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
polet [3.4K]
3 years ago
5

If you put 200 into a CD that pays 9 percent interest compounded quarterly how long will it take for this money to compound acco

rding to the rule of 72
Mathematics
1 answer:
Kobotan [32]3 years ago
7 0
Well the rule is divide 72 into the interest that is 9 in this case so  your answer shall be 8.
You might be interested in
If the slope of a line is -1/4,<br>find x when (x,2) and (1/2,6)​
Alecsey [184]
Use slope formula:
m = (y2-y1) / (x2-x1)
-1/4 = 6-2 / 1/2 - x
-1/4 = 4 / 1/2 - x
-1(1/2 - x) = 4(4)
-1/2 + x = 16

x = 16 1/2 or 33/2
7 0
3 years ago
a line with a slope of 1 passes through the point (5,10). what is the equation in this slope-intercept form?
patriot [66]

Answer:

y=x+5

Step-by-step explanation:

So first you need to plug everything into the point-slope formula which is

y-y1=m(x-x1)

m being the slope and y1 and x1 being the point (5,10)

So once you plug it in it should look like this: y-10=1(x-5)

Now you solve it

First you need to distribute 1 in 1(x-5) which is (x-5)

Now you have y-10=x-5

Then you add 10 to both sides which is y=x+5

Your answer is y=x+5

8 0
3 years ago
Your hourly salary increased from $15 to $22 what is the precent increase in your salary?
Elanso [62]

The percentage increase is 46%.

Original number/start = $15

End number = $22

Increase = $22 - $15 = $7

% increase = Increase ÷ Original Number × 100

Substitute in known values

% increase = 7 ÷ 15 × 100

Divide

% increase = 0.46 × 100

Multiply

% increase = 46%

The percentage increase is 46%.

Find out more information about percentage increase here

brainly.com/question/17447703

#SPJ4

8 0
1 year ago
Use the definition of a Taylor series to find the first three non zero terms of the Taylor series for the given function centere
Ket [755]

Answer:

e^{4x}=e^4+4e^4(x-1)+8e^4(x-1)^2+...

\displaystyle e^{4x}=\sum^{\infty}_{n=0} \dfrac{4^ne^4}{n!}(x-1)^n

Step-by-step explanation:

<u>Taylor series</u> expansions of f(x) at the point x = a

\text{f}(x)=\text{f}(a)+\text{f}\:'(a)(x-a)+\dfrac{\text{f}\:''(a)}{2!}(x-a)^2+\dfrac{\text{f}\:'''(a)}{3!}(x-a)^3+...+\dfrac{\text{f}\:^{(r)}(a)}{r!}(x-a)^r+...

This expansion is valid only if \text{f}\:^{(n)}(a) exists and is finite for all n \in \mathbb{N}, and for values of x for which the infinite series converges.

\textsf{Let }\text{f}(x)=e^{4x} \textsf{ and }a=1

\text{f}(x)=\text{f}(1)+\text{f}\:'(1)(x-1)+\dfrac{\text{f}\:''(1)}{2!}(x-1)^2+...

\boxed{\begin{minipage}{5.5 cm}\underline{Differentiating $e^{f(x)}$}\\\\If  $y=e^{f(x)}$, then $\dfrac{\text{d}y}{\text{d}x}=f\:'(x)e^{f(x)}$\\\end{minipage}}

\text{f}(x)=e^{4x} \implies \text{f}(1)=e^4

\text{f}\:'(x)=4e^{4x} \implies \text{f}\:'(1)=4e^4

\text{f}\:''(x)=16e^{4x} \implies \text{f}\:''(1)=16e^4

Substituting the values in the series expansion gives:

e^{4x}=e^4+4e^4(x-1)+\dfrac{16e^4}{2}(x-1)^2+...

Factoring out e⁴:

e^{4x}=e^4\left[1+4(x-1)+8}(x-1)^2+...\right]

<u>Taylor Series summation notation</u>:

\displaystyle \text{f}(x)=\sum^{\infty}_{n=0} \dfrac{\text{f}\:^{(n)}(a)}{n!}(x-a)^n

Therefore:

\displaystyle e^{4x}=\sum^{\infty}_{n=0} \dfrac{4^ne^4}{n!}(x-1)^n

7 0
1 year ago
Use the Normal model N(1156,59) for the weights of steers.
madam [21]
What weight represents 39th percentile
5 0
3 years ago
Other questions:
  • Write a key word that means equal​
    10·1 answer
  • According to science, Earth is about 4.5 billion years old and written human history extends back about 10,000 years. Suppose yo
    14·2 answers
  • I need help on this problem please
    14·1 answer
  • Helppppppppppppp with 4,5,6
    6·1 answer
  • What is 0.818181818181818181 as a fraction
    13·1 answer
  • Out of 22 players in a team, 10 of them have an average height of 1.50m while another 10 have an average height of 1.48m. The re
    14·2 answers
  • Help help help help help help help help help help help <br><br> Pls
    9·2 answers
  • 2x+3&gt;23<br>Solve the inequality.​
    14·2 answers
  • 13 6
    9·1 answer
  • Can you guys tell me what 6!/3!
    7·2 answers
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!