2.)
Eric bought a boat for $5,000. There was an 8% sales tax.
How much was the sales tax?

Answer:

13x − 1

Step-by-step explanation:

(5x - 2) + (8x + 1) = 13x − 1

Answer:

1) Domain: -∞ < x < +∞

2) Range: y > 0

3) y intercept: (0, 200)

4) Asymptote: y = 0

5) The growth rate; r = 0.08

6) The growth factor = 1.08

7) End Behavior: As x → -∞, f(x) → 0

8) End Behavior: As x → +∞, f(x) → +∞

Step-by-step explanation:

1) The domain of the function is given as the x values for which the function is valid which includes from -∞ < x  to +∞

2) The range of the function, are the range of the output values of the function for the given range of the input values

For the function, f(x) = 200·(1.08)ˣ, we have, f(x) = y > 0, for all values of x

3) The y-intercept is the value of y, when x = 0, given as follows;

y intercept = f(0) = 200·(1.08)⁰ = 200 × 1 = 200

4) The asymptote is the line that the function approaches but never reaches

In the question, as x tends to -∞, the function f(x) approaches 0. Therefore, f(x) = y = 0 is the asymptote of the function

5) The growth rate of an exponential function, y = a(1 + r)ˣ is r

Therefore, for the function, 200·(1.08)ˣ, which is equivalent to 200·(1 + 0.08) ˣ, the growth rate = 0.08

6) The growth factor of an exponential function, y = a(1 + r)ˣ is (1 + r)

Therefore, for the function, 200·(1.08)ˣ, which is equivalent to 200·(1 + 0.08) ˣ, the growth factor = (1 + 0.08) = 1.08

7) The end behavior as x tends to -∞, [tex]f(x) = y= 200 \cdot (1.08) ^{-\infty} \rightarrow 0[/tex]

8) The end behavior as x tends to +∞, [tex]f(x) = y= 200 \cdot (1.08) ^{-#+\infty} \rightarrow + \infty[/tex]

The texts that complete the blanks are:

The domain

The domain of an exponential function is all set of real numbers.

So, the domain is: -∞ < x < +∞

The range

The range of an exponential function is always greater than 0.

So, the range is y > 0

The y-intercept

This is when x = 0.

So, we have:

[tex]f(x) = 200(1.08)^x[/tex]

This gives

[tex]f(0) = 200(1.08)^0[/tex]

[tex]f(0) = 200[/tex]

So, the y-intercept is (0,200)

The asymptote

This is the line that is close to the function but is not on the function.

The range is:

y > 0.

So, the asymptote is y = 0

The growth rate and the growth factor

The function is given as:

[tex]f(x) = 200(1.08)^x[/tex]

The growth factor is 1.08, while the growth rate (r) is calculated as:

[tex]r = 1.08 - 1[/tex]

[tex]r = 0.08[/tex]

Hence, the growth rate is 0.08, and the growth factor is 1.08

The end behavior

The end behavior of an exponential growth function is:

a x → -∞, f(x) → 0 and as x → +∞, f(x) → +∞

Read more about exponential function at:

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Responder:

x = 1100

y = 2350

z = 6550

Explicación paso a paso:

Dejemos que los 3 números = x, y, z (dispuestos en orden ascendente)

Diferencia entre los dos más pequeños:

y - x = 1250

y - 1250 = x - - - (1)

Diferencia entre los dos más grandes:

z - y = 4200

z = 4200 + y - - - (2)

x + y + z = 10000 - - - (3)

Sustituya (1) y (2) en (3)

y - 1250 + y + 4200 + y = 10000

3 años + 2950 = 10000

3 años = 7050

y = 2350

x = 2350-1250

x = 1100

z = 4200 + 2350

z = 6550

Answer:

4 hours

Step-by-step explanation:

Minuse $25 dollors from $73 and get $48 then divide 48 by 12 you get your hours

12h+25=73 is the equation represents the number of hours,  Erica rented the scooter

Two or more expressions with an Equal sign is called as Equation.

Given,

Erica rented a scooter for $12 per hour plus a $25 gas fee.

Erica spent a total of $73 to rent the scooter.

Let h represents the number of hours

$25 is a constant.

Twelve times of h plus twenty five equal to seventy three

12h+25=73

12h+25=73 is the equation represents the number of hours,  Erica rented the scooter

To learn more on Equation:

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Answer:

12 steps.

Step-by-step explanation:

6 / (1/2)

= 12 steps

Hope this helped!

Answer:

12 steps for this problem.

Step-by-step explanation:

We have been given that Judi is making a rope ladder. She uses 1/2 yard of rope for each step.

Since Judi makes each step of ladder with 1/2 yard of rope, so one yard of rope will make two steps.

Therefore, Judi can make 12 steps of ladder from 6 yards of rope.

