QUESTION 6 of 10: You expect your expenses to grow non-linearly over time by the following formula: expenses = 4,000 + 20,000 x (1.5)
where t is the number of months in business. What are your estimated expenses after 6 months ?
a) $231,813
b) $242,131
c) $277,961
d) $282,918

Answer:

The area will be:

[tex]A=18(1+\sqrt{3}) \: u^{2}[/tex] or [tex]A=49.18 \: u^{2}[/tex].

Step-by-step explanation:

Using the definition of tangent, we have:

[tex]tan(\alpha)=\frac{6}{\vec{AB}}[/tex]

We know that tan(α) = 1, then we can find AB

[tex]1=\frac{6}{\vec{AB}}[/tex]

[tex]\bar{AB}=6\: u[/tex]

u means any unit.

Now, we need to find the distance BC. If the angle ∠D is 60°, then ∠C must be 30°. Using the tangent definition in the triangle BCD we have:

[tex]tan(30)=\frac{6}{\bar{BC}}[/tex]

[tex]\bar{BC}=\frac{6}{tan(30)}[/tex]

[tex]\bar{BC}=\frac{6}{1/\sqrt{3}}[/tex]

[tex]\bar{BC}=6\sqrt{3} \: u[/tex]

So, the base of the triangle will be:

[tex]b=\bar{AB}+\bar{BC}=6+6\sqrt{3}=6(1+\sqrt{3}) \: u[/tex]

The area of a triangle is given by the following equation:

[tex]A=\frac{b*h}{2}[/tex]

[tex]A=\frac{6(1+\sqrt{3})*6}{2}[/tex]

[tex]A=18(1+\sqrt{3})[/tex]

Therefore, the area will be [tex]A=49.18 \: u^{2}[/tex].

I hope it helps you!

Answer:

the graph is not exponential because exponential is represented as a form of exponenti growth or exponential decay. Exponential function has a slight curve rather than a straight line

Answer:

Each cheerleader needs to raise 38.14 more

Step-by-step explanation:

Answer:

They each need to raise $38.14.

Step-by-step explanation:

For this problem, I started off by subtracting 317.30 from 622.42.

(622.42-317.30) This gave us 305.12.

I did this, because we are trying to find the amount of money the cheerleaders have left to make.

Next, we will divide the difference of this equation (305.12) by 8.

We did this because there are 8 cheerleaders, and they all made the same amount of money.

This leaves us with an answer of:

Each cheerleader has exactly $38.14 left to make.

Answer:

-3y - 7x - 5

General Formulas and Concepts:

Pre-Algebra

Distributive Property

Algebra I

Step-by-step explanation:

Step 1: Define

(4y - 3x - 2) - (7y + 4x + 3)

Step 2: Simplify

The circumference when the area of a circle is 16π ft² is 8π feet.

The area of a shape simply means the total space that is taken by the shape. It simply expresses the extent of the region on a particular plane as well as a curved surface.

From the information given the area of a circle is 16π ft² be we want to calculate the circumference, in feet. This will be Illustrated this:

Circumference of a circle = 2πr

Area of a circle = πr²

r = radius.

Therefore, based on the information regarding the area given, the radius will have to be calculated first.

Area = 16π

πr² = 16π

r² = 16π / π

r² = 16

r =✓16

r = 4

Radius = 4ft.

Therefore, the circumference will be:

= 2πr

= 2 × π × 4

= 8π

Circumference is 8π feet.

Learn more about area on

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Answer:

for saken it is better to use ordinary calculator than cp because they have a big difference. That's all I can say

Step-by-step explanation:

step 1. let's call the line in the middle y.

step 2. y = sqrt(5^2 + 7^2) = sqrt(74). pythagorean theorem.

step 3. x^2 + y^2 =100 (pythagorean theorem))

step 4. x^2 + (sqrt(74))^2 = 100.

step 5. x^2 = 100 - 74

step 6. x^2 = 26

step 7. x = sqrt(26). note: sqrt is the square root.

The value of the x is [tex]\sqrt{26}[/tex].

To understand more, check below explanation.

Apply Pythagoras theorem in right side triangle,

            Hypotenuse[tex]=\sqrt{5^{2}+7^{2} } =\sqrt{25+49}=\sqrt{74}[/tex]

Now apply Pythagoras theorem in the left side triangle,

              [tex]Hypotenus^{2} +x^{2} =10^{2} \\\\(\sqrt{74} )^{2} +x^{2} =100\\\\x^{2} =100-74=26\\\\x=\sqrt{26}[/tex]

Hence, the value of the x is [tex]\sqrt{26}[/tex].

Learn more about the Pythagoras theorem  here:

https://brainly.com/question/21332040

Answer:

18

Step-by-step explanation:

18 US tons are equal to 36,000 pounds

Answer:

Step-by-step explanation:

c = 60w

390 = 60w

w = 6.5 kilograms

Answer: 6/19

Step-by-step explanation:

To solve this question, find out the number of multiples of 3 between the numbers 1 - 19.

