The cost of living in Seattle increases by 1.2% every year. If Noah spends $41,000 this year, how
much can he expect to spend 4 years from now to maintain the same standard of living? Roun
to the nearest dollar.

Answer:

1) x=−y-2

2)x=−y+2

Step-by-step explanation:

Let's solve for x.

y=−x−2

Step 1: Flip the equation.

−x−2=y

Step 2: Add 2 to both sides.

−x−2+2=y+2

−x=y+2

Step 3: Divide both sides by -1.

x=−y−2

Let's solve for x.

3x+3y=6

Step 1: Add -3y to both sides.

3x+3y+−3y=6+−3y

3x=−3y+6

Step 2: Divide both sides by 3.

x=−y+2

Answer:

A = 15 units²

Step-by-step explanation:

Count the squares:

AB (height) = 6 units

CB (base) = 5 units

A = bh/2

A = (5)(6)/2

A = 30/2

A = 15 units²

I hope this helps!

Step-by-step explanation:

Divide the solid into 2 cones.

SA of a cone

= πrl

l of cone 1

l² = r² + h²

l² = 9² + 12²

l² = 81 + 144

l² = 225

l = √225

l = 15cm

SA of cone 1

= πrl

= π × 9 × 15

= π × 135

= 135π

l of cone 2

l² = r² + h²

l² = 9² + 40²

l² = 81 + 1600

l² = 16081

l² = 126cm

SA of cone 2

= πrl

= π × 9 × 126

= π × 1134

= 1134π

SA of solid

= 135π + 1134π

= 1269π

The annual percentage rate of the loan is approximately 913%. option c is correct.

The yearly interest earned by an amount charged to borrowers or paid to investors is referred to as the annual percentage rate.

APR is a percentage that indicates the real annual cost of money for a loan or investment over the period of the loan.

The amount borrowed =  $75

no of days =8 days

Fees charged = $15

The annual percentage is found as;

[tex]\rm r = \frac{final \ value}{initial \ value } -1 \\\ \rm r = \frac{f 90}{75 } -1 \\\\ r=0.20 \\\\[/tex]

If the rate of interest is  20% then the annually the rate is obtained as;

[tex]\rm r_{annual}= \frac{0.20}{8 \ days} \times \frac{365}{1 \ year} \\\\ \rm r_{annual}=913 /year[/tex]

Hence the annual percentage rate of the loan is approximately 913%. option c is correct.

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Answer:

C

Step-by-step explanation:

Barbara got a flat tire and does not have a spare. She needs her car for work, so she goes to a business that offers payday loans in order to get the money to buy a new tire.  She borrows $75 and plans to pay it back when she gets paid in 8 days. Barbara is charged a fee of $15 and the term on her loan is 8 days. Approximately what is the annual percentage rate on her loan?

a.

228%

b.

487%

c.

913%

d.

973%

C

The [tex]\lim_{x \to 2} x+1=2+1=3[/tex] using the ε − δ definition of a limit.

Epsilon-Delta defines a limit at a finite point that has a finite value.

To find the limit, two variables, delta (δ) and epsilon (ε) are first created then the epsilon region is choosen so as to define a delta region.

[tex]\lim_{x \to 2} x+1=2+1=3[/tex]

The [tex]\lim_{x \to 2} x+1=2+1=3[/tex] using the ε − δ definition of a limit.

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Answer:

cde

Step-by-step explanation:

thx everyone hahahhahaahha

The inequality represents x, and y, she can eat each week is,

490x+700y \leq 4000.

x be the number of microwave burritos

y be  the number of peanut butter sandwiches

we know that

[tex]490x+700y \leq 4000[/tex].........inequality that represents the situation

The mathematical expression in which the sides of an equation are not equal to each other.

we use a graphing tool

The solution is the shaded area

Please find  the attached figure

Therefore,the answer is 490x+700y \leq 4000

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= 1 × 3 × 4 × 4 × 4

= 1 × 3 × 64

= 3 × 64

= 192

Easy peasy...

