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aksik [14]
3 years ago
11

Ryan has an eight-year loan for $6,000. He is being charged an interest rate of 5 percent, compounded annually. Calculate the to

tal amount that he will pay.
Mathematics
1 answer:
nikitadnepr [17]3 years ago
5 0
Given:
Principal : $6,000
Interest Rate: 5%
Term : 8 years, compounded annually.

The term compounded annually is a hint that informs us to use the compounded interest formula instead of the simple interest formula.

Compounded interest formula is: 

A = P(1 + r/n)^nt

where:
A = future value of loan or investment including the interest
P = principal
r = rate
n = the number of times the interest is compounded per year
t = the number of years the money is borrowed or invested

A = P (1 + r/n)^nt
A = 6,000 (1 + 0.05/1)¹ * ⁸
A = 6,000 (1.05)⁸
A = 6,000 (1.48)
A = 8,880

The total amount Ryan will pay after 8 years is $8,880.00
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meriva

Answer:

  103,000

Step-by-step explanation:

Use your knowledge of decimal arithmetic. Or, use a calculator.

  100,000(1 +.03) = 100,000·1.03 = 1000·103 = 103,000

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3 years ago
Solve the equation by the Quadratic Formula. Round to the nearest tenth, if necessary. Write your solutions from least to greate
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I hope the choices for the numerators of the solutions are given.

I am showing the complete work to find the solutions of this equation , it will help you to find an answer of your question based on this solution.

The standard form of a quadratic equation is :

ax² + bx + c = 0

And the quadratic formula is:

x=\frac{-b\pm\sqrt{b^2-4ac}}{2a}

So, first step is to compare the given equation with the above equation to get the value of a, b and c.

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Next step is to plug in these values in the above formula. Therefore,

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So,

Hope this helps you!

3 0
2 years ago
In a shipment of 56 vials, only 13 do not have hairline cracks. If you randomly select 3 vials from the shipment, in how many wa
Elden [556K]

Answer: 27434

Step-by-step explanation:

Given : Total number of vials = 56

Number of vials that do not have hairline cracks = 13

Then, Number of vials that have hairline cracks =56-13=43

Since , order of selection is not mattering here , so we combinations to find the number of ways.

The number of combinations of m thing r things at a time is given by :-

^nC_r=\dfrac{n!}{r!(n-r)!}

Now, the number of ways to select at least one out of 3 vials have a hairline crack will be :-

^{13}C_2\cdot ^{43}C_{1}+^{13}C_{1}\cdot ^{43}C_{2}+^{13}C_0\cdot ^{43}C_{3}\\\\=\dfrac{13!}{2!(13-2)!}\cdot\dfrac{43!}{1!(42)!}+\dfrac{13!}{1!(12)!}\cdot\dfrac{43!}{2!(41)!}+\dfrac{13!}{0!(13)!}\cdot\dfrac{43!}{3!(40)!}\\\\=\dfrac{13\times12\times11!}{2\times11!}\cdot (43)+(13)\cdot\dfrac{43\times42\times41!}{2\times41!}+(1)\dfrac{43\times42\times41\times40!}{6\times40!}\\\\=3354+11739+12341=27434

Hence, the required number of ways =27434

5 0
3 years ago
I have 811 handkerchief in all, and need 25 for one quilt. How many quilts can I make and how many handkerchief will be left ove
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Answer:

32 with 11 handkerchief left over

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Number of quits

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5 0
3 years ago
Read 2 more answers
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nirvana33 [79]

Answer:

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Step-by-step explanation:

Central Limit Theorem

The Central Limit Theorem establishes that, for a normally distributed random variable X, with mean \mu and standard deviation \sigma, the sampling distribution of the sample means with size n can be approximated to a normal distribution with mean \mu and standard deviation s = \frac{\sigma}{\sqrt{n}}.

For a skewed variable, the Central Limit Theorem can also be applied, as long as n is at least 30.

Mean of 78 and a standard deviation of 6

This means that \mu = 78, \sigma = 6

Samples of n:

This means that the standard deviation is:

s = \frac{\sigma}{\sqrt{n}} = \frac{6}{\sqrt{n}}

What are the mean, standard deviation, and shape of the distribution of x-bar for n?

By the Central Limit Theorem, the mean is 78, the standard deviation is s = \frac{6}{\sqrt{n}} and the shape is approximately normal.

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