Which point is the circumcenter of the triangle?

The compounded interest is applied to the amount in the account at end

of a period specified in the rate of compounding.

Reasons:

The interest paid on the account = 4% compounding

Amount with which she opened the account = $10,000

Amount she makes as deposit at the end of each quarter = $1,000

Therefore;

The interest per quarter = 4% ÷ 4 = 1%

Amount in the account after the end first quarter, A₁, is therefore;

A₁ = 10,000 × 0.01 + 10,000 + 1,000 = 11,100

The amount in the second quarter, A₂, is given as follows;

A₂ = 11,100 × 0.01 + 11,100 + 1,000 = 12211

A₃ = 12211 × 0.01 + 12211 + 1,000 = 13333.11

A₄ = 13333.11 × 0.01 + 13333.11 + 1,000 = 14466.4411

A₅ = 14466.4411 × 0.01 + 14466.4411 + 1,000 = 15611.105511

At the end of the 6th quarter, we have;

A₆ = 15611.105511 × 0.01 + 15611.105511 + 1,000 = 16767.2165991

The amount in the account at the end of 6 quarters, A₆ ≈ $16,767.2

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Answer:

Can't factorize with rational numbers

Step-by-step explanation:

The best you could do is [tex](\sqrt{7}+x)(\sqrt{7}-x)[/tex] but [tex]\sqrt{7}[/tex] is irrational.

Answer:

Step-by-step explanation:

7-x²

If we treat this as the difference of 2 squares we get

(√7 - x)(√7 + x)

Answer: 1040

Step-by-step explanation: 180+28=208

208 times 5 = 1040

Answer:

[tex]5x+2y+6=0[/tex]

Step-by-step explanation:

General equations are in the form [tex]Ax + By + C = 0[/tex]

So you can add 6 to both sides to make:

[tex]5x+2y+6=0[/tex]

Answer:

238882 -> 238881

Step-by-step explanation:

To make it not divisable by 2, you have to change the rightmost digit.

Simply divide the number by 3, round it, then multiply it by 3 again.

Answer:

y = (x-5)(x+2)

Step-by-step explanation:

the zeros are the solution to 'x' of each factor:

x-5=0;   x=5

x+2=0;   x = -2

Answer:

step A

Step-by-step explanation:

she should have added x to both sides.

Answer:

-x+6=5x+30

6=6x+30

6x=-24

x=4

if you want to get rid of the -x you have to add x not take away x

Hope This Helps!!!

This is going to take a while: get ready...

I like two-columns, so...

Statements_______________|_____Reasons___

l||m                                                        Given

angle 1 congruent angle 7                   Given

angle 3 congruent angle 5                 corresponding                                                                            alternate angles

a||b                                                       CPCTC

I usually do proofs for triangles, not parallel lines, but I hope this helped!

Answer:

ililil

Step-by-step explanation:

Answer:

2nd option

Step-by-step explanation:

[tex]\frac{\sqrt{2} }{3}[/tex] r + 1 = 23 ( subtract 1 from both sides )

[tex]\frac{\sqrt{2} }{3}[/tex] r = 22 ( multiply both sides by 3 to clear the fraction )

[tex]\sqrt{2}[/tex] r = 66 ( divide both sides by [tex]\sqrt{2}[/tex] )

r = [tex]\frac{66}{\sqrt{2} }[/tex] × [tex]\frac{\sqrt{2} }{\sqrt{2} }[/tex] ( rationalising the denominator )

r = [tex]\frac{66\sqrt{2} }{2}[/tex] = 33[tex]\sqrt{2}[/tex]

Answer:

B) r=33*sqrt(2)

Step-by-step explanation:

sqrt(2)/3r+1=23

sqrt(2)/3r=23-1

sqrt(2)/3r=22

sqrt(2)r=22*3

sqrt(2)r=66

r=66/sqrt(2)

r=66*sqrt(2)/(sqrt(2)*sqrt(2))

r=(66*sqrt(2)/2

r=33*sqrt(2)

Answer:

1960

Step-by-step explanation:

First, carry out the operation inside the parentheses: 495-475= 20. Next, follow the order of operations and do 87*20= 1740. Then, go from left to right, adding 1740 + 1084= 2824. Now, subtract all of that by 864. 2824-864= 1960.

Answer:

P= -88

Step-by-step explanation:

Since P=xy (Or x times y)

We can solve it since we know that x and y is: 8 and -11

So 8 times -11

Which is -88

Thus P= -88

Hope this helps!

