base=?
height=7
volume=?​

Answer:

  (B)  $200,000

Step-by-step explanation:

The value of the simple interest account can be found using the formula ...

  A = P(1 +rt) . . . . . where P is the principal invested at rate r for t years

__

Using the given values, we find the value of the account to be ...

  A = $125,000(1 +0.04×15) = $125,000(1.6)

  A = $200,000

Katie's savings will be worth $200,000 after 15 years.

Answer:

Given inequality:  [tex]x+8y\leq 24[/tex]

Part A

Solid line: ≤ or ≥

Dashed line: < or >

Therefore, the line will be solid.

Part B

Shading above the line: y > or y ≥

Shading below the line: y < or y ≤

Therefore, shade below the line.

Part C

Make y the subject to determine where to shade.

Given inequality:  

[tex]x+8y\leq 24[/tex]

Subtract x from both sides:

[tex]8y\leq 24-x[/tex]

Divide both sides by 8:

[tex]y\leq 3-\dfrac18x[/tex]

[tex]\\ \rm\Rrightarrow x+8y\leqslant 24[/tex]

#Part A

#Part B

Put (0,0)

Satisfied

Shading below the line and towards origin

#Part C

turn into y=mx+b form

70.80

...... ................ .......

Answer:

10 trips

Step-by-step explanation:

50kg in a bag, 4535.92 kg in 5 tons

4535.92kg/50kg = 90.7184

90/10 = 9 trips

but there's still 0.7184 bag left, so the pick-up would need to make 10 trips.

Answer:

114

Step-by-step explanation:

The external angle measure is equal to the half of difference between the larger intercepted arc (5x-12) and the smaller intercepted arc (3x)

32 = (5x-12 -3x)/2

combine like terms in parenthesis and multiply both sides by 2

32·2 = 2x-12

multiply 32·2 = 64, and add 12 to both sides

64 + 12 = 2x

add 64+12 = 76, and divide both sides by 2 to isolate x

76/2 = x

38 = x

The measure of arc AB is 3x.

Substitute x for 38

Measure of arc AB = 3x = 3·38 = 114

Answer:

7

Step-by-step explanation:

Answer:

The range is the best measure of variability because the distribution has an outlier.

Either the IQR or the range are good measures of variability because the distribution has no outliers.

The IQR is the best measure of variability because the distribution has an outlier.

Step-by-step explanation:

is this what you was looking for

Answer:

32

Step-by-step explanation:

Answer:

32

Step-by-step explanation:

Answer:

x = -1, y = -1

Step-by-step explanation:

Given:

[tex]\begin{bmatrix}2x-3y=1\\ x+2y=-3\end{bmatrix}[/tex]

Solve:

[tex]\mathrm{Substitute\:}x=\frac{1+3y}{2}[/tex]

[tex]\begin{bmatrix}\frac{1+3y}{2}+2y=-3\end{bmatrix}[/tex]

Simplify

[tex]\begin{bmatrix}\frac{1+7y}{2}=-3\end{bmatrix}[/tex]

[tex]\mathrm{For\:}x=\frac{1+3y}{2}[/tex]

[tex]\mathrm{Substitute\:}y=-1[/tex]

[tex]x=\frac{1+3\left(-1\right)}{2}[/tex]

[tex]x=-1[/tex]

[tex]The\:solutions\:to\:the\:system\:of\:equations\:are[/tex]

[tex]x=-1,\:y=-1[/tex]

Check Answer:

2(-1)-3(-1) = 1

True

-1+2(-1)= -3

True

~Lenvy~

Answer:

3

Step-by-step explanation:

I hope its helped<8 thank you

Answer:

14 sq. units

Step-by-step explanation:

We know that :

Base

Height

Area

Answer:

504

Step-by-step explanation:

40%=.40

360*.40=144

original number + increase = x

360+144=504

Answer:

Step-by-step explanation:

Formula

Area = B * h

Givens

Base = 2.5

height = 5.25

Solution

You choose the value for the base and height from the fact that the height touches the base (which has been extended) at right angles.

Area =  2.5 * 5.25

Area = 13.125

Answer: Area = 13.125 or 13 1/8

Step-by-step explanation:

i hope this helps the steps are within the photo

If the ratio of the dimensions is 4:7 and the shorter dimension is 10ft, we know that the 10ft corresponds to the 4 in this scenario. We can set up the equation as follows:

[tex]\frac{4}{7} =\frac{10}{x}[/tex]

You have to multiply by 2.5 to get from 4 to 10. And since we want to make sure we are maintaining the ratio, we have to multiply the denominator, 7, by 2.5 as well.

