Lana wants to have $100,000 in 20 years. She plans to invest $8,000 to start and make yearly payments of $1,500 to the account. She will be receiving 7.5% interest compounded monthly on her investment. Will she reach her goal?
No
Yes

Answer:

17 chairs in 30 minutes

Step-by-step explanation:

272/8 = 34

34/2 = 17

17 there ya go

Answer:

1.000

Step-by-step explanation:

Answer:

2

Step-by-step explanation:

f(-1) = (-1)² + 3 = 1 + 3 = 4

f(3) = 3² + 3 = 9 + 3 = 12

average rate of change= [ f(3) - f(-1) ] ÷ [ 3-(-1) ] =

(12-4)÷(4) = 8÷4 = 2

the average rate of change is the slope of the drawn green line .

Answer:

x=22

Step-by-step explanation:

Supplementary means that the two angles that are supplementary equal 180 degrees. 180-m<2=m<1

180-92=88 (m<2=92)

m<1=88

m<1=4x

4x=88

x=22

huh huh huh huh huh huh huh huh huh

Answer:

A. x=4

Step-by-step explanation:

The y-axis is a vertical line at x=0, so for a line to be parallel to x=0, x must equal another constant. Option A is the only option that has a constant.

Answer:

482.56667

Step-by-step explanation:

Have a great day hope it helps:)

Answer:

Just one solution, u = -9

Step-by-step explanation:

-6u=9-5u

-u = 9

u = -9

Answer:

Just one solution, u = -9

Step-by-step explanation:

-6u=9-5u

-u = 9

u = -9

Step-by-step explanation:

Make sure to see the photo I tried to explain every part there

Answer:

you move the decimal 2 spaces

Step-by-step explanation:

So, the decimal is at the end of a number right? You move the end decimal two spaces to the right.

Example: make 2 into a percentage

2.00

----->two spaces

So, 2 = 200%

HOPE THIS HELPS

Answer:

Really simple!

All you have to do is take the decimal form of the number and multiply it by 100 and then add the percent sign

Step-by-step explanation:

Example 1: 10

Decimal form: 0.10

Convert it into a percent: 0.10 * 100 =10%

Example 2: 67.5

Decimal Point: 0.675

Convert it into a percent: 0.675 * 100 =67.5%

Answer: g(x) is shifted 3 units right and 9 units up.

Step-by-step explanation:

Answer:

B. g(x) is shifted 3 units right and 9 units up

Step-by-step explanation:

Answer:

Step-by-step explanation:

Find the unit rate for both the deals.

$20 for 5 shirts

Cost of one shirt = 20 ÷ 5 = $ 4

$24 for 8 shirts

Cost of 1 shirt = 24 ÷ 8 = 3

⇒ 8 shirts for $ 24 is the better deal

The value of c that makes the equation true is: c = -13/21.

An equation is a mathematical statement whose values on the right and left sides are equal.

Given:

c + 15 = 23c + 2 − 43c

Find the value of c

c + 15 = -20c + 2

c + 20c = -15 + 2

21c = -13

c = -13/21

Thus, the value of c that makes the equation true is: c = -13/21.

Learn more about equation on:

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The value of c which makes the equation c + 15 = 23c + 2 − 43c true is –13/21

c + 15 = 23c + 2 − 43c

The value of c in the expression above can be obtained as illustrated below:

c + 15 = 23c + 2 − 43c

Collect like terms

c – 23c + 43c = 2 − 15

21c = –13

Divide both side by 21

c = –13/21

Thus, from the calculation made above, we can conclude that the value of c which makes the equation true is –13/21

Learn more about algebra:

https://brainly.com/question/953809

x < 22.5; Samuel has less than 22.5 minutes to finish the race in the estimated time.

The given inequality is-

[tex]10x < 33[/tex]

From here, we define the variable x.

x = Number of the minutes left for the race

From here we can find the value of x

We have then:

[tex]x < 33-10.5[/tex]

[tex]x < 22.5[/tex]

Hence, Samuel has less than 22.5 minutes to finish the race in the estimated time.

To know more about inequality follow

https://brainly.com/question/24372553

Rounding off is basically a approximate value written in compact form for our convenience when precise  accurate result is not that necessary.

A decimal is a point or a dot separating the whole part and the fractional part of the number.Now rounding off numbers to certain decimal places has a condition if the digits just after the decimal is more than half we take the upper value if itis less than half we take the lower value.

