Answer: 2√313
Step-by-step explanation:
Pythagorean theorem: a²+b²=c²
c²=a²+b²
c²=24²+26²
c²=576+676
c²=1252
c=√1252
c=2√313
Hope this helps!! :)
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Answer:
1) Repaid for the loan = $239,511.60
2) Percentage = 58.2%
3) Average amount = $387.53
Step-by-step explanation:
Given :
Amount $100,000
Rate 7%
Payments 360 - $665.31
Total interest $139,511.60
To find :
1) How much will be repaid for this loan?
Repaid for the loan = Amount - Total interest
Repaid for the loan = 100,000 + 139,511.60
Repaid for the loan = $239,511.60
2) What percentage will be repaid for this loan?
![\text{Percentage}=\frac{\text{Total interest}}{\text{Repaid loan}}\times100](https://tex.z-dn.net/?f=%5Ctext%7BPercentage%7D%3D%5Cfrac%7B%5Ctext%7BTotal%20interest%7D%7D%7B%5Ctext%7BRepaid%20loan%7D%7D%5Ctimes100)
![\text{Percentage}=\frac{139511.60}{239511.60}\times100](https://tex.z-dn.net/?f=%5Ctext%7BPercentage%7D%3D%5Cfrac%7B139511.60%7D%7B239511.60%7D%5Ctimes100)
![\text{Percentage}=0.582\times100](https://tex.z-dn.net/?f=%5Ctext%7BPercentage%7D%3D0.582%5Ctimes100)
![\text{Percentage}=58.2\%](https://tex.z-dn.net/?f=%5Ctext%7BPercentage%7D%3D58.2%5C%25)
3) What will be the average amount per payment for interest?
![\text{Average amount}=\frac{\text{Total interest}}{\text{Payments}}](https://tex.z-dn.net/?f=%5Ctext%7BAverage%20amount%7D%3D%5Cfrac%7B%5Ctext%7BTotal%20interest%7D%7D%7B%5Ctext%7BPayments%7D%7D)
![\text{Average amount}=\frac{\text{139511.60}}{\text{360}}](https://tex.z-dn.net/?f=%5Ctext%7BAverage%20amount%7D%3D%5Cfrac%7B%5Ctext%7B139511.60%7D%7D%7B%5Ctext%7B360%7D%7D)
![\text{Average amount}=387.53](https://tex.z-dn.net/?f=%5Ctext%7BAverage%20amount%7D%3D387.53)
Answer:
245 miles driven.
Step-by-step explanation:
A car rental company charges $10 a day and 17 cents per mile to rent their cars. 17 cents = 0.17 dollars
Let x be the number of miles and y be the number of days
total change =0.17x + 10y
Given total change is 61.65 and number of days = 2
plug in the values and find out the number of miles
61.65 = 0.17 x + 2(10)
61.65 = 0.17 x + 20
subtract 20 on both sides
41.65 = 0.17x
Divide by 0.17 on both sides
x = 245
245 miles driven.
Answer:
third option (-3,3,5,9)
Step-by-step explanation:
domain is the starting point of the set (x coordinate )
Answer:
48
Step-by-step explanation:
The ratio of professors to lecturers is ...
P : L = 6 : 11
Then the ratio of professors to total faculty is ...
P : (P+L) = 6 : (6+11) = 6 : 17
That is, professors make up 6/17 of the total faculty. Their number is ...
P = (6/17)·136 = 48
The Community College employs 48 professors.