18. fernando diez works 40 hrs per week and makes $8.50 per hour,
a. how much money can he expect to earn in 1 year?
b. if he saves all the money he earns, how long will he have to work to save for a stereo receiver that costs $1275?

a). Money earned in a year=$17,727.60

He will have to work 150 hours or 3.75 weeks

Step-by-step explanation:

a). Money earned in a year

Assuming he works in a common year, where 1 year=365 days

1 week = 7 days

The number of weeks in a common year=365/7=52.14 weeks

Diez works 40 hrs a week

The number of hours he works in a year(52.14 weeks)= 52.14×40=2,085.6 hours

He is paid $8.50 per hour

The amount he earns in a year(2,085.6 hours)= 2085.6×8.5=17,727.60

b). How long he has to work to save $1275

Total earnings=Number of hours he works×Rate of earning per hour

where;

Total earnings=$1275

Number of hours he works=N

Rate of earning per hour=$8.50

1275=N×8.5

Solving for N

8.5N/8.5=1275/8.5

N=150 hours

1 week = 40 hrs

150/40=3.75 weeks

He will have to work 150 hours or 3.75 weeks

d.) yes, because the volume of the cone is greater than the volume of the sphere

step-by-step explanation: