Last year, Tammy had $20,000 to invest. She invested some of it in an account that paid 7% simple interest per year, and she invested the rest in an account that paid 5% simple interest per year. After one year, she received a total of $1060 in interest. How much did she invest in each account?

Answers

Answer 1
is pretty much the same as the Pablo buying the computers and City charges, so without much fuss let's proceed.

a = invested at 7%

b = invested at 5%

we know she invested a total of 20,000, thus a + b = 2000.

how much is 7% of a? (7/100) * a, 0.07a.

how much is 5% of b? (5/100) * b, or 0.05b

we know the yield is 1060, thus 0.07a + 0.05b = 1060.

[tex]\bf \begin{cases} a+b=20000\implies \boxed{b}=20000-a\\ 0.07a+0.05b=1060\\ ----------\\ 0.07a+0.05\left( \boxed{20000-a} \right)=1060 \end{cases} \\\\\\ 0.07a+1000-0.05a=1060\implies 0.02a=60 \\\\\\ a=\cfrac{60}{0.02}\implies a=3000[/tex]

how much was invested at 5%?  well, b = 20000 - a.

Related Questions

Roberto Anaya and his wife plan to rent a condominium for $725 per month. They pay a $125 monthly fee for all of the maintenance work. Their annual expenses are insurance $468, lost interest, $129; and utility bills, $3,000. What are their average monthly expenses to the nearest cent?

Answers

the answer is $1,149.75

Answer:

The average monthly expenses is $ 1,149.75

Step-by-step explanation:

Given,

The monthly rent of the condominium = $ 725,

Also, monthly fee for maintenance work = $ 125,

And, Their annual expenses are insurance $468, lost interest, $129; and utility bills, $3,000,

⇒ The total annual expenses in insurance, lost interest and utility bill = $ 468 + $ 129 + $ 3,000

= $ 3597,

⇒ The monthly expenses in insurance, lost interest and utility bills = [tex]\frac{3597}{12}[/tex]

= $ 299.75,

Hence, the average monthly expenses = monthly rent of the condominium + monthly fee for maintenance work + monthly expenses in insurance, lost interest and utility bills

= $ 725 + $ 125 + $ 299.75

= $ 1,149.75

Find the difference between the product of 26.22 and 3.09 and the sum of 3.507, 2.08,
11.5, and 16.712.

A. 4.489
B. 6.511
C. 47.2208
D. 58.3108

Answers

The product of 26.22 and 3.09 is:
26.22 * 3.09 = 81.0198

The sum of 3.507, 2.08, 11.5, and 16.712 is:
3.507+ 2.08 +11.5+ 16.712 = 33.799

The difference between the product and the sum is:
81.0198 - 33.799 = 47.2208
C. 47.2208!!!!!!!!!!!!!!!!!!!!!!!

A 5000 seat theater has tickets at $27 and $40. How many tickets should be sold at each price for a sellout performance to generate a total revenue of $158,400

Answers

Let
x =  the number of tickets sold at $27 each
y =  the number of tickets sold at $40 each

Because 5000 tickets were sold, therefore
x + y = 5000              (1)

Because the revenue generated was $158,400, therefore
27x + 40y = 158400      (2)

From (1),
y = 5000 - x          (3)

Substitute (3) into (2).
27x + 40(5000 - x) = 158400
-13x + 200000 = 158400
-13x = -41600
x = 3200
y = 5000 - x = 5000 - 3200 = 1800

Answer:
3200 tickets at $27 each, and
1800 tickets at $40 each

Final answer:

This math problem can be solved by setting up a system of linear equations. Designate the number of $27 tickets as x and the number of $40 tickets as y. You then form two equations, one for the total number of tickets (x + y = 5000) and one for the total revenue (27x + 40y = 158400). Solve these equations to determine how many of each ticket should be sold.

Explanation:

The subject of this question is a problem in algebra, specifically a system of linear equations. Let's denote the number of $27 tickets as x and the number of $40 tickets as y. The total number of tickets sold will be 5000. So, we have our first equation: x + y = 5000. The total revenue is $158,400. The revenue from $27 tickets will be $27x and the revenue from $40 tickets will be $40y. So, we have our second equation: 27x + 40y = 158400. Now, we have a system of linear equations which can be solved to find the number of each ticket type that should be sold. Solve these equations to get the desired quantity of ticket type for generating the required total revenue.

