Answer:
Step-by-step explanation:
Given
The attached graph
Required
Calculate the constant of proportionality.
Represent the required constant with k.
Such that:
Pick any two corresponding values of x and y
This means that:
becomes
Answer:
158⁰is the answer so follow me
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.
6 cases ordered
'p' jars in each case
Total number of jars is (6 cases) x (p jars/case) = 6p jars
Split 7 ways, each restaurant gets (1/7) of the total order = 6p/7 jars.
I sure hope 'p' is a multiple of 7, or else Harrison might
need to deal with the number of pickles in each jar.
Answer:
The area of the sector shown is 4.75 pi
Step-by-step explanation:
First we have to know what fraction of the total circle that part represents
for that we divide 45 by 360
45/360 = 1/8
now we calculate the area of the circle and divide it by 8
a = ( π * 6² ) / 8
a = ( π * 36 ) / 8
a = π * 4.75
a = 4.75 pi
