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Answer:

Income from $ 4000 at 5 % in one year = $ 4000 of 5 %.

= $ 4000 × 5/100.

= $ 4000 × 0.05.

= $ 200.

Income from $ 3500 at 4 % in one year = $ 3500 of 4 %.

= $ 3500 × 4/100.

= $ 3500 × 0.04.

= $ 140.

Total income from 4000 at 5 % and 3500 at 4 % = $ 200 + $ 140 = $ 340.

Remaining income amount in order to have a yearly income of $ 500 = $ 500 - $ 340.

= $ 160.

Total invested amount = $ 4000 + $ 3500 = $7500.

Remaining invest amount = $ 10000 - $ 7500 = $ 2500.

We know that, Interest = Principal × Rate × Time

Interest = $ 160,

Principal = $ 2500,

Rate = r [we need to find the value of r],

Time = 1 year.

160 = 2500 × r × 1.

160 = 2500r

160/2500 = 2500r/2500 [divide both sides by 2500]

0.064 = r

r = 0.064

Change it to a percent by moving the decimal to the right two places r = 6.4 %

Therefore, he invested the remaining amount $ 2500 at 6.4 % in order to get $ 500 income every year.

Answer: (e)

I know that this is hard to understand but if you need help let me know

Have a great day

............................................. (i had to do that bec it needed to be 20 characters)

Answer:

Using linear interpolation on the interval [15,23] that would be

9.5 + (22-15)/(23-15) * (11.9-9.5) = 11.6

That is, since 22 is 7/8 of the way from 15 to 23, he should produce a value 7/8 of the way from 9.5 to 11.9

The correct answer is 11.9

I took the test, this is my third time answering this question.

I explained everything but all got erased, anyways the answer is 11.9

-0.97 has the strongest correlation. Therefore, option D is the correct answer.

The correlation coefficient describes how one variable moves in relation to another. A positive correlation indicates that the two move in the same direction, with a value of 1 denoting a perfect positive correlation. A value of -1 shows a perfect negative, or inverse, correlation, while zero means no linear correlation exists.

Given that, correlation coefficients have values between -1 and 1 and that the closer the value is to -1 or 1, the stronger the correlation

From the options -0.97 is closer to -1

Thus, -0.97 has the strongest correlation

Therefore, option D is the correct answer.

Learn more about the correlation coefficient here:

https://brainly.com/question/27226153.

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Answer:

Radius: 7 cm, Diameter: 14 cm

Step-by-step explanation:

Correct me if I'm wrong, but I understood that 14 cm is the length of the line segment drawn across the circle. We know that the definition of the diameter is "any straight line segment that passes through the center of the circle and whose endpoints lie on the end of each circle", which can be defined as the line that is shown with a length of 14 cm. It is also known that the radius, a line drawn from the center of the circle to an endpoint, is always half of the diameter, which in this case is 14 cm, so the radius would be 7 cm.

D(-3,-7)

E(-4,3)

F(1,3)

Answer:

Whitney can bring 6 friends.

Step-by-step explanation:

The reason why is this:

Whitney is bringing 400 pounds of things plus her own body weight!

400 + 165 = 565 pounds

Now we add on Whitneys freinds which is 165 (their body weight) + the 10 pounds of gear which equals 175 pounds. So each friend would be 175 pounds total weight.

175 x 6 = 1,050 pounds

If we add on Whitneys total weight thats:

565 + 1,050 = 1,615

Adding on another friend would be 1,790 pounds which would be over the weight limit for the vehicle.

Hence, Whitney can bring along 6 friends for her birthday.

Hope this helped! :)

The exponential regression equation that fits the data is:

[tex]y = 4.981 \times 2.674^x[/tex]

An equation contains one or more terms with variables connected by an equal sign.

Example:

2x + 4y = 9 is an equation.

2x = 8 is an equation.

We have,

Exponential regression is a statistical method used to model relationships between two variables, where one variable is the exponent of another.

In this case, we have two variables, X and Y, and we want to find an exponential function that best fits the data.

The general form of an exponential function is [tex]y = a \times b^x,[/tex]

where a and b are constants.

To find the exponential regression equation that fits the data, we need to find the values of a and b that minimize the sum of the squared errors between the predicted values of Y and the actual values of Y.

Using a software program or a calculator with regression capabilities, we can input the data and find the values of a and b that best fit the data.