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What is the equation, in point-slope form, of the line that is perpendicular to the given line and passes through the point (−4, −3)?

a; y + 3 = −4(x + 4)
b; y + 3 = –1/4(x + 4)
c; y + 3 = 1/4(x + 4)
d; y + 3 = 4(x + 4)

Answers

What is the given line?

Suzan sees a bag of marbles, she grabs a handful at random. She has seen a bag containing four red marbles, four green ones, two white ones, and two purple ones. She grabs eight of them. Find the probability of the following event, expressing it as a fraction in lowest terms. She does not have all the red ones.

Answers

Total number of marbles = four red + four green + two white + two purple = 12

Number of marbles taken by her = 8

We have to find the probability that she does not get red.
Instead we find the probability of getting red and then we can take the complement of (getting red)

Now probability of getting red is given as:

No. Of favourable outcomes = Choose 8 out of 11= 8 C 11= (11!)/(8! * 3!)
= 165

Now to choose red balls, she will choose 4 red balls from 4 red balls and other 4 from remaining 8.
4 C 4 * 4C 8 = 70

Probability ( getting red) = 70/165

Therefore, probability (not getting red) = 1- (70/165) = 95/165 = 19/33

Martha, Lee, Nancy, Paul, and Armando have all been invited to a dinner party. They arrive randomly and each person arrives at a different time In how many ways can they arrive?

Answers

To solve this problem you have to use permutations. Permutations are where you have a group of things and you want to see how many different combinations you can make, but for these combinations the ordering matters. This would be 5P5 and the answer is they can arrive in 120 different ways.

8-(x+3)=11 solve for x

Answers

If you're subtracting to add, you must subtract a negative number to be able to solve for x. So 8-(-6+3)=11. x= -6.
first multiply -1 by everything in the parenthesis, so it would be
8 - x - 3 = 11
combine like terms (8 and -3)
5 - x = 11
subtract 5 from both sides
-x = 11-5
-x = 6
divide both sides by -1 and you get 
x = -6




On Thursday, a local hamburger shop sold a combined total of 258 hamburgers and cheeseburgers. The number of cheeseburgers sold was two times the numbers of hamburgers sold. How many hamburgers were sold on Thursday?

Answers

h+2h=258
3h=258
h=86
86 hamburgers were sold

Jamar is factoring 90x-15. Find his mistake and correct it

Answers

Answer: 15(6x - 1)

Step-by-step explanation: Jamar had a great start, by figuring out the factors of both 90 and 15; of which he picked 15.

What he got wrong was failing to do same to the value 15 exactly what he did to 90x.

To put it right, here is how to go about it:

90x - 15

Factor of both 90 and 15 is 15

Therefore:

15 (6x - 1)

This is correct. You can as well expand the result to check.

The correct factorization will be:  15(6x - 1)

Given,

90x-15

Here,

Jamar had a great start, by figuring out the factors of both 90 and 15; of which he picked 15.

What he got wrong was failing to do same to the value 15 exactly what he did to 90x.

To make it correct:

90x - 15

Factor of both 90 and 15 is 15

Therefore:

15 (6x - 1)

Hence the correct factorization is achieved .

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y varies jointly as x and z. y equals 80y=80 when x equals 5x=5 and z equals 4z=4. Find y when x equals 4x=4 and z equals 6z=6.

Answers

[tex]\bf \qquad \qquad \textit{direct proportional variation}\\\\ \textit{\underline{y} varies directly with \underline{x}}\qquad \qquad y=kx\impliedby \begin{array}{llll} k=constant\ of\\ \qquad variation \end{array}\\\\ -------------------------------\\\\[/tex]

[tex]\bf \textit{\underline{y} varies jointly as \underline{x} and \underline{z}}\implies y=kxz \\\\\\ \textit{we also know that } \begin{cases} y=80\\ x=5\\ z=4 \end{cases}\implies 80=k(5)(4)\implies 80=20k \\\\\\ \cfrac{80}{20}=k\implies 4=k\qquad thus\qquad \boxed{y=4xz}\\\\ -------------------------------\\\\ if~\begin{cases} x=4\\ z=6 \end{cases}~\textit{what is \underline{y}?}\qquad y=4(4)(6)[/tex]

Write two ways to group and add 4+2+5.

