Algebra Class 10: Revenue and Profit Calculations

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Questions and Answers

How much would you save if you bought a $4 item at a 20% discount?

$0.80 (correct)

$1.00

$0.60

$1.20

What is the percentage increase when the average used car price rises from $20,000 to $30,000?

30%

40%

75%

50% (correct)

At 4% simple interest, how many years will it take for an investment to double in value?

8 years

10 years (correct)

12 years

5 years

If you invest $100 at an annual interest rate of 12% compounded monthly, how much interest will you earn in 3 months?

$3.00 Signup and view all the answers

If an item price increased from $50 to $60, what is the percentage increase?

25% Signup and view all the answers

What is the total value of $3 after doubling at 4% simple interest for 10 years?

$6.00 Signup and view all the answers

How much would you earn in interest if you deposit $200 at an annual interest rate of 6% for 6 months?

$3.00 Signup and view all the answers

If you want to find out how long it takes for money to double at 5% interest, what calculation must you perform?

Divide 100 by 5 Signup and view all the answers

What is the revenue when $x = 5$ in the equation $y = 5x - 3$?

$22 Signup and view all the answers

Using the given data set, what is the estimated profit when 30 units are produced?

$7000 Signup and view all the answers

In the revenue model $(x-y)(4-3)$, if $x$ represents the amount sold after a price increase, what does $(x-y)$ represent?

Change in quantity sold Signup and view all the answers

In the expression $r(v + 1) + (r - 5)v$, which part determines the cost of all the vanilla cupcakes?

$(r-5)v$ Signup and view all the answers

If Marshalls is having a 10% sale on your cart of $46, how much will be the final price after the discount?

$41.40 Signup and view all the answers

The revenue model due to a price increase of $1 per item can be expressed as $(x-y)(1)$. What impact does changing $4$ to $3$ in the model have?

Decreases profit by $1 per sale Signup and view all the answers

What represents the original price before the increase in the price of a chicken bake to $4?

$3 Signup and view all the answers

What does the variable 'v' in the cupcake cost expression stand for?

Number of vanilla cupcakes Signup and view all the answers

Study Notes

Problem 1

Calculate revenue when x = 5.
Formula: y = 5x - 3
Substitution: y = 5(5) - 3
Answer: 22

Problem 2

Estimate profit for 30 units produced.
Data points: (40, $9000), (10, $1250), (20, $5500)
Estimated profit at 30 units: ~ $7000

Problem 3

Costco price increase for chicken bake.
New price: $4
Revenue model: (x - y) * (4 - 3)
Find (x - y)

Problem 4

Cupcake preference survey.
Red velvet is preferred.
Cost expression for all vanilla cupcakes: (r - 5)v

Problem 5

Marshall's sale calculation.
10% discount under $50, 20% discount $50+
Cart total: $46
Add-on item: $4
Calculate savings with item addition.
Calculation (not included in summary), to find the saved amount.

Problem 6

Used car price increase.
Original price: $20,000
New price: $30,000
Percentage increase: 50%
Calculation: (New Price - Original Price) / Original Price * 100%

Problem 7

Simple interest calculation.
Interest rate: 4%
Money doubles calculation.
Years to double: 25 years

Problem 8

Bank annual interest calculation.
Interest rate: 12% annual / paid monthly
Amount: $100
3-month interest calculation.

Problem 9

Vehicle loan interest calculation.
Amount financed: $5000
Interest rate: 24% APR
Loan timeframe: 5 years
Interest for the first payment: $100

Problem 10

Late loan payment calculation.
APR: 36%
Calculation monthly.
Owed amount: $2000
Monthly charge: $60

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Description

Test your skills in calculating revenue, estimating profit, and understanding price changes with this quiz tailored for Algebra Class 10. You'll tackle real-world scenarios like discount calculations and survey results. Get ready to apply algebraic expressions and formulas in practical situations!