Sun estimated the quotient of –23.514 and –3.98 by rounding each to the nearest integer. Which equation shows the correct estimation? Negative 23.514 divided by negative 3.98 Negative 24 divided by negative 4 = 6 Negative 24 divided by 4 = negative 6 24 divided by 3 = 8 24 divided by negative 3 = negative 8

Answer:

a.The value of the van decreases by 20% each year since its purchase.

b.The value of the van decreases by 80% each year since its purchase.

d.Each year since its purchase, the value of the van is 80% of the value of the previous year.

Step-by-step explanation:

From the above question, we are given the Exponential function

V(t)=10,000(0.8)^t

Verifying the given options:

a.The value of the van decreases by 20% each year since its purchase.

Option a is correct , this is because, the Exponential function above is and Exponential Decrease.

The formula is given as:

V(t) = 10000(1 - r) ^t

Where r = Decreasing rate

Comparing

= 1 - r = 0.8

= 1 - 0.8 = r

r = 0.2

Converting to percentage

= 0.2 × 100 = 20%

Option a is correct

b.The value of the van decreases by 80% each year since its purchase.

Let solve for t = 1 and t = 2

V(t) = 10000(0.8) ^t

When t = 1

= 10000× 0.8¹

= 8000

When t = 2

= 10000× 0.8²

= 6400

Confirming option d

For year 2

= 80% × year 1

Year 1 = 8000

= 80% × 8000 = 6400

Option b is correct

c.The value of the van decreases by $2,000 each year since its purchase.

Option C is incorrect

d.Each year since its purchase, the value of the van is 80% of the value of the previous year.

Option d is correct because

Let solve for t = 1 and t = 2

V(t) = 10000(0.8) ^t

When t = 1

= 10000× 0.8¹

= 8000

When t = 2

= 10000× 0.8²

= 6400

Confirming option d

For year 2

= 80% × year 1

Year 1 = 8000

= 80% × 8000 = 6400

Option d is correct

e.Each year since its purchase, the value of the van is 0.8 times the value of the previous year.

Option e is incorrect

From the options given in the question, the correct statements are,

Options a, b, and d.

Answer:

The domain D = {0, 1, 2, 3, 4, 5}

The range R = {3, 4}

Step-by-step explanation:

Given the ordered pairs or points on the graph

{(0, 4), (1, 4), (2, 4), (3, 3), (4, 3), (5, 3)}

We know that the domain of the function is the set of input or arguments for which the function is real and defined.

In other words,

It means the set of all the x-coordinates of the given points or ordered pairs on a graph will be the domain.

Thus,

The domain D = {0, 1, 2, 3, 4, 5}

Determining the range:

We also know that range is the set of values of the dependent variable for which a function is defined.

In other words,

It means the set of all the y-coordinates of the given points or ordered pairs on a graph will be the range.

Thus,

The range R = {3, 4}

Note: Please note that the duplicated elements in the range are written only once.

Answer:

Alex is reading faster by 5 more pages per hour.

Step-by-step explanation:

Alex's rate of reading is 1/2 pages per minute, or 1 page every 2 minutes. To convert his rate to pages per hour, we can divide 60 (minutes in an hour) by 2 (minutes it takes Alex to read a page) which is equal to 30 (pages read in an hour). Therefore, Alex is reading at 30 pages an hour and reading 5 more pages an hour than Sammie.

Answer:

Step-by-step explanation:

P= a+b+c

P= 1512+223+314

=2049

Answer:

The answer is 1/36

Step-by-step explanation:

Step one:

Given data

sample space= $1, $2,$5,$10,$20,$50

sample size= 6

Required

The probability of choosing 20 and 10 dollar bill

Step two

The probability is

1/6*1/6= 1/36

Answer:

3(2+5)−5(3)+8=14

Step-by-step explanation:

Write the problem as a mathematical expression.

=>3(2+5)−5⋅3+8

Simplify each term.

=>21−15+8 = 14

For this problem, we're finding the percent of 300. To do that we:

1. Multiply 300 by 15.

300 x 15 = 4500

2. Divide 4500 by 100. (% = 100)

4500 / 100 = 45

Therefore, the unit price is 45. But we're not done. We need to subtract 45 by 300.

300 - 45 = 255

Now, our answer is 255 and the unit price is 45.

Let me know of any questions!

Answer:

Step-by-step explanation:

F(x) is simply another way of saying y. We are given the x value of -10. We can substitute this in for x and find y.

f(-10) = 7(-10) - 5

f(-10) = -70 - 5

f(-10) = -75

Answer:

Rewrite the equation in term of  

x

and  

y

.

f

(

x

)

=

2

x

2

−

7

x

+

5

Rewrite the equation in vertex form.

Tap for fewer steps...

Complete the square for  

2

x

2

−

7

x

+

5

.

Tap for more steps...

2

(

x

−

7

4

)

2

−

9

8

Set  

y

equal to the new right side.

y

=

2

(

x

−

7

4

)

2

−

9

8

Use the vertex form,  

y

=

a

(

x

−

h

)

2

+

k

, to determine the values of  

a

,  

h

, and  

k

.

a

=

2

h

=

7

4

k

=

−

9

8

Find the vertex  

(

h

,

k

)

.

