Answer:
Given:
Principal= $5,000
After 3 years, Amount= $7,100
After 8 years, Amount= $10,350
Step-by-step explanation:
Interest after 3 years= $7,100- $5,000
=$2,100
Interest in last 5 years= $10,350- $7,100
=$ 3,250
Difference between first 3 years and last 5 years= $3,250- $2,100
=$1,150
Amount= Principal*![(1+r/100)^{t}](https://tex.z-dn.net/?f=%281%2Br%2F100%29%5E%7Bt%7D)
10,350=5000![(1+r/100)^{8}](https://tex.z-dn.net/?f=%281%2Br%2F100%29%5E%7B8%7D)
=![(1+r/100)^{8}](https://tex.z-dn.net/?f=%281%2Br%2F100%29%5E%7B8%7D)
2.07=![(1+r/100)^{8}](https://tex.z-dn.net/?f=%281%2Br%2F100%29%5E%7B8%7D)
=1+![\frac{r}{100}](https://tex.z-dn.net/?f=%5Cfrac%7Br%7D%7B100%7D)
1.095-1=![\frac{r}{100}](https://tex.z-dn.net/?f=%5Cfrac%7Br%7D%7B100%7D)
0.095*100=r
r=9.5%
Average rate=![\frac{5000*9.5*1}{100}](https://tex.z-dn.net/?f=%5Cfrac%7B5000%2A9.5%2A1%7D%7B100%7D)
=$475
Answer:
The trainers are 44.71% off the original price i think.
Step-by-step explanation:
Answer:
![{f}^{ - 1} (x) = \frac{1}{2} x - \frac{3}{2}](https://tex.z-dn.net/?f=%20%7Bf%7D%5E%7B%20-%201%7D%20%28x%29%20%3D%20%20%5Cfrac%7B1%7D%7B2%7D%20x%20-%20%20%5Cfrac%7B3%7D%7B2%7D%20)
Step-by-step explanation:
To find the inverse of a function, first let y= f(x).
f(x)= 2x +3
Let y= f(x).
y= 2x +3
Next, make x the subject of formula.
y -3= 2x
Divide both sides by 2:
![x = \frac{1}{2} y - \frac{3}{2}](https://tex.z-dn.net/?f=x%20%3D%20%20%5Cfrac%7B1%7D%7B2%7D%20y%20%20-%20%20%20%5Cfrac%7B3%7D%7B2%7D%20)
Replace x with f⁻¹(x) and y with x to obtain the inverse of the function.
![\bf {f}^{ - 1} (x) = \frac{1}{2} x - \frac{3}{2}](https://tex.z-dn.net/?f=%5Cbf%20%7Bf%7D%5E%7B%20-%201%7D%20%28x%29%20%3D%20%20%5Cfrac%7B1%7D%7B2%7D%20x%20%20-%20%20%20%5Cfrac%7B3%7D%7B2%7D%20)
Thus, the 2nd option is correct.
60 Us/Uk dollars
The guy above me got it right
Yes they are porpotionsk the answer . hope this helps