Answer:
C
Step-by-step explanation:
An approximation of an integral is given by:
First, find Δx. Our a = 2 and b = 8:
The left endpoint is modeled with:
And the right endpoint is modeled with:
Since we are using a Left Riemann Sum, we will use the first equation.
Our function is:
Therefore:
By substitution:
Putting it all together:
Thus, our answer is C.
*Note: Not sure why they placed the exponent outside the cosine. Perhaps it was a typo. But C will most likely be the correct answer regardless.
The correct option will be: d. 0.4%
For finding the periodic interest rate , we need to divide the annual interest rate by the number of times interest calculated in a year.
Here, the simple interest is calculated monthly, that means the number of times interest calculated in a year will be 12.
Annual interest rate is 4.8%
So, the periodic interest rate = 
%
To find the mean, you have to add all the numbers then divide it by how many numbers there are.
In this case, you'll need to add all those numbers and divide it by 4.
The mean is 1995.
First add 24.95 and 35.99. You get 60.94 (Remember This!)
Now you take 49.95 divided by 2. you should get: 24.975.
add 24.975 with 60.94. You get 85.915
take 85.915 and multiply it by 0.15. You get 12.88725.
Subtract 85.915 by 12.88725. You should get 73.02775.
Now multiply that by 0.045. you should get 3.28624875.
Add that onto 73.02775, and you get 76.31399875.
Round that to the nearest hundredth, and your done! (The answer is: 76.31!)
The answer will be the B.
Answer:
h= 7.5
Step-by-step explanation:
8h=60
One solution was found :
h = 15/2 = 7.500
Rearrange:
Rearrange the equation by subtracting what is to the right of the equal sign from both sides of the equation :
8*h-(60)=0
Step by step solution :
Step 1 :
Pulling out like terms :
1.1 Pull out like factors :
8h - 60 = 4 • (2h - 15)
Equation at the end of step 1 :
Step 2 :
Equations which are never true :
2.1 Solve : 4 = 0
This equation has no solution.
A a non-zero constant never equals zero.
Solving a Single Variable Equation :
2.2 Solve : 2h-15 = 0
Add 15 to both sides of the equation :
2h = 15
Divide both sides of the equation by 2:
h = 15/2 = 7.500
One solution was found :
h = 15/2 = 7.500
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