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iogann1982 [59]
4 years ago
15

Assume the monthly interest rate is 1/12 of the annual interest rate . you maintain an average balance of $450 on your credit ca

rd . which carries a 24% annual interest rate .
Question= 1).What is the monthly interest payment .
Mathematics
1 answer:
masya89 [10]4 years ago
3 0

Answer:

The monthly interest payment would be $ 9

Step-by-step explanation:

Given,

The average balance of the credit card = $ 450,

Annual rate of interest = 24%,

∵ Monthly interest rate is 1/12 of the annual interest rate,

Thus, the monthly interest rate = \frac{1}{12}\text{ of }24\%

=2\%

Hence, the monthly interest payment = 2% of credit card balance

= 2% of 450

=\frac{2\times 450}{100}

=\frac{90}{10}

= $ 9

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Assume that a random sample of 4 Goldfinch birds are going to be used to test the above hypothesis. Compute the largest value of
Misha Larkins [42]

This question is incomplete, the complete question is;

Assume that body masses of Goldfinch birds follow a normal distribution, with a standard deviation equal to 0.04 oz. An ornithologist who would like to make some inference about the average body mass of the Goldfinch birds. In particular, at a significance level of 0.01, she would like to test the null hypothesis H₀: Average body mass of the Goldfinch birds is 0.5 oz, against the alternative claim that average body size is less than 0.5 oz.

      Assume that a random sample of 4 Goldfinch birds are going to be used to test the above hypothesis. Compute the largest value of the sample mean, that will allow the experimenter reject the null and prove the alternative at significance level 0.01. For this problem, make sure that your solution includes all steps of your computation. You will not earn points if you just use a formula

Answer: the largest value of the sample mean that will enable the experimenter to reject the null hypothesis is 0.4534 oz.

Step-by-step explanation:

Let us consider testing a hypothesis about a population mean with population standard deviation that is known,

Let the average body mass of the Goldfinch bird be μ^μ

Now our hypotheses are will be;

H₀ : μ = 0.5    and

H₁ : μ < 0.5

For the test, we shall use the z statistic which will be

z = (x"-μ)/(σ/√n)

Now given that;

σ = 0.04 and n = 4  

sample mean x" = ?

Now in order to be able to reject the null hypothesis, the p-value should be ≤ α = 0.01.

so to find the largest value of sample mean, we will use the maximum of p-value that is 0.01.

For a p-value = 0.01 at the lower tail (which is the percentile for z),

the corresponding z will be -2.33

so we substitute our values into our formula

z = (x"-μ)/(σ/√n)

z(σ/√n) = (x"-μ)

-2.33(0.04/√n) = (x"-0.5)

-0.0466 = x" - 0.5

x" = 0.5 - 0.0466

x"= 0.4534

therefore the largest value of the sample mean that will enable the experimenter to reject the null hypothesis is 0.4534 oz.

4 0
3 years ago
What is the least common multiple. Thanks.
o-na [289]

Before we start, find the LCM of 9, 5, and 5, which is 1. The least common multiple for the x is x^3, because it is the smallest exponent. The smallest multiple for y is 0, because the last factor doesn't even have y. For z, it is z^2. So your answer is 1x^3z^2, or just x^3,z^2.

6 0
3 years ago
Please help I don't understand this
Effectus [21]
The correct answer is:  [C]:  " \frac{7}{18}" .
____________________________________________________
Explanation:
____________________________________________________
Given:
____________________________________________________
  
  2 / (9x) = 4 / 7 ;  solve for "x" ;
____________________________________________________

Cross-multiply:

        →   (9x)*4  = 2 * 7 ; 

        →   36x = 14 ; 

Divide each side of the equation by "36" ; 
 to isolate "x" on one side of the equation; & to solve for "x" ; 

        →   36x / 36 = 14 / 36 ; 

                   x = 14/ 36 ; 

                  → x = 14/36 = (14÷2) / (36÷2) = 7/18 ; 
______________________________________________________

The answer is:  " \frac{7}{18}" ;

                       →  which is:  Answer choice:  [C]:  " \frac{7}{18}" .
______________________________________________________
7 0
3 years ago
Please help:(
Vladimir [108]

Answer  c would be the answer hope it helps

Step-by-step ex planation:

7 0
3 years ago
What is translation for math
kolezko [41]
Where you take a word problem and turn it into an equation
5 0
3 years ago
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