IDNLearn.com is your go-to resource for finding precise and accurate answers. Ask your questions and receive reliable and comprehensive answers from our dedicated community of professionals.

kevin opened a savings account with texas national bank. his account has an apr of 1.75% compounded quarterly. if kevin opens his account with $2500, how long will it take for the account to earn $7500?

Sagot :

It will take 62.91 years for Kevin to make the amount  $2500 to  $7500 .

In the question ,

it is given that ,

the amount that Kevin deposited (P) in bank = $2500

the interest rate (r) = 1.75% ,

the compound interest is quarterly ,

So , n is = 4 .

let the time taken to earn $7500 be = x years ;

Substituting the values in the Amount formula for the Compound Interest ,

Amount = P(1 + r/n)ⁿˣ

7500 = 2500(1 + 0.0175/4[tex])^{4x}[/tex]

Simplifying further ,

we get ,

3 = (1.004375[tex])^{4x}[/tex]

After applying log both the sides ,

we get ,

log(3) = 4x*log(1.004375)

x = log(3)/(4*log(1.004375))

Simplifying further ,

we have ,

x = 62.91 years .

Therefore , the time taken is = 62.91 years

Learn more about Compound Interest here

https://brainly.com/question/29453448

#SPJ4