5 in. to cm
Answers:
Question 26 options:
A)
1.97 cm
B)
12.70 cm
C)
0.51 cm
D)
0.08 cm
B) 12.70 cm
To solve the problem, we can rearrange the equation C = 20d + 25 to solve for d:
Subtract 25 from both sides to isolate 20d:
C - 25 = 20d
Now we can substitute C = 205 into the equation:
205 - 25 = 20d
Simplify:
180 = 20d
Divide both sides by 20 to solve for d:
d = 9
Therefore, the truck can be rented for 9 days. The correct answer is C) 9 days.
To solve the problem, we can set up a proportion:
x/100 = 75.9/115
To solve for x, we can cross-multiply:
115x = 75.9 * 100
115x = 7590
Divide both sides by 115:
x = 7590/115
x ≈ 66.086
Therefore, 75.9 is approximately 66.086% of 115. The correct answer is B) 66%.
To calculate the total amount Allan repaid, we need to find the interest accrued over 6 months and add it to the principal amount.
Interest = Principal * Rate * Time
Principal = $3800
Rate = 7% per year
Time = 6 months = 0.5 years
Interest = $3800 * 0.07 * 0.5 = $133
Total amount repaid = Principal + Interest = $3800 + $133 = $3933
Therefore, Allan repaid a total of $3933. The correct answer is D) $3933.00.
To calculate the simple interest owed, we can use the formula:
Interest = Principal * Rate * Time
First, we need to convert the rate and time to match the given period of 360 days in a year.
Principal (P) = $800.00
Rate (r) = 8% = 0.08 (decimal form)
Time (t) = 4 months = 4/12 = 1/3 (in years)
Interest = $800.00 * 0.08 * 1/3 = $21.33333...
Rounding to the nearest cent, the simple interest owed is approximately $21.33.
Therefore, the correct answer is A) $21.33.
To find out how many words Mara would type in 45 minutes, we can use the given information that she types 26 words per minute.
Words typed = Words per minute * Minutes
Words typed = 26 words/minute * 45 minutes
Words typed = 1170 words
Therefore, Mara would type 1170 words in 45 minutes.
The correct answer is A) 1170 words.
To find the time it takes for the two cars to be 360 miles apart, we can add the distances traveled by each car.
Let t represent the time in hours.
Distance traveled by the first car = speed * time = 42t
Distance traveled by the second car = speed * time = 48t
The sum of the distances traveled by both cars is equal to 360 miles:
42t + 48t = 360
Combining like terms:
90t = 360
Dividing both sides by 90:
t = 4
Therefore, the two cars will be 360 miles apart in 4 hours.
The correct answer is A) 4 hours.
To calculate the sale price of the jeans, we can subtract the discount amount from the original price:
Discount amount = Original price * Discount rate
Given:
Original price = $56
Discount rate = 20% = 0.20 (decimal form)
Discount amount = $56 * 0.20 = $11.20
Sale price = Original price - Discount amount = $56 - $11.20 = $44.80
Therefore, the sale price of the jeans is $44.80.
The correct answer is B) $44.80.
To determine if the equation is conditional, an identity, or a contradiction, we need to simplify the equation and see if a solution can be found that satisfies the equation.
Starting with the given equation:
-8s - 70 + 4(2s + 18) = 0
Let's simplify each term:
-8s - 70 + 8s + 72 = 0
Combining like terms:
-8s + 8s - 70 + 72 = 0
2 = 0
Since 2 does not equal 0, we have reached a contradiction.
Therefore, the equation is a contradiction because there is no solution that satisfies it.
The correct answer is D) Contradiction; ∅.
To solve the equation, we can simplify and solve for x:
-[9x + (3x + 5)] = 5 - (3x + 2)
First, simplify the expression inside the parentheses:
-[9x + 3x + 5] = 5 - 3x - 2
Combine like terms:
-12x - 5 = 3 - 3x
Now, let's isolate the x term on one side of the equation:
-12x + 3x = 3 - 5
Simplify:
-9x = -2
Divide both sides by -9:
x = -2/(-9)
Simplifying the fraction:
x = 2/9
Therefore, the solution to the equation is x = 2/9.
To solve the equation, let's simplify and solve for x:
7 - (x - 9) = -5x + 4(x + 9)
First, simplify the expression inside the parentheses:
7 - x + 9 = -5x + 4x + 36
Combine like terms on each side of the equation:
16 - x = -x + 36
Now, let's isolate the x term on one side of the equation:
-x + x = 36 - 16
Simplify:
0 = 20
Since 0 does not equal 20, we have reached a contradiction.
