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.
Answer= 2w2-9w-5
Hope this helps
Answer:
Step-by-step explanation:
Mass m=25 g
Volume V=1.29 cm³
density D=M/V
=25/1.29
≈19.38
≈19 g/cm³
Answer:

Step-by-step explanation:
m∠4 + m∠7 = 180 (Adjacent Angles of a parallelogram)
<u>Given that</u> m∠4 = x + 45, m∠7 = x² + 45
x + 45 + x² + 45 = 180
x² + x + 90 = 180
x² + x = 180 - 90
x² + x = 90
x² + x - 90 = 0
Using mid-term break formula
x² + 10x - 9x - 90 = 0
x(x+10) - 9(x+10) = 0
(x - 9)(x + 10) = 0
<u>Either, </u>
x-9 = 0 <u>OR</u> x+10 = 0
x = 9 <u>OR</u> x = -10
![\rule[225]{225}{2}](https://tex.z-dn.net/?f=%5Crule%5B225%5D%7B225%7D%7B2%7D)
Now,
m < 7 = x² + 45
<u>For x = 9</u>
m < 7 = (9)² + 45
m < 7 = 81 + 45
<h3>m < 7 = 126°</h3>
<u>For x = -10</u>
m < 7 = (-10)² + 45
m < 7 = 100 + 45
<h3>m < 7 = 145°</h3>
![\rule[225]{225}{2}](https://tex.z-dn.net/?f=%5Crule%5B225%5D%7B225%7D%7B2%7D)
Hope this helped!
<h3>~AnonymousHelper1807</h3>