The interest rate is 3.5%.
EXPLANATION
We substitute the given values into the formula;
![A=P(1+\frac{r}{100})^t](https://tex.z-dn.net/?f=A%3DP%281%2B%5Cfrac%7Br%7D%7B100%7D%29%5Et)
to obtain
![6427.35=6000(1+\frac{r}{100})^2](https://tex.z-dn.net/?f=6427.35%3D6000%281%2B%5Cfrac%7Br%7D%7B100%7D%29%5E2)
We divide through by 6000 to obtain,
![\frac{6427.35}{6000}=(1+\frac{r}{100})^2](https://tex.z-dn.net/?f=%5Cfrac%7B6427.35%7D%7B6000%7D%3D%281%2B%5Cfrac%7Br%7D%7B100%7D%29%5E2)
This implies that,
![1.071225=(1+\frac{r}{100})^2](https://tex.z-dn.net/?f=1.071225%3D%281%2B%5Cfrac%7Br%7D%7B100%7D%29%5E2)
We take the square root of both sides,
![\sqrt{1.071225}=(1+\frac{r}{100})](https://tex.z-dn.net/?f=%5Csqrt%7B1.071225%7D%3D%281%2B%5Cfrac%7Br%7D%7B100%7D%29)
This gives us,
![1.035=(1+\frac{r}{100})](https://tex.z-dn.net/?f=1.035%3D%281%2B%5Cfrac%7Br%7D%7B100%7D%29)
Add -1 to both sides of the equation to obtain
![0.035=\frac{r}{100}](https://tex.z-dn.net/?f=0.035%3D%5Cfrac%7Br%7D%7B100%7D)
Multiply through by 100 to obtain;
![r=3.5](https://tex.z-dn.net/?f=r%3D3.5)
%
Answer:
5.25 represents the cost of each radio
Step-by-step explanation:
Answer:
8.57 explanation:
Step-by-step explanation: If Quan gets 210 dollars every 24 hours and you want to find the amount he gets every hour all you have to do is do 210 divided by 24 which you will get 8.75. So every hour he gets $8.75 every hour for his work
CD is congruent to XY, DA is congruent to YZ and AC is congruent to ZX even tho i'm not able to see properly your image
Answer:
x and y = 5√2.
Step-by-step explanation:
This is a 45:45:90 triangle so length of x = length of y.
In this triangle the ratio of the sides is 1:1:√2
Finding length of x and y:
1/√2 = x/10
√2x = 10
x = 10/√2
= 10√2/2
= 5√2.