Therefore, the equation has no solution.
The correct answer is B) ∅ (empty solution set).
To find the amount of money in the account after 4 years and the interest earned, we can use the formula for compound interest:
A = P(1 + (r/n))^(nt)
Where:
A is the final amount (including the principal and interest)
P is the principal (initial amount)
r is the annual interest rate (as a decimal)
n is the number of times interest is compounded per year
t is the number of years
Given:
Principal (P) = $8500
Rate (r) = 4% = 0.04 (decimal form)
Compounded quarterly (n = 4)
Time (t) = 4 years
Let's calculate the amount in the account:
A = $8500(1 + (0.04/4))^(4*4)
= $8500(1 + 0.01)^16
= $8500 * 1.01^16
≈ $8500 * 1.16985856022
≈ $9966.91 (rounded to the nearest cent)
Now, to find the interest earned, we subtract the principal from the final amount:
Interest earned = A - P
= $9966.91 - $8500
≈ $1466.91 (rounded to the nearest cent)
Therefore, the amount in the account after 4 years is approximately $9966.91, and the interest earned is approximately $1466.91.
The correct answer is D) amount in account: $9966.92; interest earned: $1466.92 (rounded to the nearest cent).
To calculate the percent increase, we can use the formula:
Percent increase = (New Value - Original Value) / Original Value * 100%
Given:
Original Value = 52 people
New Value = 69 people
Percent increase = (69 - 52) / 52 * 100%
Percent increase = 17 / 52 * 100%
Calculating the percentage:
Percent increase ≈ 32.6923076923%
Rounding to the nearest tenth:
Percent increase ≈ 32.7%
Therefore, the percent increase in enrollment is approximately 32.7%.
The correct answer is C) 32.7%.
Solve the problem.
The formula C = 20d + 25 describes the total cost of renting a truck, where C is the total cost and d is the number of days the truck is rented. How many days can the truck be rented for $205?
Question 27 options:
A)
19 days
B)
10 days
C)
9 days
D)
7 days
Solve the problem.
What percent of 115 is 75.9?
Question 28 options:
A)
0.66%
B)
66%
C)
6.6%
D)
660%
Solve the problem. Assume that simple interest is being calculated in each case. Round your answer to the nearest cent.
Allan borrowed $3800 from his father to buy a car. He repaid him after 6 months with interest of 7% per year. Find the total amount he repaid.
Question 29 options:
A)
$133.00
B)
$3910.83
C)
$4066.00
D)
$3933.00
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 = $800.00
r = 8%
t = 4 months
Question 30 options:
A)
$21.33
B)
$1056.00
C)
$256.00
D)
$821.33
Solve the problem. Round your answer to the nearest cent.
Sumi Kato's savings account has a balance of $4921. After 25 years what will the amount of interest be at 2.5% compounded annually?
Question 31 options:
A)
$4208.26
B)
$4191.26
C)
$12,302.50
D)
$4202.26
To calculate the amount of interest accumulated, we can use the formula for compound interest:
A = P(1 + r/n)^(nt) - P
Where:
A is the final amount (including the principal and interest)
P is the principal (initial balance)
r is the annual interest rate (as a decimal)
n is the number of times interest is compounded per year
t is the number of years
Given:
P = $4921
r = 2.5% = 0.025 (decimal form)
n = 1 (compounded annually)
t = 25 years
A = $4921(1 + 0.025/1)^(1*25) - $4921
Calculating the expression inside the parentheses:
(1 + 0.025)^(25) ≈ 2.1237
A = $4921(2.1237) - $4921
A ≈ $10451.26 - $4921
A ≈ $5530.26
Therefore, the amount of interest accumulated after 25 years will be approximately $5530.26.
The correct answer is not listed in the given options.
Solve the problem.
Mara can type 26 words per minute. How many words would she type in (3/4) hour (45 minutes)?
Question 33 options:
A)
1170 words
B)
20 words
C)
878 words
D)
35 words
Solve the problem.
From a point on a straight road, two cars are driven in opposite directions, one at 42 miles per hour and the other at 48 miles per hour. In how many hours will they be 360 miles apart?
Question 34 options:
A)
4 hours
B)
5 hours
C)
3 hours
D)
Not enough information
Well?
Solve the problem.
Jeans with an original price of $56 are on sale at 20% off. What is the sale price of the jeans? (Round to the nearest cent, if necessary.)
