NEED ASAP PLEASE HELP!!!! An employee deposits $400 of their pay check into an investment account that earns 2.6% interest annually. No withdrawals or deposits are made over a 6 year period. Find the value of the account in 2 years

Answers

Answer 1

Answer:

$420.8

Step-by-step explanation:

An employee deposits $400 of their paycheck into an investment account that earns 2.6% interest annually.

We assume that the investment account gives a simple interest against the deposits.

If there is no withdrawals or deposits in the account other than this, then after 2 years the sum in the account will be  

[tex]400(1 + \frac{2.6 \times 2}{100}) = 420.8[/tex] dollars (Answer)

Answer 2

Answer:

The amount in the account after 2 years is $421.04

Step-by-step explanation:

Given as :

The principal deposited into account = p = $400

The rate of interest applied = r = 2.6%

The time period = t = 2 year

Let The amount for 2 years in the account = $A

From Compound Interest method

Amount = Principal × [tex](1+\dfrac{\textrm rate}{100})^{\textrm time}[/tex]

Or, $A = p × [tex](1+\dfrac{\textrm r}{100})^{\textrm t}[/tex]

Or, $A = $400 × [tex](1+\dfrac{\textrm 2.6}{100})^{\textrm 2}[/tex]

Or, $A = $400 × (1.026)²

Or, $A = $400 × 1.0526

A = $ 421.04

So, The amount =  A = $421.04

Hence The amount in the account after 2 years is $421.04 Answer


Related Questions


Question 1
You answer 24 questions on a 100-point test correctly and earn a 96%.

a. All of the questions are worth the same number of points. How many questions are on the test? How many points is each question worth?

There are
questions on the test.

Each question is worth
points.

Question 2
b. Your friend earns a grade of 76% on the same test. How many questions
did your friend answer correctly?

Your friend answered
questions correctly.

plz help

Answers

Answer:

a) There are Total 25 Question on the test.

    Each question is worth 4 points.

b) Your friend answered 19 questions correctly.

Step-by-step explanation:

Given:

Question answered =24

Percent earn = 96%

Total point test = 100

We will first solve for part a.

We need to find Total Question on the test and Points worth each question.

Now We know that percent earn is equal to Question answered divided by Total Question on test and ten multiplied by 100.

Framing in equation form we get;

[tex]Percent\ earn = \frac{\textrm{Question Answered}}{\textrm{Total question on test}}\times 100\\ \\\textrm{Total question on test} = \frac{\textrm{Question Answered}}{\textrm{Perecent earned}}\times 100[/tex]

Substituting the given values we get;

Total question on test = [tex]\frac{24}{96}\times 100 =25[/tex]

Hence There are Total 25 Question on the test.

Now we will find each question worth points.

each question worth points can calculated by dividing Total Point test with total number of question on the test.

Framing the equation we get;

each question worth points = [tex]\frac{100}{25} = 4\ points[/tex]

Hence Each question is worth 4 points.

Now Solving for part b.

Given:

Percent earn by friend = 76%

we need to find number of question answered correctly.

question answered correctly = [tex]\frac{\textrm{Percent earned by friend}\times \textrm{Total Number of question}} {100}[/tex]

Substituting the values we get;

question answered correctly = [tex]\frac{76\times 25}{100} = 19[/tex]

Hence Your friend answered 19 questions correctly.

Answer:

a) There are Total 25 Question on the test.

   Each question is worth 4 points.

b) Your friend answered 19 questions correctly

Step-by-step explanation:

What the product to (-3q+3)+7(8q+1)

Answers

Answer:

53q+10

Step-by-step explanation:

(-3q+3)+7(8q+1)

-3q+3+56q+7

53q+3+7

53q+10

Answer:

[tex] - 3q + 3 + 56q + 7 \\ 53q + 10[/tex]

Good luck!

