Suppose a car is initially worth $20,000, and suppose that after one year, the car is now worth $18,673. Write an exponential function that models this scenario, and then estimate the value of the car after five years

Answer:

y-intercept = 2/3

Slope = 0

Step-by-step explanation:

Equation of Line is y=mx+c

where m is the Slope

and c is the y-intercept

so for our Problem

y=2/3

which can be rewritten as y=0x+2/3 (y=mx+c)

so Slope =m=0

and y-intercept = c = 2/3

The addition of the new dog will change the median. The correct answers may be A and D.

The Median is the middlemost value of the numbers arranged in ascending order. If the number of the data is an odd number so the median will be a middle number if the number of the data is even then the median is the mean of the middle two numbers.

In light of the fact that the average weight of 15 dogs in a pet shop is 12 pounds. The median will shift as a result of the new dog. The right responses could be A and D.

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Answer:

I learned how to multiply

Step-by-step explanation:

8×8=64

8 times the number you are multiplying

like this look

IIIIIIII there are Eight sticks each one has a value of 8

so you go 8,16,24,32,40,48,56,64. more

4x+5=21

4$ each ticket that means 4x plus 5$ the handling fee

= the total cost 21 $

This is the Answer really

Answer:

I believe it is sometimes

Step-by-step explanation:

Answer:

WRONG!!!!!!

the answer is; Is never

brainist please

Answer:

d

Step-by-step explanation:

the length of the third side should be less than the sum of other two sides, that is  5+ 11 = 16 and it should be greater than the 5

6 < x < 16

Answer:

3

Step-by-step explanation:

Answer:

False

Step-by-step explanation:

3^5=234

234x2=486

486=64

The numbers dont match.

Hence, the equation is false

Answer:

Not true

Step-by-step explanation:

= 3⁵ x 2

= 3 x 3 x 3 x 3 x 3 x 2

= 9 x 9 x 6

= 81 x 6

= 486

486 ≠ 64

Not true

Step-by-step explanation:

4x - 2y = 8

y = -2

4x -2(-2) = 8

4x + 4 = 8

4x = 4

x = 1

The tower will work within next 11 miles inasmuch the drives moves through the road.

The maximum distance corresponds to the radius of the tower ([tex]r[/tex]), in kilometers, the east direction corresponds to the +x semiaxis and the north direction corresponds to the +y semiaxis. The angle and magnitude of the rest stop are found below:

[tex]l = \sqrt{5^{2}+12^{2}}[/tex]

[tex]l = 13[/tex]

[tex]\theta = \tan^{-1}\left(\frac{12}{5} \right)[/tex]

[tex]\theta \approx 67.380^{\circ}[/tex]

To determine distance within the cellular phone tower works we need to solve the following system of linear equations representing vector components:

[tex]5 + x = 20\cdot \cos \theta[/tex]  (1)

[tex]12 = 20\cdot \sin \theta[/tex]   (2)

By (2):

[tex]\theta = 36.869^{\circ}[/tex]

By (1):

[tex]x = 11[/tex]

The tower will work within next 11 miles inasmuch the drives moves through the road. [tex]\blacksquare[/tex]

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Using the percentage concept, it is found that 95.4% of the park will be used for other activities.

The percentage of an amount a over a total amount b is given by a multiplied by 100% and divided by b, that is:

[tex]P = \frac{a}{b} \times 100\%[/tex]

In this problem, there will be two courts of 5,000 square feet each, totaling 10,000 square feet. The remainder 207,800 square feet will be used for other activities, hence the percentage is given by:

[tex]P = \frac{207,800}{217,800} \times 100\% = 95.4\%[/tex]

95.4% of the park will be used for other activities.

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Let x = ml of 21% solution

Let y = ml of 15% solution

ATQ,

x + y = 60.....(1)

or

0.21x + 0.15y = 0.6....(2)

Multiplying equation 1st by 0.21, we get,

0.21y+0.21y =12.6....(3)

subtracting equation 3

0.21y+0.21y =12.6

-0.21x +0.15y = 0.6

_________________

ㅤㅤㅤ 0.6y = 12

_________________

Hence , Conner needs 20ml of 21% solution & 40ml of 15% solution

Answer:

3.5

Step-by-step explanation:

10.5 divided by 3= 3.5

Answer:

2286

Step-by-step explanation:

If you take 14 percent of a number and get 320, then what is that number? In other words, you know that 14 percent of a number is 320 and you want to know what that initial number is.

