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3 years ago

What is the resulting balance of $3,500 at 4% compounded annually for 8 years?

Mathematics

1 answer:

Brrunno [24]3 years ago

7 0

Answer:

Step-by-step explanation:

Using the formula for calculating the compound interest

A = P(1+r)^t

P is the principal = $3500

r is the rate = 4% = 0.04

T is the time = 8 years

Substitute

A = 3500(1+0.04)^8

A = 3500(1.04)^8

A = 3500(1.3686)

A = 4,789.99

Hence the resulting balance is $4,789.99

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Opinion needed!!

Savatey [412]

Ap comp science principals is really easy for an ap class, probably because its an intro course, i took it this year, don’t overwhelm yourself id personally take precalc honors

7 0

3 years ago

Determine the number of units of solution 2 required to obtain the desire percent alcohol concentration of the final solution. T

KiRa [710]

Answer:

0.66 gal.

Step-by-step explanation:

The following should apply:

C1 * V1 = C2 * V2

we have that C1 is 0.1, that C2 is 0.3 and that V1 is equal to 2 gal

replacing the values we have that:

0.1 * 2 = 0.3 * V2

reorganizing the equation we have:

V2 = 0.1 * 2 / 0.3 solving this remains 0.66.

It means that the amount of solution 2 is 0.66 gal.

8 0

3 years ago

Not all visitors to a certain company's website are customers. In fact, the website administrator estimates that about 5% of all

Gnom [1K]

Answer:

0.0135 = 1.35% probability that, in a random sample of 4 visitors to the website, exactly 2 actually are looking for the website.

Step-by-step explanation:

For each visitor of the website, there are only two possible outcomes. Either they are looking for the website, or they are not. The probability of a customer being looking for the website is independent of other customers. This means that the binomial probability distribution is used to solve this question.

Binomial probability distribution

The binomial probability is the probability of exactly x successes on n repeated trials, and X can only have two outcomes.

$P(X = x) = C_{n,x}.p^{x}.(1-p)^{n-x}$

In which $C_{n,x}$ is the number of different combinations of x objects from a set of n elements, given by the following formula.

$C_{n,x} = \frac{n!}{x!(n-x)!}$

And p is the probability of X happening.

5% of all visitors to the website are looking for other websites.

So 100 - 5 = 95% are looking for the website, which means that $p = 0.95$

Find the probability that, in a random sample of 4 visitors to the website, exactly 2 actually are looking for the website.

This is P(X = 2) when n = 4. So

$P(X = x) = C_{n,x}.p^{x}.(1-p)^{n-x}$

$P(X = x) = C_{4,2}.(0.95)^{2}.(0.05)^{2} = 0.0135$

0.0135 = 1.35% probability that, in a random sample of 4 visitors to the website, exactly 2 actually are looking for the website.

5 0

2 years ago

Which of these vectors can be written as a linear combination of vector[-6,-4,7,1] and [-4,-3,2,-1]?

borishaifa [10]

Answer:

Step-by-step explanation:

options?

4 0

3 years ago

Alice earns simple interest on a principal of $1,400 at an annual interest rate of 6% for the period of 3 years. What equation s

Greeley [361]

The amount of interest is $252. The equations or represent the relation relationship between p, (r), (t) and (i).

Step-by-step explanation:

The formula of simple interest is

Where, principal amount (p), rate of interest (r), period of investment in years (t), and interest earned (i).

The principal amount is $1,400, interest rate of 6% and the time period of 3 years.

The amount of interest is

Therefore the amount of interest is $252.

The equations or represent the relation relationship between p, (r), (t) and (i).

5 0

2 years ago

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