Problem

10. What is the percent of decrease for the following situation?
Original: 32
New: 20
(F) $12 \%$
(G) $37.5 \%$
(H) $60 \%$
(I) $62.5 \%$
11. The value of a baseball card increased $5 \%$ from last year. If it was worth \$4 last year, what is it worth this year?
(A) $\$ 2.00$
(B) $\$ 4.20$
(C) $\$ 4.50$
(D) $\$ 6.00$
12. How much is a $15 \%$ tip on a $\$ 35$ meal?
(F) $\$ 4.20$
(G) $\$ 4.90$
(H) $\$ 5.00$
(I) $\$ 5.25$
13. A store marks up the wholesale price of a jacket by $130 \%$. What is the retail price if the wholesale price is $\$ 48$ ?
(A) $\$ 50.71$
(B) $\$ 62.40$
(C) $\$ 110.40$
(D) $\$ 178.00$
14. You buy a season pass for a theme park on sale for $30 \%$ off the original price of $\$ 78$. What is the sale price?
(F) $\$ 23.40$
(G) $\$ 48.00$
(H) $\$ 54.60$
(I) $\$ 75.00$
15. You deposit $\$ 300$ into an account that earns $4 \%$ simple annual interest. What is the balance of the account after 6 years?
(A) $\$ 312$
(B) $\$ 324$
(C) $\$ 372$
(D) $\$ 376.50$
16. You deposit $\$ 500$ into an account that earns $7 \%$ interest compounded annually. What is the balance after 3 years?
(F) $\$ 500.17$
(G) $\$ 521$
(H) $\$ 605$
(I) $\$ 612.52$

Answer

Expert–verified
Hide Steps
Answer

16. \boxed{(I) \ \$ 612.52}

Steps

Step 1 :10. Calculate the percent of decrease: \(\frac{32 - 20}{32} \times 100 = 37.5\%\)

Step 2 :11. Calculate the new value of the baseball card: \(4 \times 1.05 = 4.20\)

Step 3 :12. Calculate the 15% tip on a $35 meal: \(35 \times 0.15 = 5.25\)

Step 4 :13. Calculate the retail price of the jacket: \(48 \times 2.3 = 110.40\)

Step 5 :14. Calculate the sale price of the season pass: \(78 \times 0.7 = 54.60\)

Step 6 :15. Calculate the balance of the account after 6 years: \(300 \times 1.04^6 = 376.50\)

Step 7 :16. Calculate the balance of the account after 3 years: \(500 \times 1.07^3 = 612.52\)

Step 8 :\boxed{\text{Final Answer:}}

Step 9 :10. \boxed{(G) \ 37.5\%}

Step 10 :11. \boxed{(B) \ \$ 4.20}

Step 11 :12. \boxed{(I) \ \$ 5.25}

Step 12 :13. \boxed{(C) \ \$ 110.40}

Step 13 :14. \boxed{(H) \ \$ 54.60}

Step 14 :15. \boxed{(D) \ \$ 376.50}

Step 15 :16. \boxed{(I) \ \$ 612.52}

link_gpt