Intelligent Muslim,

From Uzbekistan.

the ratio of the point (-3,k) divides the line segment joining the points (-5,-4) and (-2,3) also find the value of k

Answers

Step by step equation

Answer:

Step-by-step explanation:

midpoint theorem : (mx₂+nx₁/m+n , my₂+ny₁/m+n)

(-3, k) = ( -3*-2 + k*-5/-3+k  , -3*3 + k*-4/-3+k)

(-3, k) = (6-5k/-3+k , -9-4k/-3+k)

Compare x values of  both side ;

-3 = 6-5k/-3+k

-3 *( -3+k) = 6-5k

-3*-3 +k *-3 = 6-5k

9 -3k = 6- 5k

5k -3k = 6 - 9

2k = -3

k= -3/2

The population of a town went from 100000 to 137000 in 5 years. What was the percent increase in the town's population over that time?

Answers

Answer: 37%

Step-by-step explanation:

Initial Population                                        = 100,000

 Population after 5 years                            = 137,000

Population increase                                    = 137,000 - 100,000

                                                                     = 37,000

Therefore % increase                                  = 37,000/100,000 x 100

                                                                     = 37%

the local music activities coordinator sold 300 tickets to the orchestra concert. student tickets were $4 and adult tickets were $6. if the total sales were $1,600 how many student tickets were sold

Answers

100 children tickets and 200 adult tickets were sold.

Step-by-step explanation:

Given,

Cost of one student ticket = $4

Cost of one adult ticket = $6

Total sales = $1600

Number of tickets sold = 300

Let,

x represent the number of children tickets sold.

y represent the number of adult tickets sold.

According to given statement;

x+y=300      Eqn 1

4x+6y=1600   Eqn 2

Multiplying Eqn 1 by 4

[tex]4(x+y=300)\\4x+4y=1200\ \ \ Eqn\ 3[/tex]

Subtracting Eqn 3 from Eqn 2

[tex](4x+6y)-(4x+4y)=1600-1200\\4x+6y-4x-4y=400\\2y=400[/tex]

Dividing both sides by 2

[tex]\frac{2y}{2}=\frac{400}{2}\\y=200[/tex]

Putting y=200 in Eqn 1

[tex]x+200=300\\x=300-200\\x=100[/tex]

100 children tickets and 200 adult tickets were sold.

Keywords: linear equation, elimination method

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Simplify
Please help

Answers

Answer:

D

Step-by-step explanation:

Given

- 4x² - 5(x + 3) + x² ← distribute the parenthesis by - 5

= - 4x² - 5x - 15 + x² ← collect like terms

= - 3x² - 5x - 15

Is p = 6m + 9m a proportional relationship?

Answers

Answer:

yes

Step-by-step explanation:

Yes it is because they both can be divided by 3

Please Help!
A function is represented by the values in the table.
x y
22 26
20 22
16 20
14 18
10 14
Choose from the drop-down menu to complete the statement. The function represented in the table (Is or is not) linear.
Pick one: Is or is not.

Answers

I think it is not because it’s also not proportional and they are basically identical except for what b is equal to

function is a relationship between inputs where each input is related to exactly one output.

The coordinates of the table are: (22, 26), (20, 22), (16, 20), (14, 18),

(10, 14).

The graph of the coordinates formed from the table must show a linear graph.

This means a straight line.

The graph is shown below and it is not a straight line.

The function represented in the table is not linear.

What is a function?

function is a relationship between inputs where each input is related to exactly one output.

Example:

f(x) = 2x + 1

f(1) = 2 + 1 = 3

f(2) = 2 x 2 + 1 = 4 + 1 = 5

The outputs of the functions are 3 and 5

The inputs of the function are 1 and 2.

We have,

A function is represented by the values in the table.

x      y

22   26

20   22

16    20

14     18

10     14

Now,

We can find the coordinates of the given function.

(22, 26)

(20, 22)

(16, 20)

(14, 18)

(10, 14)

The graph of these coordinates must show a linear graph.

