Answer:
It will take about 7.3 years for his money to triple.
Step-by-step explanation:
Identify the variables in the formula.
A = 150,000
P = 50,000
r = 0.15
t = ?
A = Pe^rt
Substitute the values into the formula.
150,000 = 50,000e^0.15*t
Solve for t. Divide each side by 50,000.
3 = e^0.15*t
Take the natural log of each side.
ln 3 = ln e^0.15*t
Use the power property and then simplify.
ln 3 = 0.15*t ln e
ln 3 = 0.15-t
Divide each side by 0.15.
(ln 3)
/(0.15) = t
Approximate the answer.
t ≈ 7.3
First, we calculate for the effective interest given the
annual interest and the condition that it is compounded monthly.
<span> Ieff = (1
+ 0.0925/12)^12 – 1 = 0.09652</span>
The equation that would best represent the value of
Grace’s money after x years is equal to,
<span>
An = ($1000)(1.09652)^x</span>
<span>Where x is the number of years</span>
Can you help me on my recent
(4x^5-15x^3-10x^2)-(2x^5-5x^3-2x^2)
So, the first thing we will do is add like terms. But before that, lets get rid of both parenthesis. We'll just get rid of the first pair, and for the second pair, we will multiple everything in the second parenthesis by -1
4x^5-15x^3-10x^2-2x^5+5x^3+2x^2
Now, we will add like terms.
2x^5-10x^3-8x^2
Now, there's a common factor that all of these terms share; it's 2x^2. 2x^5 can be divided by 2, as well as -10x^3 and -8x^2 (these are the coefficients, number found in front of the variable.) So, we'll distribute 2
2x^2(x^3-5x-4) (we take the 2x^2 out by dividing all terms by 2x^2)
So, our answer would be
2x^2
Answer:
78
Step-by-step explanation:
you have to multipy 13 and 12 then divide it by 2.(13*12=156/2=78)
