1answer.
Ask question
Login Signup
Ask question
All categories
  • English
  • Mathematics
  • Social Studies
  • Business
  • History
  • Health
  • Geography
  • Biology
  • Physics
  • Chemistry
  • Computers and Technology
  • Arts
  • World Languages
  • Spanish
  • French
  • German
  • Advanced Placement (AP)
  • SAT
  • Medicine
  • Law
  • Engineering
Savatey [412]
3 years ago
8

Jack paid $560 in fees for a certain duration of club membership dues. The admission fee of the club was $200, and Jack has to p

ay $30 per month to continue his membership. The function for his club fees is given.

Mathematics
2 answers:
kherson [118]3 years ago
8 0

Answer:

12 months

Step-by-step explanation:

3241004551 [841]3 years ago
4 0

Answer:

12 months or a year

Step-by-step explanation:

I'm guessing you need to know the duration of his membership?

560= 30x + 200

x= months

560 -200 = 360

360/30 = 12 months = 1 year

You might be interested in
Use the order pairs to write a function rule. Give the tule in slope-intercept form.
topjm [15]

to get the equation of any straight line, we simply need two points off of it, so hmmm let's use say (-1 , -1.25) and (8 , -3.5)

(\stackrel{x_1}{-1}~,~\stackrel{y_1}{-1.25})\qquad (\stackrel{x_2}{8}~,~\stackrel{y_2}{-3.5}) \\\\\\ \stackrel{slope}{m}\implies \cfrac{\stackrel{rise} {\stackrel{y_2}{-3.5}-\stackrel{y1}{(-1.25)}}}{\underset{run} {\underset{x_2}{8}-\underset{x_1}{(-1)}}}\implies \cfrac{-3.5+1.25}{8+1}\implies \cfrac{-2.25}{9}\implies -\cfrac{~~ \frac{225}{100}~~}{\frac{9}{1}} \\\\\\ -\cfrac{225}{100}\cdot \cfrac{1}{9}\implies -\cfrac{9}{4}\cdot \cfrac{1}{9}\implies -\cfrac{1}{4}

\begin{array}{|c|ll} \cline{1-1} \textit{point-slope form}\\ \cline{1-1} \\ y-y_1=m(x-x_1) \\\\ \cline{1-1} \end{array}\implies y-\stackrel{y_1}{(-1.25)}=\stackrel{m}{-\cfrac{1}{4}}(x-\stackrel{x_1}{(-1)}) \\\\\\ y+1.25=-\cfrac{1}{4}(x+1)\implies y+\cfrac{5}{4}=-\cfrac{1}{4}x-\cfrac{1}{4} \\\\\\ y=-\cfrac{1}{4}x-\cfrac{1}{4}-\cfrac{5}{4}\implies y=-\cfrac{1}{4}x-\cfrac{6}{4}\implies y=-\cfrac{1}{4}x-\cfrac{3}{2}

3 0
2 years ago
Please help! It’s for a test, I’ll also give brainliest!
wolverine [178]
True
Because 9 is a odd number as of 1,3,5 are
4 0
3 years ago
What is the rule for the pair?
mylen [45]
2
to work it out just go output f (x) - input x so, 3 - 1 = 2 and double check this using your next equations 4 - 2 = 2
5 0
3 years ago
Find the Maclaurin series for f(x) using the definition of a Maclaurin series. [Assume that f has a power series expansion. Do n
aliya0001 [1]

Answer:

f(x)=\sum_{n=1}^{\infty}(-1)^{(n-1)}2^{n}\dfrac{x^n}{n}

Step-by-step explanation:

The Maclaurin series of a function f(x) is the Taylor series of the function of the series around zero which is given by

f(x)=f(0)+f^{\prime}(0)x+f^{\prime \prime}(0)\dfrac{x^2}{2!}+ ...+f^{(n)}(0)\dfrac{x^n}{n!}+...

We first compute the n-th derivative of f(x)=\ln(1+2x), note that

f^{\prime}(x)= 2 \cdot (1+2x)^{-1}\\f^{\prime \prime}(x)= 2^2\cdot (-1) \cdot (1+2x)^{-2}\\f^{\prime \prime}(x)= 2^3\cdot (-1)^2\cdot 2 \cdot (1+2x)^{-3}\\...\\\\f^{n}(x)= 2^n\cdot (-1)^{(n-1)}\cdot (n-1)! \cdot (1+2x)^{-n}\\

Now, if we compute the n-th derivative at 0 we get

f(0)=\ln(1+2\cdot 0)=\ln(1)=0\\\\f^{\prime}(0)=2 \cdot 1 =2\\\\f^{(2)}(0)=2^{2}\cdot(-1)\\\\f^{(3)}(0)=2^{3}\cdot (-1)^2\cdot 2\\\\...\\\\f^{(n)}(0)=2^n\cdot(-1)^{(n-1)}\cdot (n-1)!

and so the Maclaurin series for f(x)=ln(1+2x) is given by

f(x)=0+2x-2^2\dfrac{x^2}{2!}+2^3\cdot 2! \dfrac{x^3}{3!}+...+(-1)^{(n-1)}(n-1)!\cdot 2^n\dfrac{x^n}{n!}+...\\\\= 0 + 2x -2^2  \dfrac{x^2}{2!}+2^3\dfrac{x^3}{3!}+...+(-1)^{(n-1)}2^{n}\dfrac{x^n}{n}+...\\\\=\sum_{n=1}^{\infty}(-1)^{(n-1)}2^n\dfrac{x^n}{n}

3 0
3 years ago
What is the total number of outcomes for choosing a numbered card from 1 to 10 and a number on a
ycow [4]

the total number of out comes would be 16^2 or 256.

some extra things...

A numbered card from 1 - 10 would be 1 over 10 or 10% chance of picking correctly.

a number cube from 1 - 6 would be 1 over 6 or 16.66% chance of picking correctly.

if you want to combine these and pick one from both, it becomes 1 over 16 or 6.25% chance of picking both correctly.

7 0
2 years ago
Other questions:
  • a recipe calls for 5/8 cups of butter. Angie wants to triple the recipe but she has only 1 7/8 cups of butter
    13·1 answer
  • Estimate the product by rounding 2×6,254
    13·1 answer
  • slader The magnitude of earthquakes recorded in a region of North America can be modeled ashaving an exponential distribution wi
    11·1 answer
  • an arc subtends a central angle measuring 2pi/3 radians. what fraction of the circumference is this arc?
    7·1 answer
  • What are the roots of the equation x^2-3x+1=0
    8·1 answer
  • <img src="https://tex.z-dn.net/?f=x%5E%7B2%7D%20-12%3D-4x" id="TexFormula1" title="x^{2} -12=-4x" alt="x^{2} -12=-4x" align="abs
    5·1 answer
  • Solve the following equation, and check your solution. Be sure to show all work please :)
    13·2 answers
  • I don't know what this is. please, help me.
    9·1 answer
  • Select the correct answer.
    7·1 answer
  • How i can answer this question
    11·2 answers
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!