Find the amount of interest owed for a $1,895 loan for 4 years at a 7.9% interest rate.

Answer: You can use the formula  [tex]d=\sqrt{(x_2-x_1)^2+(y_2-y_1)^2}[/tex] (SEE EXPLANATION)

Step-by-step explanation:

Since the points are not written correctly, I will give you a general explanation about the procedure you should follow in order to find the distance between the two points.

By definition, the distance between two points can be calculated with the following formula:

[tex]d=\sqrt{(x_2-x_1)^2+(y_2-y_1)^2}[/tex]

As you can observe, if you have two points:

 [tex](x_1,y_1)\\\\(x_2,y_2)[/tex]

The steps you must follow in order to solve the exercise, are the shown below:

Step 1. You can substitute the values of [tex]x_1,y_1,x_2[/tex] and [tex]y_2[/tex] into the formula [tex]d=\sqrt{(x_2-x_1)^2+(y_2-y_1)}[/tex].

Step 2. You must evaluate in order to find the distance between those two points.

Answer:

104 CUPS

HOPE IT HELPS :0

Answer:

The value of x is 14

The length of each diagonal is 24 units

Step-by-step explanation:

Let us revise the properties of the rectangle

In rectangle TUVW

∵ TV and UW are its diagonals

∴ TV = UW

∵ TV = 2x - 4

∵ UW = x + 10

- Equate them to find x

∴ 2x - 4 = x + 10

- Subtract x from both sides

∴ x - 4 = 10

- Add 4 to both sides

∴ x = 14

The value of x is 14

Substitute the value of x in the expression of TV OR UW to find the length of each diagonal

∵ TV = 2(14) - 4

∴ TV = 28 - 4

∴ TV = 24 units

The length of each diagonal is 24 units

Final answer:

To solve for x, we equate the lengths of TV and UW, since they are opposite sides of a rectangle. Solving the equation yields x = 14. We then find the lengths of TV and UW (both 24 units), and use the Pythagorean theorem to calculate the length of the diagonal, which is approximately 33.94 units.

Explanation:

We are given that TUVW is a rectangle with sides TV and UW. We are also given that the lengths of these sides can be expressed as TV = 2x - 4 and UW = x + 10. Since TUVW is a rectangle, opposite sides are equal in length, so TV equals UW.

Setting the expressions for TV and UW equal to each other gives us:

Solving for x:

Now we can find the lengths of TV and UW:

Therefore, each diagonal of the rectangle is of the same length because diagonals of a rectangle are congruent. We can use the Pythagorean theorem to find the length of the diagonal:

Let d be the length of the diagonal:

The length of each diagonal of the rectangle is approximately 33.94 units.

Answer:

Rational:

0.75 (as a recurring number)

3.8

-12/7

Irrational:

sqrt. (3/8)

sqrt. (1/16)

sqrt. (10)

pi/2

Step-by-step explanation:

Rational numbers are parts of a whole, expressed as fractions, decimals, or percentages. They are finite, recurring, and real.

Irrational numbers have no end to their numbers, and there is no pattern to the numbers. Besides perfect square roots (like 4, 9, 16, 25, etc.), all square roots are likely irrational. Anything with pi is irrational.

Hope this helps!

Answer:

Approximately 42 times larger

Step-by-step explanation:

The diameter of a sphere is 2,160 mm.

The diameter of a second sphere is 7,520 mm.

To see how many times larger is the diameter of second sphere is than the diameter of the second sphere, we divide to get:

[tex]k = \frac{7520}{2160} [/tex]

[tex]k = 3.481[/tex]

To see how many times larger the volume is, we cube both sides

[tex] {k}^{3} = {3.481}^{3} [/tex]

This implies that

[tex] {k}^{3} = 42.181[/tex]

Therefore the volume of the second sphere is approximately 42 times larger

The composite shape is made up of a cube with a side length of 5 inches and a cylinder with a radius of 2 inches and a height of 4 inches.

The composite solid's surface area is 225.4 square inches.

Step-by-step explanation:

Step 1:

The given composite shape is made up of a cube with a side length of 5 inches and a cylinder with a radius of 2 inches and a height of 4 inches.

The surface area of the composite shape is given by summing the individual surface areas.

The composite shape's surface area = The cube's surface area + the cylinder's surface area.

Step 2:

Any cube's surface area is calculated by multiplying 6 with the square of the side length ([tex]a^2[/tex]).

