sophiebeardsley94
09.03.2020 •
Mathematics
1st Question: Dominic pays 7% interest on his $18,000 college loan and 12% interest on his $14,000 car loan. What average interest rate does he pay on the total $32,000 he owes? (Round your answer to the nearest tenth of a percent.)
2nd Question: The ice rink sold 95 tickets for the afternoon skating session, for a total of $828. General admission tickets cost $10 each and youth tickets cost $8 each. How many general admission tickets and how many youth tickets were sold?
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Ответ:
1) The average interest rate he will pay on the total $32,000 he owes 9.2%
2) General tickets is 34 and youth tickets is 61
Step-by-step explanation:
1st Question:
Total money owed = $32,000
Interest paid on $18,000 is 7% ==> 18,000 x 0.07 = 1,260
Interest paid on $14,000 is 12% ==> 14,000 x 0.12 = 1,680
To find Average interest rate:
Let 'X' be interest paid on $32,000 ==> 32,000*X
Total interest paid = Sum of all interests
32,000*X = 1,260 + 1,680
32,000*X = 2,940
X = 0.0919
∴ X = 9.2%
2nd Question
Value of 95 tickets is $828
Youth ticket cost is $8
General admission cost is $10
Let 'Y' be Number of youth tickets sold, Number of general admission tickets is 95 - Y since the total number of ticket is 95.
Value of 95 - Y general admission tickets is (95 - Y)10
Value of Y youth tickets is 8Y
Total value is $828
(95-Y)10 + 8Y = 828
950 - 10Y + 8Y = 828
122 = 2Y
Y = 61
Recall that, number of general admission tickets is 95 - Y ==> 95 - 61 ==> 34
Ответ:
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