Answer:
Step-by-step explanation:
I made a table with a pretend number of years of teaching by picking a somewhat random number to start
"Clark has less seniority than Cornwall but more than Prendergast:" I picked 3 for Clark 4 for Cornwall, and 2 for Prendergast, to start.
"Prendergast has more than Brown but less than Alexander:" I see I'm running out of easy numbers here. "Prendergast has more than Brown" means give Brown 1 year but this new teacher, Alexander needs a number between Clark and Prendergast. To make room, I increased Clark and Cornwall by 1 and finished the remainder in the "Final Years" column:
<u>Teacher </u> <u>Years</u> <u> Final Years</u>
Clark 3 4
Cornwall 4 5
Prendergast 2
Brown 1
Alexander 3
The highest seniority teacher, Cornwall, is smart and refuses the job. That leaves Clark, at number 2 seniority, to become the new supervisor.
Answer:
x=0,y=-3
Step-by-step explanation:
3x-5y=15 - equation(1)
x-4y=12 => x=12+4y -equation (2)
Replace equation (2) in equation (1)
3(12+4y)-5y=15
36+12y-5y=15
7y=15-36
7y= -21
y = -21/7
y=-3
If y=-3,then replace in equation (1) ; 3x -5(-3)=15
3x+15=15
3x=0
x=0
Answer:
0.2
Step-by-step explanation:
Similar triangles are triangles which have the same shape but not the same size. This means their angle measures are equal but their side lengths are not instead they are proportional. This means that if a rectangle has sides 3 by 4 its area will be 12. But its image after being dilated by 2 is 6 by 8 or twice the side. Will the area also be twice the size? The area of the image is 6*8 = 48. This is 4 times bigger than 12. Not twice as big. So the similarity of the area is the scale factor squared.
So if figure A has area 13 units. And they have a ratio or scale factor of 1/8 then the area sclae factor will be 1/8*1/8 = 1/64.
So 13*1/64 will be the area of figure B.
13* 1/64 = 13/64 = 0.2
Given:
loan amount: 25,250
original interest rate: 3.4%
new interest rate: 6.8%
term: 10 years.
Assuming that simple interest formula is used.
I = P * r * t
I = interest
P = principal
r = interest rate
t = term/time
I = 25,250 * 3.4% * 10 years
I = 8,585
I = 25,250 * 6.8% * 10 years
I = 17,170
17,170 - 8,585 = 8,585 Additional interest paid using the new interest rate.
Using an online loan repayment calculator: Here are the following data:
Loan Balance:$25,250.00
Adjusted Loan Balance:$25,250.00Loan
Interest Rate:6.80%
Loan Fees:0.00%
Loan Term:10 years
Minimum Payment:$0.00
Monthly Loan Payment:$290.58
Number of Payments:120
Cumulative Payments:$34,869.23
Total Interest Paid:$9,619.23
<span><span>Loan Balance:$25,250.00
</span><span>Adjusted Loan Balance:$25,250.00
</span><span>Loan Interest Rate:3.40%
</span><span>Loan Fees:0.00%
</span><span>Loan Term:10 years
</span><span>Minimum Payment:$0.00</span>
<span>Monthly Loan Payment:$248.51
</span><span>Number of Payments:120</span>
<span>Cumulative Payments:$29,820.59
</span><span>Total Interest Paid:<span>$4,570.59</span></span></span>
Answer:Column one answers:
1: 490
2:396
3.18
4.10
Column 2:
1. 490
2.396
3.18
4.100
Column 3:
1.490
2.396
3.18
4.100
Hope this helps if you need more then just ask