Question
gabe deposits $7,000 in a certificate of deposit. the annual interest rate is 4%, and the interest will be compounded
quarterly. how much will the certificate be worth in 5 years? round your answer to two decimal places.

$8541.33

Step-by-step explanation:

use the equation

MV = matured value

P = principal

r = yearly interest rate

n = number of periods the interest is compounded per year

t = terms in years

P = $7000

r = 0.04 ( 4% )

n = 4

t = 5

so it should be

$8,546.98 since you are rounding

Step-by-step explanation:

Identify the values of each variable in the formulas. Remember to express the percent as a decimal.

  A=?

 P= $7,000

r=0.04

t=5

For monthly compounding, n=12. There are 12 months in a year.

A=P(1+rn)nt

Substitute the values in the formula.

A=7,000(1+0.0412)12⋅5

Compute the amount. Be careful to consider the order of operations as you enter the expression into your calculator.

A=$8,546.98

answer:   28.56 feet (approx)

step-by-step explanation:

since, triangle abc has measure of angle c equal to 55 degrees, measure of angle abc equal to 90 degrees, and length of bc equal to 20 feet.

we have to find out the measurement of segment ab.

therefore, tan 55° =

but bc = 20 feet.

⇒ tan 55 ° =  

⇒ ab = 20 × tan 55 °

⇒ ab = 20 × 1.42814800674

⇒ ab = 28.5629601348   ≈ 28.56 feet