Answers

Answer:

We can use the associative property of addition to group the numbers for addition.

Step-by-step explanation:

We are given the following information in the question:

We have to add [tex]4 + 2 + 5[/tex] in two different ways.

Associative property of addition

The associative property states that you can add regardless of how the numbers are grouped. By grouped we mean how we use parenthesis.[tex](a+b)+c = a+(b+c)[/tex]

Working:

[tex]4 + 2 + 5[/tex]

[tex](4+2)+5 = 4+(2+5)\\6 + 5 = 4 + 7\\13 =13[/tex]

Final answer:

The associative property allows for different groupings of numbers when adding without affecting the sum, such as (4 + 2) + 5 and 4 + (2 + 5), both resulting in 11.

Explanation:

In mathematics, especially when dealing with arithmetic operations like addition, we have the flexibility to group numbers in different ways due to the associative property of addition. This property tells us that the way in which numbers are grouped does not affect the sum. Here's how you can group and add the numbers 4, 2, and 5 in two different ways:

Way #1: Group (4 + 2) + 5 = 6 + 5 = 11Way #2: Group 4 + (2 + 5) = 4 + 7 = 11

Both methods give us the same result, which is 11, demonstrating the associative property in action.

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20 POINTS PLEASE HELP, need it tonight
A system of equations is graphed on the coordinate plane.

2y=3x−14
y=6x−2
A. No solution
B. One solution
C. Infinitely many solutions

Answers

To answer this item, we may use the concept of substitution such that we substitute y of the second equation to y of the first equation.

   2(6x - 2) = 3x - 14

Simplifying,
    12x - 4 = 3x - 14

      x = -10/9

Calculating for the value of y,
   y = 6(-10/9) - 2
    y = -26/3

The solution of the system of linear equation is then (-10/9, -26/3).

Answer:

A

Step-by-step explanation:

Find the slope of the line that passes through (8, 10) and (1, 1). Simplify your answer and write it as a proper fraction, improper fraction, or integer.

Answers

Final answer:

The slope of the line that passes through (8, 10) and (1, 1) is 9/7.

Explanation:

To find the slope of a line that passes through two given points, (x1, y1) and (x2, y2), we use the formula:



m = (y2 - y1) / (x2 - x1)



Using the given points (8, 10) and (1, 1), we substitute the coordinates into the formula:



m = (1 - 10) / (1 - 8) = -9 / -7 = 9/7



Therefore, the slope of the line that passes through (8, 10) and (1, 1) is 9/7.

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The slope of the line that passes through the points (8, 10) and (1, 1) is calculated using the slope formula and it comes out to be 9/7, which is an improper fraction.

To find the slope of a line passing through two points, you use the slope formula:

Slope (m) = (change in y) / (change in x) = (y2 - y1) / (x2 - x1)

For the points (8, 10) and (1, 1), we calculate the slope as follows:

m = (1 - 10) / (1 - 8)

m = (-9) / (-7)

m = 9/7

Therefore, the slope of the line that passes through (8, 10) and (1, 1) is 9/7, which is an improper fraction.

The local drugstore is offering 15% off the normal price for a 16-pack of AAA batteries. If a 16-pack of AAA batteries is normally $9.99, what would be the sale price for the batteries after the discount?

Answers

It would be around $8.50 you may need to round your $9.99 to $10

Answer:

D: $8.95

Step-by-step explanation:

step 1

Calculate what 15% of the normal price is.

15% as a decimal is 0.15. Multiply this by $9.99.

0.15⋅$9.99 = $1.4985

step 2

Subtract $9.99 by $1.4985 and round the difference to the nearest cent.

$9.99 − $1.4985 = $8.4915 ≈ $8.49

step 3

Match your solution to the correct answer choice.

