devin runs 12 minutes per mile, and jack runs at 10 minutes per mile, how long will it take jack to catch devin? estimate your answer using the graphing method

Answer:

64

Step-by-step explanation:

80*(1-0.2)

Since the discount is 20% off,

the sale price will be 100% - 20% = 80% of the regular price.

80% of $80

[tex] \frac{80}{100} \times 80[/tex]

[tex] \frac{8}{10} \times 80[/tex]

[tex] \frac{4}{5} \times 80[/tex]

[tex]0.8 \times 80[/tex]

= $ 64

Answer and explanation:

Given: Belinda wants to invest $1,000. The table below shows the value of her investment under two different options for three different years:  

Number of years 1 2 3

Option 1 (amount in dollars) 1100 1200 1300

Option 2 (amount in dollars) 1100 1210 1331  

To find:

Part A: What type of function, linear or exponential, can be used to describe the value of the investment after a fixed number of years using option 1 and option 2?  

Part B: Write one function for each option to describe the value of the investment f(n), in dollars, after n years.  

Part C: Will there be any significant difference in the value of Belinda's investment after 20 years if she uses option 2 over option 1?

Solution:

Part A: Linear and exponential functions can be used to describe the value of the investment after a fixed number of years using option 1 and option 2, respectively.  

Part B: (n=n+100) and (n=n+100x) are the functions for each option to describe the value of the investment f(n), in dollars, after n years.  

Part C: Yes, there will be a significant difference of 1900 in the value of Belinda's investment after 20 years if she uses option 2 over option 1.

Part A:

In the case of option 1, the linear function can be used to describe the value of the investment after a fixed number of years. This is because, in option one, the amount increases by a fixed amount every year.

In the case of option 2, the exponential function can be used to describe the value of the investment after a fixed number of years. This is because, in option 2, the amount increase is higher than last year.

Part B:

For option 1, the function is

For option 2, the function is

Here, x is the increase in amount every consecutive year.

Part C:

After 20 years, the amount from option 1 would be 3000 and the amount from option 2 would be 4900. Thus, there is a difference between 1900.

Therefore,

Part A: Linear and exponential functions can be used to describe the value of the investment after a fixed number of years using option 1 and option 2, respectively.  

Part B: (n=n+100) and (n=n+100x) are the functions for each option to describe the value of the investment f(n), in dollars, after n years.  

Part C: Yes, there will be a significant difference of 1900 in the value of Belinda's investment after 20 years if she uses option 2 over option 1.

Hope this helps

Answer:

the answer is written below

Step-by-step explanation:

Let side of Inner square be S and side of Outer side be mS.

Area of Inner Square = S**2

Area of Outer Square = (mS)**2

The ratio of area of Inner Square and Outer Square is 1:m**2

i.e. Area of Outer Square will be m**2 times Area of Inner Square.

The distance closest to the distance the dog went is 31.42 ft

Since the dog moves around in one full circle, the distance the dog moves is the circumference of a circle.

The circumference of a circle C = 2πr where r = radius of circle.

Now r = length of leash = 5 foot

So, substituting r into the equation, we have

C = 2πr

C = 2π × 5 ft

C = 10π ft

C = 10 × 3.142 ft

C = 31.42 ft

So, the distance closest to the distance the dog went is 31.42 ft

Learn more about circumference of a circle here:

https://brainly.com/question/15673093

Answer:

480

Step-by-step explanation:

4% of 12,000=480

Answer:

Refer to the attachment for solution

Answer:

Step-by-step explanation:

Refer to the attachment for a solution

Answer:

? wdym

Step-by-step explanation:

well points i guess i also need one more brainliest if you can give

Answer:

The first one answer is 4 because 8x2=16 divide by 4 will equal 4.

The second one answer is 10 because 10 x 4=40 and divided by 4 will equal 4.

The third one answer is 6/6 which will equal 1 because it is an whole number.

Solution:

Note that:

Simplifying the expression:

The simplified expression is -11x + 8.

