question archive 1) You open a checking account

1) You open a checking account

Subject:MathPrice:2.87 Bought7

1) You open a checking account. You are paid 3% interest on the average daily balance, but are charged a $4 monthly charge. Assuming that interest is paid monthly (regardless of the number of days in the month), calculate the average balance you must maintain to offset the $4 monthly charge.

2) You borrow $350 from your aunt and agree to repay her $400 ($350 principal + $50 interest) in 18 months. What interest rate (usi ng simple interest, and to the nearest tenth) are you paying? 
 

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Answer:

1)

P= 1/RT = $4/ 3% * 1/12 = $4/.03 * 1/ 12 = $4/.0025

You must maintain an average balance of $1,600.

2)

The interest rate is 0.79% per month.

Step-by-step explanation:

Present value of borrowed amount = $350

Future value of borrowed amount = $400

Interest amount = $50

Time duration = 18 months or 1.5 years

Now we have to find the rate of interest by using the above information.

Here below is the calculation of interest rate.

Interest rate =  P×R×T 50 = 350 × R×18

R = 0.007936 Or,

R = 0.79% per month.