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Leya [2.2K]
2 years ago
13

3400 dollars is placed in an account with an annual interest rate of 8.25%. How much will be in the account after 25 years, to t

he nearest cent?
Mathematics
1 answer:
avanturin [10]2 years ago
6 0
=3400(1+0.0825/1)^1*25
=3400(1.0825)^25
=3400(7.2560058)
=24670.41

Hope this helps!!!
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7 0
2 years ago
3/4x-2=2/5<br> Rewrite so there is no fractions
jek_recluse [69]

Answer:

15x - 40 = 8

Step-by-step explanation:

3/4x-2=2/5

Multiply each side by 4*5 or 20

20 (3/4x-2=2/5)

15x - 40 = 8

7 0
3 years ago
A survey showed that 77% of us need correction (eyeglasses, contacts, surgery, etc.) for their eyesight. 13 adults are randomly
earnstyle [38]

Using the binomial distribution, it is found that the probability that at least 12 of the 13 adults require eyesight correction is of 0.163 = 16.3%. Since this probability is greater than 5%, it is found that 12 is not a significantly high number of adults requiring eyesight correction.

For each person, there are only two possible outcomes, either they need correction for their eyesight, or they do not. The probability of a person needing correction is independent of any other person, hence, the binomial distribution is used to solve this question.

<h3>What is the binomial distribution formula?</h3>

The formula is:

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

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

The parameters are:

  • x is the number of successes.
  • n is the number of trials.
  • p is the probability of a success on a single trial.

In this problem:

  • A survey showed that 77% of us need correction, hence p = 0.77.
  • 13 adults are randomly selected, hence n = 13.

The probability that at least 12 of them need correction for their eyesight is given by:

P(X \geq 12) = P(X = 12) + P(X = 13)

In which:

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

P(X = 12) = C_{13,12}.(0.77)^{12}.(0.23)^{1} = 0.1299

P(X = 13) = C_{13,13}.(0.77)^{13}.(0.23)^{0} = 0.0334

Then:

P(X \geq 12) = P(X = 12) + P(X = 13) = 0.1299 + 0.0334 = 0.163

The probability that at least 12 of the 13 adults require eyesight correction is of 0.163 = 16.3%. Since this probability is greater than 5%, it is found that 12 is not a significantly high number of adults requiring eyesight correction.

More can be learned about the binomial distribution at brainly.com/question/24863377

7 0
2 years ago
Baby's crib would be about how long? 1 m 2 m 10 m 1 km question #8truefalse score: the length of a small object, such as a penci
Dafna1 [17]
A baby's crib would be about 1 m
False
5m=5,000mm
8cm
7 0
2 years ago
Read 2 more answers
4. A drawing of the top of a desk iS shown.
KATRIN_1 [288]

The area of the top of a desk which is shown and the dimensions of the top is 5 feet and 2 feet, is 10 squared feet.

<h3>What is the area of a rectangle?</h3>

Area of a rectangle is the product of the length of the rectangle and the width of the rectangle. It can be given as,

A=a\times b

Here, (a)is the length of rectangle and (b) is the width of the rectangle

A drawing of the top of a desk is shown.

  • 5 feet
  • 2 feet

The image of drawing ins not given in the problem. Here, the length of the desk is 5 feet and the width of the desk is 2 feet according to the data.

a=5\rm\; feet\\b=2\rm\; feet

Put the values in the above written formula as,

A=5\times 2A=10\rm\; ft^2

Thus, the area of the top of a desk which is shown and the dimensions of the top is 5 feet and 2 feet, is 10 squared feet.

Learn more about the area of rectangle here;

brainly.com/question/11202023

#SPJ1

8 0
2 years ago
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