A baseball card decreased in value 60% in its first year and 10% in its second year.

A baseball card decreased in value 60% in its first year and 10% in its second year. What was the total percent decrease of the card's value over the two years?

Answer/Solution

64%

Steps/Work

Let the initial value of baseball card = 100
After first year , value of baseball card = (1- 60/100)* 100 = 40
After second year , value of baseball card =(1 - 10/100)* 40 = 36
total percent decrease of the card's value over the two years = (100-36)/100 *100%
=64%
Answer E

Gain Calculator / Auto Solver

A baseball card decreased in value % in its first year and % in its second year. What was the total percent decrease of the card's value over the two years?

Calculated Answer

Step by Step Solution

In order to solve problem, you must evaluate 100 - (1 - n₁ / 100) * (1 - n₀ / 100) * 100.

n₀ =	60
n₁ =	10

100 - (1 - n₁ / 100) * (1 - n₀ / 100) * 100
Evaluate n₁ / 100 = 0.1
100 - (1 - 0.1) * (1 - n₀ / 100) * 100
Evaluate 1 - 0.1 = 0.9
100 - 0.9 * (1 - n₀ / 100) * 100
Evaluate n₀ / 100 = 0.6
100 - 0.9 * (1 - 0.6) * 100
Evaluate 1 - 0.6 = 0.4
100 - 0.9 * 0.4 * 100
Evaluate 0.9 * 0.4 = 0.36
100 - 0.36 * 100
Evaluate 0.36 * 100 = 36
100 - 36
Evaluate 100 - 36 = 64
64
The answer to the problem and the result of 100 - (1 - n₁ / 100) * (1 - n₀ / 100) * 100 is 64

Quiz

Answer/Solution

Steps/Work

Gain Calculator / Auto Solver

Calculated Answer

Step by Step Solution