Find an equivalent expression using the Distributive Property.

g3(7+g)

Answer:

A(t)= 18000(0.988)^t

Step-by-step explanation:

Given data

Ryan bought a brand new car for $18,000

Its value depreciated at a rate of 1.2%

Let us use the compound expression

A= P(1-r)^t

substitute

A= 18000(1-0.012)^t

A(t)= 18000(0.988)^t

Hence the expression is A(t)= 18000(0.988)^t

A function to represent the value of the car as a function of time is v(t) = 18000(0.988)^t

The standard exponential equation is in the form y = ab^x

b is the rate which can be growth or decline

If Ryan bought a brand new car for $18,000 and its value depreciated at a rate of 1.2%, the exponential equation represented by this statement is;t

v(t) = 18000(1-0.0012)^t

v(t) = 18000(0.988)^t

Hence a function to represent the value of the car as a function of time is v(t) = 18000(0.988)^t

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Answer:

36 ft

Step-by-step explanation:

Side = 8-3 = 5

6 x 5 = 30

3 x 2 = 6

Answer: 0

Step-by-step explanation:

Answer:

80:100

112:x

11200/80=x

x= 140

40% increase

Answer:

29%

Step-by-step explanation:

112-80=32

increase ÷ original × 100 %

= 32÷112×100%

≈29% (corrected to the nearest whole number)

Answer: X=4 Y=-6

Step-by-step explanation:

Well we know that y= -4x+10

So we can input that into the bottom equation

2x +2(-4x+10) = -4

2x +-8x+20=-4

-6x + 20= -4

-6x = -24

x = 4

We also have to find the value of Y

y=-4(4)+10

y= -16 + 10

y=-6

Answer:

Step-by-step explanation:

2x + 2y = -4

Substitute (-4x+10) for y:

2x + 2(-4x+10) = -4

2x -8x + 20 = -4

-6x = -24

x = 4

A and C

A- AngleBAC and AngleCAE

C-AngleCAE and AngleFAE

Step-by-step explanation:

Edg2021

Answer:

The answer is  A. AngleBAC and AngleCAE and C. AngleCAE and AngleFAE

Step-by-step explanation:

Got it right on the assignment.

Answer:

240

Step-by-step explanation:

82-2= 80 to the third power so just multiply 80 x 3 and you have your answer.

Answer:

512000 (square root of it is 712.5)

Step-by-step explanation:

82 -2 = 80

80^3

= 80*80*80

= 80^3

= 512000 (square root of it is 712.5)

Let me know if this was helpful!!

Answer:

[tex]y<-2x+6[/tex]

Step-by-step explanation:

The boundary line of a linear inequality passes through the points (3, 0) and (0, 6).

The points (3, 0) and (2, 6) are not solutions of the inequality.

We want to find the equation of the linear inequality.

First, we will simply find the line that crosses the points (3, 0) and (0, 6).

We can determine the slope to be:

[tex]\displaystyle \frac{6-0}{0-3}=\frac{6}{-3}=-2[/tex]

Notice that (0, 6) is the y-intercept.

Then by the slope-intercept form:

[tex]y=mx+b[/tex]

Our equation will be:

[tex]y=-2x+6[/tex]

Now, we will need to determine our inequality sign.

First, (3,0) is on the boundary line yet it is not a solution. Therefore, our line is dotted. That is: we do not have the "or equal to" statement.

So, our inequality signs can only be either < or >.

We are given that (2, 6) is not a solution.

So, we can test for the sign. Substitute 2 for x and 6 for y:

[tex]\displaystyle 6\text{ }?\text{ }-2(2)+6[/tex]

Evaluate:

[tex]\displaystyle 6\text{ } ?\text{ } 2[/tex]

Since 6 is not a solution, the above statement needs to be false.

It will be false is the sign is <, since 2 is not greater than 6.

Therefore, our sign is <.

And our inequality is:

[tex]y<-2x+6[/tex]

Answer:

18 is 40% of 45

23% of 20 is 4.6

24.390243902439025

Step-by-step explanation:

Answer:

Rectangle

Parallelogram

Step-by-step explanation:

The ratio 3:1:3:1 shows that lengths of opposite sides of the quadrilateral are equal.

So, the possible names for the quadrilateral are rectangle, parallelogram.

Answer:

50y + 75x ≥ 1000 ;

50(15) ≥ 750;

x ≥ 4

y ≥ 15

Step-by-step explanation:

Given that :

Number of stickers sold = y

Cost of sticker = 50

Cost of bag tag = 75

Number of bag tags sold = x

Total worth of items sold ≥ 1000

1)

50y + 75x ≥ 1000

2.)

To make atleast 15 stickers

y ≥ 15

Atleast 15 stickers :

50(15) ≥ 750

3.)

A possible solution :

50(15) + 75(x) ≥ 1000

750 + 75x ≥ 1000

75x ≥ 250

x ≥ 3.33

x ≥ 4

y ≥ 15

Answer:75%

Step-by-step explanation: I asked Siri and she said it was 75% lol your welcome

It should be 27 bagels correct me if I'm wrong but I hope I helped

Answer:

the correct answer is C) √5

Step-by-step explanation:

Answer:

50 kid

110 adults

Step-by-step explanation:

6*50=300

11*110=1210

300+1210=1510

Answer:

KGHKWGJRWGJHWG

Step-by-step explanation:

Answer:

2 : 5

Step-by-step explanation:

divide by five for both

Answer:

2:5

Step-by-step explanation:

they both have 5 in common

hope this helps

Answer:

2

4

4 1/2 can be evenly divided by 4 by 1   1/8

4 1/2 can be evenly divided by 2 by 2   1/4

Step-by-step explanation:

Answer:

The coordinate is (16, 5)

Step-by-step explanation:

Hope this helps!

