Answer:
After 28 years, it will be $131,200
Step-by-step explanation:
It is given that the investment doubles in value every 7 years.
So, after 7 years, it will be 8200 × 2 = 16,400
After 14 years, it will be 16,400 × 2 = 32,800
After 21 years, it will be 32,800 × 2 = 65,600
After 28 years, it will be 65,600 × 2 = 131,200
Hence, the investment is $131,200 worth after 28 years.
The graph shows the height, y, in centimeters, of a plant after a certain number of weeks, x. Shania drew the line of best fit on the graph.
A graph titled Plant Height shows Number of Weeks on x axis and Height of Plant in cm on y axis. The scales on both x and y axes are shown from 0 to 5 at increments of 5. The graph shows dots at the ordered pairs 0, 1 and 0.5, 1.2 and 1, 1.4 and 1.5, 2 and 2, 2.4 and 2.5, 2.7 and 3, 3 and 3.5, 3.3 and 4, 3.5 and 4.5, 3.8 and 5, 4. A straight line joins the ordered pairs 0, 1 and 5, 4
What would most likely be the approximate height of the plant after 7 weeks?
5.2 centimeters
7.6 centimeters
8.7 centimeters
12.7 centimeters
Answer:
5.2 cm.
Step-by-step explanation:
Given :
Number of Weeks(x) Height of Plant (y)
0 1
0.5 1.2
1 1.4
1.5 2
2 2.4
2.5 2.7
3 3
3.5 3.3
4 3.5
4.5 3.8
5 4
We are given that A straight line joins the ordered pairs 0, 1 and 5, 4
So, we will find the equation of line using two point slope form:
[tex]y-y_1=\frac{y_2-y_1}{x_2-x_1}(x-x_1)[/tex]
[tex](x_1,y_1)=(0,1)[/tex]
[tex](x_2,y_2)=(5,4)[/tex]
Substitute the values in the formula
[tex]y-1=\frac{4-1}{5-0}(x-0)[/tex]
[tex]y-1=\frac{3}{5}(x)[/tex] ---A
Now we are supposed to find e the approximate height of the plant after 7 weeks.
Substitute x = 7 in A
[tex]y-1=\frac{3}{5}(7)[/tex]
[tex]y=\frac{3}{5}(7)+1[/tex]
[tex]y=5.2[/tex]
Hence the approximate height of the plant after 7 weeks is 5.2 cm.
Write 0.8 repeating as a fraction
Answer: 8/9
Step-by-step explanation: I got the answer right
What is the midpoint of the line segment with endpoints (1,6) and (-3,4)?
A bag has 6 yellow marbles and 6 brown marbles. Half of the brown marbles are made of glass. A marble is selected at random from the bag. What is the probability that it is a brown, glass marble?
Write your answer as a fraction in simplest form.
whats the property in equation 3(2x-6)=6x-18
How long is a football field
the distance between goal lines is 100 yards, each end zone is 10 yards
so total length of a football field is 120 yards
Alina spent no more than $45 on gas for a road trip. The first gas station she used charged $3.50 per gallon and the second gas station charged $4.00 per gallon. Which inequality relates the number of gallons of gas she bought at the first station, x, the number of gallons of gas she bought at the second station, y, and the total amount she paid? What are the possible values of y?
Answers
A)3.5x + 4y ≥ 45, y ≥ 11.25
B)3.5x + 4y ≥ 45, 0 ≤ y ≤ 10.375
C)3.5x + 4y ≤ 45, 0 ≤ y ≤ 11.25
D)3.5x + 4y ≤ 45, y ≥ 10.375
Answer:
Option C is correct.
Step-by-step explanation:
Alina spent no more than $45 on gas for a road trip.
Let gallons bought at first station be = x
Let gallons bought at the second station be = y
The first gas station she used charged $3.50 per gallon and the second gas station charged $4.00 per gallon.
Equations become: 3.50x and 4y
Total money spent on gas is no more than $45.
So, complete equation is given as:
[tex]3.50x+4y \leq 45[/tex]
To know the possible value of y let us assume she bought all the gas from second station.
[tex]4y\leq 45[/tex]
[tex]y\leq 11.25[/tex]
As the number of gallons can not negative, range is:
[tex]0\leq y\leq 11.25[/tex]
Therefore, option C is correct.
