(25 POINTS) Parallel lines m and n are cut by a transversal t. Which two angles are NOT corresponding angles?
A. 1 and 6
B. 4 and 8
C. 3 and 7
D. 1 and 5

formula used : [tex]\sf A = P(1 + \dfrac{r}{n})^{nt}[/tex]

============================

✔A) A 2-year loan with a 4.75% interest rate compounded annually.

[tex]\hookrightarrow \sf A = 10,000 (1 + \dfrac{4.75\%}{1})^{(1)(2)}[/tex]

[tex]\hookrightarrow \sf A = \$10,972.56[/tex]

B) A 3-year loan with a 4.00% interest rate compounded annually.

[tex]\hookrightarrow \sf A = 10,000 (1 + \dfrac{4.00\%}{1})^{(1)(3)}[/tex]

[tex]\hookrightarrow \sf A = \$11248.64[/tex]

C) A 4-year loan with a 3.75% interest rate compounded annually.

[tex]\hookrightarrow \sf A = 10,000 (1 + \dfrac{3.75\%}{1})^{(1)(4)}[/tex]

[tex]\hookrightarrow \sf A = \$11586.50415[/tex]

D) A 5-year loan with a 3.00% interest rate compounded annually.

[tex]\hookrightarrow \sf A = 10,000 (1 + \dfrac{3.00\%}{1})^{(1)(5)}[/tex]

[tex]\hookrightarrow \sf A = \$ 11592.74074[/tex]

Thus loan of 2-year loan with a 4.75% interest which is compounded annually will allow him to pay the least interest of only $972.56.

The least interest is 972.56 dollars. Then he has to select a 2-year loan with a 4.75% interest rate compounded annually.

Compound interest is the interest on a loan or deposit calculated based on the initial principal and the accumulated interest from the previous period.

We know that the formula for the amount will be

[tex]A = P (1 + r) ^t[/tex]

A = Amount

P = Loan amount

r = rate of interest

t = time

The interest is given as

Interest = A - P

Charles needs a $10,000 loan in order to buy a car.

A) A 2-year loan with a 4.75% interest rate compounded annually. Then the amount will be

[tex]\rm A = 10000(1.0475)^2\\\\A = 10972.56[/tex]

Then the interest will be

Interest = 10972.56 - 10000

Interest = 972.56

The amount of interest is $972.56.

B) A 3-year loan with a 4.00% interest rate compounded annually.  Then the amount will be

[tex]\rm A = 10000(1.04)^3\\\\A = 11248.64[/tex]

Then the interest will be

Interest = 11248.64 - 10000

Interest = 1248.64

The amount of interest is $1248.64.

C) A 4-year loan with a 3.75% interest rate compounded annually.  Then the amount will be

[tex]\rm A = 10000(1.0375)^4\\\\A = 11586.50[/tex]

Then the interest will be

Interest = 11586.50 - 10000

Interest = 1586.50

The amount of interest is $1586.50.

D) A 5-year loan with a 3.00% interest rate compounded annually. Then the amount will be

[tex]\rm A = 10000(1.03)^5\\\\A = 11592.74[/tex]

Then the interest will be

Interest = 11592.74 - 10000

Interest = 1592.74

The amount of interest is $1592.74.

More about the compound interest link is given below.

https://brainly.com/question/25857212

Answer:

But the average is (21 + 23 + 22 + 24 + 15)/5 =

21 eggs, Forgive me if im wrong.

Step-by-step explanation:

Answer:

The answer you get will be 2/7 or 4/14

Answer:

18.8

Step-by-step explanation:

multiply pi by the diameter (6 cm) and you get the circumference

hope that helps

Answer:

[tex]6 / \pi = 1.91[/tex] ≈ [tex]2\pi r = 2 * \pi * 6[/tex] ≈ [tex]37.69~nearest~hundredth[/tex]

Hope it helps and hope it's right.

Answer:

12350%

Step-by-step explanation:

. 76 - 34 = 42

. 42 divided by 34 = 1.23529411765

. 1.23529411765 multiplied by 100 = 123.529411765

. 123.529411765 ≈ 123.5 * 100 = 12350%

Answer:

2. 212264

Step-by-step explanation:

Area of circle: 3.14(r^2)

we need to divide the 520 in half first

520/2 = 260

Now we do the equation!

3.14(260^2)

We get 212264 as our final answer :)

Havea great day!!

Please rate!!

Answer:

a. (5x+75)°

b. x = 21

c. X° = 21° and (4x+75)°= 159°

Step-by-step explanation:

A. Combine like integers.

B. (5x+75)°=180° Because they are suplementary angles.

   5x°= 105°

   5x ÷5 = 105 ÷ 5

   x = 21

C. (4x + 75)°

   4(21) + 75

   84 + 75 = 159°

Answer:

Divide 22/5 by 4.4 and multiply by 7

Step-by-step explanation:

Answer:

Radius: about 1.42 mm

Step-by-step explanation:

First, you divide the circumference (8.9) by 3.14, or π.

Cirucmference(8.9) divided by π(3.14) = the diameter (2.83439490446)

Diameter (2.83439490446) divided by 2 = radius (1.41719745223)

Now, you have to round to the nearest hundredth.

