Glen received $2,250 loan from bank. After six months, he paid back $2,295 and closed the loan. Find the rate of interest

Final answer:

The correct point that lies on the circle defined by the equation (x − 5)² + (y + 3)² = 25 is point C (2, 1), as substituting these values into the equation results in 25, which matches the right side of the equation. Thus, option C is correct.

Explanation:

To find which point is on the circle given by the equation (x − 5)² + (y + 3)² = 25, you can plug the x and y values from each option into the equation and see if it holds.

For point A (5, − 3), the equation becomes (5 − 5)² + (− 3 + 3)², which simplifies to 0 + 0 = 0. This is not equal to 25, so point A is not on the circle.

For point B (8, − 6), the equation becomes (8 − 5)² + (− 6 + 3)², which simplifies to 9 + 9 = 18. This is not equal to 25, so point B is not on the circle.

For point C (2, 1), the equation becomes (2 − 5)² + (1 + 3)², which simplifies to 9 + 16 = 25. This is equal to 25, so point C is on the circle.

For point D (4, − 8), the equation becomes (4 − 5)² + (− 8 + 3)², which simplifies to 1 + 25 = 26. This is not equal to 25, so point D is not on the circle.

The correct answer is point C (2, 1), as it satisfies the equation of the circle.

Answer:

3.6

Step-by-step explanation:

3z when z = 1.2

3(1.2)= 3 x 1.2

= 3.6

Answer:

3.6

Step-by-step explanation:

You plug in 1.2 to x

3(1.2)

do 12x3=36

Then add the decimal point

3.6

Answer:

Option C

Step-by-step explanation:

If angle w is 112, angle x has to also be 112

so 112+112=224

all of the angles summed up has to 360, so you subtract 360-224

which equals 136

then divide by 2 and you get 68

Hopefully this makes sense

Answer:

The answer is C: 68

Step-by-step explanation:

The trapezoid has a total amount of 360 degrees.

W = 112 degrees.

W and X are congruent so X also equals 112

SO if you add them together, it is equal to 224.

Subtract from 360 and 136 is left.

Divide by 2 because there is Z and Y(2 angles left) which are also congruent.

This gives the angles measurements of 68 for both Z and Y

Answer:

yes, if this is not how you do it i am sorry i tried :(

Step-by-step explanation: Because 8 squared is 64, 15 squared is 225 and 17 squared is 289, 64+225=289 so it will form a right triangle and 289 squared is 17.  

The correct statement in the box plot is that the ranges of the box plot is the same but the interquartile range are different

How to find the range

The range in a box plot is the difference between the maximum and minimum values

Solving for the range

Marc's class: 10 - 1 = 9

Sue's class: 12 - 3 = 9

Solving for the interquartile range

Marc's class: 9 - 3 = 6

Sue's class: 10 - 5 = 5

The amount of the IRS fee you will have to pay is A. $750.00.

Percentage is defined as the parts of a number per fraction of 100. We have to divide a number with it's whole and then multiply with 100 to calculate the percentage of any number.

Percentage is usually denoted by the symbol '%'.

Given that,

Amount you invested at the age of 40 = $20,000

You will receive payments at the age of 50.

Amount withdrawn at the age of 47 = $7500

IRS charges 10% if you withdraw before you are 59.5.

Since your age is 47, you have to pay 10% IRS fees.

IRS fees = 10% of 7500

              = 10/100 × 7500

              = $750

Hence the IRS fee you will have to pay is A. $750.00.

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Answer:

5000 + 400 + 80 + 2

Answer: 64.08

Step-by-step explanation:

Since the 8 is in the hundredth place and there's no thousandths place the number doesn't change leaving u with 64.08

She will gain $ 6885.4896 after 10 years if she chooses 3.85% account.

Step-by-step explanation:

Given,

Principle (P) = $ 15000

Time (T) = 10 years

Rate of interest (R) = 3.85%

To find the compound interest.

