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
goldenfox [79]
3 years ago
11

If Sam invested $3,000 and he earned $300 over six months, the principal is _____.

Mathematics
1 answer:
Ann [662]3 years ago
4 0
A principal is the amount of money you invested or deposited, so in this case, the principal is $3,000,
(and the net amount of money you earn is the interest, that is $300 in this one.) 

You might be interested in
What is the least common denominator of the rational expressions below? 4/x^2-7x + 1/x^2-4x-21
AleksAgata [21]

Answer:

x-7

Step-by-step explanation:

1. Find the GCF of x^2-7x (which is x) and factor x^2-4x-21

2. Multiply 1/(x-7)(x+) by x and 4/x(x-7) by (x+3) to get (x-7) as both denominators

3 0
2 years ago
Consider the series ∑n=1[infinity]2nn!nn. Evaluate the the following limit. If it is infinite, type "infinity" or "inf". If it d
Vikki [24]

I guess the series is

\displaystyle\sum_{n=1}^\infty\frac{2^nn!}{n^n}

We have

\displaystyle\lim_{n\to\infty}\left|\frac{\frac{2^{n+1}(n+1)!}{(n+1)^{n+1}}}{\frac{2^nn!}{n^n}}\right|=2\lim_{n\to\infty}\left(\frac n{n+1}\right)^n

Recall that

e=\displaystyle\lim_{n\to\infty}\left(1+\frac1n\right)^n

In our limit, we have

\dfrac n{n+1}=\dfrac{n+1-1}{n+1}=1-\dfrac1{n+1}

\left(\dfrac n{n+1}\right)^n=\dfrac{\left(1-\frac1{n+1}\right)^{n+1}}{1-\frac1{n+1}}

\implies\displaystyle2\lim_{n\to\infty}\left(\frac n{n+1}\right)^n=2\frac{\lim\limits_{n\to\infty}\left(1-\frac1{n+1}\right)^{n+1}}{\lim\limits_{n\to\infty}\left(1-\frac1{n+1}\right)}=\frac{2e}1=2e

which is greater than 1, which means the series is divergent by the ratio test.

On the chance that you meant to write

\displaystyle\sum_{n=1}^\infty\frac{2^n}{n!n^n}

we have

\displaystyle\lim_{n\to\infty}\left|\frac{\frac{2^{n+1}}{(n+1)!(n+1)^{n+1}}}{\frac{2^n}{n!n^n}}\right|=2\lim_{n\to\infty}\frac1{(n+1)^2}\left(\frac n{n+1}\right)^2

=\displaystyle2\left(\lim_{n\to\infty}\frac1{(n+1)^2}\right)\left(\lim_{n\to\infty}\left(\frac n{n+1}\right)^n\right)=2\cdot0\cdot e=0

which is less than 1, so this series is absolutely convergent.

6 0
3 years ago
How is shading a grid to show 1/10 different than 1/100
gayaneshka [121]
They are very different 1/10 is equivalent to 10% and also 0.1 but 1/100 is equivalent to 1% and 0.01
7 0
3 years ago
Anyone know how to do this?!!
iren2701 [21]

Answer:

slope is -1/4

Step-by-step explanation:

\frac{-4}{12}=\frac{-1}{4}

\frac{-2}{8}= \frac{-1}{4}

and so on...

formula: \frac{x}{y}

hope this helps!!!

6 0
3 years ago
Determine the value
neonofarm [45]
The answer: x is equal to 50
6 0
4 years ago
Read 2 more answers
Other questions:
  • How would l do this one plz help need to get this done
    14·1 answer
  • Hi please somebody help me
    12·1 answer
  • Find the 15th term of the arithmetic sequence.
    6·2 answers
  • Which of these is a trinomial?
    9·2 answers
  • On a protractor there are two scales read 1 scale to find 44 what is the measure on the scale
    14·1 answer
  • Look At the top. I need answers!!!!!
    12·1 answer
  • What is the solution for the system of equations? <br> y= 2x - 3<br> 4x - 3y = 31
    15·2 answers
  • Study the diagram of circle B. Points C, R, and V lie on circle B. The radius, BC¯¯¯¯¯¯¯¯, and the diameter, VR¯¯¯¯¯¯¯¯, are dra
    7·1 answer
  • Trudy takes out an easy access loan for $500.It cost her $10 for every $100 and a one-time fee of $150.How much did it cost Trud
    11·1 answer
  • Question 1 (1 point)
    11·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!