3(x+1)-[2(3-2x)-3(3-x)]
Tommy and Zach are starting out at the same position. Tommy runs north at 3 miles per hour and Zach starts to run east 2 hours later at the rate of 4 miles per hour. How long until Tommy and Zach are 8 miles apart?
Zach=2 hours Tommy= 3 1/2 hours
which of the following is an example of a common topic.
A) anyone can be brave.
B) freedom takes sacrifice.
C) the box was broken.
D) bravery.
Answer:
D. Bravery
Step-by-step explanation:
Bravery is a general topic.
Which undefined term is needed to define a circle
Answer:
the first one is "point" and the second is "1/2"
Step-by-step explanation:
Margie calculated that she would spend $175 on school supplies this year. She actually spent $97.50 on school supplies. What is Margie’s percent of error? 77.3% 79.5% 44.2% 4.4%
Margie’s percent of error is 79.5%.
First step is to calculate the amount that Margie was off by
Amount=$175 - $97.50
Amount=$77.5
Second step is to find Margie percent of error
Percent of error=77.5 / 97.50× 100
Percent of error = 79.48717949%
Percent of error=79.5% (Approximately)
Inconclusion Margie’s percent of error is 79.5%.
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The scores of several classmates on a language arts test are shown below: 86 points 87 points 87 points 94 points 95 points 82 points 78 points 89 points 80 points 84 points What is the median score for these students?
Answer:
78,80,82,84,86,87,87,89,94,95
86+87/2 = 86.5
Step-by-step explanation:
How much is 1 foot line of quarters worth
a quarter is 1.75 mm thick
1 mm = 0.0393701 inches
0.0393701/12 = 25.4 mm per inch
25.4/1.75 = 14.5 quarters per inch
14.5 x 12 = 174 quarters per foot
174 x 0.25 = 43.50
$43.50 for a foot of quarters
If a scale model of a building is 5 inches wide by 7inches long. if the scale is 1 in.:15ft,how long is the building?
If a scale model of a building is 5 inches wide by 7inches long then the real-life length of the building is 105 feet.
What is Unit of Measurement?A unit of measurement is a definite magnitude of a quantity, defined and adopted by convention or by law, that is used as a standard for measurement of the same kind of quantity.
If the scale of the model is 1 inch : 15 feet, this means that every inch on the model represents 15 feet in real life.
The model is 5 inches wide by 7 inches long.
Let's use the length dimension to find the real-life length of the building:
7 inches on the model represents 7 x 15 = 105 feet in real life.
Therefore, the real-life length of the building is 105 feet.
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Evaluate the following expression.
5-3
subtract 5-3 = 2
check 2+3 =5
What is tan 45 degrees
Tan 45* = one
If this helps please give brainliest ;)
Answer:
tan 45°= 1
Step-by-step explanation:
you find the opposite/adjacent= 1
Triangle XYZ is reflected across the line y=x and X'= (2, -15). What are the coordinates of X,?
Answer:
the answer to this is A
Step-by-step explanation:
sharon and anthony dropped a stone from a 150-foot cliff. find the time, t, in seconds that it will take for the stone to reach the ground. let t=1/4 square root of s, where s represents the distance in feet the stone will fall.
What are the fractions of 48
Gavin agrees to buy a 6-month package deal of monthly gym passes and in turn receives a 15% discount. Write an algebraic expression to represent the total cost of the monthly passes with the discount, if x represents the cost of each monthly pass.
scientific notation of 19 hundred thousandths
Final answer:
The scientific notation of 19 hundred thousandths (0.0019) is 1.9 × 10⁻³, accomplished by moving the decimal point three places to the right.
Explanation:
The scientific notation of the number 19 hundred thousandths, which is written as 0.0019 in decimal form, involves expressing it as the product of a number between 1 and 10 and a power of 10. To convert to scientific notation, we must move the decimal point three places to the right, which will change the number to 1.9. Since we moved the decimal point to the right, the exponent will be negative. Therefore, 0.0019 in scientific notation is 1.9 × 10⁻³.
