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) $\$ 612.52$

Solution

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}

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Source: https://solvelyapp.com/problems/30539/

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