Find the following limit without using a graphing calculator or making a table.

Using simple interest, it is found that the principal loan amount was of $156,491.6.

The amount of money after t years in simple interest is modeled by:

[tex]A(t) = A(0)(1 + rt)[/tex]

In which:

In this problem, she paid $984 monthly for 22 years, hence:

[tex]t = 22, A(t) = 984(22)(12) = 259776[/tex]

Interest rate of 3%, hence [tex]r = 0.03[/tex]

Then:

[tex]A(t) = A(0)(1 + rt)[/tex]

[tex]259776 = A(0)[1 + 0.03(22)][/tex]

[tex]A(0) = \frac{259776}{1 + 0.03(22)}[/tex]

[tex]A(0) = 156491.6[/tex]

The principal loan amount was of $156,491.6.

A similar problem is given at https://brainly.com/question/13176347

Answer:

It'll be B.10

Step-by-step explanation:

Rectangles always have 2 side lower than the other2 . BC and AD are same length so they are both 13. BA and CB are the same length to It has to be 10.

Hope this helps :)

Answer:

Step-by-step explanation:

Do you want to know how to write the decimal number 12.95 as a fraction?

Here we will show you step-by-step how to convert 12.95 so you can write it as a fraction.

You can take any number, such as 12.95, and write a 1 as the denominator to make it a fraction and keep the same value, like this:

12.95 / 1

To get rid of the decimal point in the numerator, we count the numbers after the decimal in 12.95, and multiply the numerator and denominator by 10 if it is 1 number, 100 if it is 2 numbers, 1000 if it is 3 numbers, and so on.

Therefore, in this case we multiply the numerator and denominator by 100 to get the following fraction:

1295 / 100

Then, we need to divide the numerator and denominator by the greatest common divisor (GCD) to simplify the fraction.

The GCD of 1295 and 100 is 5. When we divide the numerator and denominator by 5, we get the following:

259 / 20

Therefore, 12.95 as a fraction is as follows:

259 / 20

Answer:

[tex] \: \: \: \: \: \: [/tex]

Answer:

20 servings of 100-milliliter sports drink

Step-by-step explanation:

Answer:

-2x - 2

Step-by-step explanation:

-2(x + 1)

Therefore, the answer is -2x - 2.

Answer:

-2x - 2

Step-by-step explanation:

Simplify:

-Chetan K

Answer:

0.75 cents or $0.0075

Step-by-step explanation:

3/4 = 75/100 = 0.75

0.75 of a penny or $0.0075 in dollars

pls mark brainliest if this helped :)

3/4 of a penny in decimal form is 0.75 of a penny or $0.0075 in dollars.

The cent, the United States one-cent coin (symbol: ¢), usually named the "penny", exists as a unit of currency equaling one one-hundredth of a United States dollar.

During the colonial period, people utilized a variety of coins from other nations. A popular coin stood the British penny, which was the least amount of the British pound coin. That's why we call our cent a “penny.”

Given: 3/4 of a penny

3/4 = 75/100 = 0.75

0.75 of a penny or $0.0075 in dollars

To learn more about decimal points refer to:

brainly.com/question/15205491

#SPJ2

Answer:

39/2

Step-by-step explanation:

This is out of context

Answer:

1950/100

Step-by-step explanation:

Answer:

$2.30

Step-by-step explanation:

Step-by-step explanation:

the numbers : x, y

x + y = 65

x = y + 5

we use the second equation in the first equation :

y + 5 + y = 65

2y + 5 = 65

2y = 60

y = 30

x = y + 5 = 30 + 5 = 35

Answer:

5 minimum 32 maximum

Step-by-step explanation:

Answer:

Answer is 14

Step-by-step explanation:

By understanding the concept of math

Answer: you mom

Step-by-step explanation:

Answer:

28 is 10% of 280

Steps to solve "28 is 10 percent of what number?"

We have, 10% × x = 28

or,  

10

100

× x = 28

Multiplying both sides by 100 and dividing both sides by 10,

we have x = 28 ×  

100

10

x = 280

If you are using a calculator, simply enter 28×100÷10, which will give you the answer.

Answer:

134.12

Step-by-step explanation:

Subtraction.

Tell me if you want a step by step.

Hope this helped. :)

The element which should be used to help clarify a complicated idea in a text is ; A research question.

According to the question;

A research question is the best fit which should be used to help clarify a complicated idea in a text.

This is so because; a research question provides a basis for accessing all perspectives there is to the complicated idea.

Read more:

https://brainly.com/question/18675306

Answer:

D:) a research question.

Step-by-step explanation:took the test

Answer:

x=9

Step-by-step explanation:

The purple expressions are equal because they are Z angles.

