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

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

therefore

the answer part 1) is

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

therefore

the answer part 2) is

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

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

substitute in the formula above

therefore

the answer Part 3) is

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

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

substitute in the formula above

solve for P

therefore

the answer Part 4) is

step-by-step explanation:

in which figure is point g a centroid

the simplified form is

step-by-step explanation:

we want to simplify the expression,

let us change the middle bar to a normal division sign to obtain,

we multiply the first fraction by the reciprocal of the second fraction to obtain,

we factor to obtain,

we cancel the common factors to get,

we simplify to get,

the correct answer is b