The price of a printer was reduced from $400 to $300. What was the percent of decrease?
A)
75%
B)
25%
C)
33.3%
D)
30%
The percent of decrease can be calculated by taking the difference between the original price and the reduced price, dividing it by the original price, and then multiplying by 100.
($400 - $300) / $400 * 100 = 100 / $400 * 100 = 1/4 * 100 = 25%
Therefore, the percent of decrease is 25%.
B) 25%
Decide whether the equation is conditional, an identity, or a contradiction. Give the solution set.
3(4g + 10) - 12g - 30 = 0
Question 2 options:
A)
Conditional; {4}
B)
Identity; {all real numbers}
C)
Conditional; {0}
D)
Contradiction; ∅
To determine whether the equation is conditional, an identity, or a contradiction, we need to simplify it.
Distributing the 3 on the left side of the equation, we have:
12g + 30 - 12g - 30 = 0
Simplifying further, we can notice that the terms with g cancel out, and we are left with:
0 = 0
This equation simplifies to 0 = 0, which is true for all values of g.
Therefore, the equation is an identity, and the solution set is all real numbers.
B) Identity; {all real numbers}
Solve the problem. Assume that simple interest is being calculated in each case. Round your answer to the nearest cent.
John Lee's savings account has a balance of $85. After 27 months, what will the amount of interest be at 4.0% per year?
Question 3 options:
A)
$7.65
B)
$3.40
C)
$3.15
D)
$30.41
To calculate the amount of interest, we can use the formula:
Interest = Principal * Rate * Time
In this case, the principal is $85, the rate is 4.0% (or 0.04 as a decimal), and the time is 27 months (or 27/12 = 2.25 years).
Interest = $85 * 0.04 * 2.25
Interest = $7.65
Therefore, the amount of interest after 27 months at a rate of 4.0% per year is $7.65.
A) $7.65
Convert.
68 in. = underbar( ) ftunderbar( ) in.
Question 4 options:
A)
5 ft 6 in.
B)
5 ft 8 in.
C)
4 ft 20 in.
D)
8 ft 5 in.
To convert inches to feet and inches, we divide the number of inches by 12.
68 inches is equal to 68/12 = 5 with a remainder of 8.
So, 68 inches is equal to 5 feet 8 inches.
B) 5 ft 8 in.
Solve the problem.
Find the best buy and the unit price.
Brand X 10 oz for $1.30
Brand Y 15 oz for $2.25
Question 5 options:
A)
Brand Y, $0.13
B)
Equal value
C)
Brand X, $0.13
D)
Brand Y, $0.15
To find the best buy and the unit price, we need to compare the prices per ounce for each brand.
For Brand X:
Price per ounce = $1.30 / 10 oz = $0.13/oz
For Brand Y:
Price per ounce = $2.25 / 15 oz = $0.15/oz
Comparing the unit prices, we can see that Brand X has a lower price per ounce.
Therefore, the best buy is Brand X and the unit price is $0.13.
C) Brand X, $0.13
The principal P is borrowed at simple interest rate r for a period of time t. Find the simple interest owed for the use of the money. Assume 360 days in a year and round answer to the nearest cent.
P = $600
r = 4.25%
t = 3 months
Question 6 options:
A)
$6.38
B)
$76.50
C)
$606.38
D)
$6.95