Answer:
Step-by-step explanation:
a) ![\int\limits^{\infty} _1 {\frac{1}{n^4} } \, dn\\ =\frac{n^{-3} }{-3}](https://tex.z-dn.net/?f=%5Cint%5Climits%5E%7B%5Cinfty%7D%20_1%20%7B%5Cfrac%7B1%7D%7Bn%5E4%7D%20%7D%20%5C%2C%20dn%5C%5C%20%3D%5Cfrac%7Bn%5E%7B-3%7D%20%7D%7B-3%7D)
Substitute limits to get
= ![\frac{1}{3}](https://tex.z-dn.net/?f=%5Cfrac%7B1%7D%7B3%7D)
Thus converges.
b) 10th partial sum =
![\int\limits^{10} _1 {\frac{1}{n^4} } \, dn\\ =\frac{n^{-3} }{-3}](https://tex.z-dn.net/?f=%5Cint%5Climits%5E%7B10%7D%20_1%20%7B%5Cfrac%7B1%7D%7Bn%5E4%7D%20%7D%20%5C%2C%20dn%5C%5C%20%3D%5Cfrac%7Bn%5E%7B-3%7D%20%7D%7B-3%7D)
=![\frac{-1}{3} (0.001-1)\\= 0.333](https://tex.z-dn.net/?f=%5Cfrac%7B-1%7D%7B3%7D%20%280.001-1%29%5C%5C%3D%200.333)
c) Z [infinity] n+1 1 /x ^4 dx ≤ s − sn ≤ Z [infinity] n 1 /x^ 4 dx, (1)
where s is the sum of P[infinity] n=1 1/n4 and sn is the nth partial sum of P[infinity] n=1 1/n4 .
(question is not clear)
Answer:
C = 25 + 3n
Step-by-step explanation:
Andre has a summer job selling magazine subscriptions.
We are told that:
Andy earns $25 per week plus $3 for every subscription he sells.
Let us represent
C = Total amount of money he makes this week
n = the number of magazine subscriptions Andre sells this week.
Hence, Our Algebraic expression =
C = $25 + $3 × n
C = 25 + 3n
<h2>answer is option C </h2>
here is your answer
<h3>mark as brilliant </h3><h2>and like pls in my answer</h2>
<h3>if u want complete solution pls message me</h3>
<h3 />
Answer:
A)
is the expression to represent total amount of money she earns babysitting for Smith family.
B)
she will earn for Smith family for 7 hours
C) It would take
for Margie to make
when babysitting for the Smith family
Step-by-step explanation:
Given.
Mr. and Mrs. Smith pay Margie
an hour to babysit their son, Shea.
Mr. and Mrs. Jones pay Margie $8 an hour to babysit their children, Sarah, Susan, and Dawn.
Let x be number of hours.
Solving for Part A.
Amount of Money earn from Smith family = Pay per hour
Number of hours =![\$ 6.5 \times x= \$ 6.5x](https://tex.z-dn.net/?f=%5C%24%206.5%20%5Ctimes%20x%3D%20%5C%24%206.5x)
Solving for Part B.
x=7
Margie earns from smith family for 7 hours = ![\$ 6.5x=\$6.5\times7=\$45.5](https://tex.z-dn.net/?f=%5C%24%206.5x%3D%5C%246.5%5Ctimes7%3D%5C%2445.5)
Solving for part C.
Margie earned = ![\$ 78](https://tex.z-dn.net/?f=%5C%24%2078)
To find number of hours
No of hour Margie has done babysitting for Smith family