This means a straight line.

The graph is shown below and it is not a straight line.

Thus,

The function represented in the table is not linear.

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How do you write 33% as a fraction

Answers

Answer:

1/3 simplified or 33/100

Step-by-step explanation:

33% is around one third of 100%. Aka, you multiply 33(.33)% by 3 to get 100% or you can leave it as 33/100.

HELP ASAP. Gotta get this done.

Answers

The answer is 20. All number on the left are multiplied by 4

Answer:

C

Step-by-step explanation:

The ratio of frames : containers can be calculated using values from table.

3 : 12 = 7 : 28 = 9 : 36 = 1 : 4 ← in simplest form, thus

Number of containers is 4 times the number of frames

Thus for 5 picture frames the number of containers = 5 × 4 = 20 → C

The school uses between 300 and 400 sheets of paper per school day. If paper costs the school $2.00 per 100 sheets, approximately how much does the school pay for paper every month? (Remember to only count school days!) A. $140.00 B. $190.00 C. $170.00 D. $90.00

Answers

Answer:

Option A. $140.00

Explanation:

1. Using the minimun number of sheets  of paper in the interval [300, 400]

a) Cost: $ 2.00 / 100 sheets

b) 300 sheets / day × $ 2.00 / 100 sheets = $ 6.00 / day

c) Approimately 20 school days per month:

$ 6.00 / day × 20 day = $ 120.00

2. Using the maximum number of sheets of paper in the interval [300, 400]

a) Cost: $ 2.00 / 100 sheets

b) 400 sheets / day × $ 2.00 / 100 sheets = $ 8.00 / day

c) Approimately 20 school days per month:

$8.00 / day × 20 day = $ 160.00

3. Middle value:

Calculate the middle value between $160.00 and $120.00

[$120.00 + $160.00] / 2 = $140.00

Thus, the answer is the option A.

NEED HELP ASAP!!!!!
Find f(x) and g(x) so that the function can be described as y = f(g(x)).


y = seven divided by square root of quantity eight x plus ten.

Answers

Answer:

B

Step-by-step explanation:

To find [tex]y=f(g(x))[/tex], substitute the value of [tex]g(x)[/tex] into the the function f(x) instead of x.

Consider option B:

Given

[tex]f(x)=\dfrac{7}{\sqrt{x}}\\ \\g(x)=8x+10[/tex]

So,

[tex]f(g(x))\\ \\=f(8x+10)\ [\text{Expression } 8x+10\text{ has a role of }x]\\ \\=\dfrac{7}{\sqrt{8x+10}}[/tex]

This is exactly what you need as answer.

Which of the following numbers has a prime factorization of 2 x 5 x 5?

Answers

Answer:

5×5

Step-by-step explanation:

the factorazation is 5×5

Final answer:

The number with a prime factorization of 2 x 5 x 5 is 50, which is obtained by multiplying 2 by 5 squared (2 x 25).

Explanation:

The student asked which of the following numbers has a prime factorization of 2 x 5 x 5. The prime factorization given can also be written as 2 x 52, since 5 x 5 equals 52 or 25. Therefore, we are looking for a number that is the product of 2 and 25.

By multiplying 2 by 25, we find that the correct answer is 2 x 25 = 50. Thus, the number that has a prime factorization of 2 x 5 x 5 is 50.

Samantha is measuring the snowfall in a snow Gog for her science project. The first week she measured 3 3/4 inches of snow the second week she measured twice as much snow, and the third weekShe measured half as much snow as the first week. It did not snow at all in the fourth week. How much snowfall did Samantha measure for the entire month? Explain

Answers

Samantha measured [tex]13\frac{1}{8}[/tex] inches for the entire month

Step-by-step explanation:

Samantha is measuring the snowfall in a snow Gog for her science project

The first week she measured 3 3/4 inches of snowThe second week she measured twice as much snow, and the third week she measured half as much snow as the first weekIt did not snow at all in the fourth week

