Studdy AI Logo
Math

Question8. SALARY Estimate the total cost to employ an engineer (55,000)andaprogrammer(55,000) and a programmer (52,000) for 5 years.
9. COSTUMES Each butterfly costume needs 3353 \frac{3}{5} yards of fabric. Find total yards for 10 costumes using the Distributive Property.
10. REASONING Letisha deposits: Checking \$125, Savings \$75, College \$50; Noelle: Checking \$250, Savings \$50, College \$50. Find Letisha's total after 12 months.

Studdy Solution

STEP 1

Assumptions1. The median salary for an engineer is 55,000peryear.Themediansalaryforacomputerprogrammeris55,000 per year. The median salary for a computer programmer is 52,000 per year3. The employment period is5 years4. The salaries do not change during the5 years5. The cost for a business to employ an engineer and a programmer is the sum of their salaries

STEP 2

Write an expression to estimate the total cost for a business to employ an engineer and a programmer for5 years.
Total cost=(Engineer salary+Programmer salary)timesYearsTotal\, cost = (Engineer\, salary + Programmer\, salary) \\times Years

STEP 3

Now, plug in the given values for the engineer salary, programmer salary, and years to calculate the total cost.
Total cost=($55,000+$52,000)times5Total\, cost = (\$55,000 + \$52,000) \\times5

STEP 4

Calculate the total cost for a business to employ an engineer and a programmer for years.
Total cost=($55,000+$52,000)times=$535,000Total\, cost = (\$55,000 + \$52,000) \\times = \$535,000The total cost for a business to employ an engineer and a programmer for years is $535,000.

STEP 5

Assumptions for the second problem1. Each butterfly costume requires 3353 \frac{3}{5} yards of fabric2. The number of costumes required is10

STEP 6

Write an expression to find the number of yards of fabric needed for10 costumes.
Total fabric=Number of costumestimesFabric per costumeTotal\, fabric = Number\, of\, costumes \\times Fabric\, per\, costume

STEP 7

Now, plug in the given values for the number of costumes and fabric per costume to calculate the total fabric.
Total fabric=10times335Total\, fabric =10 \\times3 \frac{3}{5}

STEP 8

Convert the mixed number to an improper fraction.
335=1853 \frac{3}{5} = \frac{18}{5}Total fabric=10times185Total\, fabric =10 \\times \frac{18}{5}

STEP 9

Calculate the total fabric needed for costumes.
Total fabric=times185=36 yardsTotal\, fabric = \\times \frac{18}{5} =36\, yardsThe total fabric needed for costumes is36 yards.

STEP 10

Assumptions for the third problem. Letisha deposits 125intohercheckingaccount,125 into her checking account, 75 into her savings account, and $50 into her college fund every month2. The time period is12 months

STEP 11

Write an expression to find the amount in Letisha's checking, savings, and college accounts after months.
Total amount=(Checking deposit+Savings deposit+College deposit)timesMonthsTotal\, amount = (Checking\, deposit + Savings\, deposit + College\, deposit) \\times Months

STEP 12

Now, plug in the given values for the checking deposit, savings deposit, college deposit, and months to calculate the total amount.
Total amount=($125+$75+$50)times12Total\, amount = (\$125 + \$75 + \$50) \\times12

STEP 13

Calculate the total amount in Letisha's checking, savings, and college accounts after12 months.
Total amount=($125+$75+$50)times12=$3,000Total\, amount = (\$125 + \$75 + \$50) \\times12 = \$3,000The total amount in Letisha's checking, savings, and college accounts after12 months is $3,000.

Was this helpful?

Studdy solves anything!

banner

Start learning now

Download Studdy AI Tutor now. Learn with ease and get all help you need to be successful at school.

ParentsInfluencer programContactPolicyTerms
TwitterInstagramFacebookTikTokDiscord