1: A woman buys a car making a $3,000 down payment and then agrees to make 48 monthly payments of $360. What is the total cost of the car?

2: Last week a man worked 12 hours a day for 5 days. This week he worked 57 hours. How many hours did he work in all?

please show how you got your answer !!

1. $20280

2. 117 h

Step-by-step explanation:

1.

to know the value of the car we have to add all the monthly payments with the $ 3000 that she paid at the beginning

x =  car value

x = $3000 + 48 * $360

x = $3000 + $17280

x = $20280

The total cost of the car is $20280

2.

To know how many hours I work in total we have to add the hours I work in each day 5 times with the 57 hours I work the following week

x =  hours that work in all

x = 5 * 12 + 57

x = 60 + 57

x = 117

work for 117 hours in all

Step-by-step explanation:

1) the down payment made for the car is $3000.

She then agrees to make 48 monthly payments of $360. It means that the total monthly payments in 48 months is

48 × 360 = $17280

The total amount that she paid for the car is

17280 + 3000 = $20280

2) Last week a man worked 12 hours a day for 5 days. It means that the total number of hours he worked last week is

12 × 5 = 60 hours

This week, he worked 57 hours. It means that the total number of hours he worked is

60 + 57 = 117 hours

20

step-by-step explanation:

x =-.20752

step-by-step explanation:

4^(x+2)=12

4^(x+2)=12

take the log base 4 on each side

log 4 (4^(x+2) = log 4(12)

we know log b(a^y) = y log b (a)

(x+2) log 4(4) = log 4 (12)

x+2 = log 4 (12)

we know   logb c = loga c/loga b

we want to convert to base 10   so a = 10

by default, we do not write the 10   c = 4   and b = 10

log4 10 = log 12/log 4

log4 10 = log 12/ log 4

x+2 = log 12/ log 4

subtract 2 from each side

x +2 -2 = log 12/ log 4 -2

x = 1.79248125 -2

x =-.20752