Answer: 49/55

7/11 x 7/15 x 3

49/165 * 3

147/165

49/55

Step-by-step explanation:

multiply the first equation by 1, the second by -1 and add.

x + 2y = -16

-x - 6y = 28

--------------------

0 - 4y = 12

-4y = 12

y = -3

x + 2×-3 = -16

x - 6 = -16

x = -10

8*1/4=2

sarina can play 2 instruments

Answer:

2

Step-by-step explanation:

8 divided by 4 is 2

1/4 of 8 is 2

Answer:

y=-3

x=3

Step-by-step explanation:

x=-2y

x-y=9

substitute -2y for x in the second equation

you get:

-2y-y=9

combine like terms

-3y=9

divide by -3 on both sides

y=-3

Answer:

Hope this helps! <3

Step-by-step explanation:

The slope or increase in cost per pound is 3. (1 pound of grapes costs $3)

The cost to employ the contractors is $11250

The general cost to employ someone is between 1.25 and 1.40 of their real wage. This means the real wage is lower than the cost to employ that person.

Moreover, to determine the cost to employ the contractors, we need to determine their total wage:

Now, for all the machines to be repaired you will need to pay a total of $9000

Finally, let's find out the cost using the minimum rate.

$9000 x 1.25 = $11,250

Learn more about general cost in: https://brainly.com/question/3902215

Answer:

$8800

Step-by-step explanation:

Let x be the number of months contract A is employed and let y be the number of months contractor B is employed. Since we are trying to minimize cost, our objective function represents the total cost to employ contractor A and contract B. This function is defined by

C(x,y)=800x+1000y

The first constraint is that the company needs to have 12 IBM copying machines serviced and we know that contractor A can repair 2 IBM copying machines and contractor B can repair 1 IBM copying machines. This translates into the following inequality.

2x+y≥12

The second constraint is that the company needs 18 Xerox copying machines serviced and we know that contractor A can repair 1 Xerox copy machines while contractor B can repair 3 Xerox copy machines. This translates into the following inequality.

x+3y≥18

The third constraint is that the company needs 20 Canon copying machines serviced and we know that contractor A and contractor B can repair 2 Canon copy machines each. This translates into the following inequality.

2x+2y≥20

The fact that x and y must be positive numbers is represented by the following two constraints:

x≥0,y≥0

Using all of this information, our problem is as follows.

Minimize: C(x,y)=800x+1000y

Subject to: 2x+y≥12

x+3y≥18

2x+2y≥20

x≥0

y≥0

The corner points are:

(0,12),(18,0),(2,8),(6,4)

The point (6,4) gives lowest cost: $8800

Answer:

Part A. 4x

Part B. Mr. Jefferson could ride 3 miles in 12 minutes

Step-by-step explanation:

Part A. 4 being the time it takes him to travel 1 mile and x being the number of miles rode.

Part B. To find the time it took him to travel each mile I divided 20 by 5 which gave me four. Then to find the miles he could ride in 12 minutes I divided 12 from 4 which gave me three, stating that he could travel 3 miles in 12 minutes.

__________________________________________________________

Hope this helps!!!

If I am incorrect, please tell me; I enjoy learning form my mistakes:)

Answer:

x = 3

Step-by-step explanation:

7- 3x = 2x - 8

7 = 5x - 8                   Add 3x on both sides

15 = 5x                       Add 8 on both sides

3 = x                            Divide both sides by 5

60m

How?

5m × 3m × 4m

5m × 3m = 15m

15m × 4m = 60m

Therefore

the answer is 60

Answer:

Option A, - 6

Step-by-step explanation:

The zero of a function is the value on the x-axis when y is 0

Answer:

the answer is -9

Step-by-step explanation:

the answer is -9 becaise

Answer: SAS

Because there is a mark showing that one pair of sides are congruent, the stars showing that one pair of angles are congruent, then the triangles are sharing a line (which means that they are congruent)

Answer:

  126 cm^2

Step-by-step explanation:

The surface area of one cube face is (3 cm)^2 = 9 cm^2.

Each cube has 6 faces, but joining them together hides 4 of the faces. The surface area of the resultant solid is ...

  (6·3 -4)·(9 cm^2) = 126 cm^2

Answer:

12. ⇒ 218 °

13. ⇒ 282 °

Step-by-step explanation:

Problem 12:

Given - MK = 10 m

JK = 52 °

Since ∠LNJ = 90 °

Then LKJ = 90 °

So, KL = 90 ° - 52 ° = 38 °

Now, MK = 180 °

= MKL = MK + KL

= 180 ° + 38 °

= 218 °

Problem 13:

VYX = 360° - (YW + 15°)

YW = 180° - 117° = 63°

VYX = 360° - (63° + 15°) = 360° - 78° = 282°

Answer:

Step-by-step explanation:

The horizontal asymptote of the function [tex]g(x) = \frac{4x}{7}[/tex] is 4

Given the function, [tex]g(x) = \frac{4x}{7}[/tex], the horizontal asymptote is the coefficient of the variable of the function at the numerator.

From the given function, the expression at the numerator is 4x.

Similarly for the expression h(x) = 4x, the coefficient of the expression is 4

Learn more on horizontal asymptote here: https://brainly.com/question/21678319

Answer: C

Step-by-step explanation: because if you use substutuion you get it from proccess of elimaniation