Answer choice D is the only answer choice that matches your solution. Select answer choice D and move on to the next question.

x(7x-3)(x^2+81)=0x (7x-3)(x2+81)=0

Answers

leave it that is the answer

Solve: The quantity 2 x minus 10 divided by 4 = 3x

Answers

the answer is x= 0
2x-10/4=3x 
2x-10/4x=3x
2x-5/2x=3x
-x/2=3x
-x=6x
-x-6x=0
-7x=0
x=0

(3.6)^x=45 solve the exponential equation?

Answers

Hello there!

(3.6)^x = 45

We wanna start by taking log of both sides.

log(3.6)^x = log(45)

x * (log(3.6))= log (45)

x = log(45)/log(3.6)

x = 2.971787

Thus, the correct answer is x = 2.97



I hope this helps!

Suppose the constant rate of change of y with respect to x is 8.5, and the value of y is 5 when the value of x is 11. what is the value of y when the value of x is 19? what is the value of y when the value of x is –1? what is the value of x when the value of y is 7?

Answers

Answer:

(x, y) = (19, 73)(x, y) = (-1, -97)(x, y) = (11 4/17, 7)

Step-by-step explanation:

You are given a point and a slope, so you can write the linear equation relating x and y using the point-slope form of the equation for a line. That form for slope m and point (h, k) is ...

  y = m(x -h) +k

For your given values, m = 8.5, and (h, k) = (11, 5), the equation relating x and y can be written ...

  y = 8.5(x -11) +5

___

Evaluating this for several different x-values can be done with a spreadsheet or calculator. I like to write the function into a graphing calculator and let it do the tedious arithmetic. (See the attachment.)

However, to show you what is involved in doing this by hand, we can ...

  let x = 19, then ...

  y = 8.5(19 -11) +5 = 8.5·8 +5 = 73

__

  let x = -1, then ...

  y = 8.5(-1-11) +5 = 8.5·(-12) +5 = -97

____

To find the value of x for y=7, we can realize that to make y go up by 2 (from the given point of 5), we need to have x go up by 2/8.5 (from the given point of 11). That is ...

  for y = 7 ...

  x = 11 + 2/8.5 = 11 + 4/17 = 11 4/17

To determine values for y based on x in a linear function, use the equation derived. For x = 19, y equals 73; for x = -1, y equals -97. Solving for x when y is 7 gives approximately 11.24.

To solve the given problem, we use the concept of a linear function which states that the change in y with respect to x is constant. Here, the constant rate of change (slope) is given as 8.5.

We can express the linear relationship in the form of the equation:

y = 8.5x + b

We are also given a point on the line: (11, 5). Plugging these values into the equation to find b:

5 = 8.5(11) + b

5 = 93.5 + b

Subtract 93.5 from both sides:

b = 5 - 93.5 = -88.5

So, the equation becomes:

y = 8.5x - 88.5

Now, let's find the values of y for the given x values:

When x = 19: y = 8.5(19) - 88.5 = 161.5 - 88.5 = 73When x = -1: y = 8.5(-1) - 88.5 = -8.5 - 88.5 = -97

To find the value of x when y = 7, we can rearrange the equation:

7 = 8.5x - 88.5

Add 88.5 to both sides:

95.5 = 8.5x

Divide by 8.5:

x = 95.5 / 8.5 = 11.2353 (approximately)

I need help answering this question.

Answers

Her credits need to be AT LEAST EQUAL TO OR GREATER THAN 144 (credit hours) so we can eliminate choices B and D.

She already completed 4 semesters in which she receives 15 credit per semester.

This expression can be written as 4(15).

She needs to do a certain remaining hours of credit which can be represented by c and only c without any other coefficient.

So, the most reasonable choice here is A.
the answer is D 4(15)+c < 144

2x + 5y = −13 3x − 4y = −8

Answers

15x-20y=-40
8x+20y=-52
____________
23x=-92
x=-4
-8+5y=-13
5y=-5
y=-1
(-4,-1)

a football game had 20 and 2/3 minutes of commercials in the first 1 1/4 hours it was on at that rate how many minutes of commercials will be shown in three and a half hours

Answers

About 57.85 minutes worth of commercials will be shown. 

How much time does it take light to travel from the moon to the earth, a distance of 384000?

