Carrie is looking for a job cutting hair. one option is self-employment at the belmont salon, where she would pay $438 per month to rent a station and keep all her earnings. another option is to work at a franchise, where she just have to pay $2 for every haircut. if she performed a certain number of haircuts every month, the amount paid to either salon would be the same. how much would carrie pay? how many haircuts would that be? ( can you also show the steps ? )

She would have to do 219 haircuts in a month for the costs to be the same, which would be $428.

Step-by-step explanation:

To find this we take the costs of the first place.

$438

Next we can look at the costs of the second place using x as the number of haircuts she'd do.

2x

Now we can set the two equal to each other to find the number of cuts.

438 = 2x

219 = x

the answer is 200

step-by-step explanation:

the way the question is worded, it seems to imply the $264 interest is simple interest, not compound interest.

the simple interest for 2 years is $264; the simple interest for 1 year is $132.

$132 interest on a $600 investment means an interest rate of (132/600)*100 = 22%.

the value of $200 at 22% interest compounded annually for three years is

200%281.22%29%5e3

the amount of interest is that value, minus the original $200.