Answer:
Step-by-step explanation:
Answer:
Step-by-step explanation:
We would apply the formula for determining compound interest which is expressed as
A = P(1+r/n)^nt
Where
A = total amount in the account at the end of t years
r represents the interest rate.
n represents the periodic interval at which it was compounded.
P represents the principal or initial amount deposited
From the information given,
A = $235,000
P = $53,000
n = 1 because it was compounded once in a year.
t = 18 years
Therefore,.
235000 = 53000(1 + r/1)^1 × 18
235000/53000 = (1 + r)^18
4.43 = (1 + r)^18
Raising both sides to the power of 1/18, it becomes
4.43^(1/18) = (1 + r)^18 × 1/18
1.086 = 1 + r
r = 1.086 - 1
r = 0.086
r = 0.086 × 100 = 8.6%
Don't sweat it. It looks complex but i will try to help explain it.
First all this equation ids saying is 8 times a number k divided by 3=32
So,First we get rid of the three.So it says divide by three so we do the opposite operation. So.So 32*3=96
Now we have 8k=96
So our goal is to get x by it self so we divide by 8 because we need to do do the opposite operation.
We get x=12
Answer:
482.84 cm
Step-by-step explanation:
Answer:
y = √(4x - 8) - 3
Step-by-step explanation:
y = 1/4(x + 3)² + 2
To find the inverse, switch the places of the x and y.
x = 1/4(y + 3)² + 2
Solve for y.
x - 2 = (1/4(y + 3)² + 2) - 2
x - 2 = 1/4(y + 3)²
4(x - 2) = 4(1/4(y + 3)²)
4x - 8 = (y + 3)²
√(4x - 8) = √((y + 3)²)
√(4x - 8) = y + 3
√(4x - 8) - 3 = (y + 3) - 3
√(4x - 8) - 3 = y
y = √(4x - 8) - 3
