Tamira invests $5,000 in an account that pays 4% annual interest. How much will there be in the account after 3 years if the interest is compounded annually, semi-annually, quarterly, or monthly?

Step-by-step explanation:

We would apply the formula for determining compound interest which is expressed as

A = P(1 + r/n)^nt

Where

A = total amount in the account at the end of t years

r represents the interest rate.

n represents the periodic interval at which it was compounded.

P represents the principal or initial amount deposited

From the information given,

P = 5000

r = 4% = 4/100 = 0.04

t = 3 years

1) compounded annually

n = 1 because it was compounded once in a year.

Therefore,

A = 5000(1 + 0.04/1)^1 × 3

A = 5000(1.04)^3

A = $5624.32

2) compounded semi annually

n = 2 because it was compounded twice in a year.

Therefore,

A = 5000(1 + 0.04/2)^2 × 3

A = 5000(1.02)^6

A = $5630.81

3) compounded quarterly

n = 4 because it was compounded 3 times in a year and n = 12/3 = 4.

Therefore,

A = 5000(1 + 0.04/4)^4 × 3

A = 5000(1.01)^12

A = $5634.13

4) compounded monthly

n = 12 because it was compounded 12 times in a year.

Therefore,

A = 5000(1 + 0.04/12)^12 × 3

A = 5000(1.0033)^36

A = $5629.62

answer:  

step-by-step explanation:

here x represents the height of the pole,

and, the height of the shadow of the pole is 12 feet.

also, the angle of elevation from the top of the pole is 40°,

therefore,

by the low of sine,

which is the required equation for finding the value of x,