Answer:

[tex]\textsf{B.} \quad 3.14, \; \pi, \; \dfrac{22}{7}, \;\sqrt{10}[/tex]

Step-by-step explanation:

The given set of numbers (in any order) is:

[tex]\pi, \;\sqrt{10}, \; 3.14, \; \dfrac{22}{7}[/tex]

Convert each number to its decimal equivalent to 4 decimal places:

[tex]\implies \pi=3.1416\;(\sf 4\;d.p.)[/tex]

[tex]\implies \sqrt{10}=3.1623\;(\sf 4\;d.p.)[/tex]

[tex]\implies 3.14 = 3.1400\;(\sf 4\;d.p.)[/tex]

[tex]\implies \dfrac{22}{7}=3.1429\;(\sf 4\;d.p.)[/tex]

Each number has 3 units and 1 tenth.

Comparing the hundredths, all the numbers have 4 hundredths except √10 which has 6 hundredths.  Therefore, √10 is the largest number since 6 > 4.

Comparing the thousandths of the other three numbers, 3.14 is the smallest number as it has zero thousandths.

π is the next smallest as it has a one thousandth.

Therefore, the given set of numbers in increasing order is:

[tex]3.14, \; \pi, \; \dfrac{22}{7}, \;\sqrt{10}[/tex]

To solve this question, we must know the the angle sum property of a triangle. Therefore the value of ∠⁡⁣B is 85° when ∠A = 75° and ∠C=20° in △ABC

According to angle sum property of a triangle, the sum of all angles of a triangle is always 180 degree. It can never be more than or less than 180 degree. If two angles of a triangle is given then the third angle can be calculated by subtracting the sum of two angle from 180°

The sum of the three angles in a triangle = 180° , that is

∠ A + ∠ B + ∠ C = 180°

Substituting the given values in the given equation we get

75° + ∠ B + 20° = 180°

∠ B + 95° = 180°

subtracting 95° from both sides we get

∠ B = 85°

Therefore  the value of ∠⁡⁣B is 85° when ∠A = 75° and ∠C=20° in △ABC

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Answer:

jndcxiaojdncijadmcijwmqdijxcmc

Step-by-step explanation:

A possible error is (c) C.12×4 does not equal 13.

From the question, we have the following parameters that can be used in our computation:

Rate = 1/3 miles in 4 minutes

When converted to unit rate, we have

Rate = 1/3 miles/4 minutes

Evaluate the quotient

So, we have

Rate = 1/12 miles per minute

This means that a possible error is (c) C.12×4 does not equal 13.

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Question

Lucas jogged 13 mile in 4 minutes. He divided to find how far he jogged per minute, but he made a mistake. Which reason explains why his answer might be wrong?

A.There are more than 12 equal parts in 13 of a whole.

B.When 13 of a whole is split into equal parts, each part is greater than 13.

C.12×4 does not equal 13.

D.The answer must be a whole number.

Answer:

The cost of

1 slice of pizza = x = $1.75

1 diet pepsi = y = $1.25

Step-by-step explanation:

Let us represent:

The cost of

1 slice of pizza = x

1 diet pepsi = y

Tyler bought two pieces of pizza and three diet Pepsi for $7.25

2x + 3y = 7.25.......Equation 1

Scotty but four pizzas and a diet Pepsi for $8.25

4x + y = 8.25......Equation 2

Combining the Equations

2x + 3y = 7.25.......Equation 1

4x + y = 8.25......Equation 2

y = 8.25 - 4x

We substitute 8.25 - 4x for y in Equation 1

2x + 3(8.25 - 4x) = 7.25

2x + 24.75 - 12x = 7.25

Collect like terms

24.75 - 7.25 = 12x - 2x

17.5 = 10x

x = 17.5/10

x = $1.75

Solving for y

y = 8.25 - 4x

y = 8.25 - 4(1.75)

y = 8.25 - 7

y = $1.25

Therefore,

The cost of

1 slice of pizza = x = $1.75

1 diet pepsi = y = $1.25

Answer:

90.2

Step-by-step explanation:

thx for the follow!!!

Answer:

105.8 is the answer

Step-by-step explanation:

105.8

Answer:

The small gear would be spinning at 7.5MPH

Answer: 163

Step-by-step explanation: just look in the comments

The percent of the purchase price would be 20% of the sale price.

The unitary method is a method for solving a problem by the first value of a single unit and then finding the value by multiplying the single value.

First we need to calculate the difference between the purchase and sale price.

$72.00 - $60.00 = $12.00

Since $12 is the increase in dollars.

To increase as a percentage we need to divide the increase by the original purchase price.

12.00 ÷ 60.00 = 0.2

This simply means moving the decimal place two columns to the right;

0.2 x 100 = 20

Therefore, the percent of the purchase price would be 20% of the sale price.

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Answer:

I believe the answer is 8.