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題目

解題步驟

1. Understand the question

   Turn 1 Question

   1. interest problem destiny deposits $2,000 into a savings account at her bank. if the interest rate (apr) is 2.45%, how much money will she have in her account after 1 year?
   2. discount problem dick’s sporting goods is offering a 65% discount on tennis racquets. if the retail price of a racquet is $52.99, what price would you pay for a racquet after discount?
   3. budget problem gabriella has an apartment that costs 30% of her monthly budget, which is $3,575. what is the amount of money she has left over for other monthly expenses after she has paid the rent?
   4. discount problem after receiving a 20% discount off an item, you paid $320 for it at the register. what was the original retail price before the discount?

   Turn 2 Question

   thank you

2. Response

   Turn 1 Answer

   Question 7

3. Explanation

   Step1: Find the interest

   We use the simple interest formula concept (proportion here). Let \( x \) be the interest. The proportion is \( \frac{x}{2000}=\frac{2.45}{100} \). Cross - multiplying gives \( 100x = 2000\times2.45=4900 \). Then \( x=\frac{4900}{100} = 49 \).

   Step2: Find the total amount

   The total amount in the account is the principal plus the interest. The principal is \( \$2000 \) and the interest is \( \$49 \). So the total amount \( A=2000 + 49=2049 \).

4. Explanation

   Step1: Find the discount amount

   Let \( x \) be the discount amount. The proportion is \( \frac{x}{52.99}=\frac{65}{100} \). Cross - multiplying gives \( 100x=52.99\times65 = 3444.35 \). Then \( x=\frac{3444.35}{100}=34.4435\approx34.44 \).

   Step2: Find the price after discount

   The price after discount is the retail price minus the discount. So it is \( 52.99−34.4435 = 18.5465\approx18.55 \).

5. Explanation

   Step1: Find the rent amount

   Let \( x \) be the rent. The proportion is \( \frac{x}{3575}=\frac{30}{100} \). Cross - multiplying gives \( 100x = 3575\times30=107250 \). Then \( x=\frac{107250}{100}=1072.50 \).

   Step2: Find the amount left

   The amount left for other expenses is the monthly budget minus the rent. So it is \( 3575−1072.50 = 2502.50 \).

6. Final answer

   \(\$2049\)

   Question 8

答案

Question Analysis

OCR Text

thank you

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