1) Kim was hired to paint a house. it took 35 hours to paint and she was paid $840. at this rate, how much would she be paid for a job requi

Question

1) Kim was hired to paint a house. it took 35 hours to paint and she was paid $840. at this rate, how much would she be paid for a job required 90 hours of work? round answer to nearest hundredth

2) if 4 pounds of meat serves 9 people, how many pounds will be needed to serve 30 people? round answer to nearest hundredth

3) how much interest will you earn if you invest $1225 at a rate of 6% a year for 33 months?

4) how much money did jonah invest if he received $315 in interest after 51 months? the interest rate was 7% a year. round answer to nearest hundredth

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Valentina 4 months 2022-01-23T23:29:16+00:00 1 Answer 0

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    2022-01-23T23:30:56+00:00

    Part 1) Kim was hired to paint a house. it took 35 hours to paint and she was paid $840. at this rate, how much would she be paid for a job required 90 hours of work? round answer to nearest hundredth

    we know that

    by proportion

    \frac{840}{35} \frac{\$}{hours} =\frac{x}{90} \frac{\$}{hours}\\ \\35*x=840*90\\ \\x=(840*90)/35\\ \\x=\$2,160

    therefore

    the answer part 1) is

    \$2,160

    Part 2) if 4 pounds of meat serves 9 people, how many pounds will be needed to serve 30 people? round answer to nearest hundredth

    we know that

    by proportion

    \frac{4}{9} \frac{pounds}{people} =\frac{x}{30} \frac{pounds}{people} \\ \\9*x=4*30\\ \\x=(4*30)/9\\ \\x=13.33\ pounds

    therefore

    the answer part 2) is

    13.33\ pounds

    Part 3) how much interest will you earn if you invest $1225 at a rate of 6% a year for 33 months?

    we know that

    The simple interest formula is equal to

    I=P(rt)

    where

    I is the Final Interest amount

    P is the Principal amount of money to be invested

    r is the rate of interest  

    t is Number of Time Periods  in years

    in this problem we have

    t=33/12\ years\\ P=\$1,225\\r=0.06

    substitute in the formula above

    I=\$1,225*(0.06*33/12)=\$202.13

    therefore

    the answer Part 3) is

    \$202.13

    Part 4) how much money did jonah invest if he received $315 in interest after 51 months? the interest rate was 7% a year. round answer to nearest hundredth

    we know that

    The simple interest formula is equal to

    I=P(rt)

    where

    I is the Final Interest amount

    P is the Principal amount of money to be invested

    r is the rate of interest  

    t is Number of Time Periods  in years

    in this problem we have

    t=51/12\ years\\ I=\$315\\r=0.07

    substitute in the formula above

    I=P(rt)

    solve for P

    P=I/(rt)

    P=\$315/(0.07*51/12)=\$1,058.82

    therefore

    the answer Part 4) is

    \$1,058.82

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