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olya-2409 [2.1K]
3 years ago
12

If you save $3,000 at an interest rate of 14 percent per year, how much will you have at the end of six years? The interest shou

ld be compounded. A. $5,805.96 B. $6,502.34 C. $6,584.91
Mathematics
1 answer:
Musya8 [376]3 years ago
7 0

<em>Answer:</em>

<em />

<em>C.) $6,584.91</em>

<em></em>

<em>Step-by-step explanation:</em>

<em />

<em>Amount earned in compound interest = P(1 + r)^n; </em>

<em>where P is the principal, </em>

<em>r is the rate and n is the number of periods.</em>

<em />

<em> </em>

<em>Amount = 3,000(1 + 14%)^6 = 3,000(1 + 0.14)^6 = 3,000(1.14)^6 = </em><u><em>$6,584.91</em></u>

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Scores of an IQ test have a​ bell-shaped distribution with a mean of and a standard deviation of . Use the empirical rule to det
Oduvanchick [21]

Complete question is;

Scores of an IQ test have a​ bell-shaped distribution with a mean of 100 and a standard deviation of 13. Use the empirical rule to determine the following.

​(a) What percentage of people has an IQ score between 87 and 113​?

​(b) What percentage of people has an IQ score less than 74 or greater than 126​? ​

(c) What percentage of people has an IQ score greater than 139​?

Answer:

A) 68% of the people had an IQ score between 87 and 113

B) 5% of the people had IQ scores less than 74 and greater than 126.

C) 0.15% had an IQ score greater than 139

Step-by-step explanation:

We are given;

Mean; x¯ = 100

Standard deviation; σ = 13

According to the empirical rule in statistics;

>> 68% of the data lies within one standard deviation of the mean

>> 95% of the data lies within two standard deviations of the mean

>> 99.7% of the data lies within three standard deviations

A) We want to find the percentage of people with an IQ score between 87 and 113.

Within one standard deviation, we have;

x¯ ± σ

>> (100 - 13), (100 + 13)

>> (87, 113) which is the range we are looking for.

Thus, 68% of the people had an IQ score between 87 and 113

B) we want to find percentage of people has an IQ score less than 74 or greater than 126.

Let's first find those who had between 74 and 126.

Let's use two standard deviations within the mean.

x¯ ± 2σ

>> (100 - (2×13)), (100 + (2×13))

>> (74, 126) which is the range we are looking for.

So percentage that have IQ scores between 74 and 126 is 95%

Thus;

Percentage of those who had less than 74 and greater than 126 is;

P = 1 - 95%

P = 5%

C) we want to find the percentage of people that had an IQ score greater than 139.

Let's use the z-score formula;

z = (x¯ - μ)/σ

z = (139 - 100)/13

z = 39/13

z = 3

This means it is 3 standard deviations above the mean.

Thus;

Since it's one side outside the mean, then;

Percentage of people with an IQ score greater than 139 = (1 - 99.7%)/2 = 0.3%/2 = 0.15%

5 0
3 years ago
Find the average rate of change for the function f(x)=3.2 + 25
wel

The average rate of change of the function is: 3.2.

<h3>What is the Average Rate of Change for a Function?</h3>

Average rate of change = \frac{f(b) - f(a)}{b - a}

Given the function, f(x) = 3.2x + 25, the average rate of change over the interval of x = 2 to x = 6 would be calculated as shown below:

a = 2

b = 6

f(a) = f(2) = 3.2(2) + 25 = 31.4

f(b) = f(6) = 3.2(6) + 25 = 44.2

Average rate of change = (44.2 - 31.4)/(6 - 2) = 3.2.

Learn more about average rate of change on:

brainly.com/question/11627203

3 0
2 years ago
A complex number z_1z 1 ​ z, start subscript, 1, end subscript has a magnitude |z_1|=6∣z 1 ​ ∣=6vertical bar, z, start subscript
aliina [53]

Answer:

The answer is "\bold{9.19- 9.19\ i}"

Step-by-step explanation:

When the value of z_1 has the following properties:

\to |z_1| =13

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Calculating the value of z_1 :

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3 years ago
Mathematics of inequality
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An

chọn  A

Step-by-step explanation:

3x-5>=  4x-3

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2 years ago
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Answer:

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Step-by-step explanation:

28 divided by 7 is 4.

5 times 4 is 20.

20 out of 28 games.

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2 years ago
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