He deposits $4,500 in an account that pays 1.5% interest, compounded quarterly. What is his balance after 5 years?\

His balance is $4,849.65 after 5 years

Step-by-step explanation:

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

A = future value = ?

P = present value = $4,500

r = interest rate = 1.5% = 0.015

n = number of periods = 4

t = time = 5 years

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

= 4,500(1 + 0.015/4)^4*5

= 4,500(1 + 0.00375)^20

= 4,500(1.00375)^20

= 4,500(1.0777)

= 4,849.65

A = $4,849.65

His balance is $4,849.65 after 5 years

let x be the money she spent so that she can earn the free t-shirt.

since, she already spent $112.49

⇒

also, as per the statement: jennifer must spend $250 or more in order to qualify for a free t-shirt at the store.

then,

we have an inequality i.,e

subtract 112.49 from both sides we get;

therefore, $137. 51 more money does jennifer need to spend so that she can earn the free t-shirt