Formula

CI = [tex]P(1+\frac{R}{100} )^{T}-P[/tex]-P

Putting the values we get,

CI =  [tex]15000(1+\frac{3.85}{100} )^{10}-15000[/tex]

= 21885.4896-15000

= 6885.4896

Hence,

She will gain $ 6885.4896.

The answer for this question is C

Answer:

I believe the answer is 12 hours long all year seen a diagram of the earths axis over all the  year

Step-by-step explanation:

Final answer:

To find the width (w) of the rectangle, set up an equation using the given information and the formula for the perimeter of a rectangle. Solve the equation to find the width.

Explanation:

To find the width (w) of the rectangle, we can set up an equation based on the given information and the formula for the perimeter of a rectangle. Let's start by assigning variables: let w be the width of the rectangle and let l be the length of the rectangle. According to the problem, the length of the rectangle is 4 feet less than 3 times its width. So we have the equation l = 3w - 4. The perimeter of a rectangle is given by the formula P = 2(l + w), where P is the perimeter. Since the perimeter is given as 54 feet, we have the equation 54 = 2(l + w). We can substitute the expression for l from the first equation into the second equation: 54 = 2((3w - 4) + w). Simplifying this equation will allow us to solve for the width (w) of the rectangle.

Answer:

Answer is option b) 7.2×10^7

Step-by-step explanation:

[tex]we \: know \: that \: \\ {a}^{m} \times {a}^{n} = {a}^{m + n} \\ {10}^{5} \times {10}^{2} = {10}^{5 + 2} \\ = {10}^{7} \\ 4.5 \times 1.6 = 7.20 \\ = 7.2 \\ hence \: the \: answer \: is \: 7.2 \times {10}^{7} [/tex]

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THANKS FOR GIVING ME THE OPPORTUNITY TO ANSWER YOUR QUESTION.

The product of 4.5 ⋅ 105 and 1.6 ⋅ 102 is 7.2 ⋅ 107. This is achieved by first multiplying the coefficients (4.5 and 1.6), and then adding the powers of 10 (105 + 102).

First, to multiply these numbers in scientific notation, we begin by multiplying the coefficients and then add up the powers of 10.

So, 4.5 ⋅ 1.6 = 7.2 and then 105 + 102 = 107. Therefore, the product of 4.5 ⋅ 105 and 1.6 ⋅ 102 is 7.2 ⋅ 107. This means it is the second option listed in your potential multiple choice answers above.

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Answer:

easy so first 190-15=175  175 lbs. is the light heavyweight class weight limit

Step-by-step explanation:

Answer:

q=1

Step-by-step explanation:

5+4q=6+3q

subtract 3q on both sides

5+q=6

subtract 5 on both sides

q=1

BRANLIEST PLZ!!!!

Answer:

q=1

Step-by-step explanation:

5+4q=6+3q

  -3q      -3q

5+q=6

-5      -5

     q=1

Answer:36 units2

Step-by-step explanation:

Took the testc

The sum of the areas of the two shaded sectors is 36 π units²

A sector is said to be a part of a circle made of the arc of the circle along with its two radii.

Given that a circle, with central angle 80° and the radius is 9 units

So, area of a sector = θ/360° x π x radius², where θ = central angle

Since, both the sectors are vertically opposite to each other so will same areas,

Therefore, the area of the two shaded sectors,

= 2θ/360° x π x radius²

= 2·80/360 × π × 9²

= 4/9 × π × 81

= 36π

Hence, the sum of the areas of the two shaded sectors is 36 π units²

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The complete question is attached

Answer:

Expression: 12/(3*4)

Answer: 1

Step-by-step explanation:

[tex]\frac{12}{3*4} \\[/tex]

[tex]\frac{12}{12}=1[/tex]

Final answer:

The phrase 'the quotient of 12 and the product of 3 and 4' translates to the algebraic expression 12 ÷ (3 × 4), which simplifies to 1.

