128*.69=88.32-8.83
128+8.83=136.83
Answer choice B is the answer.
Answer:
Sum of the first five terms of the geometric sequence in which a1=5 and r=1/5 is ![\mathbf{S_n=\frac{781}{125} }](https://tex.z-dn.net/?f=%5Cmathbf%7BS_n%3D%5Cfrac%7B781%7D%7B125%7D%20%7D)
Step-by-step explanation:
We need to find sum of the first five terms of the geometric sequence in which a1=5 and r=1/5
The formula used to find sum of the geometric sequence is: ![S_n=\frac{a(r^n-1)}{r-1}](https://tex.z-dn.net/?f=S_n%3D%5Cfrac%7Ba%28r%5En-1%29%7D%7Br-1%7D)
Where a is the first term, r is the common ratio and n is the number of terms
Now finding sum of the first five terms of the geometric sequence
We have a=5, r=1/5 and n=5
Putting values in the formula:
![S_n=\frac{a(r^n-1)}{r-1}\\S_n=\frac{5((\frac{1}{5}) ^5-1)}{\frac{1}{5}-1}\\S_n=\frac{5(\frac{1}{3125}-1)}{\frac{1-5}{5}}\\S_n=\frac{5(\frac{1-3125}{3125})}{\frac{-4}{5}}\\S_n=\frac{5(\frac{-3124}{3125})}{\frac{-4}{5}}\\S_n=5(\frac{-3124}{3125})}\times{\frac{-5}{4}}\\S_n=\frac{781}{125}](https://tex.z-dn.net/?f=S_n%3D%5Cfrac%7Ba%28r%5En-1%29%7D%7Br-1%7D%5C%5CS_n%3D%5Cfrac%7B5%28%28%5Cfrac%7B1%7D%7B5%7D%29%20%5E5-1%29%7D%7B%5Cfrac%7B1%7D%7B5%7D-1%7D%5C%5CS_n%3D%5Cfrac%7B5%28%5Cfrac%7B1%7D%7B3125%7D-1%29%7D%7B%5Cfrac%7B1-5%7D%7B5%7D%7D%5C%5CS_n%3D%5Cfrac%7B5%28%5Cfrac%7B1-3125%7D%7B3125%7D%29%7D%7B%5Cfrac%7B-4%7D%7B5%7D%7D%5C%5CS_n%3D%5Cfrac%7B5%28%5Cfrac%7B-3124%7D%7B3125%7D%29%7D%7B%5Cfrac%7B-4%7D%7B5%7D%7D%5C%5CS_n%3D5%28%5Cfrac%7B-3124%7D%7B3125%7D%29%7D%5Ctimes%7B%5Cfrac%7B-5%7D%7B4%7D%7D%5C%5CS_n%3D%5Cfrac%7B781%7D%7B125%7D)
So, sum of the first five terms of the geometric sequence in which a1=5 and r=1/5 is ![\mathbf{S_n=\frac{781}{125} }](https://tex.z-dn.net/?f=%5Cmathbf%7BS_n%3D%5Cfrac%7B781%7D%7B125%7D%20%7D)
Answer:
y = 5x + 4
Step-by-step explanation:
Remember, that slope-intercept form is:
y = mx + b
where m is the slope and b is the y-intercept.
We are given that the slope is 5 and that the y-intercept is 4. To find the equation of the line, we can just plug in 5 for m and 4 for b into the equation for slope-intercept form:
y = 5x + 4
And now we have found the equation of the line.
I hope this helps. Happy studying.
Answer:
Total Revenue Function = 7000p - 0.15 p^3
Rate of change per unit price change = 7000 - 0.45 p^2
Step-by-step explanation:
x = 7000 - 0.15 p^2 [Quantity given]
Total Revenue is the total value of receipts from sale. TR = Price X Quantity
TR Function = p.x
= p (7000 - 0.15 p^2) = 7000p - 0.15 p^3
Rate of change in revenue, due to change in price
dTR / dP = 7000 - 0.45 p^2