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andrew-mc [135]
3 years ago
13

Frank’s quarter grades are 82.5, 94.7, and 87.9. What grade, rounded to the nearest percent, will Frank have to earn in the last

quarter to receive at least a 88% final course grade?. . A.. 95%. . B.. 96%. . C.. 87%. . D.. 91%
Mathematics
1 answer:
Thepotemich [5.8K]3 years ago
4 0
The given final course grade, 88%, is the average of Frank's four quarter grades. The average is the sum of all grades divided among the four quarters. Let x be the average,
                                  (82.5 + 94.7 + 87.9 + x) / 4 = 88
The value of x is equal to 86.9. Thus, the answer is letter C. 87%.

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3 years ago
Find the sumofthe geometrical progression of five terms, of which the first term is 7 and the multiplier is 7.Verify that the su
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Step-by-step explanation:

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A geometric progression with 7 as the first term and 7 as the common ration.

a, ar, ar^2,...\\a  = 7\\r = 7

7, 7^2, 7^3, 7^4...

Sum of n terms in a geometric progression:

S_n = \displaystyle\frac{a(r^n - 1)}{(r-1)}

For sum of five terms, we put n= 5, a = 7, r = 7

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