So solve

2x + 15 = 5x - 12

=>

15 + 12 = 5x - 2x

27 = 3x

x = 27/3 = 9

Answer:

-12

Step-by-step explanation:

Since the segments go by 3, with each segment to the left I subtracted 3, so it was 0, -3, -6, -9, and then the blue dot stood on the segment -12, and that's your answer.

Tell me if I'm wrong :)

Answer: -12

Step-by-step explanation: The number line is going by 3's, so since the blue dot is 4 dashes away from 0 with the first dash being -3, that can only mean that the answer is -12.

Hope this helped and let me know if its correct!

-KC

Answer:

D. He left his house at 8:40 a.m

Answer:

3x-6   A.

Step-by-step explanation:

I would glady help anyone.

You welcome.

Using the z-distribution, it is found that the p-value for this test is of 0.0375.

At the null hypothesis, it is tested if the expenses are the same as the national average, that is, of $5,423. Hence:

[tex]H_0: \mu = 5423[/tex]

At the alternative hypothesis, it is tested if it is higher, hence:

[tex]H_1: \mu > 5423[/tex]

We have the standard deviation for the population, thus, the z-distribution is used. The test statistic is given by:

[tex]z = \frac{\overline{x} - \mu}{\frac{\sigma}{\sqrt{n}}}[/tex]

The parameters are:

For this problem, the values of the parameters are: [tex]\overline{x} = 5516, \mu = 5423, \sigma = 979, n = 352[/tex]

The value of the test statistic is:

[tex]z = \frac{\overline{x} - \mu}{\frac{\sigma}{\sqrt{n}}}[/tex]

[tex]z = \frac{5516 - 5423}{\frac{979}{\sqrt{352}}}[/tex]

[tex]z = 1.78[/tex]

The p-value is the probability of finding a sample mean above $5,516, which is 1 subtracted by the p-value of z = 1.78.

1 - 0.9625 = 0.0375

Hence, the p-value for this test is of 0.0375.

A similar problem is given at https://brainly.com/question/25549474

Answer:

66 anches beacause i don't know

Step-by-step explanation:

Answer:

it is in quadratic equation meaning you use Plus or minus

Answer:

I is both the plus and minus sign so and 2+1 and subtract 2-1 both answers are the answer

Step-by-step explanation:

The plus–minus sign, ±, is a mathematical symbol with multiple meanings. In mathematics, it generally indicates a choice of exactly two possible values, one of which is obtained through addition and the other through subtraction.

The sign may also represent an inclusive range of values that a reading might have.

•————•

X W

This is called as line segment XW. The 2 dots at the ends indicate that the line segment has a starting point & an end point.

______

RainbowSalt2222 ☔

Answer:

Distance 10 miles: Displacement 7.07 miles  

Step-by-step explanation:

Let's depict Jake's journey on the Cartesian coordinate axis. Let Jake initially be at the point (0 ; 0 ) . Then you can determine how far from the starting point (0; 0) it has moved away (displacement ). According to the Pythagorean theorem , we will find it He walked 10 miles And displacement is found by the Pythagorean theorem
[tex]\bf displacement = \sqrt{5^2+5^2} =\sqrt{50} \approx 7.07m[/tex]
Then the answer is : Distance 10 miles: Displacement 7.07 miles

Answer:

Measure of Angle B = 25°

Step-by-step explanation:

Something to keep in mind: Angle A and B are Vertical Angles so they will always be equal

so;

Angle A = Angle B

(4x + 5) = (-2(x - 17.5))

4x + 5 = -2x + 35   (<= Solved by distributive property)

6x + 5 = 35

6x = 30

x = 5

Now we can find the measure of Angle B, by substituting x by 5 in the B equation;

-2 (x - 17.5) = Angle B

-2 (5 - 17.5) = Angle

-2 (-12.5) = Angel B

25 = Angle B

so measure of angle B = 25

Hope this helps!

Answer:

10 units

Step-by-step explanation:

Area of smaller ∆ ,

= 1/2 * 2 * 2 = 2 u

Area of larger ∆ ,

= 1/2 * 4 * 4 = 8u

Total area = 8u + 2u = 10 units

Answer:

5 6/7

Step-by-step explanation:

how many times does 7 go onto 41?

7 x 5 = 35

remainder is 6 so;

5 6/7

Hey there!

41/7

= (5 * 7 + 6)/7

= (5 * 7)/7 + 6/7

= 5 6/7

= 5 6/7 ≈ 41/7

Therefore, your answer is: 5 6/7

Good luck on your assignment and enjoy your day’

~Amphitrite1040:)