(

7

4

,

−

9

8

)

Step-by-step explanation:

D.

Its the only one going down 3 and over 1.

The answer would be D because it says -3 and not just 3.

Hope you have a good day!〜

Also please tell me if I'm wrong or not...

Also also if I'm right can I please have Brainliest?

.

Answer:

55%

Step-by-step explanation:

One whole box is shaded plus that one line, if you separate both into 2 100%, the one line will equal to 10% but then divide the 10% in half and the 100% which will equal to 55%

Answer:   The expression represents the price of the skateboard when it is on sale for 25% off = 0.75p

Step-by-step explanation:

Given: Regular price of a skateboard is p.

Discount = 25% off = 0.25p

Now, the  price of the skateboard when it is on sale for 25% off = p - Discount

= p -0.25p

= (1-0.25)p

= 0.75p

Hence, the expression represents the price of the skateboard when it is on sale for 25% off = 0.75p

Answer: The expression represents the price of the skateboard when it is on sale for 25% off = 0.75p

Step-by-step explanation:

Answer:

(4x+5)(x-3)

Step-by-step explanation:

You factor this by grouping together the numbers you get from multiplying/subtracting the numbers in the equation.

Answer:

12 1314

Step-by-step explanation:

i guess this should be the abswer

Answer: e = -2

Step-by-step explanation:

first, i removed the parentheses.

6 + 0.75e = 2 - 1.25e

then, i moved the terms.

0.75 e + 1.25e = 2 - 6

next, i collected the like terms and calculated them.

2e = -4

finally, i divided both sides.

e = -2

Complete question :

The graph below shows the percentages of ingredients in a salad mix.

A pie chart titled Percentages in salad mix. 40 percent is iceberg, 27 percent is romaine, 15 percent is spinach, 12 percent is arugula, 6 percent is carrots.

Dominic buys a 64-ounce container of salad mix. About how many ounces of romaine lettuce does the container have?

Answer:

18 ounces

Step-by-step explanation:

From the pie chart ;

The percentage of each Salad mixture in the mix is given ;

Romaine lettuce occupies 27% of the total salad mix ;

The total of amount of ounce of the entire salad mix is 64 ounce

Therefore, number of ounces of Romaine lettuce in the salad mix is ;

27% of 64

0.27 * 64

17.28

= 18 ounces

x+11/-2=-8

x+11/-2 x -2= -8 x -2

x+11= 16

X+11-11=16-11

x = 5

Answer:

slope of AB = 4

slope of CD = 4

Step-by-step explanation:

We simply use the slope formula for this;

The slope formula is;

m = (y2-y1)/(x2-x1)

for AB, we have;

m = (3+1)/(6-5) = 4

For CD, we have

m = (-1-3)/(1-2) = -4/-1 = 4

Answer:

the correct answer is A , D

Answer:

f(x) = -100(1.05)^(x+5) + 50

Step-by-step explanation:

Here, we want to write an equation that represents the transformation

5 units right means 5 units on the positive x-axis

50 units up means we add this to the total y value

So the resulting equation will be;

f(x) = -100(1.05)^(x+5) + 50

9514 1404 393

Answer:

  A(-8, 6), D(-1, -16), E(17, -3)

Step-by-step explanation:

Any point with an x-value that matches any of {-8, -1, 5, 15, 17} will prove Mariela's claim incorrect. (A function cannot use an x-value more than once.)

Those points are ...

  (-8, 6), (-1, -16), (17, -3)

Answer:

Workers in San Diego = 260 workers

Step-by-step explanation:

Total workers = 480

Number of offices = 3

In each office in different cities

New york = 90 workers

Denver = 130 workers

San Diego = x workers

Find x

Total number of workers = workers in New York + workers in Denver + workers in San Diego

480 = 90 + 130 + x

480 = 220 + x

480 - 220 = x

260 = x

x = 260 workers

Workers in San Diego = 260 workers

Answer:

Step-by-step explanation:

250

Answer:

The value of n is 2.

Step-by-step explanation:

The total number of people in the choir = 60

Number of  women in the choir = 30

Let the number of men in the choir be represented by x, so that;

Number of women = 3x

So that;

3x = 30

x = [tex]\frac{30}{3}[/tex]

 = 10

The number of men in the choir is 10.

the number of children in the choir: the number of men in the choir = n:1

number of children in the choir = 60 - (number of women + number of men)

                                                    = 60 - 40

                                                    = 20

number of children in the choir = 20

Thus,

the number of children in the choir: the number of men in the choir = 20:10

                                                            = 2:1

The value of n is 2.

Answer:

20 men in the choir and 40 children

Step-by-step explanation:

IT IS THE THIRD ONE:

3+8.486

because I find it like that

Answer:

3*6+5= 23

Step-by-step explanation:

Answer:

yes

Step-by-step explanation:

0-10 is obvious because when you look at the chart you can clearly see that theres alot kidsof

Answer:

1. 0.0833

2. 0.1

3.  0.1428

4.  0.1333

5. 0.1666

6.  0.0625