3. Carrie and Juanita are saving up to start a slime business. They need at least $125 to cover their start up costs. To earn that money, Carrie decides to do sell cupcakes. She sells cupcakes for $0.50 each. Juanita decides that she would like to sell homemade cards. She will be selling the cards for $2.25 each. Juanita plans to make at least 35 cards. To make up the difference, Carrie plans to sell no less than 3 times the number of cards Juanita makes. Write a set of constraints to model the problem, with x representing the number of cards created and y representing the number of cupcakes.

Constraints:

Step-by-step explanation:

Let x represents the number of cards and y represents the number of cupcakes.

Carrie decides to sell cupcakes for $0.50 each.

Total amount earned from selling cupcakes

Juanita decides to sell homemade cards for $2.25 each.

Total amount earned from selling cards

As Carrie and Juanita need at least $125 to cover their start up costs,

Juanita plans to make at least 35 cards.

Carrie plans to sell cupcakes no less than 3 times the number of cards Juanita makes.

Constraints:

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.