Solve the problem.
Cindy wants to secure sequins on a piece of felt shaped like a trapezoid with a height of 8 cm and bases of 17 cm and 11 cm. What is the cost of all the sequins if sequins cost $0.90 per cm^2 of coverage?
Question 19 options:
A)
$39.60
B)
$32.40
C)
$123.75
D)
$100.80
To find the area of the trapezoid, we can use the formula:
Area = (Height/2) * (Base1 + Base2)
Plugging in the given values, we get:
Area = (8/2) * (17 + 11)
= 4 * 28
= 112 cm^2
Now, to find the cost of all the sequins, we need to multiply the area by the cost per cm^2:
Cost = Area * Cost per cm^2
= 112 * $0.90
= $100.80
Therefore, the cost of all the sequins is $100.80.
The answer is D) $100.80.
Use the present value formula to determine the amount to be invested now, or the present value needed.
The desired accumulated amount is $43,000 after 5 years invested in an account with 9% interest compounded semiannually
Question 20 options:
A)
$15,311.11
B)
$27,947.05
C)
$66,777.69
D)
$27,688.89
To find the present value needed, or the amount to be invested now, we can use the present value formula:
Present Value = Future Value / (1 + (Interest Rate / Number of Compounding Periods))^(Number of Compounding Periods * Number of Years)
Plugging in the given values, we get:
Present Value = $43,000 / (1 + (0.09 / 2))^(2 * 5)
= $43,000 / (1 + 0.045)^(10)
= $43,000 / (1.045)^(10)
Calculating the value inside the parentheses first:
(1.045)^(10) = 1.5987
Now, we can calculate the present value:
Present Value = $43,000 / 1.5987
= $27,688.89
Therefore, the present value needed, or the amount to be invested now, is $27,688.89.
The answer is D) $27,688.89.
Solve the problem.
Would you be liable to get a traffic ticket traveling at 54 mph in a 65-kph speed zone? If so, by what amount in miles per hour would you have exceeded the limit? Round your result to the nearest mile per hour.
Question 21 options:
A)
No.
B)
Yes. 14 mph
C)
Yes. 87 mph
D)
Yes. 22 mph
To determine if you would be liable to get a traffic ticket, we need to convert 65 kilometers per hour to miles per hour and then compare it to 54 mph.
1 kilometer per hour is approximately 0.6214 miles per hour.
65 kilometers per hour is approximately 40.39 miles per hour (65 * 0.6214).
Since you were traveling at 54 mph, which is less than 40.39 mph, you would NOT be liable to get a traffic ticket.
Therefore, the answer is A) No.
Indicate the metric unit of measurement that you would use to measure the object.
The diameter of a bolt.
Question 23 options:
A)
decimeters
B)
kilometers
C)
meters
D)
millimeters
The appropriate metric unit of measurement to measure the diameter of a bolt is D) millimeters.
Solve the problem.
When Maria finished medical school she owed $18,000 in student loans. She repaid (1/3) of the total amount within two years of graduating. How much did she repay within two years of graduating?
Question 27 options:
A)
$6000
B)
$6600
C)
$5400
D)
$600
To find out how much Maria repaid within two years of graduating, we need to calculate (1/3) of the total amount she owed.
(1/3) * $18,000 = $6,000
Therefore, Maria repaid $6,000 within two years of graduating.
The answer is A) $6,000.
Find the standard deviation for the given data. Round your final answer to one more decimal place than that used for the observations.
Christine is currently taking college astronomy. The instructor often gives quizzes. On the past seven quizzes, Christine got the following scores.
54 12 224 21 13 46 79
Question 28 options:
A)
224
B)
74.6
C)
28,800.1
D)
62,203