The cube's surface area = [tex]6a^2[/tex] = [tex]6(5^{2} )[/tex] = [tex]150[/tex] square inches.

Step 3:

Any cylinder's surface area is calculated with the following formula;

The cylinder's surface area = [tex]2 \pi r h+2 \pi r^{2}[/tex] = [tex]2 \pi (2) (4)+2 \pi (2)^{2}[/tex] = [tex]75.398[/tex] square inches

Step 4:

The composite shape's surface area = The cube's surface area + the cylinder's surface area.

The composite shape's surface area = 150 + 75.398 = 225.398 square inches. Rounding this off, we get the area as 225.4 square inches.

Answer:

The average speed coming home was 63.27 miles per hour

Step-by-step explanation:

1. Let's review the information given to us to answer the question correctly:

Speed from home to Maine = 58 miles per hour

Time of the first leg of the trip = 3 hours or 180 minutes

Time of the second leg of the trip = 15 minutes less = 180 - 15 = 165 minutes or 2 hours 45 minutes

2. What was my average speed coming home?

Let's calculate the distance from home to Maine, this way:

Speed = Distance/Time

Distance = Speed * Time

Distance = 58 * 3 = 174 miles

Now, let's calculate the speed of the second leg, as follows:

Speed = Distance/Time

2 hours 45 minutes = 2.75

Speed = 174/2.75

Speed = 63.27 miles per hour

Answer:

i  believe that it is a function.

Step-by-step explanation:

you do not have any of the exact same numbers with arrows ot one another.

Answer:

It is a function

Step-by-step explanation:

Have a great day :) Dont forget to smile because you are AWESOME

Step-by-step explanation:

[tex]x = 70 \degree..(vertical \: \angle s) \\ \\ y = 70 \degree..(alternate \: \angle s) \\ \\ 2z = 70 \degree..(corresponding \: \angle s) \\ \\ \therefore \: z = 35\degree[/tex]

The yard, whose symbol is yd, is standardized as 0.9144 meters since 1959.  The unit system that use it is both the imperial and the US units. On the other hand, the foot, whose symbol is ft, is standardized as 0.3048 meter. It is also used by the imperial and US units. The relationship between these two units is:

[tex]1yd=3ft \\ \\ 1ft=1/3yd[/tex]

Answer:

C

Step-by-step explanation:

arc BOC=360-240=120

arc BAC: arc BOC::240:120 or 2:1

Answer:

the answer is C

Step-by-step explanation:

took the answer on the edge 2020

Answer:

12 = y

Step-by-step explanation:

To make figuring this equation out easier, you will want to make all the fractions have the same denominator but stay equivalent to their original state. By this I mean, to get 6/8 to have the same denominator as y/16 but still be equivalent o 6/8, you will have to multiply it 2. That leaves you with 12/16 = y/16. Now that the equation has been modified, we can now solve it. You want to get the variable, y, isolated on one side of the equation. To do this, you want to multiply both sides of the equation by 16 since both sides of the equation are being divided by 16. This equation will look like this: 12/16 = y/16  -->  12 = y

I hope this helps

Answer:

2.

Step-by-step explanation:

-10 divided by -5 is 2.  The two negatives cancel each other out.

Answer:

two is the correct answer

Step-by-step explanation:

Answer:

8% = 8/100 = 2/25

Step-by-step explanation:

^^^^^^^^^

Answer:2/25

Step-by-step explanation:

8%=8/100=2/25

Answer:

33

Step-by-step explanation:

2x+9=75

2x=66

x=33

Therefore, 33

Answer:

x = 11 | Scale factor = 2

Step-by-step explanation:

As you can see, the 3 turns into a six meaning it multiplied by 2. Apply this to 5.5 to get 11. The 2 is your scale factor.

Answer:

it is 2 but whats under or over 2 because no one reads the question or says the right question or answer  

Step-by-step explanation

ill just put 2/2

Answer:

0.16

To two decimal places

Step-by-step explanation:

0.4 + (0.5 + 0.2)

A question with more than one sign will be solved using the rule of BODMAS. Bracket Of Division, Multiplication, Addition and Subtraction.

In this question, we have Bracket and addition and it will be answered in that order.

0.4 + (0.5 + 0.2)

0.4+(0.7)

1.1 divided by 7

0.16

To 2 decimal places

Answer:

y=x+0

Step-by-step explanation:

CHECK:

-7=-7+0

-7=-7

Yep

Answer:

y=2x+7

Step-by-step explanation:

I just did it

Answer: the answer is 926299.6

Step-by-step explanation: I hope this helps you

Answer:

[tex]926,299.6[/tex]

Step-by-step explanation:

[tex]8993.2 \\ \times 103 \\ =926,299.6[/tex]

thanks

hope this helps....

