Put the following equation of a line into slope-intercept form, simplifying all
fractions.
8x – 12y = -96

Answer: the answer is r=7.5%

Step-by-step explanation:

You get the formula A=P(1+nr) where A is the accumulated amount: 5750, P is the principal: 5000, n is the amount of years: 2, and r is the rate: unknown

Now you plug in what you know:

5750=5000(1+2r)

Divide 5000 on both sides

Decimal form: 1.15=1+2r

Subtract -1 on both sides

0.15=2r

And lastly divide by 2 on both sides

0.075=r

BUT WHEN FINDING THE RATE ALWAYS MAKE IT A PERCENTAGE

r=0.075*100=7.5%

Answer:

First task: 2., 5.

Second task: 1., 2.

Answer:

23

Step-by-step explanation:

g(3) = 3²+1 = 10

f(g(3)) = 2(10) + 3

= 23

Answer:

A. 232 in²

B. 216 in²

Step-by-step explanation:

A. Box A is a cuboid/rectangular prism.

Surface area of box A = 2(LW + LH + WH)

L = 10 in

W = 2 in

H = 8 in

Surface area = 2(10*2 + 10*8 + 2*8)

= 2(20 + 80 + 16) = 2(116)

Surface area = 232 in²

B. Surface area of B = surface area of cube

Surface area of cube = 6s²

s = 6 in

Surface area = 6(6²)

= 6(36)

= 216 in²

Answer:

Step-by-step explanation:

600,399

Answer:

Vertical and supplementary

Step-by-step explanation:

Angles 1 and 2 are Vertically opposite angles and therefore they are equal to each other.

Answer:

97.27 yd²

Step-by-step explanation:

First let's find the area of the right triangle on the left side. To do that, multiply 6x5, then divide the product by 2, since a right triangle is half a rectangle.

6x5=30

30/2=15

Area of triangle=15 yd²

Find area of the middle rectangle. So multiply the length by the width.

9x6=54

Area of rectangle=54 yd²

Find area of the half circle. Formula for area of circle is [tex]A=\pi r^{2}[/tex]. Pi is about 3.14, and radius ([tex]r[/tex]) is 3. Radius is half of the diameter of circle, and the 6 on the left says the diameter of circle.

[tex]\pi[/tex]x[tex]3^{2}[/tex]≈28.27

Area of circle is about 28.27 yd²

Add up the three areas.

15+54+28.27=97.27

Answer:

20/21

Step-by-step explanation:

Opposite / Adjacent = RT / AR

You have to find RT

Use the Pythagorean Theorem

AR^2 + TR^2 = AT^2

21^2 + TR^2 = 29^2

441 + TR^2 = 841             Subtract 441 from both sides

TR^2 = 841 - 441

TR^2 = 400

sqrt(TR^2) = sqrt(400)

TR = 20

Ratio: TR / AR = 20/29

Answer: 5x-15

Outer numbers multiply with both inside the parentheses.

Answer:

Step-by-step explanation:

4

Answer:

It's 4 for you and 5 points for me

Step-by-step explanation:

Answer:

210 is answer when bases are same. powers should be added

Step-by-step explanation:

it's basically indicesis basically in this is so it was multiplication addition rule that you use

Answer:

4.24 is the answer

Step-by-step explanation:

OPTION A

(-40) + (-30) + 28

Answer:

D

Step-by-step explanation:

Answer:

D.) Quadrant I

Step-by-step explanation:

The quadrants start from Quadrant I (in the top left) and continue counter-clockwise to Quadrant II, Quadrant III, and Quadrant IV

Quadrant I = (+,+)

Quadrant II = (-,+)

Quadrant III = (-,-)

Quadrant IV = (+,-)

Now in this case, (4,2) is positive in the x value, and positive in the y value - so it belongs in Quadrant I!

9514 1404 393

Answer:

  $1197.16

Step-by-step explanation:

The future value is given by ...

  FV = P(1 +r/n)^(nt)

for principal P earning annual rate r compounded n times per year for t years

Your balance due will be ...

  FV = $1000(1 +0.18/365)^(365·1) ≈ $1197.16

You will owe $1197.16 after 1 year.

Answer:

6

Step-by-step explanation:

Recall the area of a triangle formula

[tex]A=\frac{bh}{2}[/tex] where b = base and h = height

The triangle shown has a height of 4cm and a base length 3cm

Using this information we plug in the values into the formula

[tex]A=\frac{4*3}{2} \\4*3=12\\\frac{12}{2} =6[/tex]

Hence, the area of the triangle is 6 square centimeters

Answer:

Ok so the area of the triangle is 6

Step-by-step explanation:

a= 1/2 bh

a= 1/2 * 3 * 4

a= 1/2 * 12

a= 6

Answer:

(x,y) --->(x-5,y)

A(-1.1)--->A¹(-6,1)

B(2,-4)-->B¹(-3,-4)

C(3,0) --> c¹(-2,0)

hope it helps

have a great day

Answer:

-384

Step-by-step explanation:

Solve for each function first.

g(-5) = 3(-5) - 1

g(-5) = -16

f(-5) = -5^2 + 1

f(-5) = -24

Multiply.

(fg)(-5) = (-16 x -24)

(fg)(-5) = -384

Not entirely sure if this is correct but this seemed the most obvious way to do it so I did it. Let me know if I'm wrong.

Answer:

13/2 or 6 1/5 or 6.5

Step-by-step explanation:

[tex]\frac{7+6}{2}[/tex]x 1

13/2 x 1

6.5x1

Answer:

1200

Step-by-step explanation:

40 x 30=1200

Answer:

x=148

Step-by-step explanation:

First, find the missing angle by subtracting 100+48 from 180 (all of the angles in a triangle add up to 180). Then, subtract that from 180 (the angles are a linear pair, so they are supplementry, so they add up to 180) x+32=180.

x=148.

(お役に立てれば！)

Answer:

Assuming the similarity is that BC scales to EF, answer is

D. 1.5BC

Step-by-step explanation:

Because the triangles are smilar, AB/BC = DE/EF

If AB = 2BC

then DE = 2EF

but also DE = 3BC

so 2EF = 3BC

EF = 1.5BC

Answer:

C.)  P(5, H) = 1/12

Step-by-step explanation:

Answer:

P(5, H) = 1/12

Answer:

a. 1/12

Step-by-step explanation:

I'm not 100% sure but...

The odds of the coin landing on tails is 1/2

The odds of the dice landing on 3 is 1/6

1/2 * 1/6 = 1/12

Answer:

The answer is 75.

Proof:

75/45 when simplified is 5/3