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White raven [17]
3 years ago
9

You wish to borrow $8000 for debt consolidation. The bank's interest rate for a personal loan is 7.2%. What is your monthly paym

ent if you want to pay off the loan in 3 years?
Mathematics
1 answer:
Lisa [10]3 years ago
3 0
<h3>The monthly payment  is $242.44 for loan to paid off in 3 years.</h3>

Step-by-step explanation:

The amount borrowed = Principal = $8000

The rate of interest = 7.2%

Time (T)  = 3 years

Now, Simple Interest = \frac{P\times R \times T}{100}

\implies SI  = \frac{8000 \times 7.2  \times 3}{100}  = 1,728

So, the total interest = $1728

Now, <u>Amount to be paid  = Principal + Interest</u>

⇒ A = $8000 + $1728  = $8728

Also, 1 year = 12 months

⇒  3 years  = 3 x 12 months  = 36 months

So, total amount to be paid in 36 months is $8728.

⇒The  amount to be paid in 1 month is (\frac{8728}{36} )  = 242.44

Hence, the monthly payment  is $242.44 if loan is to paid off in 3 years.

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Ipatiy [6.2K]

Answer:

We need a sample size of at least 101

Step-by-step explanation:

We have that to find our \alpha level, that is the subtraction of 1 by the confidence interval divided by 2. So:

\alpha = \frac{1-0.99}{2} = 0.005

Now, we have to find z in the Ztable as such z has a pvalue of 1-\alpha.

So it is z with a pvalue of 1-0.005 = 0.995, so z = 2.575

Now, find the margin of error M as such

M = z*\frac{\sigma}{\sqrt{n}}

In which \sigma is the standard deviation of the population and n is the size of the sample.

What sample size is needed to estimate the true average speed to within 2 mph at 99% confidence?

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n is found when M = 2. So

M = z*\frac{\sigma}{\sqrt{n}}

2 = 2.575*\frac{7.8}{\sqrt{n}}

2\sqrt{n} = 2.575*7.8

\sqrt{n} = \frac{2.575*7.8}{2}

(\sqrt{n})^{2} = (\frac{2.575*7.8}{2})^{2}

n = 100.85

Rounding up

We need a sample size of at least 101

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<u>Answer:</u>

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