Kendall had $1000 in a savings account at the beginning of the semester. She has a goal to have at least $350 in the account by the end of the semester, but she would draws $55 each week for food clothes and entertainment. For how many weeks can Kendall withdraw that Amount and keep to her goal

Question

Mathematics

Singleton

7 July, 18:26

Kendall had $1000 in a savings account at the beginning of the semester. She has a goal to have at least $350 in the account by the end of the semester, but she would draws $55 each week for food clothes and entertainment. For how many weeks can Kendall withdraw that Amount and keep to her goal

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Answers (1)

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Mckenzie Church · Answer 1

11 weeks

Step-by-step explanation:

First we need to check what variables we have.

Beginning Balance = $1000

Goal = $350

Withdrawal = $55 per week

Now let's declare a variable as the number of weeks.

Let x = number of weeks

1000 - 55x = 350

-55x = 350-1000

-55x = - 650

Then we divide both sides by - 55 to find the value of x.

x = 11.81 or 11 since we're looking for how many weeks in total

Now let's see if we still have 350 if we have a total of 11 as the value of x.

1000 - 55 (11) = 350

1000 - 605 = 350

395 = 350

We can see that Kendall will have $395 compared to the $350 goal.

So Kendall can withdraw $55 a week for 11 weeks to still be within her goal of having $350 in her savings account.