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

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