Question 35 options:
A)
$11.20
B)
$44.80
C)
$67.20
D)
$54.88
Use 1 mi = 1.6 km to solve the problem.
Express 85 kilometers per hour in miles per hour.
Question 36 options:
A)
136.0 mi/hr
B)
81,600 mi/hr
C)
53.1 mi/hr
D)
3187.5 mi/hr
To convert kilometers per hour to miles per hour, we can use the conversion factor:
1 mi = 1.6 km
To find out how many miles per hour equal 85 kilometers per hour, we can multiply 85 km/hr by the conversion factor:
85 km/hr * (1 mi / 1.6 km) = 53.125 mi/hr
Rounding to the nearest tenth, we get:
53.1 mi/hr
Therefore, 85 kilometers per hour is approximately equal to 53.1 miles per hour.
The correct answer is C) 53.1 mi/hr.
Decide whether the equation is conditional, an identity, or a contradiction. Give the solution set.
3(10t + 6) = 6(3t - 3)
Question 37 options:
A)
Conditional; {-0}
B)
Identity; {all real numbers}
C)
Contradiction; ∅
D)
Conditional; {-3}
To determine if the equation is conditional, an identity, or a contradiction, we need to simplify the equation and see if a solution can be found that satisfies the equation.
Expanding both sides of the equation, we have:
30t + 18 = 18t - 18
Now, let's combine like terms:
30t - 18t = -18 - 18
12t = -36
Dividing both sides by 12, we find:
t = -3
Therefore, the equation has a solution at t = -3.
The equation is not conditional because it is not satisfied for just one particular value (e.g., {-0} or {-3}), and it is not a contradiction because it does have a valid solution.
Therefore, the equation is an identity because the solution set is all real numbers.
The correct answer is B) Identity; {all real numbers}.
Decide whether the equation is conditional, an identity, or a contradiction. Give the solution set.
-8s - 70 + 4(2s + 18) = 0
Question 15 options:
A)
Conditional; {2}
B)
Conditional; {1}
C)
Identity; {all real numbers}
D)
Contradiction; ∅
Answer must be in a fraction.
Solve the equation.
-[9x + (3x + 5)] = 5 - (3x + 2)
Solve the equation.
3m + 6 + 2(3m - 5) = 5(m + 5)
Answer must be a fraction
To solve the equation, let's simplify and solve for m:
3m + 6 + 2(3m - 5) = 5(m + 5)
First, simplify the expression inside the parentheses:
3m + 6 + 2(3m - 5) = 5m + 25
Distribute the 2:
3m + 6 + 6m - 10 = 5m + 25
Combine like terms:
9m - 4 = 5m + 25
Now, let's isolate the m term on one side of the equation:
9m - 5m = 25 + 4
Simplify:
4m = 29
Divide both sides by 4:
m = 29/4
Therefore, the solution to the equation is m = 29/4.
Solve the equation.
7 - (x - 9) = -5x + 4(x + 9)
Question 11 options:
A)
{(20/0)v}
B)
∅
C)
{10}
D)
{all real numbers}
The principal represents an amount of money deposited in a savings account subject to compound interest at the given rate. Find how much money will be in the account after the given number of years (Assume 360 days in a year.), and how much interest was earned.
A = P(1 + (r/n))nt P = (A/((1 + (r/n))) with superscript (nt)) A = Pert Y = (1 + (r/n))n - 1
Principal: $8500
Rate: 4%
Compounded: quarterly
Time: 4 years
Question 32 options:
A)
amount in account: $15,920.34; interest earned: $7420.34
B)
amount in account: $11,632.84; interest earned: $3132.84
C)
amount in account: $8845.13; interest earned: $345.13
D)
amount in account: $9966.92; interest earned: $1466.92
Solve the problem. Round to the nearest tenth if necessary.
Enrollment in a business seminar increased from 52 people to 69 people. What was the percent of increase?
Question 38 options:
A)
67.3%
B)
75.4%
C)
32.7%
D)
24.6%
Solve the problem.
If a freight carrier charges 54 cents for a package up to one ounce and 39 cents for each additional ounce or fraction of an ounce, find the cost of shipping a package that weighs 168 grams.
Question 39 options:
A)
$2.73
B)
$3.63
C)
$2.88
D)
$2.49
To solve the problem, we need to convert the weight of the package from grams to ounces and calculate the shipping cost based on the given rates.
1 ounce = 28