[tex] \rm \: ( - \frac{11}{2} x + 3) - 2( \frac{11}{4} x - \frac{5}{2} )[/tex]

Distribute -2 through the parentheses

[tex] \rm \: ( - \frac{11}{2} x + 3) - \frac{11}{2} x + 5[/tex]

Remove the unnecessary parentheses

[tex] \rm \: - \frac{11}{2} x + 3 - \frac{11}{2} x + 5[/tex]

Calculate the difference

[tex] \rm \: - 11x + 3 + 5[/tex]

Calculate the sum

[tex] \boxed{ \mathfrak{ - 11x + 8}}[/tex]

Answer:

az-bz+3b^2-6ab+3a^2

Hope this helps

Answer:2.07 is the answer as of e.2020 

Step-by-Step: Mean = 270 Standard deviation = 10 x = 255 Formula for z-score, z = (x - mean)/SD z = (255 - 270) / 10 => z = -15 / 10 => z = -1.5 So by referring to z-table, -1.5 correlates to 0.0668 that implies to 0.07 So 7% of the boxes of Apples weight less than 255oz. The percentage of boxes is in the range of 255 oz and 270 oz, Now calculating the requiring percentage 50% - 7% = 43%

Answer:

1/3 and -1/3

Step-by-step explanation:

6 times 1/3 = 2
because there are absolute value brackets that means that the answer can be 1/3 or -1/3 because the absolute value brackets will make it positive regardless.

Step-by-step explanation:

8/24 = 21/63 = 1/3

yes it's a proportion

Answer: 2

If there are 6 people, and there are 12 muffins, then we simply divide 12 by 6. This gives us 2. Which means that each person can get 2 muffins.

Step-by-step explanation:

Hope this helps =)

Take 2points

Slope:-

[tex]\\ \tt\longrightarrow m=\dfrac{-1-3}{2+1}=\dfrac{-4}{3}[/tex]

Answer:

y=mx+b

The slope of a linear function can be calculated by dividing the difference between y-values by the difference in corresponding x-values of any two points on the line. The slope and initial value can be determined given a graph or any two points on the line.

For example if you want to use the points from the line (-2,4)  (7,-8) from the graph given to you you use the equation: m=(y2-y1)/(x2-x1) substitute the values: m= -8-4 / 7-(-2) = -1.3333

So the slope equals -1.3

The equation of the line is y = -1.3x + 2

I hope this helps.

Answer:

π represents the ratio between circumference and diameter and for any circle, its always 3.14. Circumference = pi × diameter, so using your approximation of pi it's 10×3.14 = 31.4cm.

Step-by-step explanation:

Answer:

37/28 is the lowest form

Step-by-step explanation:

Hope this helps! :)

Answer:

A) The parallelogram is a rhombus

Step-by-step explanation:

A rhombus is an equally 4-sided figure with two acute angles and two obtuse angles opposite of each other.

ur fatherless

lllmaaao

Answer:

109 mg

Step-by-step explanation:

Answer:

1.05 Grams?

Step-by-step explanation:

Hope This Helps :)

Answer:

  18 terms

Step-by-step explanation:

The first given sequence has first term a1=2 and common difference d=5. Its explicit formula is ...

  an = 2 +5(n -1) = 5n -3

We want the n-th term of this sequence to be the same as the n-th term of the sequence defined by ...

  an = 4n +15

We can find n that makes this true by setting the 'an' values equal:

  an = an

  5n -3 = 4n +15

  n = 18 . . . . . . . . . . add 3-4n

The number of terms in each sequence is 18.

_____

Additional comment

The last term in each sequence is 87.

Answer:

17.3 ft

Step-by-step explanation:

We can use the Pythagorean theorem to solve

a^2 + b^2 = c^2  where a and b are the legs and c is the hypotenuse

10^2 + h^2 = 20^2

100 + h^2 =400

Subtract 100 from each side

h^2 = 400-100

h^2 = 300

Taking the square root of each side

sqrt(h^2) = sqrt(300)

h = 17.32050808

Rounding to the nearest tenth

h = 17.3 ft

Answer:

1711568

Step-by-step explanation:

184*9302 = 1711568

Use a calculator to check your work

Answer:

15

Step-by-step explanation:

Answer:

The question is not complete

Answer:

3 Wholes
Exact Amount: 3.5

Answer:

2

Step-by-step explanation:

Subtract -7--5=-2, there can not be a length on a rectangle of -2 so it would just be 2.

Answer:

2

Step-by-step explanation:

Answer:

1+2=180(supplemental)

3+4=180

5+6=180

7+8=180