Answer:

10m

Step-by-step explanation:

formula to find volume of a cube is v=a ³

if the volume of the cube is 1000, then 1000=a³ (a being the length of an edge of the cube)(the edges of a cube are all the same length)

cube root of 1000 is 10

The required height of the cubed aquarium tank is 10 meters.

As given that, A cubed aquarium tank holds 1,000 m³ of water, the height of the aquarium is to be determined.

Volume is defined as the ratio of the mass of an object to its density.

The process in mathematics to operate and interpret the function to make the function or expression simple or more understandable is called simplifying and the process is called simplification.

Here,
A cubed aquarium tank holds 1,000 m³ of water,
The volume of the cube = 1000
side ³ = 1000
side = ∛1000
side = 10

Thus, The required height of the cubed aquarium tank is 10 meters.

Learn more about Volume here:
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Answer:

8

Step-by-step explanation:

Answer:

x> -14/-3

Step-by-step explanation:

You start with the question -3x+4<-10

this you subtract 4 from both sides, now you have -3x<-14

now you need to isolait x by dividing both by -3x now you have x > -14/-3

I really hope this helps

Answer:

61 tickets

Step-by-step explanation:

It is given that,

The total profit from the Spanish club fund-raiser varies directly with the number of dinner tickets sold.

If the sale of 22 tickets results in a profit of $253.

Profit in 1 ticket = [tex]\dfrac{253}{22}=\$11.5[/tex]

Let x tickets are sold in order to reach the fund-raising goal of $700.

[tex]x=\dfrac{22}{253}\cdot700\\\\=\$60.86[/tex]

or

= 61 tickets

Hence, 61 tickets must be sold to reach the fund-raising goal of $700.

Answer:

3

Step-by-step explanation:

8+(-5) = 8-5 (One plus and one minus makes one minus)

         = 3

Answer:

3

Step-by-step explanation:

First put 8 in the calculator and then you press + and then you click 5 and then negative.

Answer:

freepoints freepoints freepoints freepointsfreepoints freepointsfreepoints freepointsfreepoints freepointsfreepoints freepointsfreepoints freepointsfreepoints freepointsfreepoints freepoints

Answer:

The second table I promise

Step-by-step explanation:

Because:

1x4 is 4 and 3x4 is 12

1x5 is 5 and 3x5 is 15

1x7 is 7 and 3x7 is 21

1x11 is 11 and 3x11 is 33

Answer:

9

Step-by-step explanation:

The blank is 9. You are just multiplying 3 times 3 which gives 9 because 3 squared is just multiplying it with itsself.

Hope this helped! :)

Answer:

it's 3r^9st

Step-by-step explanation:

have a good one hope to get a   Brainliest

have a good as day hope you  the bast even when  i don't you

Answer:

x = -6

Step-by-step explanation:

Solve for x:

(4 x + 6)/2 + 3 = -6

Hint: | Put the fractions in (4 x + 6)/2 + 3 over a common denominator.

Put each term in (4 x + 6)/2 + 3 over the common denominator 2: (4 x + 6)/2 + 3 = 6/2 + (4 x + 6)/2:

6/2 + (4 x + 6)/2 = -6

Hint: | Combine 6/2 + (4 x + 6)/2 into a single fraction.

6/2 + (4 x + 6)/2 = ((4 x + 6) + 6)/2:

(4 x + 6 + 6)/2 = -6

Hint: | Add the numbers in 4 x + 6 + 6 together.

Add like terms. 6 + 6 = 12:

(4 x + 12)/2 = -6

Hint: | Multiply both sides by a constant to simplify the equation.

Multiply both sides of (4 x + 12)/2 = -6 by 2:

(2 (4 x + 12))/2 = -6×2

Hint: | Cancel common terms in the numerator and denominator of (2 (4 x + 12))/2.

(2 (4 x + 12))/2 = 2/2×(4 x + 12) = 4 x + 12:

4 x + 12 = -6×2

Hint: | Multiply 2 and -6 together.

2 (-6) = -12:

4 x + 12 = -12

Hint: | Isolate terms with x to the left hand side.

Subtract 12 from both sides:

4 x + (12 - 12) = -12 - 12

Hint: | Look for the difference of two identical terms.

12 - 12 = 0:

4 x = -12 - 12

Hint: | Evaluate -12 - 12.

-12 - 12 = -24:

4 x = -24

Hint: | Divide both sides by a constant to simplify the equation.

Divide both sides of 4 x = -24 by 4:

(4 x)/4 = (-24)/4

Hint: | Any nonzero number divided by itself is one.

4/4 = 1:

x = (-24)/4

Hint: | Reduce (-24)/4 to lowest terms. Start by finding the GCD of -24 and 4.

The gcd of -24 and 4 is 4, so (-24)/4 = (4 (-6))/(4×1) = 4/4×-6 = -6:

Answer: x = -6

Answer:

k=−15

Step-by-step explanation:

Step 1: Simplify both sides of the equation.