Answers

V = speed of light = 3 x 108 m/s

d = distance = 384000 x 103 m = 3.84 x 108 m

time taken = t = d/V = 3.84 x 108 /(3 x 108 ) = 1.28 sec

please help solve this equation

Answers

u see that 75 degree angle...that angle and the one next to it...the angle in ur triangle...they make a linear pair and are = to 180.....so the angle in ur triangle that has no number by it, is gonna be 180 - 75 = 105.

and the interior angles of a triangle = 180
< x + 105 + 32 = 180
< x + 137 = 180
< x = 180 - 137
< x = 43 <==
the answer is 43
180-75=105
105+32=137
180-137=43
x=43

2t+8>-4(t+1)
T>___
**The sign is meant to be more than or equal to.**

Answers

2t+8>-4(t+1)
2t + 8 > -4t - 4
2t + 4t > -4 - 8
6t > -12
  t > -2

answer
  t > -2

Related Rates:
A camera televising the opening kickoff of a football game is positioned 5 yards from the east edge of the field and in line with the goal line. The player with the football runs down the east edge of the field (just in bounds) for a touchdown. When he is 10 yards from the goal line, the camera is turning 0.4 rad/sec. How fast is the player running.

I know that the professor wants a diagram with a formula, then you take the derivative of that and plug in your information to find the answer, however, i can not figure out the diagram.

Answers

check the picture below.

now, hmmm I notice the came angle rate is positive,.... meaning the camera angle is increasing, no decreasing, therefore is really turning away from the goal line, meaning the runner is not going towards the goal line, but moving away from it, was wondering, if the runner is going to the goal line, the 0.4 rad/sec should be negative, but anyway, is not.

keeping in mind that, "x" distance of 5 yards, is a constant, whilst "y" is not, and neither is the angle.

[tex]\bf tan(\theta )=\cfrac{y}{x}\implies tan(\theta )=\cfrac{1}{5}y\implies \stackrel{chain-rule}{sec^2(\theta )\cfrac{d\theta }{dt}}=\cfrac{1}{5}\cdot \cfrac{dy}{dt} \\\\\\ \cfrac{1}{cos^2(\theta )}\cdot \cfrac{d\theta }{dt}=\cfrac{\frac{dy}{dt}}{5}\implies \cfrac{5}{cos^2(\theta )}\cdot \cfrac{d\theta }{dt}=\cfrac{dy}{dt}\\\\ -------------------------------\\\\[/tex]

[tex]\bf tan(\theta )=\cfrac{10}{5}\implies tan(\theta )=2\implies \measuredangle \theta =tan^{-1}(2)\implies \measuredangle \theta \approx \stackrel{radians}{1.10715} \\\\\\ \cfrac{d\theta }{dt}=\stackrel{rad/sec}{0.4}\\\\ -------------------------------\\\\ \cfrac{5\cdot 0.4}{cos^2(1.10715)}=\cfrac{dy}{dt}[/tex]

which ends up at 10.

make sure your calculator is in Radian mode, since the angle is in radians.

In 10 minutes a heart can beat 700 times. At what rate can a heart beat?

Answers

Heart will beat 140 times in 2 minutes.
Heart beats at a rate of 70 beats per minute.

(How it's done down below)

In 0 minutes heart beats 700 times

hence in 1 minute it will beat 700/10=70 times

and heart will beat 140 times in 140/70=2 minutes

Answer:

Heartbeats at a rate of 70 beats per minute.

Explanation:
In 10 minutes heart beats 700 times

hence in 1 minute it will beat 700 ÷ 10=70 times

12 ch 5 warm up: people's weights (java) (1) prompt the user to enter five numbers, being five people's weights. store the numbers in an array of doubles. output the array's numbers on one line, each number followed by one space. (2 pts) ex: enter weight 1: 236.0 enter weight 2: 89.5 enter weight 3: 142.0 enter weight 4:

Answers

Final answer:

The code provided guides the user through entering five weights using a Scanner object, stores them in a double array, and then prints them all on one line separated by spaces.

Explanation:

To address the question of prompting the user to enter five people's weights and storing them in an array of doubles in Java, we need to provide a short piece of code executing this task.