To solve this problem you multiply 320 by 100 and then divide the total by 14 as follows: (320 x 100) / 14

When we put that into our calculator, we get the following answer:

2285.71

can't have a portion of someone to you round it to the nearest whole number.

Answer:

The town’s population is 2286 (approximately)

Step-by-step explanation:

Let x be the number of the town’s residents :

We can translate the statement “14% of the town’s population is over the age of 65 and there are 320 residents over the age of 65” mathematically like this :

[tex]\frac{14}{100} x=320[/tex]

[tex]\Longrightarrow 14x=320\times 100\\\\\Longrightarrow 14x=32000[/tex]

[tex]\Longrightarrow x=\frac{32000}{14}[/tex]

[tex]\Longrightarrow x=2285.71428571429[/tex]

Answer:

y=-1+squareroot 47l /6, -1- squaroot 47l/6

Step-by-step explanation:

3x^2 +2x+4−x=0

3x^2 +x+4=0

y=-1+squareroot 47l /6, -1- squaroot 47l/6

Answer:

7.5

Step-by-step explanation:

Sum of a geometric series,

[tex] \frac{a _{1}(1 - r {}^{n} ) }{1 - r} [/tex]

Where a1 is the first term, R is the common ratio, n is the number of terms.

a1 is 5

r is 1/3

n is 10.

[tex] \frac{5(1 - ( \frac{1}{3} ){}^{10} ) }{ \frac{2}{3} } [/tex]

Which is about

7.50

To meet the goal of $320.00 for the playground, they need to raise a total of $400.00

We know that for each $20 raised, they get $16 for the playground. They need to get $320.00 for the playground.

Taking the quotient:

N = $320.00/$16 = 20

This means that they need to raise $20 20 times, so they get $16 20 times which is equal to $320.

Then, we can conclude that they need to raise a total of:

$20*20 = $4,000

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Answer:

Step-by-step explanation:

The sort of sequence it is can be determined by looking at the differences of n-values and the differences of t(n)-values. When the n-value differences are constant, the nature of the relation between the t(n)-values can tell you the kind of sequence.

Here, the n-values all differ by 1. The t(n)-value differences double with each increase in n. That is, they are 5 and 10. We notice also that the t(n) values double with each increase in n. We can fill the rest of the table using that relationship:

  t(n) = t(n-1) × 2 . . . . . each term is double the previous term

  t(4) = t(3) × 2 = 20 × 2 = 40

  t(5) = t(4) × 2 = 40 × 2 = 80

When the terms of the sequence have a common ratio, the sequence is geometric, and the function describing the sequence is an exponential function.

__

The general term of a geometric sequence is ...

  t(n) = t(1) × r^(n-1)

The table tells us the first term is ...

  t(1) = 5

And our observation above tells us the common ratio is r = 10/5 = 2. Then the equation of the sequence is ...

  t(n) = 5 × 2^(n-1)

__

See the attachment for a graph.

Answer:

a)   (4, 40) and (5, 80)

b)  [tex]t(n)=2.5 \cdot2^n[/tex]

c)  see attached

Step-by-step explanation:

As the value of t(n) doubles each time, we can conclude that this is an exponential function.

Therefore, the missing ordered pairs are (4, 40) and (5, 80)

General form of an exponential function:  [tex]y=ab^x[/tex]

where:

If [tex]b > 1[/tex] then it is an increasing function

If [tex]0 < b < 1[/tex] then it is a decreasing function

Given:

Substitute these ordered pairs into the general form of the exponential function:

Equation 1:   [tex]ab^2=10[/tex]

Equation 2:   [tex]ab^3=20[/tex]

Divide Equation 2 by Equation 1 to find [tex]b[/tex]:

[tex]\implies \dfrac{ab^3}{ab^2}=\dfrac{20}{10}[/tex]

