MATHEMATICS MIDDLE SCHOOL

4. James and Terry open a savings account that has a 2.75% annual interest rate, compounded monthly. Theydeposit $500 into the account each month. How much will be in the account after 20 years?
a. S159,744.59
b. S48,407.45
c. $580,894.18
d. $330,600.15

Answers

Answer 1
Answer:

$ 159,744.59 will be in the account after 20 years.

Answer: Option A

Step-by-step explanation:

Need to find out the amount present in the account after 20 years. The formula to find out the future value is,

          \text {Future value}=p *\left((\left(1+(r)/(n)\right)^(n t)-1)/((r)/(n))\right)

Here  

p : amount deposit monthly =$500

r : rate of interest  = (2.75)/(100) = 0.0275

n : 12(compound monthly)

t : time =20

By substituting all the given datas in the above equation, we get

    \text { Future value }=500 *\left((\left(1+(0.0275)/(12)\right)^(240)-1)/((0.0275)/(12))\right)

    \text {Future value}=500 *\left(((1+0.002291)^(240)-1)/(0.002291)\right)=500 *\left(((1.732)-1)/(0.002291)\right)

   \text { Future value }=500 *\left((0.732)/(0.002291)\right)=500 * 319.511=\$ 159,744.99

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Round 2.36 to the nearest tenth ​

Answers

Answer: 2.4

Step-by-step explanation:

2.36 Round off to the nearest tenth is 2.4

Answer:

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Step-by-step explanation:

A triangle has a area of 36 square feet. if the height is 6 feet more than it's base, what are its height and base

Answers

The base and height of the triangle are 6 and 12 feet respectively.

What is the perimeter of a triangle ?

The perimeter of a triangle is sum of the lengths of it's sides.

According o the given question A triangle has area of 36 square feet.

Also given that the height is 6 feet more than it's base.

Assuming base of the triangle to be b.

∴ Height of the triangle (h) = (b+6).

We know area of a triangle is (1/2)×base×height.

∴ (1/2)×b×(b+6) = 36.

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 b - 6 = 0 OR b + 12 = 0.

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learn more about triangles here :

brainly.com/question/16886469

#SPJ2
base: 6 
height 12 
because 6+12 is 18 and 18 times 2 is 36

Travis is building a rectangular sandbox for his younger brother. The length of the sandbox is 1 foot longer than twice the width of the sandbox. The perimeter of the sandbox is 29 feet.

Answers

let's say the width is x
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Answers

Answer:

The answer is 28200.27

Step-by-step explanation:

19836.27+8364

=19836.27+8364

=28200.27

Answer:

The anser is

28,200.27

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Answers

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