Explanation:

To translate the given phrase into an algebraic expression, we need to understand the terms used. The phrase is 'the quotient of 12 and the product of 3 and 4'. A 'quotient' is the result of division, and a 'product' is the result of multiplication. First, let's find the product of 3 and 4, which is 3 × 4. This equals 12. Now, we take the quotient of 12 by that product, which means we divide 12 by 12. So, the algebraic expression is 12 ÷ (3 × 4).

When we simplify this expression, since 3 × 4 equals 12, and 12 divided by 12 is 1, the expression simplifies to 1. Therefore, the simplified algebraic expression for the phrase 'the quotient of 12 and the product of 3 and 4' is 1.

Huh, alright?

The equation would be (n - 14) / 3 = -8

Hope that helps! :)

Answer:

4+36x

Step-by-step explanation:

Use the distributive property to multiply the equation. 1 times 4 is 4. 9 times 4 is 36 and you must leave the x as a variable.

Answer:

1st one

Step-by-step explanation: The line is the average of all the dots

Answer:

B

Step-by-step explanation:

Got it right

Answer:

answer is 1230

Step-by-step explanation:

0.000000123 since 10 is positive you go right 10 times i hope this is right

Answer:

64

Step-by-step explanation:

take 2x12=24+8=32x2=64

Answer:

64 is the answer.

Step-by-step explanation:

To solve this problem, you need to follow the rules of PEMDAS.

That means what is the the parentheses is solved first, then exponents, then you solve the multiplication and division, and then you solve the addition and subtraction.

2*12 is the most specific parentheses, therefore it is solved first.

2*12 equals 24.

The problem is now

[8+24] *2

Then you add 8 and 24, which is also in the parentheses.

8 + 24= 32

The problem is now :

32*2

Then you solve the multiplication.

32*2= 64

Therefore the answer is 64.

Answer:

2 hours

Step-by-step explanation:

30 miles/x hours = 15 miles/1 hour

30 = 15x

x = 2 hours

To find the time it took to get to the store, divide the distance traveled (30 miles) by the average speed (15 mph), which results in 2 hours. Thus, the trip took 2 hours.

To calculate the time it took to get to the store, we can use the formula time = distance ÷ speed. In this case, the vehicle traveled 30 miles at an average speed of 15 miles per hour. Therefore, the time can be calculated as follows:

Time = 30 miles ÷ 15 miles per hour = 2 hours.

So, it took 2 hours to get to the store.

Answer:

its 1234

Step-by-step explanation:

Answer:

64

Step-by-step explanation:

832/13

Answer:

127.4

Step-by-step explanation:

a^2+b^2-2(ab)CosC

The side f will be 127.41 cm long.

The law of cosine states that the square of any one side of a triangle is equal to the difference between the sum of squares of the other two sides and double the product of other sides and cosine angle included between them.

Given is triangle DEF, we need to find the length of the side f, if d = 92 cm, e = 42 cm and ∠F = 141°.

So, using the cosine law,

[tex]c^2=a^2+b^2-2ab\cdot \cos \left(\gamma \right)[/tex]

Therefore,

[tex]f=\sqrt{d^2+e^2-2de\cos 141_{\degrees}[/tex]

[tex]f=\sqrt{42^2+92^2-2\cdot \:42\cdot \:92\cos \left(141^{\circ \:}\right)}[/tex]

f = 127.41

Hence the side f will be 127.41 cm long.

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Answer:

"Create a circle whose center is one of the endpoints of the segment. The length of the radius of the circle is one of the other given lengths." is not necessary to create a triangle

Step-by-step explanation:

Should be around 150 as 3/6 of the numbers on a die are even so thats 1/2 and 300x(1/5) or just 300x0.5 or just 300/2 equals to 150

Theoretically, it would be 150 times that it rolls even. For half of the dice's sides being even and an equal chance of it landing on any of them.

Experimentally, it could be anything between 0-300, although after so many trails in it, it would be extremely likely that it would be near 150.

If it was only 10 trials of instance it would likely have a greater margin of difference compared to the theoretical probability.

Answer:

20

Step-by-step explanation: