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3 years ago

What is the total amount and the amount of interest earned on $6,500 at 6% for 25 years?

Mathematics

1 answer:

NNADVOKAT [17]3 years ago

5 0

Answer:

Total amount earned after 25 years=$27,897.16

Step-by-step explanation:

Step 1: Express formula for calculating total amount

The total amount after 25 years can be expressed as;

A=P(1+r)^n

where;

A=total amount after 25 years

P=principal amount

r=annual interest rate

n=number of years

Step 2: Substitute values in the expression

In our case;

P=$6,500

r=6%=6/100=0.06

n=25 years

replacing in the original expression;

A=6,500(1+0.06)^25

A=27,897.16

Total amount earned after 25 years=$27,897.16

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2 years ago

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2 years ago

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2 years ago

Question 5

Mice21 [21]

Answer:

The missing value is 2

Step-by-step explanation:

A direct variation satisfies the equation $y=kx$ .

Since the point (-18, 12) lies on this line, it must satisfy this equation.

$\implies 12=-18k$

$k=-\frac{12}{18} =-\frac{2}{3}$

Hence the equation of this line is $y=-\frac{2}{3}x$

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3 years ago

Below are the jersey numbers of 11 players randomly selected from a football team. Find the range, variance, and standard deviat

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Answer:

Range =94

σ² = 1,141.564

Standard Deviation = 33.78703

Step-by-step explanation:

First off to find the range, we find the highest value and subtract it to the lowest value. In this situation the values are:

Highest = 99

Lowest = 5

Range = 99 - 5

Range = 94

Now to find the variance of the sample data set, we first need to find for the mean of the data.

The mean of the data with be the sum of all the numbers in the data set divided by the number of samples.

5 + 14 + 26 + 50 + 60 +72 + 79 + 88 + 93 +94 + 99

That would equal 680

Then you divide the number of samples and that is 11 so the next equation is 680 divided by 11

So the then-

Mean = 61.81818

Now to find the variance we simply use the formula:

σ²= $\frac{(xi - Mean)^{2} }{n-1}$

σ²= $\frac{(5 - 61.818)^{2} + (14 - 61.818)^{2} + (26 - 61.818)^2 + (99 - 61.818)^2} {11-1}$

σ²= $\frac{11,415.64}{10}$

σ²= $1,141.564$

Now to find the standard deviation, we take the variance and get the square root of it.

Standard Deviation= $\sqrt{1,141.564}$

Standard Deviation= $33.78703$

HOPE THIS HELPS :)

6 0

2 years ago