The code will look something like this:

import java.util.Scanner;
class Main {
 public static void main(String[] args) {
   Scanner scanner = new Scanner(System.in);
   double[] weights = new double[5];

   for(int i = 0; i < weights.length; i++) {
     System.out.println("Enter weight " + (i+1) + ": ");
     weights[i] = scanner.nextDouble();
   }

   System.out.println("The entered weights are:");
   for(double weight : weights) {
     System.out.print(weight + " ");
   }
 }
}

This code initializes a Scanner to take user input, creates an array of doubles to store the weights, and uses a for loop to iterate over the array, prompting the user to enter a weight for each element. It then prints out each weight followed by a space.

Will give brainliest!
How long will it take the tool to fall to the ground?
The function for objects dropped from a height where t is the time in seconds, h is the height in feet at time t, and h0 is the initial height is h(t)=-16t^2+h0. The building I already figured to be 162 feet.
Thank You!!

Answers

check the picture below, it hits the ground when y = 0.

[tex]\bf ~~~~~~\textit{initial velocity}\\\\ \begin{array}{llll} ~~~~~~\textit{in feet}\\\\ h(t) = -16t^2+v_ot+h_o \\\\ \end{array} \quad \begin{cases} v_o=\stackrel{0}{\textit{initial velocity of the object}}\\\\ h_o=\stackrel{162}{\textit{initial height of the object}}\\\\ h=\stackrel{}{\textit{height of the object at "t" seconds}} \end{cases} \\\\\\ h(t)=-16t^2+0t+162\implies 0=-16t^2+162\implies 16t^2=162 \\\\\\ t=\cfrac{162}{16}\implies t=\cfrac{81}{8}\implies t=10\frac{1}{8}[/tex]

A wedding dress is on sale for $225.00,which is 25% off of the original price. What was the original price. how do you solve this?

Answers

Answer:

  $300

Step-by-step explanation:

Write an equation for the the sale price in terms of the original price. Then solve for the original price.

  sale price = (original price) - (percent off) × (original price)

Factoring out the (original price), we have ...

  sale price = (original price) × (1 - percent off)

We can find the original price by dividing this equation by (1 - percent off).

  (sale price)/(1 -percent off) = original price

Putting in the numbers, we get ...

