DFord001
18.09.2019 •
Mathematics
Abank loaned out 59,000, part of it at the rate of 15% per year and the rest at a rate of 4% per year. if the interest received was $5440, how much was loaned at 15%?
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Ответ:
lets say that the second part of 59,000 (interest rate of 4% per year) is "59000 - x"
what we are trying to find is the value of "x"
assuming that one year has passed:
15%*x + 4%*(59000-x) = $5440
expand 4%*(59000-x) = 4%*59000 - 4%*x
15%*x + 4%*59000 - 4%*x = $5440
15%*x + 2360 - 4%*x = $5440
15%*x - 4%*x = $3080
11%*x = $3080
(11/100)*x = $3080
x = (3080/11)*100
x = 28000
therefore the amount that was loan out with an interest of 15% per year is $28000 assuming that the interest received was from one year
Ответ:
Jason's scores : 80 90 95 85 70 and
Jill's score : 70 75 90 100 95.
Mean of Jason's scores =
Mean of Jill's scores =
Now, in order to find the mean absolute deviation, need to find the difference of each score from means.
Mean absolute deviation for Jason's scores.
|84-80| = 4
|84-90| = 6
|84-95| = 9
|84-85| = 1
|84-70|= 14
Mean absolute deviation for Jill's scores
|86-70| = 16
|86-75| = 11
|86-90| = 4
|86-100| = 14
|86-95|= 9
Jill got average quiz score 86 and Jason got 84.
Therefore, Jill got better quiz average.
Also, the mean absolute deviation for Jason scores is less that is 6.8 than 10.8.
Therefore, Jason got more consistent grades.