[tex]\frac{4}{7}*\frac{2.5}{2.5}=\frac{10}{17.5}[/tex]

This means your shorter side has a length of 10ft and your longer side has a length of 17.5ft.

AREA

The formula for the area of a rectangle is: [tex]w*l[/tex]

So we can plug our dimensions into the formula: [tex]10*17.5=175[/tex]

So 175 is our area. But we can't forget about units! Since this is area and we multiplied our units together, our units would be squared. That means our answer is 175 square feet.

PERIMETER

The formula for the perimeter of a rectangle is: [tex]2(w+l)[/tex]

We can plug our dimensions into the formula: [tex]2(10+17.5)=55[/tex]

So 55 is our perimeter. Of course, we can't forget about our units. Because this is perimeter, we only added our units together, so they don't change. That means our answer is 55 feet.

Answer:

Hey Here Is Ur Answer

Step-by-step explanation:

3/5 + 1/3 = 14/15

5 3/5 ÷ 14/15 = 6

so

blue:red = 3/5 : 1/3 = 18/5 : 2

HOPE IT HELP U

3/5 + 1/3 = 14/15

5 3/5 ÷ 14/15 = 6

so

blue:red = 3/5 : 1/3 = 18/5 : 2                  

Answer:

the one you click is correct.

Step-by-step explanation:

Hello and Good Morning/Afternoon:

Let's take this step-by-step:

By looking at this diagram:

 [tex]\hookrightarrow \text {angle C is 45 degrees, angle A is 90 degrees}[/tex]

    [tex]\hookrightarrow \text{We know that the sum of all the angles is 180 degrees in a triangle}[/tex]

                 [tex]a + b + c = 180\\90 + b + 45 = 180\\b + 135 = 180\\b = 45[/tex]

         [tex]\hookrightarrow \text {Therefore angle B is also 45 degrees}[/tex]

With all these angles' measures:

  ⇒ we have a 45-45-90 triangle

       ⇒ which has some special properties (look at the diagram attached)

Based on the diagram:

 [tex]\hookrightarrow \text{the longest side/ hypotenuse (BC)} = \text{ length of leg (AC)} * \sqrt{2} =14\sqrt{2}[/tex]

Answer: [tex]14\sqrt{2}[/tex]

Hope that helps!

#LearnwithBrainly

Answer:

Your equation would be:
(x + 6)² + (y - 5)² = 29

Step-by-step explanation:

Have a great rest of your day
#TheWizzer

The point (3/5,4) would lie on the circle if it makes the equation of the circle to be true

Latansha's equation of the circle is wrong

The given parameters are:

Center = (a,b) = (0,-2)

Radius, r = 7

The equation of a circle is:

[tex](x - a)^2 + (y - b)^2 = 0[/tex]

This gives

[tex](x - 0)^2 + (y + 2)^2 = 0[/tex]

Rewrite as:

[tex]x^2 + (y + 2)^2 = 0[/tex]

In Latanya's first step, we have:

[tex]x^2 + (y - 2)^2 = 0[/tex]

By comparing her first step with x^2 + (y + 2)^2 = 0, we can see that her equation is wrong

Hence, Latansha's error is that she determine the equation of the circle, wrongly.

Read more about circle equations at:

https://brainly.com/question/1559324

Step-by-step explanation:

a parallelogram has 2 pairs of equation sides (as a rectangle, just not necessarily with the 90° angles).

so, when one side is 16 cm, then there is a second side with 16cm.

the perimeter is the sum of all 4 sides (the 2 pairs of sides) : 48 cm.

and we know the length of one of these pairs : 2×16 = 32 cm.

what is left for the second pair of sides ?

48 - 32 = 16 cm

so, these 16 cm is the sum of a pair of equally long sides. that means their are

16/2 = 8 cm

long each.

so, the length of the "remaining" side is 8 cm.

Answer:

[tex]\huge\boxed{\sf x < 6}[/tex]

Step-by-step explanation:

Given inequality:

2x - 3 < 9

Add 3 to both sides

2x < 9 + 3

2x < 12

Divide 2 to both sides

x < 6

[tex]\rule[225]{225}{2}[/tex]

Answer:

Step-by-step explanation:

2x − 3 < 9

Solve:

2x − 3 < 9 <== add 3 to both sides

     + 3 + 3

2x < 12 <== divide both sides by 2, to isolate the variable (x)

/2    /2

x < 6

This means that x, can be any number than is smaller than (less than) 6.

