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telo118 [61]
2 years ago
13

You have just taken out a $2,650 loan from your local bank. You paid off the loan in 1 year by making 12 monthly payments with a

total interest charge of $300.00. Determine, from the information given, the annual percentage rate (APR). Round your answer to the nearest hundredth of a percent.
Mathematics
2 answers:
Nastasia [14]2 years ago
4 0

Answer:

20.33%

Step-by-step explanation:

Principal = $2650

Total Interest = $300

Total amount = 42650+$300=$2950

Since we are given that You paid off the loan in 1 year by making 12 monthly payments

So, monthly payment = \frac{2950}{12} =245.833

Formula of monthly payment = \text{Monthly payment }= \frac{Principal \times \frac{i}{12}}{1-(1+\frac{i}{12})^{-12}}

where i is the rate of interest in decimals

To find i substitute the values

245.833= \frac{2650 \times \frac{i}{12}}{1-(1+\frac{i}{12})^{-12}}

using calculator

i=0.2033

So, rate of interest in percent = 0.2033 \times 100 = 20.33\%

Thus the annual percentage rate (APR) is 20.33%

UNO [17]2 years ago
4 0
The interest generated in one year = $300
Amount borrowed = $2,650

Interest rate: 300/2650 x 100
Interest rate = 11.32% annually

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A study is conducted to determine whether a new cancer drug increases the mean survival time by at least 30 days for a certain t
anygoal [31]

Answer:

H0: The new cancer drug increases the mean survival time by 30 days

Ha: The new cancer drug increases the mean survival time by 30 or more than 30 days.

If fail to reject H0 (the null hypothesis), the conclusion is that the new cancer drug increases the mean survival time by 30 days.

Step-by-step explanation:

The null hypothesis is a statement from a population parameter which is either rejected or accepted (fail to reject) upon testing. It is expressed using the equality sign.

The alternate hypothesis is also a statement from a population parameter which negates the null hypothesis and is accepted if the null hypothesis is rejected. It is expressed using any of the inequality signs.

The test is a two-tailed test because the alternate hypothesis is expressed using more than or equal to.

If I fail to reject H0, it means the test statistic falls within the region bounded by the critical values.

It would therefore be concluded that the new cancer drug increases the mean survival time by 30 days.

8 0
2 years ago
The following formula for the sum of the cubes of the first n integers is proved in Appendix E. Use it to evaluate the limit in
Marina86 [1]

Answer:

\lim_{n\to\infty} (1+ \frac{2}{n} +\frac{1}{n^2})

And when we apply the limit we got that:

\lim_{n\to\infty} (1+ \frac{2}{n} +\frac{1}{n^2}) =1

Step-by-step explanation:

Assuming this complete problem: "The following formula for the sum of the cubes of the first n integers is proved in Appendix E. Use it to evaluate the limit . 1^3+2^3+3^3+...+n^3=[n(n+1)/2]^2"

We have the following formula in order to find the sum of cubes:

\lim_{n\to\infty} \sum_{n=1}^{\infty} i^3

We can express this formula like this:

\lim_{n\to\infty} \sum_{n=1}^{\infty}i^3 =\lim_{n\to\infty} [\frac{n(n+1)}{2}]^2

And using this property we need to proof that: 1^3+2^3+3^3+...+n^3=[n(n+1)/2]^2

\lim_{n\to\infty} [\frac{n(n+1)}{2}]^2

If we operate and we take out the 1/4 as a factor we got this:

\lim_{n\to\infty} \frac{n^2(n+1)^2}{n^4}

We can cancel n^2 and we got

\lim_{n\to\infty} \frac{(n+1)^2}{n^2}

We can reorder the terms like this:

\lim_{n\to\infty} (\frac{n+1}{n})^2

We can do some algebra and we got:

\lim_{n\to\infty} (1+\frac{1}{n})^2

We can solve the square and we got:

\lim_{n\to\infty} (1+ \frac{2}{n} +\frac{1}{n^2})

And when we apply the limit we got that:

\lim_{n\to\infty} (1+ \frac{2}{n} +\frac{1}{n^2}) =1

3 0
2 years ago
There are 16 cats and 14 dogs in a local animal shelter. Which phrase describes a ratio relationship between the two quantities?
Tcecarenko [31]
They are comparing the number of cats in teh shelter to the number of dogs in the shelter.
6 0
2 years ago
Read 2 more answers
Solve for x if 2(5x+2)^2=48
likoan [24]
2(5x + 2)^2 = 48
divide both sides by 2
(5x + 2)^2 = 24
square root both sides to clear the power of two.
5x + 2 = + - sqrt24
subtract 2 from both sides
5x = -2 + - sqrt 24
divide both sides by 5
x = (-2 +-sqrt24)/5 or decimal answers .58 and -1.38
7 0
2 years ago
Read 2 more answers
Maria has $2.43 in quarters and pennies in her wallet. She has twice as many pennies as quarters. How many coins of each type do
user100 [1]

Given maria has \\\$ 2.43 in the pennies & quarters.

she has twice as many pennies  as quarters.

find out the coins

let us assume the  quarters are x

than the pennies are 2x.

Formula

 value of the pennies +  value of the quarters = total value of coins

1 quarters =$ 0.25

1 pennies = $0.01

Thus

0.25x + 0.01 (2x) = 2.43

0.27 x = 2.43

x = 9

2x = 18

i.e the number of quarters are 9 and the number of pennies are 18.

Hence proved





5 0
2 years ago
Read 2 more answers
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