The multiples of 3 there are:

= 3, 6, 9, 12, 15 and 18

There are 6 multiples.

Probability will therefore be:

= Number of multiples of 3/ Total number of cards

= 6/19

Answer:

i think it would be 2 because its in the middle of the slope and it would make scence

Step-by-step explanation:

Answer:

The graphs do intersect at two values of x;

x = 1

and

x = -1

Step-by-step explanation:

We have the two equations:

y = 2*x - 9

y = -(x - 1)^2 - 7

We know that when we graph these equations, the graphs do intersect.

if the graphs intersect, then we must have at least one point (x, y) that is a solution for both equations.

because in this point y is the same for both equations, then we can write:

2*x - 9 = y = -(x - 1)^2 - 7

this leads to the equation:

2*x - 9 = -(x - 1)^2 - 7

now we can solve this for x.

2*x - 9 + (x - 1)^2 + 7 = 0

2*x + x^2 - 2*x + 1 + 7 - 9 = 0

x^2 - 1 = 0

x^2 = 1

x = √1

Then we have two possible solutions:

x = 1, and x = -1

Answer:

a box of plan B cost roughly $50.00

it is pretty expensive but you don't need an I.D.

Step-by-step explanation:

Answer:

let natural no be 1

(5.1-4)^2-(2.1+11)^2/21

25-16-4-121/21

-5.52

Step-by-step explanation:

plz maje me brainliest

Answer:

Step-by-step explanation:

Answer: W=25 and L=50

Step-by-step explanation: I first started out with 50, because 50 is half of 100. 50 divided by 2 equals twenty five. Now, I moved on to 100. 100 divided by 2 equals 50. 25+25+50+50=150.

Answer:

The width of the basketball court is 25 feet and the length is 50 feet

Step-by-step explanation:

Equations:

Let's make:

x = width of the basketball court

2x = length of the basketball court

The perimeter of the court is twice the width plus twice the length:

P = 2x + 2(2x)

P = 2x + 4x = 6x

It's known to be 150 feet, thus:

6x = 150

Dividing by 6:

x = 150/6

x = 25 feet

2x = 50 feet

The width of the basketball court is 25 feet and the length is 50 feet

Answer:

Step-by-step explanation:

Ted will save $15.

Answer:

He will save $17.7.

Step-by-step explanation:

30% of 59= 41.3

59-41.3= 17.7

Answer:

Step-by-step explanation:

lets remove the paranthesis and multiply

-5-3(4x-9)=

=-5-12x+27=

=-12x+22

Answer:

I think it's -180

Step-by-step explanation:

He keeps descending -15 feet every 1 minute

1 x -15 = -15

2 x -15 = -30

12 x -15 = -180

Answer:

x=20

Step-by-step explanation:

Rewrite the equation as  

x /32 = 5/ 8

Multiply both sides of the equation by 32

32 ⋅ x /32 = 32 ⋅ 5/8

Simplify both sides of the equation.

Cancel the common factor of  

32

Cancel the common factor.

Rewrite the expression.

x = 32 ⋅ 5/8

Simplify  

32⋅5/8

Cancel the common factor of  

8

Factor  8  out of  32

x = 8 ( 4 ) ⋅ 5/8

Cancel the common factor.

Rewrite the expression.

x = 4 ⋅ 5

Multiply  4  by  5

Answer:

x = 2/3 and y = 8/9

Step-by-step explanation:

If a parallelogram INDY has diagonals that intersects at P, then O bisects ID and YN

Hence IP = PD and NP = YP

Given

IP=3x

DP = 6x - 2

NP = 3y and

YP=7x-2,

Substitute

3x = 6x-2

3x-6x = -2

-3x = -2

x = 2/3

x = 0.67

Also NP = YP

3y = 7x-2

3y = 7(2/3) - 2

3y = 14/3 - 2

3y = 14-6/3

3y = 8/3

9y = 8

y = 8/9

Hence x = 2/3 and y = 8/9

Answer:

where.... are the expressions?

Step-by-step explanation:

Answer:

The most logical choice for the expression would be 5m + 5c = E

But it could also be 5(m + c) = E

Answer:

1.5

Step-by-step explanation:

divide 88÷60=1.4666667

simplify to nearest 10th

Answer:

31.5

and

32,4

Step-by-step explanation:

Answer: −8x+24y+72

-8(x - 3y - 9)

=(-8)(x + -3y + -9)

=(−8)(x)+(−8)(−3y)+(−8)(−9)

=−8x+24y+72

Step-by-step explanation:

im not entirely sure but i hope this helps

:) have a nice day !!

Answer:

6x−12x^2

Step-by-step explanation:

Answer:

Evaluated it is 6x-12x^2

Step-by-step explanation:

3x*2=6x

add minus sign

3x*4x=12x

Since 2 x add 2 as an exponent!