In this case, the exponential regression equation that fits the data is:

[tex]y = 4.981 \times 2.674^x[/tex]

This equation has an R-squared value of 0.995,

which indicates a very good fit between the data and the exponential model.

Thus,

The exponential regression equation that fits the data is:

[tex]y = 4.981 \times 2.674^x[/tex]

Learn more about equations here:

https://brainly.com/question/17194269

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Answer:

60 minutes is the answer.

Step-by-step explanation:

10 x 6 = 60

15 x 4 = 60

12 x 5 = 60

Answer: 60 Minutes

Step-by-step explanation:

Scones = 15 Minutes

Muffins = 12 minutes

Cookies = 10 minutes

Answer:

There going by 5's

Step-by-step explanation:

Answer: 1

Step-by-step explanation:

Answer:

6

Step-by-step explanation:

first we need to find the volume using this formula V=Bh

V=(3/2)(2)

V= 3 cm³

now divide

3/.5= 6

so 6 1/2 cm cubes will fit

Answer:

6 I think.

Step-by-step explanation:

I may be wrong but I hope this helps :)

Answer:

Yeah, I don't get it either.....

Step-by-step explanation: because it is unclear:/

Answer:

4.20

Step-by-step explanation:

"1" is in the tenths place, so we look at nine to see if its bigger or smaller than 5, it is so we round up to .20 giving us 4.20

(I also feel this isnt the whole question, but this is the answer for this part anyway.)

Answer:

Step-by-step explanation:

#1 true

#2 false

#3 true

#4 i need the choices

Answer:

101.25 km

Step-by-step explanation:

To solve, we need to first find how much she drives in one minute and then multiply that by the number of minutes she drives.

1.5 km = 2 minutes

divide both sides by 2.

1 minute = 0.75 km

2.25 hours = 2.25 * 60 =  135 minutes

Multiply the speed by the time to find distance.

135 * 0.75 = 101.25 km

Thus, she covered 101.25 km in 2 1/4 hours.

Answer:

24m+30

Step-by-step explanation:

i think i dont know for sure.

Answer:

c

Step-by-step explanation:

Answer:

$300

Step-by-step explanation:

1500 • 20%

1500 • 20/100

15 • 20

300

Hope this helps, good luck! :)

His net pay after tax is $1,200

Given that he earns $1500

His income tax is 20%

Therefore, to find the amount deducted,

20/100 x 1500

= $300

Hence, to find his net pay,

1500-300

=$1,200

Read more about income tax here:

https://brainly.com/question/26316390

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Answer: Look you have a website called symbolab and another called desmos for this stuff.

Step-by-step explanation:

Answer:

[tex] {6}^{3} \times {7}^{3} = {(6 \times 7)}^{3} = {42}^{3} [/tex]

Step-by-step explanation:

When two or more quantities have the same exponents, their bases can be multiplied together.

Answer:

2) 0.081

3) 0.741

4) 71.3

5) 0.0422

6) 79.9971

7) 0.00265

8)0.0935

Answer:

1 - 89.974

2 - 0.081

3 - 0.741

4 - 71.3

5 - 0.0422

6 - 79.9971

7 - 0.00265

8 - 0.0935

Answer: $10.8

Step-by-step explanation: Let 6 represents how many cheeseburgers was spent. x represents the cost of each cheeseburger that we don't know yet, and 64.80 represents the total cost. 6*x=64.80 x = 10.8

64.80 ÷ 6 = 10.8. So the each cheeseburger cost $10.8. You can find out what these variables are buy dividing 64.80 and 6. You will get your answer.

Answer:

x = 99.9

Step-by-step explanation:

628 = 2πx

---> x = 99.9

Answer:

25.

Step-by-step explanation:

Whenever you attempt to solve an equation with multiple operations, remember this: PEMDAS

**THIS IS THE ORDER IN WHICH YOU SHOULD SOLVE EQUATIONS WITH MULTIPLE OPERATIONS.**

First, we solve what is in parenthesis.

20+(5 x 2/5) + 3

5/1 x 2/5 = 10/5 = 2 (simplified)

Then, replace the equation with the answer.

20 + 2 + 3

Secondly, there are no exponents.

There is no multiplication nor division.

However, there is addition.

20 + 2 + 3

20 + 2 = 22

Now, we solve the remaining addition problem.

22 + 3 = 25.

Therefore, 20+(5 x 2/5) + 3 = 25.