Answer:

165

Step-by-step explanation:

V=BH

B=[tex]\frac{1}{2\\}[/tex]BH

V=([tex]\frac{1}{2}[/tex] x 5 x 6) x 11

V= ([tex]\frac{30}{2}[/tex]) x 11

V= 15 x 11

V= 165 f[tex]t^{2}[/tex]

Answer:

that would be the second option (-4,7)(-7,0)(-1,0)

Step-by-step explanation:

The answer is given away once you translate point S to the right 2 and down 3 making the point (-4,7) and there is only one answer with that point.

Answer:

5

Step-by-step explanation:

mean = average

5 + 5 + 7 + 5 + 4 + 4 = 30

30/6 = 5

Answer: B) 9.6 inches

Step-by-step explanation:

       We will set up a proportion to solve. I will have the width of the model (in inches) as my numerator, and the height of the model (in inches) as the denominator.

-> To convert feet into inches, we multiply by 12.

       [tex]\displaystyle \frac{120}{144} = \frac{8}{x}[/tex]

       Cross multiply:

120 * x = 144 * 8

120x = 1,152

       Divide both sides of the equation by 120:

x = 9.6

9.6 inches

           The height should be B) 9.6 inches.

A second degree polynomial function f (x) that has a lead coefficient of 3 and roots 4 and 1 is: [tex]3x^2-15x+12[/tex]

An expression of more than two algebraic terms, especially the sum of several terms that contain different powers of the same variable(s).

For this case we have that the following function complies with the given conditions:

[tex]f(x)=3x^2-15x+12[/tex]

To prove it, let's find the roots of the polynomial:

[tex]3x^2-15x+12=0[/tex]

By doing common factor 3 we have:

[tex]3(x^2-5x+4)=0[/tex]

Factoring the second degree polynomial we have:

[tex]3(x-1)(x-4)=0[/tex]

Then, the solutions are:

Solution 1:

[tex]x-1=0 \ or \ x=1[/tex]

Solution 2:

[tex]x-4=0\ \ or \ x=4[/tex]

Hence A second degree polynomial function f (x) that has a lead coefficient of 3 and roots 4 and 1 is:[tex]3x^2-15x+12[/tex]

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Answer:

f(x) = 3x² – 15x + 12

Step-by-step explanation:

I got it right on the unit test for edge

Answer:

Koro-Sensei's class has 20 kids in it.

Step-by-step explanation:

This is simple.

Ex: 20-12 = 32

Answer:

1750 m/s

Step-by-step explanation:

1km = 1000m

1 hour = 60 minutes = 3600 seconds

( 630 * 1000 )/ (60 * 60)

= 1750 m/s

A rectangular prism with volume of 315 cubic inches can be formed with length, width and height of of 9inches, 7 inches and 5 inches respectively

Volume of a rectangular prism = lwh

where

Therefore,

volume of the rectangular prism = lwh

315 = lwh

315 = 9 × 7 × 5

Therefore, a  rectangular prism with volume of 315 cubic inches can be formed with length, width and height of 9inches, 7 inches and 5 inches respectively.

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Answer:

1/2

Step-by-step explanation:

0.3 can be converted into 3/10. TO find out how much more of a quart of iced tea that Riley drank than her friend, we have to subtract the amount of iced tea that her friend drank from the amount that Riley drank.

8/10 - 3/10 = 5/10

Now, we have the opportunity to simplify the fraction. 5/10 is the same as 1/2. Therefore, Riley drank 5/10, or 1/2, more than her friend. I hope this helps! Have a lovely day!! :)

Answer:

f(x) = 5x - 26

Step-by-step explanation:

y + 6 = 5(x - 4) ← distribute parenthesis by 5

y + 6 = 5x - 20 ( subtract 6 from both sides )

y = 5x - 26

Now y = f(x) , then

f(x) = 5x - 26

Answer:

f(x) = 5x - 26

Step-by-step explanation:

y + 6 = 5(x – 4)

Distribute

y +6 = 5x - 20

Solve for y

y +6-6 = 5x-20+-6

y = 5x - 26

Replace y with f(x)

f(x) = 5x - 26

If Wendell were to slice the doghouse in half with a slice parallel to the pentagonal bases, the shape of the slice would be a pentagon.