  $225/(1 -25%) = original price

  $225/(1 - 25/100) = $225/(1 -0.25) = $225/0.75 = original price = $300

What is the equation of the line (8,-6) 8x-3y=7

Answers

plug in the x and y to the respective areas

8(8)- 3(-6) = 7
64 - (-18) = 7
82 = 7

false

this points listed above does not work

hope this helps
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"She myself recieved the best grade in the class."a. the sentence is correctb. there is an error in the sentence "Myself should be moved so that it is right after recieved"c. there is an error in the sentence "Myself should be changed to herself"d. there is an error in the sentence "Myself should be changed to ourselves" What is the sum of -7/18 and -3/6a.) -4/9b.) - 8/9c.) 4/9d.) 8/9 What are all 4 levels of the energy pyramid? HELP ASAP What is the ordered pair for point K? A. (4,5) B. (4,5) C. (5,4) D. (4,5) which word has the same vowel sound as fish?? a.pill,b.smile,c.hide,d.drive Which part of the nervous system is the first to work when Joshue feels a raindrop fall on his arm? collection of dimes and quarters has a total of $19.55. If there are three times as many quarters as dimes, find the number of each? Ce quoi la mme famille de mot Lait PLEASE ANSWER! BRAINLIESTTTTTEllen has $75 in her savings account. She deposits $25 every week. Her father also deposits $35 into the account every time Ellen mows the lawn. Her savings account balance can be shown with the following expression:75 + 25w + 35mPart A: Identify a coefficient, a variable, and a constant in this expression. (3 points)Part B: If Ellen saves for 8 weeks and mows the lawn 2 times, how much will she have in her account? Show your work to receive full credit. (4 points)Part C: If Ellen had $95 in her savings account, would the coefficient, variable, or constant in the expression change? Why? (3 points) Please help me please I will make you brainlist if you want to be and also this will be like (20 POINTS) please answer every single question and you will get all of this if you want it just please help me on all of the questions and only give me the answers please and I will follow you too so please help me This is the story Linda sat at the table hard at work on a painting. She looked out the window studying the view of the backyard. What she saw seemed simple enough trees, grass, large boulders, and a very blue sky but to her the view had a pattern, a pattern that spoke to her and that she wanted to put in her painting. This painting was the one she would enter into the contest at school. She wanted so much to win the award it meant everything to her it would be proof that she was an artist. The award was what she thought about most every day and what she talked about to her family and friends. Today both of her parents were at work. Linda and her little sister, Nina, her grandmother, and her baby brother, Carlos, were at home. Her other brothers, Luis and Miguel, were playing basketball at the community center just down the road. Since it was the weekend, Linda had time to concentrate on the painting, which she needed to finish by the next day. Nina was sitting at the table too, doing her own painting of stick figures in bright colors. Linda encouraged Nina to paint and Nina loved doing it. Linda showed Nina how to put the brush into water and then into the paint. Nina was only five, but she learned very quickly. The colors danced on the paper with each stroke of her brush. Your picture is great! Remember to be neat, Nina, Linda warned her sister. Nina sometimes showed a bit too much exuberance when she painted. Linda was very precise when she painted, as though she had a clear and vivid vision in her head which she was copying. It was about three oclock when her grandmother reminded Linda that she had to complete her household chores for the day. At first Linda felt annoyance because she was almost finished with the painting and did not want to stop, but she knew she had to do what was expected of her. Being the oldest child was sometimes difficult, Linda thought to herself. She had more responsibility than the others, but being the oldest carried some advantages. She could stay up late at night and have a little more independence When she had finished her chores, she went back to the table where Nina was sitting, obviously very intent on doing something. As Linda went over to her and looked down, her expression drooped. Nina, she cried. No, no, stop, stop. Thats my painting. What are you doing to my painting? she asked. Nina looked up surprised by what Linda said. I was helping you I wanted you to win the contest, Nina answered in a tiny voice, concerned now by the look on her sisters face, but proud of the little stick people she had drawn in the landscape Tears welled up in Lindas eyes as she realized that her painting was probably ruined. She looked again at her sister who seemed so troubled by Lindas reaction. Linda took the painting and went into the kitchen. Grandma, look at what she has done she has ruined my painting, she told her grandmother as she cried. Now I wont be able to win the award I wont win the award at all. Her grandmother didnt know what to say but held out her arms and Linda clung to her, not knowing what she should do. It will be all right, she told her. You can do another. But Linda knew there would not be time between now and the next morning to finish a painting. Linda told her grandmother she needed to be alone and ran out of the house into the backyard without saying goodbye to Nina. Nina wanted to follow her but her grandmother said she shouldnt. Linda felt cheated. She knew that Nina hadnt understood and wanted to help, but now she would not win the award. She cried again, but as time went by, her tears dried and she began to realize that even though she was disappointed, life would go on, and in time she would forget all about the contest. Suddenly, from somewhere inside her, she began to get a feeling of hope. Maybe I wanted that award too much, she said to herselfas she realized that being an artist wasnt about awards. Suddenly she knew there would be many other paintings in her life and other awards. There would be plenty of time to become an artist, but there would only be one Nina. She turned back toward the house, hurrying. She wanted to go in and hug Nina.1. Which statement would best describe the time of the story?A. Advantages come with ageB. Know what is most impor tangC. Do your best in order to succedD. Pursue your dreams2. Which statement BEST describes the lesson of the passage?A. It is hard work to pursue your dreamsB. Life is bigger than our current desiresC. People need help to achieve their goalsD. Creativity needs an outlet to express itself A bottle of concentrated aqueous sulfuric acid, labeled 98.0 wt% h2so4, has a concentration of 18.0 m. (a) how many milliliters of reagent should be diluted to 1.000 l to give 1.00 m h2so4? (b) calculate the density of 98.0 wt% h2so4. if the population of state is 1,821,000 decreasing by 0.2% every year what will the population be in 5 years PLEASE PLEASE HELP If angle a and angle b are complements and m angle a=36 degrees, what is angle b The function f(x) is shown in the graph.What is the equation for f(x)?Enter your answer in the box. While agriculture solved many problems for Neolithic people, it created new challenges.plants and animals became the source of food. A or a bad harvest could lead to starvation. One of the best ways to research a college is to Steam Workshop Downloader