Tickets to a concert cost 2$ for children and 5$ for adults. If 630 people attended the concert and ticket sales totaled 2,910$, how many children attended the concert
c= children
a= adults
c+a = 630
c=630-a
2c + 5a = 2910
2(630-a) +5a=2910
1260-2a+5a=2910
1260+3a=2910
3a=1650
a = 1650/3=550
550 adult tickets
630-550 = 80 children's tickets
check:
550*5 = 2750
80*2=160
2750+160=2910
A machine factory produces 2 parts per second. One shift is 10 hours long. What is the production rate in parts per shift?
60 seconds per minute
2 x 60 = 120 parts per minute
60 minutes per hour
120*60 = 7200 parts per hour
7200 x 10 hours = 72,000 parts per 10 hour shift
Which of the fractions shown has the greatest value?
2/4
4/7
1/3
4/9
Answer:
4/7 has the greatest value; it is .57
Step-by-step explanation:
i need help on this math problem
Multiply (4+I)(1-5i)
Answer:
9 - 19i
Step-by-step explanation:
Solve x3 = 1 over 8.
Answer:
The simplified form of the provided equation is 1/2.
Step-by-step explanation:
Consider the provided equation.
[tex]x^3=\frac{1}{8}[/tex]
8 can be written as 2³
1 can be written as 1³
Therefore the provided equation can be written as:
[tex]x^3=\frac{1^3}{2^3}[/tex]
[tex]x^3=(\frac{1}{2})^3[/tex]
[tex]x=\frac{1}{2}[/tex]
Hence, the simplified form of the provided equation is 1/2.
The solution to the system of equation below is (−2, −1).
2x − 3y = −1
11x − 9y = −13
When the first equation is multiplied by −3, the sum of the two equations is equivalent to 5x = −10.
Which system of equations will also have a solution of (−2, −1)?
5x = −10
11x − 9y = −13
2x + 9y = −1
11x − 9y = −13
−6x + 9y = −1
11x − 9y = −13
−6x + 3y = −1
5x = −10
Answer:
The correct option is 1.
Step-by-step explanation:
If a system of equation have solution (a,b), then the equations of system must be satisfied by the point (a,b).
It is given that the system of have solution (-2,-1), so the equations of system must be satisfied by the point (-2,-1).
The system of equation in option 1 is
[tex]5x=-10[/tex]
[tex]11x-9y=-13[/tex]
Put (-2,-1) in the above equations.
[tex]5(-2)=-10\Rightarrow -10=-10[/tex]
[tex]11(-2)-9(-1)=-13\Rightarrow -13=-13[/tex]
Since left hand side is equal to right hand side, therefore the point (-2,-1) satisfy the equations and (-2,-1) is the solution of the given system.
Similarly check the other system of equations, whether the point (-2,-1) stratify the equations or not.
In option 2,
[tex]2x+9y=-1[/tex]
[tex]2(-2)+9(-1)=-1\Rightarrow -13=-1[/tex]
Since left hand side is not equal to right hand side, therefore the point (-2,-1) is not the solution of this system of equation.
In option 3,
[tex]-6x+9y=-1[/tex]
[tex]-6(-2)+9(-1)=-1\Rightarrow 3=-1[/tex]
Since left hand side is not equal to right hand side, therefore the point (-2,-1) is not the solution of this system of equation.
In option 4,
[tex]-6x+3y=-1[/tex]
[tex]-6(-2)+3(-1)=-1\Rightarrow 9=-1[/tex]
Since left hand side is not equal to right hand side, therefore the point (-2,-1) is not the solution of this system of equation.
Only option 1 is correct.
I REALY NEED HELP!
In kite ABCD, m∠ACD=82°. What is m∠DCE?
1.)41°
2.)82°
3.)90°
4.)98°
Answer:
(A)41°.
Step-by-step explanation:
We know that in Kite, the diagonals are the angle bisectors, therefore
In Kite ABCD, m∠ACD=82°, thus
[tex]m{\angle}DCE=\frac{1}{2}m{\angle}ACD[/tex]
Substituting the given value, we have
⇒[tex]m{\angle}DCE=\frac{1}{2}(82^{\circ})[/tex]
⇒[tex]m{\angle}DCE=41^{\circ}[/tex]
Therefore, the measure of m∠DCE is 41°.
Hence, option A is correct.