A solid figure is a three dimensional shape having length, width and height. Examples of solid figures are cylinders, cone, pyramid and prism.

The shape represented by the doghouse would be a pentagonal prism. If Wendell were to slice the doghouse in half with a slice parallel to the pentagonal bases, the shape of the slice would be a pentagon.

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Answer:

184π units²

Step-by-step explanation:

see attached for reference

given sloped height = 15 units

base radius = 8 units

the height of the cone can be found by using the Pythagorean equation

(sloped height)² = height ² + (base radius)²

15² = h² + 8²

h² = 15²-8² = 161

h = √161

Base surface area = πr² = π 8² = 64π units²

Lateral Surface Area,

= πr √(r² + h²)

= π(8) √[  (8)²  + (√161)²  ]

= 8π√(64 + 161)

= 8π√225

= 8π (15)

= 120π

Surface area = base area + lateral surface area

= 64π + 120π

= 184π units²

Answer:

Step-by-step explanation:

Surface Area of a cone : πrl + πr² = πr(l + r)

Solving

Answer:

Step-by-step explanation:

A = l x w

l = length

w = width

Formula:

6 4/5 x 4 3/4

First, multiplying the integers:

6 x 4 = 24

Then you multiply the fractions(top x top and bottom times bottom):

4/5 x 3/4 = 12/20

Simplify:

12/20 = 3/5

Giving you 24 3/5

I hope this helps :)

Answer:

324 over x is the answer

Step-by-step explanation:

khan told me.

ik ur searching probs from khan hehe plol

The cost of each ticket as an expression is $324/x

Ratios are written as fractions. For instance a/b can be written as a:b.

If Suzie paid a total of $324 for x ticket to rock a festivel, this is expressed as;

$324 = x ticket

The cost of each ticket is given as;

y = 1 ticket

324/y = x/1

y = 324/x

Hence the cost of each ticket as an expression is $324/x

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Answer:

26 metres

Step-by-step explanation:

(Assuming this is for the whole shape)

5 + 5 + 4 + 8 + 4

= 26 m

Answer:

A. square root of a^2 + b^2 for both answers

Step-by-step explanation:

The first problem, we are given

a^2 + b^2 = c^2

What we do is solve for c.

sqrt(a^2 + b^2) = c

c = sqrt(a^2 + b^2)

For problem 2,

WE can apply the Pythagorean theorem because we have a right triangle.

The equations is

a^2 + b^2 = c^2 like the first problem

Solving gets us

sqrt(a^2 + b^2) = c

c = sqrt(a^2 + b^2)

Answer:

87.375

Step-by-step explanation:

i think it that because you haft to do divison

Answer:

option d

Step-by-step explanation:

36+15+15+15+15

I hope it helped you

By finding the area of the simpler parts, we will see that the total surface area of the figure is 348 ft^2

We can divide this in smaller parts. First, remember that for a triangle of base b and height h, the area is:

A = b*h/2

Then for each of the triangles in the image, the area is:

A = 8ft*3ft/2 = 12 ft^2

And we have two of these.

Then we have the base, a rectangle of 8ft by 10ft, with an area:

A' = 8ft*10ft = 80ft^2

Then we have the front and back sides, rectangles of 8ft by 4ft, with an area:

A'' = 8ft*4ft = 32 ft^2  (we have two of these).

Then the lateral sides, rectangles of 10ft by 4ft, with an area:

A''' = 10ft*4ft = 40ft^2  (we have two of these)

Finally, we have the top rectangles, of 5ft by 10ft, each with an area:

A'''' = 5ft*10ft = 50ft^2 (we have two of these).

Adding all the areas, we get:

Area  = 2*(12 ft^2 + 32 ft^2 + 40ft^2 + 50ft^2) + 80ft^2 = 348 ft^2

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