All categories

1 year ago

Investments increase exponentially by

Mathematics

2 answers:

aleksklad [387]1 year ago

8 0

Answer:

9060$ is the final amount because 7060 is the interest

STatiana [176]1 year 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

Which expression is equivalent to 3/4(x-5y)<br><br>please help!!!

irakobra [83]

Step-by-step explanation:

I think that is the right answer I hope ut helps

8 0

3 years ago

Use any of the methods to determine whether the series converges or diverges. Give reasons for your answer.

Aleks [24]

Answer:

It means $\sum_{n=1}^\inf} = \frac{7n^2-4n+3}{12+2n^6}$ also converges.

Step-by-step explanation:

The actual Series is::

$\sum_{n=1}^\inf} = \frac{7n^2-4n+3}{12+2n^6}$

The method we are going to use is comparison method:

According to comparison method, we have:

$\sum_{n=1}^{inf}a_n\ \ \ \ \ \ \ \ \sum_{n=1}^{inf}b_n$

If series one converges, the second converges and if second diverges series, one diverges

Now Simplify the given series:

Taking"n^2"common from numerator and "n^6"from denominator.

$=\frac{n^2[7-\frac{4}{n}+\frac{3}{n^2}]}{n^6[\frac{12}{n^6}+2]} \\\\=\frac{[7-\frac{4}{n}+\frac{3}{n^2}]}{n^4[\frac{12}{n^6}+2]}$

$\sum_{n=1}^{inf}a_n=\sum_{n=1}^{inf}\frac{[7-\frac{4}{n}+\frac{3}{n^2}]}{[\frac{12}{n^6}+2]}\ \ \ \ \ \ \ \ \sum_{n=1}^{inf}b_n=\sum_{n=1}^{inf} \frac{1}{n^4}$

Now:

$\sum_{n=1}^{inf}a_n=\sum_{n=1}^{inf}\frac{[7-\frac{4}{n}+\frac{3}{n^2}]}{[\frac{12}{n^6}+2]}\\ \\\lim_{n \to \infty} a_n = \lim_{n \to \infty} \frac{[7-\frac{4}{n}+\frac{3}{n^2}]}{[\frac{12}{n^6}+2]}\\=\frac{7-\frac{4}{inf}+\frac{3}{inf}}{\frac{12}{inf}+2}\\\\=\frac{7}{2}$

So a_n is finite, so it converges.

Similarly b_n converges according to p-test.

P-test:

General form:

$\sum_{n=1}^{inf}\frac{1}{n^p}$

if p>1 then series converges. In oue case we have:

$\sum_{n=1}^{inf}b_n=\frac{1}{n^4}$

p=4 >1, so b_n also converges.

According to comparison test if both series converges, the final series also converges.

It means $\sum_{n=1}^\inf} = \frac{7n^2-4n+3}{12+2n^6}$ also converges.

5 0

3 years ago

Anthony received his phone bill in the mail.

leonid [27]

Answer:$133.455

Step-by-step explanation:

5 0

2 years ago

Read 2 more answers

The beads in 7 bracelets if 4 bracelets have 96 bead

Naya [18.7K]

96/4=24 beads in 1 bracelet
beads in 7 bracelets = 24*7=168

3 0

3 years ago

Sometimes, a data set has two values that have the highest and equal frequencies. In this case, the distribution of the data can

Aliun [14]

Answer:

Option D is correct.

Bimodal (Having two modes)

Step-by-step explanation:

- Symmetric distribution is a situation in which the values of variables occur at regular frequencies, and the mean, median and mode occur at the same point.

- In a negatively skewed distribution, the mean is usually less than the median because the few low scores tend to shift the mean to the left.

- In a positively skewed distribution, the mode is always less than the mean and median.

- A bimodal distribution is a continuous probability distribution with two different modes, that is, two different values with the highest and equal frequencies.

8 0

3 years ago

Read 2 more answers