Modern Electronics offers a one-year monthly installment plan for a big screen TV. The payment for the first month is
$62, and then it increases by 4% each month for the rest of the year. Which expression can be used to find the total
amount paid in the first 12 months

Respuesta :

So the initial amount is 62 .

Hence amount increases by 4%

Now time is 12months but he will pay 11 months more excluding 62$ of first month

So the expression is

  • y=62(1+0.04)¹¹
  • y=62(1.04)¹¹

Amount to be paid in last month

  • y=95.45$

Here it's a geometric sequence having r as 1.04

So

Sum

S_n

  • 62(1.04¹¹-1)/1.04-1
  • $836(approx)

The total amount paid in the first 12 months will be $836.

What is an expression?

Expression in maths is defined as the collection of the numbers variables and functions by using signs like addition, subtraction, multiplication, and division.

It is given that the initial amount is 62. Hence amount increases by 4%.

The time is 12 months but he will pay 11 months more excluding 62$ for the first month.

The expression is,

y=62(1+0.04)¹¹

y=62(1.04)¹¹

Amount to be paid in last month,

y=95.45$

Here it's a geometric sequence having r as 1.04. The sum will be calculated as below:-

Sum = 62(1.04¹¹-1)/1.04-1

Sum = $836

Therefore, the total amount paid in the first 12 months will be $836.

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