Answer:
x = 7 , y= - 6
Step-by-step explanation:
4x = -2 - 5y ___(1)
4x= 10 - 3y ___(2)
so, now by simultaneous equations,
10 - 3y = - 2 - 5y
2y = -12
y = -6
if y = -6
then, 4x= 10 -3(-6)
4x =28
x = 7
Answer:
{-2, 6}
Step-by-step explanation:
10-5y=20
-5y=10
y=-2
10-5y=-20
-5y=-30
y=6
Answer:
8.85% per year
Step-by-step explanation:
To find the interest rate of a compounding interest, we use the formula:
![r=n[(\dfrac{A}{P})^{\dfrac{1}{nt}}-1]](https://tex.z-dn.net/?f=r%3Dn%5B%28%5Cdfrac%7BA%7D%7BP%7D%29%5E%7B%5Cdfrac%7B1%7D%7Bnt%7D%7D-1%5D)
Before we start solving, let's break down all the variables that we have.
A = 19,992.71
P = 10,000.00
n = 2
t = 8
r = ?
Now let's put the values into the formula.
![r=2[(\dfrac{19,992.71}{10,000.00})^{\dfrac{1}{2(8)}}-1]](https://tex.z-dn.net/?f=r%3D2%5B%28%5Cdfrac%7B19%2C992.71%7D%7B10%2C000.00%7D%29%5E%7B%5Cdfrac%7B1%7D%7B2%288%29%7D%7D-1%5D)
![r=2[(\dfrac{19,992.71}{10,000.00})^{\dfrac{1}{16}}-1]](https://tex.z-dn.net/?f=r%3D2%5B%28%5Cdfrac%7B19%2C992.71%7D%7B10%2C000.00%7D%29%5E%7B%5Cdfrac%7B1%7D%7B16%7D%7D-1%5D)
![r=2[(\dfrac{19,992.71}{10,000.00})^{0.0625}-1]](https://tex.z-dn.net/?f=r%3D2%5B%28%5Cdfrac%7B19%2C992.71%7D%7B10%2C000.00%7D%29%5E%7B0.0625%7D-1%5D)
![r=2[(1.9992.1)^{0.0625}-1]](https://tex.z-dn.net/?f=r%3D2%5B%281.9992.1%29%5E%7B0.0625%7D-1%5D)
![r=2[1.0442499885-1]](https://tex.z-dn.net/?f=r%3D2%5B1.0442499885-1%5D)
![r=2[0.0442499885]](https://tex.z-dn.net/?f=r%3D2%5B0.0442499885%5D)
or 
So the rate the Mrs. Emily Francis got from the bank was 8.85% per year.