Answer:
#15) B. 30 mn^5
#17) B. 1/2
Step-by-step explanation:
<h2>#15:</h2>
The area of a trapezoid is given in the formula: 1/2(a + b) * h, where a is the length of the top of the trapezoid, b is the length of the bottom of the trapezoid, and h is the height of the trapezoid.
All of these measurements are given so all that you need to do is to substitute these values into the formula.
Substitute 3 for a, 9 for b, and 5 for h.
Solve inside the parentheses first. Add 3 and 9.
Multiply 12 and 1/2 together.
Multiply 6 and 5.
We need to figure out if the area is to the 5th or 6th power. When we added 3 and 9 together, we combined like terms so the exponent stayed to the 3rd power.
After multiplying this ^3 by the 5mn^2, the exponent becomes to the 5th power because you add exponents when multiplying.
Therefore the final answer is B. 30 mn^5.
<h2>#17:</h2>
When going down from 32 to 8 to 2, you can see that each number is being divided by 4.
32 / 4 = 8...
8 / 4 = 2...
So to find the next number in this sequence you would divide 2 by 4.
The answer is B. 1/2.
21.325 is the correct answer
Answer:
$95 per hour
Step-by-step explanation:
The total of charges is the sum of the cost of labor and the cost of parts. The cost of labor is the product of hours (5) and the cost per hour (x). Then the equation for total cost is ...
total cost = parts cost + hours cost
651 = 176 + 5x
475 = 5x . . . . . . . subtract 176
95 = x . . . . . . . . . divide by 5
The cost of labor per hour is $95.
Answer:
3yrs
Step-by-step explanation:
Given parameters:
Capital = $700
Percentage interest = 4% per annum
Unknown:
Time it will take for amount to be = $784
Solution:
To find the simple interest on an amount;
I = 
P is the principal
R is the rate
T is the time
I is the interest
Insert the parameters:
I = 
I = 28T
So;
At the end of the duration:
Principal + Interest = Amount
700+28T = 784
28T = 784 - 700
28T = 84
T = 3yrs