We need to find how much snowfall Samantha measured for the entire month

∵ She measured [tex]3\frac{3}{4}[/tex] inches of snow in the 1st week

- Change the mixed number to improper fraction

∵ [tex]3\frac{3}{4}=\frac{(3)(4)+3}{4}=\frac{12+3}{4}=\frac{15}{4}[/tex]

∴ She measured [tex]\frac{15}{4}[/tex] inches of snow in the 1st week

∵ She measured twice as much snow as the 1st week in the 2nd week

- Multiply the value of the 1st week by 2

∵ [tex]\frac{15}{4}[/tex] × 2 =  [tex]\frac{30}{4}[/tex]

∴ She measured [tex]\frac{30}{4}[/tex] inches of snow in the 2nd week

∵ She measured half as much snow as the 1st week in the 3rd week

- Multiply the value of the 1st week by 1/2

∵ [tex]\frac{15}{4}[/tex] × [tex]\frac{1}{2}[/tex] =  [tex]\frac{15}{8}[/tex]

∴ She measured [tex]\frac{15}{8}[/tex] inches of snow in the 3rd week

∵ It did not snow at all in the fourth week

- Add the values of the three weeks above to find the amount

  of snowfall she measured for the entire month

∵ The amount of snowfall = [tex]\frac{15}{4}+\frac{30}{4}+\frac{15}{8}[/tex]

- To add the fraction you must make all the denominator same number

  so multiply the 1st and 2nd fractions by 2 up and down to make all

  the denominator equal 8

∴ The amount of snowfall = [tex]\frac{30}{8}+\frac{60}{8}+\frac{15}{8}[/tex]

- Add the numerators and put the sum over 8

∴ The amount of snowfall = [tex]\frac{105}{8}[/tex]

- You can change the improper fraction to mixed number by divide

  105 by 8 and put the reminder over 8

∵ 105 ÷ 8 = 13 and 1/8

∴ The amount of the snowfall = [tex]13\frac{1}{8}[/tex] inches

Samantha measured [tex]13\frac{1}{8}[/tex] inches for the entire month

Learn more:

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Devin inveated $750 in a CD that pays 6% simple interest, calculated quarterly. How much money will Devin earn in 3 years?​

Answers

Answer:

$896.70

Step-by-step explanation:

Amount( A) Devi earned can be calculated from the formula below

[tex]A =P ({ 1 + \frac{r}{m} })^{mt}[/tex]

Where,

P= principal=$750

r=rate=6%=0.06

m=compounding frequency=4

t=time=3yrs

[tex]A =750 ({ 1 + \frac{0.06}{4} })^{(4 \times 3)}[/tex]

[tex]A =750 ({ 1 + 0.015)}^{12}[/tex]

[tex]A =750 \times ({ 1.015)}^{12}[/tex]

[tex]A =750 \times 1.1956[/tex]

[tex]A = 896.70[/tex]

Answer:

135

885-750 is 135 on financial literacy

Sophia has completed 80% of the problems on her math test. She has completed 32 problems. What is the total number of problems on the test?

Answers

Answer:

40

Step-by-step explanation:

80% of the test = 32 questions

100% of the test = x questions

Cross multiply

80*x = 100 * 32   Combine the right

80x = 3200         Divide by 80

x = 3200/80

x = 40

There are 40 questions on the test.

There are 136 people waiting for a river raft ride. Each raft holds 8 people. Silvia used the work below to find the number of rafts needed to hold 136 people. Explain how her work helps to find out how many rafts are needed.



8 % 136

-80

= 56 - 56 =0

Answers

Answer:

17 rafts are needed for 136 people.

Step-by-step explanation:

Given:

Total number of people waiting for river raft ride = ?

Number of people the raft holds = 8

To Find:

The number of rafts needed =?

Solution:

Let X be the total number rafts needed to accommodate  all the 136 people waiting for the River Raft ride.

