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\(\$2049\) ### Question 8

Category: algebra Updated: 2026-02-06

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?
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Solution Steps

  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

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  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

Answer

Response

Turn 1 Answer
Question 7

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 \( A=2000 + 49=2049 \).

Answer

\(\$2049\)

Question 8

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 \( 52.99−34.4435 = 18.5465\approx18.55 \).

Answer

\(\$18.55\)

Question 9

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 \( 3575−1072.50 = 2502.50 \).

Answer

\(\$2502.50\)

Question 10

Explanation

Step1: Understand the relationship

If there is a 20% discount, then the price paid is \( (1 - 0.20)=0.80 \) of the original price. Let \( x \) be the original price. We know that \( 0.80x = 320 \).

Step2: Solve for the original price

To find \( x \), we divide both sides of the equation \( 0.80x = 320 \) by \( 0.80 \). So \( x=\frac{320}{0.80}=400 \).

Answer

\(\$400\)

Turn 2 Answer

No problem at all! 😊 If you ever want to chat about something totally unrelated to math (or even more math, no judgment), just holler.

Question Analysis

Subject business
Sub Subject finance
Education Level high school
Difficulty unspecified
Question Type calculation
Multi Question Yes
Question Count 2
Analysis Status completed
Analyzed At 2026-02-06T04:56:03

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