1.41719745223 rounded to the nearest hundredth is 1.42 because the second number after the decimal is your hundredths place. If the number after the decimal is 4 or less, just remove all of the digits to the right. If it's five or more, like this case where it is 7, you add 1 to the hundredths place, then you remove all of the digits to the right.

Hope this helped :)!

Answer:

A

Step-by-step explanation:

X<Y means x is less than y-5 and you get A.

Answer:

x < y - 5

Step-by-step explanation:

"x is less than y minus 5

x < y - 5

Hope this helps!

Answer:

C. 43.6

Step-by-step explanation:

you need to take the area of each shape

lets do the skinny triangles first on the top and bottom of this shape.

so to find the formula of triangle we need to do 0.5 * 1.26 * 5.3

because the formula of a triangle is half the base times height.

so we get 0.5 * 1.26 * 5.3 = 3.339

multiply it by two and we get 6.678

now lets find the area of the huge rectangle on the back/behind of the shape

3.3*5.3 = 17.49

now lets find the area of the two smaller rectangles

3.3 * 3.6 = 11.88

2.3 * 3.3 = 7.59

now lets add

6.678 + 17.49 + 11.88 + 7.59 = 43.638

round it to 43.6

Answer:

The answer is 63

Step-by-step explanation:

You multiply all of the numbers together getting you 189. You then divide that by three because is a pyramid that gets you 63.

-I hope that helps!

Answer:

10

Step-by-step explanation:

Because the greatest was 15 and the least was 5. So 15-5=10. Hope this helps <3

Answer:

12cm

Step-by-step explanation:

The formula to find the area of a trapezoid is A = [tex]\frac{a + b}{2}[/tex]h. We replace the "a" and "b" with 6cm. We then replace the "h" with 12cm as your height is 12cm. The new formula is A = [tex]\frac{a + b}{2}[/tex]h = [tex]\frac{6 + 6}{2}[/tex] x 12. The answer to that equation is 12cm.

Answer:

Mean: 86

Meadian: 85

Mode: 85

Step-by-step explanation:

Mean: Add up all numbers and divide by 9

Median: Count a number twice such as 85, add 85+85 and divide by 2

Mode: Most occuring number. 85 is the mode.

The number of times that it is likely to land in the shaded area will be 40 times out of 100 times.

Its fundamental concept is that someone will nearly surely occur. The proportion of positive events in comparison to the total of occurrences. Then the probability is given as,

P = (Favorable event) / (Total event)

A dart is thrown at the board 100 times at random.

The number of times that dart hit the board is 40 times. Then the probability is calculated as,

P = 40 / 100

P = 2/5

P = 0.40 or 40%

More about the probability link is given below.

https://brainly.com/question/795909

#SPJ2

Answer:

Step-by-step explanation:

You can first reduce this fraction by dividing both the numerator and denominator by the Greatest Common Factor of 549 and 999. I know that

61/111

is the same as

61÷111

Then using

Long Division for 61 divided by 111

and rounding to a Max of 4 Decimal Places gives me

=0.5495/.5495

Answer:

the exact vaile is 5250.0128

Step-by-step explanation:

Answer:

1/24 cm^3

Step-by-step explanation:

V = lwh

V = 1/3(1/2)(1/4)

V = 1/24 cm^3

8 1/4 feet or

8.25 feet

Answer:

8 1/4 ft

Step-by-step explanation:

Answer:

basketball

Step-by-step explanation:

i took the test :)

Basketball have most spread out.

Option B is correct.

A standard deviation (or σ) is a measure of how widely distributed the data is in reference to the mean. A low standard deviation suggests that data is grouped around the mean, whereas a large standard deviation shows that data is more spread out.

We have

Basketball: mean absolute deviation of 4.6

Baseball: mean absolute deviation of 3.5

Soccer: mean absolute deviation of 1.2

As, a high mean absolute deviation tells us that many of the data values are spread out further from the mean.

Here Basketball have highest absolute deviation.

Thus, Basketball have most spread out.

Learn more about Standard Deviation here:

https://brainly.com/question/23907081

#SPJ3

Answer:

20

Step-by-step explanation:

So, both of those angles are equal to each other because they are congruent. So, we can set their equations equal to each other to find x.

Solve it like this:

3x + 50 = 6x - 10

-3x           -3x    (always subtracts the variables first (x), then the other numbers)

50 = 3x -10

+10        +10

60 = 3x

Then, divide both sides by the number next to the variable (3)

60/3 = 20, 3x/3 = x

So, you get:

20 = x

Answer:

About 25%

Step-by-step explanation:

If there are 8 selections the there are two spins

the 2 is divided by eight giving you 0.25 convert that into 25 and add the percentile so 25%.

Sorry if this is wrong. If this is right pls give brainlest.

Answer: you didn't put any number sentences but these all equal 2.015

2.015*1

1.0075*2

0.67166666*3

0.50375*4

0.403*5

0.3358333*6

0.28785714285714285714*7

0.251875*8

0.22388888*9

0.2015*10

Answer:

C

Step-by-step explanation:

you welcome don't know what other person was doing

Answer:

i thinks that its city suburbs farmland

Step-by-step explanation:

I think farmlands would have more groundwater

City must have least ground water as it remains like concrete tree so very less amount of water goes underground

Farm land is convered. by grass as trees so most ground water is present there

Hence the order is

City -Suburds-Farmland