[tex]\implies b=2[/tex]

Now substitute the found value of [tex]b[/tex] into one of the equations and solve for [tex]a[/tex]:

[tex]\implies ab^2=10[/tex]

[tex]\implies a\cdot 2^2=10[/tex]

[tex]\implies a=\dfrac{10}{4}[/tex]

[tex]\implies a=2.5[/tex]

So the final exponential equation is:  [tex]t(n)=2.5 \cdot2^n[/tex]

Graphing

Plot the points from the table

To find the y-intercept:

Substitute [tex]n = 0[/tex] into the equation:

[tex]\implies t(0)=2.5 \cdot2^0[/tex]

[tex]\implies t(0)=2.5[/tex]

Therefore, the y-intercept is at (0, 2.5)

Asymptote:  [tex]t(n) = 0[/tex]

Answer:

2.2

Step-by-step explanation:

11÷5 because 20 goes into 100 5 tines hope this helps!:)

Answer:

a = 55

Step-by-step explanation:

1. Set up the equation: 0.2a = 11 (20% is equal to 0.2 because to convert a percentage to a decimal you divide it by 100. In math, "of" means "times" and "is" means "equals" so the equation is 0.2 x a = 11, which can be shortened to 0.2a = 11).

2. Divide both sides by 0.2. You will be left with a = 55.

Answer:

.053

Step-by-step explanation:

The decimal places go all the way out to the thousandths place. In order to properly compare all of the decimals, it's best to add zeroes in place of any empty decimal places in any of the numbers.

.5 would now be .500

.53 would now be .530

And the other two numbers are already in the thousandths place, so those don't need to be changed.

Now, we can put all the numbers next to each other and compare. You compare decimals the same way you compare normal numbers- just act as if the decimal points aren't there.

If the numbers were 500, 530, 053, and 503, we know that 053 would be the smallest number. Therefore, the decimal .053 is the smallest.

I hope this helps! :) have a lovely day!!

Answer:

[tex](2 + 6)2 = 16[/tex]

.....

....

.....

....

Answer:

2 - 2 * 3 2 - 6 equal to -4

Answer:

C) glossary

Step-by-step explanation:

It is the one given in the picture.

Answer:

1. 3x^3(x+5)(x-5)

2. (9c+4)^2

3. 3x^2 + 2x +5

4. (5x-9)^2=0

Step-by-step explanation:

Answer:

D. 1/2 x 5/4

Step-by-step explanation:

A.

1/2 x 4/5 = 2/5

0.5 x 0.8 = 0.4

B.

1/2 x 4/4 = 1/2

0.5 x 1 = 0.5

C.

1/2 x 5/5 = 1/2

0.5 x 1 = 0.5

D.

1/2 x 5/4 = 5/8

0.5 x 1.25 = 0.625

I hope this helps!

Answer:

24"?

Step-by-step explanation:

Answer:

why?..

Step-by-step explanation:

mark me brainliest!!

Answer:

[tex]x\geq 12[/tex]

x is greater than or equal to 12

Step-by-step explanation:

We first start off with recognizing that this is an inequality, and that the answer choices involve solving for [tex]x[/tex].

I suggest that you write out the steps one-by-one and don't skip any so that making a mistake is less likely.

Rewrite the original equation:

[tex]-\frac{3}{4}x + 2 \leq -7[/tex]

Use reverse PEMDAS (Parentheses, Exponents, Multiplication/Division, Addition/Subtraction) order to isolate [tex]x[/tex]:

Subtract 2 from both sides: [tex]-\frac{3}{4} x \leq -9[/tex]

Divide both sides by [tex]-\frac{3}{4}[/tex] (this flips the inequality symbol since we're dividing by a negative number): [tex]x\geq 12[/tex]

Your final answer is:

[tex]x \geq 12[/tex]

x is greater than or equal to 12

If you want to do any further reading on this topic, search up videos and other helpful resources by putting, "Solving Inequalities" into your preferred search engine.

The larger the negative number gets, the farther from zero it becomes. -9.8 is closer to zero- therefore "larger" than -11.3.

Have a nice day/night :)

~pinetree