This question can be approached using the present value of annuity formula. The present value of annuity is given by
, where: PV is the present value/amount of the loan, P is the periodic (monthly in this case) payment, r is the APR, t is the number of payments in one year and n is the number of years.
Given that the<span> financing is for a new road bike of $2,500 and that the bike shop offers a 13.5% APR for a 24 month loan.
Thus, PV = $2,500; r = 13.5% = 0.135; t = 12 payments (since payment is made monthly); n = 2 years (i.e. 24 months)
Thus,
</span>
<span>
Therefore, his monthly payment is $119.44</span>
Answer:
For the Hernandez family, 3 pizzas were cut into 24 slices. So each pizza was cut into 24/3 = 8 slices. So if there should be an equation representing the relationship between the number of slices, y, and the number of pizzas, x, that would be y = 8x. So option #1 is incorrect.
As for the the Wilson family, if they ordered 3 large pizzas, they would cut them into y = 10(3) = 30 slices. So they would have more slices than the Hernandez family. So option #3 is correct. In addition, the equation tells us that they cut each pizza into 10 slices instead of 8 slices as the Hernandez family’s did. So the Hernandez family’s slices are larger than the Wilson family’s slices. Option #2 is incorrect. As for option #4, the constant of proportionality can be determined as 8 for the Hernandez family. So option#4 is incorrect either.
Answer: Option #3
Step-by-step explanation:
Answer:
x = 14
General Formulas and Concepts:
<u>Pre-Algebra</u>
Order of Operations: BPEMDAS
- Brackets
- Parenthesis
- Exponents
- Multiplication
- Division
- Addition
- Subtraction
Equality Properties
Step-by-step explanation:
<u>Step 1: Define</u>
g(x) = 2(x - 4)
g(x) = 20
<u>Step 2: Solve for </u><em><u>x</u></em>
- Substitute: 20 = 2(x - 4)
- Divide 2 on both sides: 10 = x - 4
- Add 4 to both sides: 14 = x
- Rewrite: x = 14