Answer:
My payment for the 7th study session will be 78125 dimes.
Step-by-step explanation:
My friend will pay me 5 dimes for helping him study for the first time.
Now, I agree to help him if he multiplies my payment by 5 for each study session.
So, he will pay 25 dimes for the 2nd study session, 125 dimes for the 3rd study session and so on.
Hence, my payment in each study session increases in geometric progression as follows:
5, 25, 125, ........ so on.
So, the 7th term of this series indicates the number of dimes that my friend pays me after the 7th study session.
This is a G.P. series having first term 5 and common ratio 5, then the 7th term will be
Therefore, my payment for the 7th study session will be 78125 dimes. (Answer)
Answer:
Step-by-step explanation:
88.18 Lbs or pounds that just a short word for pounds hope this helps
Answer:
Number of permutations = 5040
Step-by-step explanation:
We are given the word 'INNOVATIVE', that has total 10 letters.
Now, we are asked to form words using exactly 4 letters at a time i.e. out of 10 letters we are using 4.
Therefore, the number of permutations that can be formed using 4 letters are = P(10,4)
i.e. ![10_{P_{4} }](https://tex.z-dn.net/?f=10_%7BP_%7B4%7D%20%7D)
= ![\frac{10!}{(10-4)!}](https://tex.z-dn.net/?f=%5Cfrac%7B10%21%7D%7B%2810-4%29%21%7D)
= ![\frac{10!}{6!}](https://tex.z-dn.net/?f=%5Cfrac%7B10%21%7D%7B6%21%7D)
= ![\frac{10*9*8*7*6!}{6!}](https://tex.z-dn.net/?f=%5Cfrac%7B10%2A9%2A8%2A7%2A6%21%7D%7B6%21%7D)
= 10*9*8*7
= 5040
Answer:
The slope is 5 and the y-intercept is at (0, 6)
Step-by-step explanation:
Parallel lines have the same slope, so the slope of the equation is 5. The equation is y = 5x + 6, so the y-intercept is 6.