Solution:

Given system of equations are:

y = x + 2 ------ eqn 1

-3x + 3y =  6 -------- eqn 2

Solve the system of equations by substitution method

Substitute eqn 1 in eqn 2

-3x + 3(x + 2) = 6

-3x + 3x + 6 = 6

-3x + 3x = 6 - 6

0 = 0

If we end up with the same term on both sides of the equal sign, then we have infinite solutions

Thus the system of equations has infinitely many solutions

[tex]\bf \textit{area of a rectangle}\\\\ A=Lw~~ \begin{cases} L=length\\ w=width\\[-0.5em] \hrulefill\\ A=4x+32\\ L=4 \end{cases}\implies 4x+32=4w \\\\\\ \cfrac{4x+32}{4}=w\implies \cfrac{~~\begin{matrix} 4 \\[-0.7em]\cline{1-1}\\[-5pt]\end{matrix}~~ (x+8)}{~~\begin{matrix} 4 \\[-0.7em]\cline{1-1}\\[-5pt]\end{matrix}~~}=w\implies \boxed{x+8=w}[/tex]

To find the total number of people surveyed when 424 people represent 53% of respondents, divide 424 by 0.53, which equals 800. Thus, 800 people were surveyed.

The question asks to determine the total number of people surveyed given that 53% of respondents enjoy walking through the park, and this represents 424 people. To find the total number of people surveyed, we set up a proportion where 53% (or 0.53) corresponds to the 424 people who enjoy walking in the park.

Using the formula for calculating percentages, we have:

Total people surveyed = 424 / 0.53

We perform the division to find the total number surveyed:
Total people surveyed = 800

Therefore, 800 people were surveyed.

If CJ is given 2x + 3, CT is given 53 and JT is given 9x +6, then the value of x by the solving the equation is 4. So the value of JT is 42.

To find the value of JT, we first need to establish the value of x.

Given the equation CJ + JT = CT or 2x + 3 + 9x + 6 = 53.

We can simplify that by adding 2x and 9x and 3 and 6 together to give us 11x + 9 = 53.

We then subtract 9 from both sides of the equation which gives us 11x = 53 - 9 or 11x = 44.

Then by dividing both sides of the equation by 11 we solve for x, which gives us x = 44 / 11 or x = 4.

Now we can substitute the value of x into the equation JT = 9x + 6.

Substituting 4 for x gives us JT = 9 × 4 + 6 or JT = 36 + 6.

So JT = 42.

Therefore, the value of JT is 42 when the value of x is 4.

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Answer:

y =  -5/7x -32/7

Step-by-step explanation:

To find the perpendicular line, it is the opposite opposite slope. this means that you change if it was positive or negative, and you flip the numerator and the denominator. so, because this slope is positive, you turn it to be negative. then you would switch the numerator and denominator, making the slope of the other line -5/7 (m). then you use y=mx + b to find the equation of the other line. you use (2,-6) and fill in the values to find be, so you would do

-6 = (-5/7)(2) + b so then you solve

-6 = (-10/7) + b  

-32/7 = b

and then you fill in the y=mx +b to get y =  -5/7x -32/7

Answer:6

Step-by-step explanation:quick maths

Answer:

6,010,500,000

Step-by-step explanation:

Answer:

true

Step-by-step explanation:

hopes it helps‍♂️

Answer:

see attachment

Step-by-step explanation:

The average rate of change in the number of acres used to grow nuts from 2004 to 2011 is approximately 47,143 acres per year when rounded to the nearest integer.

To find the average rate of change in the number of acres in a region used to grow nuts from 2004 to 2011, we can apply the formula for the rate of change, which is:

(Change in Quantity) / (Change in Time)

In this case, the quantity is the number of acres used for nut farming, and the time is the number of years between 2004 and 2011. The calculation is as follows:

Change in Quantity = Final value - Initial value = 850,000 acres - 520,000 acres = 330,000 acres

Change in Time = 2011 - 2004 = 7 years

Therefore, the average rate of change is:

Average rate of change = (330,000 acres) / (7 years) = 47,143 acres per year

Rounded to the nearest integer, the average rate of change is 47,143 acres per year.

Answer:

186.50

Step-by-step explanation: