Michael has credit card debt of $75,000 that has an 12% APR, compounded monthly. The minimum payment only the requires him to pay the interest on his debt. He receives an offer for a credit with an APR of 4% compounded monthly. If he rolls over his debt onto his card and makes the same monthly payment as before, how long will it take him to pay off his credit card debt?

Answer:

(0,8)

Step-by-step explanation:

Answer:

4/5 of 3 = 12/5

2/9 of 20 = 40/9

Step-by-step explanation:

Answer:

1.  2.4

2. 4.444

Step-by-step explanation:

First, let's look at 4/5 of 3. We can set it up like this:

Next, multiply the 3 by the 4 to get this:

Then, if a calculator is permitted, we get the answer of 2.4.

The next thing to do would be to repeat the steps for 2/9 of 20.

[tex]20 * \frac{2}{9}[/tex]

[tex]\frac{40}{9} = 4.444[/tex]

Hope this helps!!

- Kay :)

Answer:

The conclusion of the scientist should be that the results are statistically significant and that there is a high probability that the mice brains doubled in sizes after watching the videos

Step-by-step explanation:

The complete question is as follows;

A scientist studies the development of brain size in mice, believing that exposure to statistics videos is related to brain development.. After having mice intensively watch statistics videos, the scientist discovers that mice have doubled the size of their brains. After running a statistical test on the difference, the scientist obtained a p-value of .04. What should the scientist conclude, assuming an a=.05?

Solution;

We start by forming the null hypothesis

The null hypothesis H0 here is that;

The mice have not doubled the sizes of their brains after watching the the videos

While the alternative hypothesis H1 is that the mice have double their brain sizes after watching the videos

To know what to conclude, we will need to look at the p-value obtained

The p-value we have here is 0.04 which is less than 0.05 and thus , shows the existence of a strong evidence against the null hypothesis which means we will have to accept the alternative

Hence, the conclusion of the scientist should be that the results are statistically significant and that there is a high probability that the mice brains doubled in sizes after watching the videos

Step-by-step explanation:

9x^2 + 9y^2 + 18xy

9(5)+18(-2)

45-36

9

32/8=28/x

we multiply by x

x*32/8=28

we multiply by 8/32

x=28*8/32

8 divides by 32

x=28/4=7

D: x = 7

Answer:

D

Step-by-step explanation:

Given

[tex]\frac{32}{8}[/tex] = [tex]\frac{28}{x}[/tex] ( cross- multiply )

32x = 224 ( divide both sides by 32 )

x = 7 → D

Your expression is a little unclear, but I am assuming your expression as:

[tex]7+\frac{2x}{4}=5[/tex]

The solution would still clear your concept in anyway.

Answer:

The value of x = -4

Step-by-step explanation:

Given the expression

[tex]7+\frac{2x}{4}=5[/tex]

solving the expression

[tex]7+\frac{2x}{4}=5[/tex]

as 2x/4 =  x/2, so

[tex]7+\frac{x}{2}=5[/tex]

subtract 7 from both sides

[tex]7+\frac{x}{2}-7=5-7[/tex]

simplify

[tex]\frac{x}{2}=-2[/tex]

Multiply both sides by 2

[tex]\frac{2x}{2}=2\left(-2\right)[/tex]

simplify

[tex]x=-4[/tex]

Thus, the value of x = -4

Answer:

8 3/5

false

Step-by-step explanation:

Answer:

This is my best solution for your question

Step-by-step explanation:

radius=10cm

<A0B=90°

Length of arc AB,

[tex] 10 \times \frac{\pi}{2 } = 5 \times 3.14 = 15.4cm[/tex]

[tex]perimeter \: of \: quadrant = \: 10 + 10 + 15.4 = 35.4cm[/tex]

Area of quadrant=

[tex] \frac{90}{360 } \times 3.14 \times {10 }^{2} = 78.5cm ^{2} [/tex]

Answer: a.) $50188 to $57812

Step-by-step explanation: Confidence Interval (CI) is an interval of values in which we are confident the true mean is in.

The interval is calculated as

x ± [tex]z\frac{s}{\sqrt{n} }[/tex]

a. For a 95% CI, z-value is 1.96.

Solving:

54,000 ± [tex]1.96.\frac{6000}{\sqrt{12} }[/tex]

54,000 ± [tex]1.96\frac{6000}{3.464}[/tex]

54,000 ± 1.96*1732.102

54,000 ± 3395

This means the interval is

50605 < μ < 57395

With a 95% confidence interval, the mean starting salary of college graduates is between 50605 and 57395 or from 50188 to 57812$.

b. The mean starting salary for college students in 2017 is $50,516, which is in the confidence interval. Therefore, since we 95% sure the real mean is between 50188 and 57812, there was no significant change since 2017.

Note: You did not mention the ordered pair choices. So, I am letting you clear your concept about taking some sample ordered pairs which anyways would clear your concept.

Answer:

The ordered pairs (1/2, 0) and (0, 1) are on the graph.

The graph is also attached.

Step-by-step explanation:

Given the function

[tex]y= -2x +1[/tex]

Any ordered pair which may satisfy the equation would lie on the graph.

Let us determine the x and y-intercepts.

Determining the x-intercept

We know that the x-intercept can be determined by setting y=0, and the solving for x. so

[tex]y= -2x +1[/tex]

0 = -2x+1

-2x = -1

Divide both sides by -2

x = 1/2

Thus, the x-intercept is (1/2, 0)

Determining the y-intercept

We know that the y-intercept can be determined by setting x=0, and the solving for y. so

[tex]y= -2x +1[/tex]

y = -2(0)+1

y = 1

Thus, the x-intercept is (0, 1)

Thus, the ordered pairs (1/2, 0) and (0, 1) are on the graph.