Given in this question let's go by rounding off from 1 place to 4 for better understanding.

rounding off 24513589 to one decimal place = 2451359.0

rounding off 2451359.0 to one decimal place = 245136.0

rounding off 245136.0 to one decimal place = 24514.0

rounding off 24514.0 to one decimal place  = 2451.0

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Answer:

a) 16

b) [tex]2^{4}[/tex]

c) [tex]16*8=128[/tex]

d)  [tex]2^7[/tex]

e) [tex]2^5*2^1=64=2^6[/tex]

f) [tex]2^8[/tex]

Since 0 < y < 1.5, hence the coordinate (1,1) is a solution

Given the following inequality expression

y>0

y< 2.5x - 1

Wee are to check if (1, 1) is a solution to the systen of equation

If x = 1

y < 2.5(1) - 1

Y < 2.5 - 1

y < 1.5

Since 0 < y < 1.5, hence the coordinate (1,1) is a solution

Learn more on inequality here: https://brainly.com/question/24372553

Answer:

0.23

0.569

1.03

0.0009 i think

Step-by-step explanation:

umm when you convert to decimal you move the decimal point two times to the left i think

Each package weighs 6 pounds. Choose the best estimate of the total weight of the packages.2,400 pounds 240 pounds 200 pounds 20 pounds.

The sector area created by the hands of a clock with a radius of 9 inches when the time is 4:00 is 27π square inches. Then the correct option is C.

It is a locus of a point drawn at an equidistant from the center. The distance from the center to the circumference is called the radius of the circle.

The sector area is created by the hands of a clock with a radius of 9 inches when the time is 4:00.

Then the radius (r) is 9 inches and the angle is 120°.

We know that the area of the sector is given by

[tex]\rm Area\ of \ sector = \dfrac{\theta}{360} \pi r^2 \\\\\\Area\ of \ sector = \dfrac{120}{360} \pi * 9^2\\\\\\Area\ of \ sector = 27 \pi[/tex]

The sector area created by the hands of a clock with a radius of 9 inches when the time is 4:00 is 27π square inches. Then the correct option is C.

More about the circle link is given below.

https://brainly.com/question/11833983

Answer:

B. I think it should be 4±[tex]2\sqrt{3}[/tex]. Correct me if I am wrong.

Step-by-step explanation:

Hope this helps!

The solutions of the given quadratic equation are x=+√12+4 or x=-√12+4.

Steps

Step 1: Divide all terms by a (the coefficient of x2).

Step 2: Move the number term (c/a) to the right side of the equation.

Step 3: Complete the square on the left side of the equation and balance this by adding the same value to the right side of the equation.

The given quadratic equation is 3x²-24x+40=28.

3x²-24x+40-28=0

3x²-24x+12=0

x²-8x+4=0

x²-8x=-4

Now, -8/2 =4 and square of 4 is 16.

Add and 16 on both sides of an equation, we get

x²-8x+16=-4+16

(x-4)²=12

x-4=±√12

x=±√12+4

x=+√12+4 or x=-√12+4

Therefore, the solutions of the given quadratic equation are x=+√12+4 or x=-√12+4.

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[tex]\qquad \qquad\huge \underline{\boxed{\sf Answer}}[/tex]

let's simply the expression ~

[tex]\qquad \sf  \dashrightarrow \: 10( - 8x + 7) - 9x[/tex]

[tex]\qquad \sf  \dashrightarrow \: (- 80x + 70 )- 9x[/tex]

[tex]\qquad \sf  \dashrightarrow \: - 80x - 9x + 70[/tex]

[tex]\qquad \sf  \dashrightarrow \: - 89x + 70[/tex]

Hope it helps ~

Answer:

Step-by-step explanation:

So for question 1, we can see that we have a 30 60 90 triangle with a hypotenuse of 9.

So therefore, y=9/2 and x=4.5sqrt3.

If the equation is -51u and u = 0,

then -51 (0) = 0

Hope that helps!

Answer:

Step-by-step explanation:

-[tex]-\frac{1}{5} (x-25)=7\\x-25=7 \times -5\\x-25=-35\\x=-35+25\\x=-10[/tex]

Answer:

24 degrees

Step-by-step explanation:

total degrees in a triangle is equal to 180 degrees.

180 - 132 = 48

since there are two unknown angles, we have 48 by 2 which is 24.

48/2=24 degrees

Answer:

[tex]\huge\boxed{\sf{x=24}}[/tex]

Step-by-step explanation:

Hello.

The sum of all three angles in a triangle = 180 degrees

Now, what is the value of x?

The 2 sides of the triangle are equal, thus, the angles are equal.

Write the equation

x+x+132=180

Combine like terms

2x+132=180

Subtract 132 from both sides

2x+132-132=180-132

2x=180-132

2x=48

Divide both sides by 2

x=24

I hope it helps.

Have a great day.

[tex]\boxed{imperturbability}[/tex]

Answer:

the answer is log3 (2x+8)=log3 x²

Step-by-step explanation:

log3(2x^4+8x^3)-3log3x=2log3x

simplifying the above we get:

log3(2x^4+8x^3)=2log3x+3log3x

log3(2x^4+8x^3)=5log2x

Hence the answer should be:

log3 (x³)*(log3(2x+8))=5log3 x

3log3 x+log3(2x+8)=5log3 x

log3(2x+8)=5log3 x-3log3 x

log3 (2x+8)=2log3 x

log3 (2x+8)=log3 x²

Answer:

 Plug it into desmos, and you're good to go.

The file below has the screenshot of the equation graphed.