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
prisoha [69]
2 years ago
11

Investments increase exponentially by

Mathematics
2 answers:
aleksklad [387]2 years ago
8 0

Answer:

9060$ is the final amount because 7060 is the interest

STatiana [176]2 years ago
6 0

The amount of money after 45 years will be $64,060.

<h3>What is compound interest?</h3>

Compound interest is the interest on a loan or deposit calculated based on the initial principal and the accumulated interest from the previous period.

We know that the compound interest is given as

A = P(1 + r)ⁿ

Where A is the amount, P is the initial amount, r is the rate of interest, and n is the number of years.

Investments increase exponentially by about 26% every 3 years.

If you made a $2,000 investment.

Then the equation will be

\rm A = 2000 \times \left (1.26 \right )^{\frac{t}{3}}

Where t is the number of years.

Then the amount of money after 45 years will be

\rm A = 2000 \times \left (1.26 \right )^{\frac{45}{3}}

Simplify the equation, then we have

A = 2000 × (1.26)¹⁵

A = 2000 × 32.03

A = $64,060

More about the compound interest link is given below.

brainly.com/question/25857212

#SPJ1

You might be interested in
For the differential equation 3x^2y''+2xy'+x^2y=0 show that the point x = 0 is a regular singular point (either by using the lim
Svetlanka [38]
Given an ODE of the form

y''(x)+p(x)y'(x)+q(x)y(x)=f(x)

a regular singular point x=c is one such that p(x) or q(x) diverge as x\to c, but the limits of (x-c)p(x) and (x-c)^2q(x) as x\to c exist.

We have for x\neq0,

3x^2y''+2xy'+x^2y=0\implies y''+\dfrac2{3x}y'+\dfrac13y=0

and as x\to0, we have x\cdot\dfrac2{3x}\to\dfrac23 and x^2\cdot\dfrac13\to0, so indeed x=0 is a regular singular point.

We then look for a series solution about the regular singular point x=0 of the form

y=\displaystyle\sum_{n\ge0}a_nx^{n+k}

Substituting into the ODE gives

\displaystyle3x^2\sum_{n\ge0}a_n(n+k)(n+k-1)x^{n+k-2}+2x\sum_{n\ge0}a_n(n+k)x^{n+k-1}+x^2\sum_{n\ge0}a_nx^{n+k}=0

\displaystyle3\sum_{n\ge2}a_n(n+k)(n+k-1)x^{n+k}+3a_1k(k+1)x^{k+1}+3a_0k(k-1)x^k
\displaystyle+2\sum_{n\ge2}a_n(n+k)x^{n+k}+2a_1(k+1)x^{k+1}+2a_0kx^k
\displaystyle+\sum_{n\ge2}a_{n-2}x^{n+k}=0

From this we find the indicial equation to be

(3(k-1)+2)ka_0=0\implies k=0,\,k=\dfrac13

Taking k=\dfrac13, and in the x^{k+1} term above we find a_1=0. So we have

\begin{cases}a_0=1\\a_1=0\\\\a_n=-\dfrac{a_{n-2}}{n(3n+1)}&\text{for }n\ge2\end{cases}

Since a_1=0, all coefficients with an odd index will also vanish.

So the first three terms of the series expansion of this solution are

\displaystyle\sum_{n\ge0}a_nx^{n+1/3}=a_0x^{1/3}+a_2x^{7/3}+a_4x^{13/3}

with a_0=1, a_2=-\dfrac1{14}, and a_4=\dfrac1{728}.
6 0
4 years ago
How to find the volume of water
soldier1979 [14.2K]
Steps on finding the volume of water :
1. volume . pour enough water from your cup into the graduated cylinder. 
2. density . calculate the density  by using the formula D=M/V . record the density in (g/m ) ^3 . 
3. identify the samples . compare the values for density you calculated to the values in a chart.
3 0
3 years ago
7. Find the value of x in the triangle.<br> 15°
AnnyKZ [126]

Answer:

33 degress

hope i helped :)

Step-by-step explanation:

7 0
4 years ago
What is 2.79 multiplied by 5.6
Ainat [17]

Answer:

15.624

Step-by-step explanation:

5 0
3 years ago
What is the answer to -5( 8g + -4 )​
choli [55]

Answer:

-40g+20

Step-by-step explanation:

-5(8g-4)

-40g+20

6 0
3 years ago
Read 2 more answers
Other questions:
  •  Convert the fraction to a decimal and then classify the type of decimal.
    10·2 answers
  • Write the statement for the problem in mathematical language. Use x for the tens digit and y for the unit digits in the two digi
    15·1 answer
  • In a 30° - 60° - 90° right triangle, the hypotenuse has a length of 8. what is the length of the longer leg?
    9·1 answer
  • Evaluate the expression using the order of operations.<br><br> 14 + (40 - 6) ÷ 2
    6·2 answers
  • Type the number in scientific notation<br> 6,500
    10·1 answer
  • Please help!
    15·1 answer
  • What is the slope of the equation that passes through the points (2,0) and (-4,2)
    6·1 answer
  • Identify the domain and range of the relation is the relation a function?
    5·1 answer
  • I do not know this answer
    5·1 answer
  • 1/2(4x+5)=9x-12(x-1)
    6·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!