Answer:
$1,105.08.
Step-by-step explanation:
Given that Alice invests $ 1000 at 2% interest compounded monthly over a 5 year period, assuming no other money is deposited or withdrawn, to determine what is the total amount of money in her account after 5 years, the following calculation must be performed:
X = 1,000 (1 + 0.02 / 12) ^ 5x12
X = 1,105.08
Thus, the amount of money in her account after 5 years would be $ 1,105.08.
The equation of the line is y=6x+37
Step-by-step explanation:
You can write the equation using the slope intercept form techniques which is y=mx+c where m is the slope of the line and cis they intercept constant.
Given the point (-6,1) and slope m=6then
Δy/Δx =m

Answer:
The two numbers of rolls are 25.2 and 46.8.
Step-by-step explanation:
The Chebyshev's theorem states that, if X is a r.v. with mean µ and standard deviation σ, then for any positive number k, we have

Here
Then we know that,
.
Here it is given that mean (µ) = 36 and standard deviation (σ) = 5.4.
Compute the two values between which at least 75% of the contestants lie as follows:

Thus, the two numbers of rolls are 25.2 and 46.8.
We have that
2x²=450 ----------> x²=450/2----------> x=√225
x1=+15
x2=-15
<span>a reasonable length measurement should be positive
</span>therefore
the answer is
<span>The solutions are -15 and 15, but only 15 is a reasonable side length.</span>