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Sergio [31]
4 years ago
8

Parker was able to pay for 44 percent of his college tuition with his scholarship. The remaining $10,054.52 he paid for with a s

tudent loan. What was the cost of parkers tuition?
Mathematics
2 answers:
NARA [144]4 years ago
6 0
The answer is.............
22851.18182
Darina [25.2K]4 years ago
6 0
We know that 100-44=56 which is the percent NOT covered by the scholarship.  So 56% was paid by student loans.  Cross multiply.  56/100 (which is 56%) equals $10,054.52.  56/100=10054.52/x (letting x be the total cost)

100x10,054.52=1005452
divide by 56=$17,954.50 which is the total cost of tuition.
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Describe and correct the error in finding the tenth term of the arithmetic sequence 4, 12, 20, 28.
ycow [4]

Answer: The tenth term is 76

=======================================================

Explanation:

We use this arithmetic sequence formula to get the nth term

a_n = a_1 + d(n-1)

Plug in a_1 = 4, \ d = 8, \ n = 10 and you should get the following:

a_n = a_1 + d(n-1)\\\\a_{10} = 4 + 8(10-1)\\\\a_{10} = 4 + 8(9)\\\\a_{10} = \textbf{76}\\\\

The tenth term is <u>76</u>

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We can verify this by listing out the terms one by one. Start at 4, add on 8 each time, until you generate the 10th term. A table like the one shown below is a good way to keep track of all the terms.

\begin{array}{c|c}\boldsymbol{n} & \boldsymbol{a_n}\\1 & 4\\2 & 12\\3 & 20\\4 & 28\\5 & 36\\6 & 44\\7 & 52\\8 & 60\\9 & 68\\10 & \textbf{76}\\\end{array}

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In short, the error is with the "10" in the expression 4+10(8). The student should have used 9 instead. This is because of the n-1 term in a_n = a_1 + d(n-1) which shifts everything one spot to the left.

7 0
2 years ago
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