So now X will be

X= [tex]\frac{\text{Total number of people}}{\text{number of people a raft can hold}}[/tex]

X= [tex]\frac{136}{8}[/tex]

X = 17

what number is not part of the domain of the function: g(x)=x+2/x-1 ? how can you tell?

Answers

Answer:

x = 1 is not part of the domain

Step-by-step explanation:

The denominator of g(x) cannot be zero as this would make g(x) undefined. Equating the denominator to zero and solving gives the value that x cannot be.

solve

x - 1 = 0 ⇒ x = 1 ← restricted value

Final answer:

The number x = 1 is not part of the domain of the function g(x) = (x+2)/(x-1) because setting x to 1 would result in division by zero, which is undefined. Thus, x = 1 is an asymptotic value and is excluded from the domain.

Explanation:

The number that is not part of the domain of the function g(x) = \frac{x+2}{x-1} is x = 1. Knowing that the domain of a function includes all the values that x can take on for which the function is defined, we can identify values that are not in the domain by looking for any values that would cause the function to be undefined. In the case of g(x), since it involves a division by x-1, we need to make sure that the denominator does not equal zero since division by zero is undefined in mathematics.

To find out when the denominator is zero, we set x-1 = 0 and solve for x. The solution is x = 1, which means that x cannot be 1, since it would make the function undefined. Therefore, x = 1 is not part of the domain of g(x).

As described in FIGURE 4.4 from OpenStax under a CC BY 4.0 license, functions like y = \frac{1}{x} have asymptotes or limits that indicate values that are not part of the domain. g(x) has a similar characteristic, where x = 1 is an asymptote.

an exponential function has an

Answers

Answer:

Step-by-step explanation:

Exponential functions have the form

f(x) = bx, where b > 0 and b ≠ 1. Just as in any exponential expression, b is called the base and x is called the exponent.

Answer:

Exponential functions have the form

Step-by-step explanation:

Factor each polynomial expression and explain the factoring process used.

Answers

Answers:

b) [tex]x(25x-1)[/tex]

c) [tex]x^{2}-4(x-3)[/tex]

d)[tex]4x(x-5)+25[/tex]

e)[tex]2(3x^{2}+11x+14)[/tex]

Step-by-step explanation:

b) We have the following expression:

[tex]25x^{2}-x[/tex]

Applying common factor [tex]x[/tex]:

[tex]x(25x-1)[/tex]

c) We have the following expression:

[tex]x^{2}-4x+12[/tex]

Applying common factor [tex]4[/tex]:

[tex]x^{2}-4(x-3)[/tex]

d)We have the following expression:

[tex]4x^{2}-20x+25[/tex]

Applying common factor [tex]4x[/tex]:

[tex]4x(x-5)+25[/tex]

e)We have the following expression:

[tex]6x^{2}+22x+28[/tex]

Applying common factor [tex]2[/tex]:

[tex]2(3x^{2}+11x+14)[/tex]

10 out of every 65 students order pizza for lunch. There are 416 students at her school. How many students will eat pizza at her school?

Answers

Answer:

64

Step-by-step explanation:

First, you divide 416 by 65. This gets you 6.4. But it's not 1 in 65 eating pizza, it's 10 out of 65, so then you multiply 6.4 by 10, getting 64.

jordan can swim to laps in 4 1/2 minutes
select the correct unit rate for the given situation.

Answers

Answer:

Step-by-step explanation:

4 1/2 minutes = 4.5 minutes

2 / 4.5 = 0.44 laps per minute

OR

4.5 / 2 = 2.25 minutes per lap

not sure which one ur looking for...but both are unit rates

Final answer:

The unit rate of Jordan's swimming speed is approximately 0.44 laps per minute. This is calculated by dividing the number of laps (2) by the total time (4.5 minutes).

