Answer:
Step-by-step explanation:
The standard compound interest formula is given by:
Where A is the amount afterwards, P is the principal, r is the rate, n is the times compounded per year, and t is the number of years.
Since we are compounding annually, n=1. Therefore:
Lester wants to invest $10,000. So, P=10,000.
He wants to earn $1000 interest. Therefore, our final amount should be 11000. So, A=11000.
And our timeframe is 3.3 years. So, t=3.3. Substituting these values, we get:
Let’s solve for our rate r.
Divide both sides by 10000:
We can raise both sides to 1/3.3. So:
The right side will cancel:
So:
Use a calculator:
So, the annual rate of interest needs to be about 0.03 or 3% in order for Lester to earn his interest.
Answer:
A
Step-by-step explanation:
-3x²y² × y⁴x³
When multiplying, add the exponents:
-3x⁽²⁺³⁾y⁽²⁺⁴⁾
-3x⁵y⁶
Answer is A.
Answer:
No solutions.
Step-by-step explanation:
Both equations have the same slope, but are separated by virtue of their different values of b, the y-intercept. The same slope means they are parallel lines. Since the y-intercept is different, they do not overlap.
As they say, "Parallel line have a lot in common. Too bad they'll never meet."
See attachment.
Answer:
Yes.
Step-by-step explanation:
Set the equations equal to each other to determine their equality.
-4[3(x - 7)] = 6(14 - 2x)
Distribute the 3 and the 6 into their respective parenthesis.
-4[3x - 21] = 84 - 12x
Distribute the -4 into the brackets.
-12x + 84
Rearrange the equations.
84 - 12x = 84 - 12x
Since the equations come out to be the same thing on both sides so that any value satisfies it, the equations are equivalent.
Answer:
18,771 $
Step-by-step explanation:
there are 52.1429 weeks in one year with 40 hours of work each week and then 9 dollars made an hour this equals to 18,771 $
