Answer:
1 pencil is a dollar and a ruler is 4
Step-by-step explanation:
Answer:
Annual rate of interest will be 132.876 %
Step-by-step explanation:
We have given amount which he has to pay A = $611.03
He does a monthly payment of $26.17
So principle amount P = $26.17
Time = 2.5 years
As payment is done monthly so time period = 12×2.5 = 30 periods
Future amount is given by
![A=P(1+\frac{r}{100})^n](https://tex.z-dn.net/?f=A%3DP%281%2B%5Cfrac%7Br%7D%7B100%7D%29%5En)
![611.03=26.17(1+0.01r)^{30}](https://tex.z-dn.net/?f=611.03%3D26.17%281%2B0.01r%29%5E%7B30%7D)
![(1+0.01r)^{30}=23.3484](https://tex.z-dn.net/?f=%281%2B0.01r%29%5E%7B30%7D%3D23.3484)
![(1+0.01r)=23.3484^{\frac{1}{30}}=1.110](https://tex.z-dn.net/?f=%281%2B0.01r%29%3D23.3484%5E%7B%5Cfrac%7B1%7D%7B30%7D%7D%3D1.110)
![0.01r=1.110-1=0.11](https://tex.z-dn.net/?f=0.01r%3D1.110-1%3D0.11)
%
So annual rate will be 11.07×12 = 132.876%
Annual rate of interest will be 132.876 %
10 3/5 is the correct answer
Answer:
(f⁻¹)'(b) = 1/f'(f⁻¹(b)) = 1/f'(a)
Step-by-step explanation:
The function f⁻¹(x) is the reflection of the function f(x) across the line y=x. Every point (a, b) that is on the graph of f(x) is reflected to be a point (b, a) on the graph of f⁻¹(x).
Any line with slope m reflected across the line y=x will have slope 1/m. (x and y are interchanged, so m=∆y/∆x becomes ∆x/∆y=1/m) Since f'(x) is the slope of the tangent line at (x, f(x)), 1/f'(x) will be the slope of the tangent line at (f(x), x).
Replacing x with f⁻¹(x) in the above relation, you get ...
... (f⁻¹)'(x) = 1/f'(f⁻¹(x)) will be the slope at (x, f⁻¹(x))
Putting your given values in this relation, you get
... (f⁻¹)'(b) = 1/f'(f⁻¹(b)) = 1/f'(a)
5x+7y=41
3x-2y=6
Multiply each equation by coefficient to y
2(5x+7y)=2(41 )
7(3x-2y)=7(6 )
Add both equations
10x+14y=82
+ 21x-14y=42
____________
3x = 124
Divide both sides by 3 to find x
3x/3=124/3
X= 4
Now select an equation substitute x to solve for y .
10x+14y=82
10(4)+14y=82
40+14y= 82
Subtract 40 both sides
40-40+14y=82-40
14y= 42
Divide 14 both sides
14y/14=42/14
Y= 3
Your answer is point form ( 4,3)