Answer:
Amount on 11% note = $106,666.67
Amount on 8% note = $43,333.33
Step-by-step explanation:
Let the amount for the short-term note at 11% interest be x.
Thus, the amount for the short-term note at 8% interest will be (150000 - x)
Now we are told that the total interest paid is $15,200.
Thus;
0.11x + 0.08(150000 - x) = 15200
0.11x + 12000 - 0.08x = 15200
Rearranging gives;
0.03x = 15200 - 12000
0.03x = 3200
x = 3200/0.03
x = $106666.67
Thus, amount for 8% note = $150000 - $106666.67 = $43,333.33
Answer:
1 3/5 = 8/5
.2=2/100
Step-by-step explanation:
make an equality:
x/(8/5)=2/100
it kinds looks weird on here but write it out on paper
then cross multiply:
100x=(2)(8/5)
100x=16/5
now divide each side by 100:
x=4/125
same for the second one:
make an equality:
x/2=2/100
cross multiply:
100x=(2)(2)
100x=4
x=1/25
Answer:he must save an average of $150 or more in each of the remaining 8 months.
Step-by-step explanation:
Mr. Helsley wishes to save at least $1500 in 12 months. If he saved $300 during the first 4 months, then the amount left would be
≥ 1500 - 300
Let x represent the least possible average amount that he must save in each of the remaining 8 months. This means that the total amount that he would save in the last 8 months would be 8x. Therefore,
300 + 8x ≥ 1500
8x ≥ 1500 - 300
8x ≥ 1200
x ≥1200/8
x ≥ 150
Implicit differentiation
chain rule is important here
I'll show the steps partially
now evaluate for (-2,2)
x=-2 and y=2
that's it, simplest form
Answer:
The point P(1,-3) is not a solution to the system.
Step-by-step explanation:
Given 
Let a point be P(1,-3)
Here x = 1 ; y = -3
Substituting the values of x,y in the function
For y<x-1
-3 < 1-1
-3<0 (True)
now for,
y>-x+2
-3 > -1 + 2
-3 > 1 (False)
Hence the point is not a solution to the system.
