Answer:
In 10 years, you will have $793,789.89
Step-by-step explanation:
Counted with compound interest, i would need to know what was the initial but the answ is $793,789.89
Answer:
The value of the test statistic is ![z = -1.5](https://tex.z-dn.net/?f=z%20%3D%20-1.5)
Step-by-step explanation:
The formula for the test statistic is:
![z = \frac{X - \mu}{\frac{\sigma}{\sqrt{n}}}](https://tex.z-dn.net/?f=z%20%3D%20%5Cfrac%7BX%20-%20%5Cmu%7D%7B%5Cfrac%7B%5Csigma%7D%7B%5Csqrt%7Bn%7D%7D%7D)
In which X is the statistic,
is the mean,
is the standard deviation and n is the number of observations.
In this problem, we have that:
![\mu = 20, X = 17, \sigma = 6, n = 9](https://tex.z-dn.net/?f=%5Cmu%20%3D%2020%2C%20X%20%3D%2017%2C%20%5Csigma%20%3D%206%2C%20n%20%3D%209)
So
![z = \frac{X - \mu}{\frac{\sigma}{\sqrt{n}}}](https://tex.z-dn.net/?f=z%20%3D%20%5Cfrac%7BX%20-%20%5Cmu%7D%7B%5Cfrac%7B%5Csigma%7D%7B%5Csqrt%7Bn%7D%7D%7D)
![z = \frac{17 - 20}{\frac{6}{\sqrt{3}}}](https://tex.z-dn.net/?f=z%20%3D%20%5Cfrac%7B17%20-%2020%7D%7B%5Cfrac%7B6%7D%7B%5Csqrt%7B3%7D%7D%7D)
![z = -1.5](https://tex.z-dn.net/?f=z%20%3D%20-1.5)
The value of the test statistic is ![z = -1.5](https://tex.z-dn.net/?f=z%20%3D%20-1.5)
Answer:
x=6
Step-by-step explanation:
81^x = 27 ^(x+2)
81 = 3^4 and 27 =3^3 so replace 81 and 27 in the equation
3^4^x = 3^3^(x+2)
When we have a power to a power we can multiply the exponents
a ^b^c = a^(b*c)
3^(4x) = 3^(3*(x+2))
Since the bases are the same, the exponents have to be the same
a^b = a^c means b=c
4x = 3(x+2)
Now we can solve for x
Distribute
4x = 3x+6
Subtract 3x from each side
4x-3x = 3x-3x+6
x = 6
Answer:
Step-by-step explanation:
Let the 3-digit number is <u>abc</u> = 100a + 10b + c.
<u>We have:</u>
- 100a + 10b + c - 100c - 10b - a = 297
- b = a - 6
- a = 2c - 2
<u>Simplify the first equation:</u>
- 99a - 99c = 297
- a - c = 3
- a = c + 3
<u>Solve for c by substitution:</u>
- 2c - 2 = c + 3
- 2c - c = 3 + 2
- c = 5
<u>Find a:</u>
<u>Find b:</u>
<u>The number is:</u>