Problem 1 Answer: x = 2/3y+8
Show Work:
Step 1: Add 2y to both sides.
3x−2y+2y=24+2y
3x=2y+24
Step 2: Divide both sides by 3.
3x/3 = 2y+24/3
x = 2/3y+8
Problem 2 Answer: x=−2y+48
Show Work:
Add -2y to both sides.
x+2y+−2y=48+−2y
x=−2y+48
The formula that calculates the compound rate from the given values is ![r = n(-1 + \sqrt[10n]{\frac{P + I}{P}})](https://tex.z-dn.net/?f=r%20%3D%20n%28-1%20%2B%20%5Csqrt%5B10n%5D%7B%5Cfrac%7BP%20%2B%20I%7D%7BP%7D%7D%29)
<h3>How to determine the compound interest rate?</h3>
The compound interest formula is:
Where:
- P represents the principal amount
- r represents the compound interest rate
- n represents the number of times the interest is compounded
- t represents the time in years
- I represents the interest
We start by adding P to both sides
Divide through by P
Take the nt-th root of both sides
![\sqrt[nt]{\frac{P + I}{P}} = 1 + \frac rn](https://tex.z-dn.net/?f=%5Csqrt%5Bnt%5D%7B%5Cfrac%7BP%20%2B%20I%7D%7BP%7D%7D%20%3D%201%20%2B%20%5Cfrac%20rn)
Subtract 1 from both sides
![-1 + \sqrt[nt]{\frac{P + I}{P}} = \frac rn](https://tex.z-dn.net/?f=-1%20%2B%20%5Csqrt%5Bnt%5D%7B%5Cfrac%7BP%20%2B%20I%7D%7BP%7D%7D%20%3D%20%5Cfrac%20rn)
Multiply through by n
![r = n(-1 + \sqrt[nt]{\frac{P + I}{P}})](https://tex.z-dn.net/?f=r%20%3D%20n%28-1%20%2B%20%5Csqrt%5Bnt%5D%7B%5Cfrac%7BP%20%2B%20I%7D%7BP%7D%7D%29)
In this case, t = 10
So, we have:
Hence, the formula that calculates the compound rate is
Read more about compound interest at:
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Answer: 1/3
Step-by-step explanation: Since there are six sides to a number cube, the total number of outcomes will be 6.
Since there are 2 favorable outcomes, rolling a 1 or a 6,
the probability of rolling a 1 or a 6 is 2/6 which reduces to 1/3.
Answer:
$72.90 is the interest earned
Step-by-step explanation:
The appropriate formula is i = prt, where r is the annual interest rate expressed as a decimal fraction.
Here, i = ($270)(0.09)(3 yr) = $72.90 is the interest earned
Answer:
∛
I am not sure about my answer but I have solved it like this...
Step-by-step explanation:
x-y ÷ ∛x-∛y
we can take ∛ as common and write it outside the parenthesis
∛(x-y)
then we can just cancel out x-y and the answer will be ∛
