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3 years ago

Use the compound interest formula to find the present value P, for the following given values: A = $11, 200, i = 0.067, n = 120

Mathematics

1 answer:

zaharov [31]3 years ago

8 0

Answer:

The present value for this future value is 4.67$

Step-by-step explanation:

The future value formula is given by:

F = P(1+i)^n, ==>(1 + i) to the power n

By rearranging it for present value and substituting the values, we get 4.67 as our final answer

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The cost to hire a plumber for x hours is shown on the graph. For this graph, what does the y-intercept of the line of best fit

Alenkasestr [34]

The y-intercept represents the flat charge to hire the plumber

Explanation: The y-intercept is 0 hour, which can represent flat charge

5 0

2 years ago

Read 2 more answers

In 2010, there were about 246 million vehicles (cars and trucks) and about 308.7 million people in the United States.1 The numbe

belka [17]

Answer:

2054

Step-by-step explanation:

The equation for the growth of people = 308.7(1097)^x

The equation for the growth of vehicles = 246(1155)^x

If the number of both are equal tham

308.7(1097)^x=246(1155)^x

Dividing both sides by 246

1.254878(1097)^x=(1155)^x

Dividing both sides by (1097)^x

1.254878=(1155÷1097)^x

X=4.406 decades

X=44 years

5 0

3 years ago

triangle ABC is isosceles, angle B is vertex angle , AB = 20x -2, AC =25x, and BC =12 x +20. Find x and the length of each side

lisov135 [29]

Length of AB = 18. 92

Length of AC = 26. 15

Length of BC = 32. 552

<h3>How to determine the sides of the triangle</h3>

Using the Pythagorean theorem, we have that

$(20 x-2)^2 = (12x + 20)^2 + (25x)^2$

Expand the bracket

$400x^2- 4 = 144x^2 + 400 + 625x^2$

Collect like terms

$400x^2 - 144x^2 - 625x^2 = 400 + 4$

$-369x^2 = 404$

Make x^2 subject

$x^2 = \frac{404}{369}$

$x = \sqrt{1.0948}$

$x = 1. 046$

Thus,

Length of AB = 20x -2 = 20(1. 046) - 2 = 18. 92

Length of AC = 25x = 25* 1.046 = 26. 15

Length of BC = 12x + 20 = 12(1. 046) + 20 = 32. 552

Learn more about isosceles triangles here:

brainly.com/question/1475130

#SPJ1

8 0

1 year ago

. Exam scores for a large introductory statistics class follow an approximate normal distribution with an average score of 56 an

Andru [333]

Answer:

0.1% probability that the average score of a random sample of 20 students exceeds 59.5.

Step-by-step explanation:

The Central Limit Theorem estabilishes that, for a random variable X, with mean $\mu$ and standard deviation $\sigma$ , a large sample size can be approximated to a normal distribution with mean $\mu$ and standard deviation $\frac{\sigma}{\sqrt{n}}$

Normal probability distribution

Problems of normally distributed samples can be solved using the z-score formula.

In a set with mean $\mu$ and standard deviation $\sigma$ , the zscore of a measure X is given by:

$Z = \frac{X - \mu}{\sigma}$

The Z-score measures how many standard deviations the measure is from the mean. After finding the Z-score, we look at the z-score table and find the p-value associated with this z-score. This p-value is the probability that the value of the measure is smaller than X, that is, the percentile of X. Subtracting 1 by the pvalue, we get the probability that the value of the measure is greater than X.

In this problem, we have that:

$\mu = 56, \sigma = 5, n = 20, s = \frac{5}{\sqrt{20}} = 1.12$