The graph is also attached.

The ordered pairs (1/2, 0) and (0, 1) are on the graph.

Let us plug x = 0.

So,

[tex]y=-2x+1\\y=-2(0)+1\\y=1[/tex]

So the point is (0, 1).

Let us plug x = 1/2.

So,

[tex]y=-2x+1\\y=-2\left(\frac{1}{2}\right)+1\\y=-1+1\\y=0[/tex]

So the point is (1/2, 0).

Learn more about ordered pairs: https://brainly.com/question/1528681

Answer:

graph D.

Step-by-step explanation:

The inequality that is being shown in the question means that the value of x is equal to or greater than 9. Greater values are represented as all of the values to the right of a certain number. On a number line "equal to" is represented by  a closed circle. Therefore, with this knowledge we can see that out of all of the provided options the only one that follows these set of rules would be graph D.

Answer:

  The first question is A.

  The second question is C.

   The thid question is B., I think i'm not quit sure sorry

1.

4x-5x+3-8

-x-5

2.

3x^2+8x^2-2x+7x

11x^2-5x

3.

4x+9x+2y+3y^2

3y^2+5y+13x

4.

-5x-7x-2

-5x+-7x-2

-12x-2

5.

6(3x-5)-9x

6(3(4)-5)-9(4)

6(12-5)-36

6(7)-36

6

Answer:

m

Step-by-step explanation:

Answer:

it's answer is 20

Step-by-step explanation:

hope it helps you

Answer:

The answers are:

Step-by-step explanation:

Given vectors are:

u = <5,1>

v = <6,2>

The vectors are given in the form of ordered pairs, the operations can be applied on the coordinates of ordered pairs

Now,

[tex]2u = 2(5,1) = (10,2)[/tex]

[tex]-3v = -3(6,2) = (-18,-6)[/tex]

Now we have to add two vectors

In order to add two vectors, their respective coordinates are added:

So,

[tex]u+v = (5,1) + (6,2)\\= (5+6, 1+2)\\=(11,3)[/tex]

And

[tex]3u-4v = 3(5,1) - 4(6,2)\\= (15,3) - (24,8)\\= (15-24, 3-8)\\=(-9, -5)[/tex]

Hence,

The answers are:

Answer:

1 1/2(simplified)

Step-by-step explanation:

subtracting 1 from 2 is one and then 1/4 from 3/4 which is 2/4 simplifying makes it 1/2

Answer:

Step-by-step explanation:

Answer:

1.7(2c+6)

Step-by-step explanation:

Answer:

What am i supposed to be solving please give more description

Step-by-step explanation:

Answer:

Probability distribution of x

Step-by-step explanation:

Binomial Probability = N c x . (P)^x . (Q)^ n-x

N = Total trials, 7 customers here ; P = Prob of success, 0.80 satisfied here ;    x = No. of success (1....7) ; Q = Prob of fail, 0.20 not satisfied here

P (x = 1) = 7c1 (0.80)^1 (0.20)^7  = 0.00035

P (x = 2) = 7c2 (0.80)^2 (0.20)^6 = 0.0043

P (x = 3) = 7c3 (0.80)^3 (0.20)^5 = 0.0286

P (x = 4) = 7c4 (0.80)^4 (0.20)^4 = 0.1146

P (x = 5) = 7c5 (0.80)^5 (0.20)^3 = 0.2752

P (x = 6) = 7c6 (0.80)^6 (0.20)^2 = 0.3670

P (x = 7) = 7c7 (0.80)^7 (0.20)^1 = 0.2097

Answer:

Step-by-step explanation:

Option B is correct

Answer:

45°

Step-by-step explanation:

Answer:

The minimum score needed to be in the top 2% of the scores on the test

is  n = 10,00,000

Step-by-step explanation:

Step(i):-

Mean of the Population = 110

Standard deviation of the Population = 20

The estimated error = 2% = 0.02

Step(ii):-

The estimated error is determined by

                        [tex]E = \frac{S.D}{\sqrt{n} }[/tex]

                       [tex]0.02 = \frac{20}{\sqrt{n} }[/tex]

               ⇒ [tex]\sqrt{n} = \frac{20}{0.02} = 1000[/tex]

Squaring on both sides, we get

                   n = 10,00,000

The minimum score needed to be in the top 2% of the scores on the test

is  n = 10,00,000

Answer:

(-2,2)

Step-by-step explanation:

Answer:

y= -3/1  plus 5

Step-by-step explanation:

correct me if im wrong u can just write -3 instead of -3/1

Answer: B the second answer

Step-by-step explanation:

Answer:

4 gallons=16 quarts

Step-by-step explanation:

Brainliest me pls

Have a nice day!

Answer:

16 Quarts

Step-by-step explanation:

First I figured out how many quarts are in a gallon which is 4.

Then I multiplied 4 by 4 which gives you 16.

Hope This helps! ^w^

Answer:

t = 3.4 hour

Step-by-step explanation:

Distance to be covered by Shareen, d = 9.52 miles

The average speed of Shareen, v = 2.8 mph

We need to find the time taken by Shareen to complete the walk.

The formula for average speed,

v = distance/time

[tex]t=\dfrac{d}{v}\\\\t=\dfrac{9.52}{2.8}\\\\t=3.4\ \text{hour}[/tex]

Hence, it will take 3.4 hour to complete the walk.