The amount needed in the account when Frost retires is given by the annuity formula. Compounding is 2 times per year.
.. A = Pi/(n(1 -(1 +r/n)^(-nt)))
.. 17900 = P*.08/(2*(1 -(1 +.08/2)^(-2*12)))
.. 17900 = P*.04/(1 -(1.04^-24))
.. P ≈ 272,920.64
The compound interest formula can be used to find the present value required. 4015 days is 11 years (ignoring leap years), so the amount to deposit can be calculated from
.. A = P*(1 +r/n)^(nt)
.. 272,920.64 = P*(1 +.08/2)^(2*11) = P*1.04^22
.. P ≈ 115,160.33
We don't know about the company's obligation to Robert. To fulfill its obligation to Frost, it must deposit 115,160.33 today.
Answer:
The outlier is:
Point A.
Step-by-step explanation:
We know that an outlier is a point that stands out as compared to the rest of the data points.
Clearly from the scatter plot based on the given points in the question we get tat Point A is an outlier because it attains a different value as compared to the rest of the data points.
Hence, the outlier is:
Point A.
The answer is graph number 2
You have to divide 400 by 5. That will equal 80. Since the ratio is 3:2 Just multiply 3 by 80 then 2 by 80! :-)
You can check it by simplifying it again.
Since both of the angles are supplementary, you'd set the expressions up into an equation equal to 180(degrees).
So, your equation should look like:
22x + 4 + 35x + 5 = 180.
Next, you combine your like terms so that your next move will look like:
57x + 9 = 180.
Then you'd follow the subtraction and division property, so your next moves will look as the following:
57x + 9 - 9 = 180 - 9 equals 171
57x / 57 = 171 / 57 equals 3
So, finally, your answer is: x = 3.
