Maxim has been offered positions by two car dealers. The first company pays a salary of $10,000 plus a commission of $1,000 for each car sold. The second pays a salary of $20,000 plus a commission of $500 for each car sold. How many cars would need to be sold to make the total pay the same?

20 cars

Step-by-step explanation:

Solve for x!

10000+1000x(the first company)=20000+500x (the second company)

-10000              -10000

1000x=10000+500x

-500x              -500x

500x=10000

divide by 500 on both sides,

x=20

Check!

First company: 10000+1000(20)=10000+20000=30000

Second company: 20000+500(20)=20000+10000=30000!

30000=30000

Hope this helped!

ad = ae + ed = y + 7

similar triangles therefor

ac/ab = ad/ae

6/4 = (y + 7) / y

cross multiply

6y = 4(y + 7)

6y = 4y + 28

2y = 28

y = 14

step-by-step explanation:

the answer is:

the correct option:

b.

to solve the problem, we need to remember how to operate to simplify exponential expressions using the logarithms.

we are given the equation:

then, using placing logarith with base 7 on both sides of the equation, we have:

so, rounding the obtained result to two decimal places (nearest hundreth), we have:

hence, we have that the correct option:

b.

have a nice day!