204k views
4 votes
Alfred is saving up money for a down payment on a townhouse. He currently has $5016$ 5016, but knows he can get a loan at a lower interest rate if he can put down $5994$ 5994. If he invests the $5016$ 5016 in an account that earns 4.4%4.4% annually, compounded monthly, how long will it take Alfred to accumulate the $5994$ 5994? Round your answer to two decimal places, if necessary.

1 Answer

2 votes

Answer:

It will take Alfred to accumulate the $5994 annually 4.1367 and monthly 4.0557

Step-by-step explanation:

In order to calculate how long will it take Alfred to accumulate the $5994 we would have to use the following formula:

A=P(1+r/n)∧n*t

P=$5,016

A=$5994

r=4.4%

n=1 annually

n=12 monthly

Therefore, t annually would be as follows:

5,994=$5,016(1+(4.4%/100)/1)∧1*t

t=4.1367

Therefore, t monthly would be as follows:

5,994=$5,016(1+(4.4%/100)/12)∧12*t

t=4.0557

It will take Alfred to accumulate the $5994 annually 4.1367 and monthly 4.0557

User Sandeep Rawat
by
8.7k points
Welcome to QAmmunity.org, where you can ask questions and receive answers from other members of our community.

9.4m questions

12.2m answers

Categories