On May 1, Cleveland Livingston opened a savings account that paid

3.5 percent exact interest at Fulton Savings Bank with a deposit of

$5,000. Ten days later he deposited $2,000. Fourteen days later he

deposited $8,000. No other deposits or withdrawals were made. Six

days later the bank calculated the daily interest.

(a) How much simple interest did his money earn?

(b) How much was in the account at the end of the 30 days?

Respuesta :

Answer:

Step-by-step explanation:

rate  = 3.5% per month

A) Six  days later the bank calculated the daily interest.

so, time = 6 days

= 6 / 30 = 1/5 month

simple interest  [tex]=\frac{P*r*t}{100}[/tex]

[tex]=\frac{5000*3.5*1/5}{100} \\\\=35[/tex]

=35%

B) For $5000, t = 1 month

For $2000, t = 20 / 30 = 2/3 month

For $8000, t = 16/30 months

Simple interest for $5000

[tex]=\frac{500083.5*1}{100} \\\\= 175[/tex]

$175

Simple interest for $2000

[tex]=\frac{2000*3.5*2/3}{100} \\\\=\ 46.67[/tex]

=$46.67

Simple interest for $8000

[tex]=\frac{8000*3.5*16/30}{100} \\\\=149.33[/tex]

=$149.33

Total amount in account at the end of 30 days is

= $5000 + $175 + $2000 + $46.67 + $8000 + $149.33

= $15371