A. x = −4

-5 < 6 <== correct

B. x = −3

-3 < 6 <== correct

C. x = −2

-2 < 6 <== correct

D. x = 3

3 < 6 <== correct

Therefore, all these are solutions to the inequality.

Hope this helps!

Answer:

y = -7x+3

Step-by-step explanation:

We can write the function as

y = (3-x) / 7

To find the inverse of this function we have to do 2 things

a. change x with y and y with x  and

b. find the y

a. y = (3-x) / 7, change x with y and y with x  

   x = (3-y) / 7, multiply both sides by 7

b.     7x = 3-y, subtract 3 from both sides

      7x-3 = -y, multiply both sides by -1

      -7x+3 = y

The inverse function of

f(x) = (3-x)/7  is [tex]f^{-1} (x) = -7x + 3[/tex]

Hey there!

ORIGINAL EQUATION:

(25 + 4)(52 - 5)

= (29)(47)

= 1,363

Original answer: 1,363
____________________
SOLVING FOR THE ESTIMATION EQUATION:

25 = 30
4 = 0

~~~~~~~~
52 = 50

5 = 10

(30 + 0)(50 - 10)

= 30(40)

= 1,200

Good luck on your assignment & enjoy your day!

~Amphitrite1040:)

Answer:

it is B

Step-by-step explanation:

B is 1 1/20 and A is only 17/18

Answer:

Step-by-step explanation:

The volume of a cylinder is the area of the circle times the hight of the cylinder.

Thus...

3.14*5^2*10=785

The reason it is 5 and not 10 is because it gives you the diameter in the word problem and the equation asks for the radius.

So you know that the radius is always half the diameter and half 10 which gives you 5.

Hope this helps!!!

Answer:

the answer is 47

Step-by-step explanation:

subtract 133 from 180 and you get 47

Answer:

780.54-455=425.54

Step-by-step explanation:

425.54+1570.85+12.60+9.50=2018.49

Answer:

There is no affirmative formula, but this is the basics

Step-by-step explanation:

DDM Formula=

Stock value = Dividend per share / (Required Rate of Return – Dividend Growth Rate)

Rate of Return = (Dividend Payment / Stock Price) + Dividend Growth Rate.

The P/E Ratio. The price-to-earnings ratio or P/E ratio is a popular metric for valuing stocks that works even when they have no dividends. Regardless of dividends, a company with high earnings and a low price will have a low P/E ratio. Value investors see such stocks as undervalued.

The current price is the most recent selling price of a stock, currency, commodity, or precious metal that is traded on an exchange and is the most reliable indicator of that security's present value.

The formula consists of taking the DPS in the period by (Required Rate of Return – Expected Dividend Growth Rate). For example, the value per share in Year is calculated using the following equation: Value Per Share ($) = $5.15 DPS ÷ (8.0% Ke – 3.0% g) = $103.00.

Briefly, in order to be eligible for payment of stock dividends, you must buy the stock (or already own it) at least two days before the date of record. That's one day before the ex-dividend date.

Answer:

A = 1 square unit

Step-by-step explanation:

Given:

To find A, substitute the value of s into the equation for A and solve:

[tex]\sf \implies A=16 \cdot \left(\dfrac14\right)^2[/tex]

[tex]\sf \implies A=16 \cdot \left(\dfrac{1^2}{4^2}\right)[/tex]

[tex]\sf \implies A=16 \cdot \left(\dfrac{1}{16}\right)[/tex]

[tex]\sf \implies A=\dfrac{16 \cdot 1}{16}[/tex]

[tex]\sf \implies A=\dfrac{16}{16}[/tex]

[tex]\sf \implies A=1[/tex]

Therefore, A = 1 square unit

[tex]\\ \rm\rightarrowtail A=16s^2[/tex]

[tex]\\ \rm\rightarrowtail A=16(1/4)^2[/tex]

[tex]\\ \rm\rightarrowtail A=16(0.25)^2[/tex]

[tex]\\ \rm\rightarrowtail A=16(0.0625)[/tex]

[tex]\\ \rm\rightarrowtail A=1units^2[/tex]