Math

QuestionLisa starts with \550inhersavingsandadds$40weekly.Writetheequationfortotalsavings550 in her savings and adds \$40 weekly. Write the equation for total savings Safter after Wweeksandfind weeks and find S$ after 19 weeks. Total amount after 19 weeks: \$\square

Studdy Solution

STEP 1

Assumptions1. Lisa starts with 550inthesavingsaccount.Eachweek,Lisaadds550 in the savings account. Each week, Lisa adds 40 to the savings account3. Let $$ represent the total amount of money in the savings account (in dollars)
4. Let $W$ represent the number of weeks Lisa has been adding money

STEP 2

We can write an equation relating $$ to $W$ by adding the initial amount of money to the weekly contribution times the number of weeks.
=Initialamount+(WeeklycontributiontimesWeeks) = Initial\, amount + (Weekly\, contribution \\times Weeks)

STEP 3

Now, plug in the given values for the initial amount and weekly contribution to get the equation.
=$550+($40timesW) = \$550 + (\$40 \\times W)

STEP 4

Now that we have the equation, we can use it to find the total amount of money in the savings account after19 weeks. Plug in19 for WW in the equation.
=$550+($40times19) = \$550 + (\$40 \\times19)

STEP 5

Calculate the total amount of money in the savings account after19 weeks.
=$550+($40times19)=$550+$760=$1310 = \$550 + (\$40 \\times19) = \$550 + \$760 = \$1310The total amount of money in the savings account after19 weeks is $1310.

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