Explanation:

To identify the unit rate in this scenario, we first need to understand what we are finding. The unit rate means how much of something is done in one unit of time, in this case, how many laps Jordan can swim in one minute. Since Jordan can swim two laps in 4 1/2 minutes, we want to find out how many laps he can swim in one minute. We divide the total laps (2) by the total time (4.5). This will compute to approximately 0.44. Hence, Jordan can swim around 0.44 laps in one minute.

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This rectangle has a perimeter of 120
centimeters. If the width is 20 cm, what is
measure of the length?
20 cm
x cm

Answers

Final answer:

The length of the rectangle, given a perimeter of 120 cm and a width of 20 cm, is 40 cm.

Explanation:

This question pertains to the calculation of the dimensions of a rectangle given its perimeter and one side. In a rectangle, the perimeter is given by the formula 2(Length + Width). In this case, the perimeter is 120 cm, and the width is 20 cm. We can set up the following equation based on the given information: 120 = 2(Length + 20). After simplifying, we get 120 = 2*Length + 40, which leads to 2*Length = 120 - 40 or 2*Length = 80. Finally, solving for Length gives Length = 80 / 2 = 40 cm. Therefore, the length of the rectangle is 40 cm.

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Mariana solved a linear equation and found that it had an infinite number of solutions. Which could have been the final line of her work?

Answers

Final answer:

The final line of Mariana's work would show identical sides after simplification, resulting in an equation like 0 = 0 or x = x, indicating an infinite number of solutions.

Explanation:

If Mariana solved a linear equation and found that it had an infinite number of solutions, the final line of her work would show that both sides of the equation are identical after simplification. For instance, if the original equation was 2x + 3 = x + x + 3, upon simplifying both sides, she would end up with x + x = x + x, which is an identity (indicating that any value for x would satisfy the equation). Therefore, the final line could have been a simplified equation that resulted in a statement like 0 = 0 or x = x after all terms cancel out.

In ΔABC, m∠ACB = 90°, CD ⊥ AB and m∠ACD = 45°. Find: AC, if CD = 6√2 in.

Answers

Answer:

AC = 12 units.

Step-by-step explanation:

Δ ACD is right-angled. ( as CD ⊥ AB).

cos 45° = CD / AC = 6√2 / AC

AC = 6√2 / cos 45°

AC = 6√2 / 1 /√2

= 6√2 *√2

= 6 * 2

= 12   (answer)

HOPE THIS HELPED ;3

A football team loses a total of 12 yards in 4 plays. On average how many yards did the team move the ball per play?

Answers

The team moved the ball -3 yards per play.

Step-by-step explanation:

Given,

Total yards lost = 12 yards

Total plays = 4 plays

As the yards are lost, therefore, we will use negative sign.

Yards per play = [tex]\frac{Number\ of\ yards}{Number\ of\ plays}[/tex]

Yards per play = [tex]\frac{-12}{4}[/tex]

Yards per play = -3

The team moved the ball -3 yards per play.

Keywords: division, unit rate

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Chad earns $8.60 per hour. What is his gross pay for working 24 hours?

Answers

Answer:

$206.4

Step-by-step explanation:

8.6*24=206.4

What is the length of the side opposite 3 units
4 units
5 units
6 units

Answers

Answer:

It's 6 units

Step-by-step explanation:

i took the test

Whats the range of y=2x-7

Answers

Answer:

(-∞,∞) or {y|y∈R}

Step-by-step explanation:

Y= -5x that’s what I think

2 years is what percent of 11 years

Answers

Answer:

2 years are the 18.2% of 11 years.

Step-by-step explanation:

For calculating what percentage of 11 years is 2 years, we have to do the following calculations:

Fraction used to represent the question = 2/11

Now, we divide 2 by 11, where 2 is the dividend and 11 the divisor:

2/11 = 0.1818....

Converting 0.1818 to percentage:

0.1818 * 100 = 18.2% (Rounding to the nearest tenth)

2 years are the 18.2% of 11 years.

Other Questions
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