A family charges a trip to the zoo on a credit card. The simple interest rate is 12%. The charges are paid after 3 months. What is the total amount paid for the trip? Round your answer to the nearest hundredth.
Tickets 67.70
Food 62.34
Gas 45.50

Respuesta :

The formula for simple interest is: [tex]A = P(1 + rt)[/tex]
[tex]R=12[/tex]
We are going to convert the percent (12) into a decimal.
[tex]r = R/100 = 12/100 = 0.12[/tex]
Then, we are going to put the months into years.
[tex]3 / 12 = 0.25[/tex]
Let's plug in the values:
[tex]A = 175.54(1 + (0.12 * 0.25)) = 180.8062 [/tex]
[tex]A = 180.81[/tex]
The total amount paid for the trip is $180.81

Have a nice day! :)

The total amount paid for the trip is 180.80.

What is interest?

Interest can be defined as the amount of money a lender receives for lending out money.

Given that rate of interest is 12% and charges are paid after 3 months.

So the time period is converted into years as below.

T = [tex]3\times 4[/tex]

T = 12 months = 1 year.

The rate of interest for a year is,

R = 12/ 4

R = 3 %

The principal amount is the sum of tickets, food, and gas.

P = 67.70 + 62.34+ 45.50

P = 175.54

The amount is calculated as given below.

[tex]A = P(1 + R)^T[/tex]

[tex]A=175.54(1+0.03)^1[/tex]

A = 180.80

Hence we can conclude that the total amount paid for the trip is 180.80.

To know more about interest, follow the link given below.

https://brainly.com/question/25857212.