Not equal !! i hope this helped :))
Answer:
<em>The interest earned is $302.18</em>
Step-by-step explanation:
<u>Compound Interest
</u>
It occurs when the interest is reinvested rather than paying it out. Interest in the next compound period is earned on the principal sum plus previously accumulated interest.
The formula is:
![{\displaystyle A=P\left(1+{\frac {r}{n}}\right)^{nt}}](https://tex.z-dn.net/?f=%7B%5Cdisplaystyle%20A%3DP%5Cleft%281%2B%7B%5Cfrac%20%7Br%7D%7Bn%7D%7D%5Cright%29%5E%7Bnt%7D%7D)
Where:
A = final amount
P = initial principal balance
r = interest rate
n = number of times interest applied per time period
t = number of time periods elapsed
The investment described in the question is of P=$600 at a rate of r=6%=0.06 for t=7 years compounded annually. The compounding period coincides with the time of interest rate, thus n=1.
Applying the formula:
![{\displaystyle A=600\left(1+{\frac {0.06}{1}}\right)^{1*7}}](https://tex.z-dn.net/?f=%7B%5Cdisplaystyle%20A%3D600%5Cleft%281%2B%7B%5Cfrac%20%7B0.06%7D%7B1%7D%7D%5Cright%29%5E%7B1%2A7%7D%7D)
![{\displaystyle A=600\left(1.06}\right)^{7}}](https://tex.z-dn.net/?f=%7B%5Cdisplaystyle%20A%3D600%5Cleft%281.06%7D%5Cright%29%5E%7B7%7D%7D)
A = $902.18
The interest is:
I = A - P = $902.18 - $600 = $302.18
The interest earned is $302.18
The side AB measures option 2.
units long.
Step-by-step explanation:
Step 1:
The coordinates of the given triangle ABC are A (4, 5), B (2, 1), and C (4, 1).
The sides of the triangle are AB, BC, and CA. We need to determine the length of AB.
To calculate the distance between two points, we use the formula ![d=\sqrt{\left(x_{2}-x_{1}\right)^{2}+\left(y_{2}-y_{1}\right)^{2}}.](https://tex.z-dn.net/?f=d%3D%5Csqrt%7B%5Cleft%28x_%7B2%7D-x_%7B1%7D%5Cright%29%5E%7B2%7D%2B%5Cleft%28y_%7B2%7D-y_%7B1%7D%5Cright%29%5E%7B2%7D%7D.)
where (
) are the coordinates of the first point and (
) are the coordinates of the second point.
Step 2:
For A (4, 5) and B (2, 1), (
) = (4, 5) and (
) = (2, 1). Substituting these values in the distance formula, we get
![d=\sqrt{\left(2-4\right)^{2}+\left(1-5}\right)^{2}} = \sqrt{\left(2\right)^{2}+\left(4}\right)^{2}}=\sqrt{20}}.](https://tex.z-dn.net/?f=d%3D%5Csqrt%7B%5Cleft%282-4%5Cright%29%5E%7B2%7D%2B%5Cleft%281-5%7D%5Cright%29%5E%7B2%7D%7D%20%3D%20%5Csqrt%7B%5Cleft%282%5Cright%29%5E%7B2%7D%2B%5Cleft%284%7D%5Cright%29%5E%7B2%7D%7D%3D%5Csqrt%7B20%7D%7D.)
So the side AB measures
units long which is the second option.
Slope = (4 +1) / (-3 - 2) = 5/-5 = -1
Answer
- 1