Answer: B) $4,000
Step-by-step explanation:
The formula for determining simple interest is expressed as
I = PRT/100
Where
I represents interest paid on the loan.
P represents the principal or amount taken as loan
R represents interest rate
T represents the duration of the loan in years.
Considering Cathy's loan,
P = $20,000
R = 5.2%
T = 10 years
I = (20000 × 5.2 × 10)/100
I = $10400
Considering Steven's loan,
P = $20,000
R = 4.8%
T = 15 years
I = (20000 × 4.8 × 15)/100
I = $14400
The difference between the amounts of interest Cathy and Steven paid for their loans is
14400 - 10400 = $4000
Answer:
(-3,3)
Step-by-step explanation:
Using elimination:
Multiply the first equation by 8 and the second by 5 which equals
40x+56y=48
-40-60y=-60
Now you add them together
40x+(-40x)=0 so that crosses out
56y+(-60y)= -4y
48+(-60)=-12
You now have -4y=-12
Divide by -4
y=3
Now plug in y to any of the equations
5x+7(3)=6
5x+21=6
Subtract 21 from both sides
5x=-15
Divide by 5
x=-3
Your final solution is (-3,3)
X=105°
Y=105°
Z=105°
let the angle below 75° which is the 4th Street be A
75°+A=180°[being adjacent angle]
A=105°
X=A[Verticall opposite angle]
Z=A[Corresponding angle]
Y=X[alternate angle]
Answer: -18
<u>Explanation:</u>
Average rate of change is slope: 
. Need to find the y-coordinates:
g(x) = -x² - 4x
g(6) = -(6)² - 4(6)
= -36 - 24
= -60
⇒ (6, -60)
g(8) = -(8)² - 4(8)
= -64 - 32
= -96
⇒ (8, -96)
m = 
= 
= -18
The numeric values for the given functions are as follows:
<h3>How to find the numeric value of a function or of an expression at a given point?</h3>
To find the numeric value of a function at x = a, we replace each instance of the variable, usually x, in the function by the desired value of a.
Function f(x) is defined by:
f(x) = x².
For the numeric value at x = 1/3, we replace the lone instance of x by 1/3, hence:
f(1/3) = (1/3)² = 1/9.
Function g(x) is defined by:
g(x) = 2x.
For the numeric value at x = 4, we replace the lone instance of x by 4, hence:
g(4) = 2(4) = 8.
For the numeric value at x = -3, we replace the lone instance of x by -3, hence:
g(-3) = 2(-3) = -6.
More can be learned about the numeric values of a function at brainly.com/question/28367050
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