Kiera wants to increase her savings account to a balance of 1350 her current balance is 174 and she adds $84 a month to her savings how many months will it take for her to reach her goal of 1350

Respuesta :

Answer:

It will take her 14 months

Step-by-step explanation:

In this question, we are asked to calculate the number of months it will take kiera to increase her savings from 174 to 1350 if she adds a token of $84 to her savings each months.

Since we do not know the number of months, let’s represent this by m.

We model a linear equation to get m as follows;

Mathematically;

174 + 84(m) = 1350

Now we proceed to get m;

84m = 1350 - 174

84m = 1176

Thus, m = 1176/84 = 14 months

Answer: 14 months

Step-by-step explanation:

Current balance = $174

Amount added every month= $84

Proposed final balance= $1350

From the equation, the first term is 174 and common difference is 84.

The equation we will use is:

174 + 84x = 1350.

Collect like terms

84x = 1350 - 174

84x = 1176

Divide both side by the coefficient of which is 84

84x/84= 1176/84

X= 14

It will take 14 months for the money saved by Kiera to reach $1350.