3(3k−10)+1=8( 3 /2 k+2)

(3)(3k)+(3)(−10)+1=(8)( 3 /2 k)+(8)(2)(Distribute)

9k+−30+1=12k+16

(9k)+(−30+1)=12k+16(Combine Like Terms)

9k+−29=12k+16

9k−29=12k+16

Step 2: Subtract 12k from both sides.

9k−29−12k=12k+16−12k

−3k−29=16

Step 3: Add 29 to both sides.

−3k−29+29=16+29

−3k=45

Step 4: Divide both sides by -3.

−3k /−3 = 45 /−3

k=−15

Answer:

87

Step-by-step explanation:

the number sequence is upside down

Answer:

Do 01 to x/21 and then it will get 0–238

Step-by-step explanation:

5

Answer:

three small smoothies require one and one-third bananas.

Step-by-step explanation:

Assuming that the three small smoothies are equal, and their sum equals the one large smoothie;

Number of bananas required for one large smoothie = three and three-third

three-thirds mean that out of three parts, three parts were selected. Therefore, three-thirds is the same thing as a whole or 1

∴ three and three-third  [tex]= 3 + \frac{3}{3} = 3 + 1 = 4[/tex]

Therefore, the one large smoothie required 4 bananas.

Large smoothie = 4 bananas

three small smoothies [tex]= \frac{4}{3} = 1 \frac{1}{3}[/tex]

Hence, three small smoothies require one and one-third bananas.

Answer:

answer and explanation in pics above

if u have any questions , pls list them in comments

Answer:

Y= 3

Step-by-step explanation:

To do this u can subtract -4 on each side. Whatever u do to one side of the equal sign u have to do to the other.

+4 and -4 cancel each other out

-11 + -4 = -15

The next step is to divide -5y on each side.

-5y divide by negative -5y cancel each other out leaving the y isolated.

-15 divided by -5 gives u positive 3.

So the answer is y=3

Answer:

$40

Step-by-step explanation:

Multiply 12 by 100 to get 1200 then divide by 30

Answer:

55.648

Step-by-step explanation:

The easiest way is turning both of these numbers into whole numbers by moving the decimal point to the right twice for both numbers. Now our equation will be....

376*1480

Now, we can solve this.

the answer to that equation is 556480.

Since we moved the decimal point to the right before, we have to move it to the left the same amount. Since we moved both of the numbers decimal point to the right twice, we add 2+2 to get 4 which means we have to move the decimal point to the left 4 times.

Our final answer : 55.648

Hope this Helps!!! :)

Let me know in the comments if the answer was perfect or if I should change anything!!!

Answer:

55.648

Step-by-step explanation:

Answer:  (a) 6760000

(b) 5760000

Step-by-step explanation:

Total letters in English alphabet = 26

Total digits = 10

Given: Each automobile license plate number consists of two letters followed by a four-digit.

(a) If there are no restrictions, then the total number of license plates formed = 26 x 26 x 10 x 10 x 10 x 10

= 6760000

(b) if the letters O and I are not used, total letters can be used ]= 26-2=24

Then the total number of license plates formed = 24 x 24 x 10 x 10 x 10 x 10

=5760000

Answer:

Alfred ate 24 hot dogs.

Step-by-step explanation:

Let the number of hot dog ate by Olafs be represented by b.

Since Olafs eats five fewer than triple the hot dogs Alfred eats, and Alfred ate a hot dogs. This can be expressed in a mathematical equation as follows;

b = 3a - 5

But Olafs eats 67 hot dogs, so that b = 67. Thus;

b = 3a - 5

67  = 3a - 5

67 + 5 = 3a

3a = 72

divide both sides by 3 to have;

a = [tex]\frac{72}{3}[/tex]

a = 24

Alfred ate 24 hot dogs.

Answer:

Second Option

Third Option

Step-by-step explanation:

Remember a integer is a number that isn't a fraction nor a decimal so the first option and the fourth option isn't a integer. Leaving the second and third option or "2, and 0" because integers are whole numbers that can be negatives, positives or even just a zero.

Hope this helps.

Answer:

4 divided by 5 is equal to 0.8. This decimal can also be written as a fraction. 0.8 = eight tenths or 8/10 (4/5 in its reduced form).

Step-by-step explanation:

Answer:

0.8

Step-by-step explanation:

4 groups of 0.8=5?

(I didn't fully understand the question, but this is the answer that I would put)

Answer:

Alternate interior angles

Answer:

its B

cos X= 12/15= 0.80

Step-by-step explanation:

i just took the test

Answer:

36. 22 inches

Step-by-step explanation:

Given that :

Head band fabric :

Total = 877.76 inches

Number of players = 30

Number of coaches = 2

Total number = (30 + 2) = 32

Head band Fabric per person :

877.76 / 32

= 27.43

Wristband fabric:

Total fabric used = 263.70

Number of players = 30

Wristband fabric per player :

263.70 / 30 = 8.79

Amount o fabric used on headband and Wristband for each player :

(27.43 + 8.79) = 36.22 inches of fabric per player