What is this limit? Without using lopital rule

Mr. Allen starts with a higher initial amount ($560) compared to Mr. Jessup ($400).

Mr. Allen pays off a larger amount each month ($80) compared to Mr. Jessup ($40).

The initial values and rates of change for Mr. Allen's and Mr. Jessup's payment plans can be compared based on the given information.

1. Initial Values:

  - Mr. Allen's initial amount S: $560

  - Mr. Jessup's initial amount: $400

  Difference in initial values: $560 - $400 = $160

  Mr. Allen's initial value is $160 more than Mr. Jessup's.

2. Rates of Change:

  - Mr. Allen's rate of change: $80 per month

  - Mr. Jessup's rate of change: $40 per month

  The rate of change represents the amount by which the owed amount decreases each month. Mr. Allen's rate of change is greater because he pays off $80 per month, while Mr. Jessup pays off $40 per month.

In summary:

Mr. Allen starts with a higher initial amount ($560) compared to Mr. Jessup ($400).

Mr. Allen pays off a larger amount each month ($80) compared to Mr. Jessup ($40).

Complete question:

Mr. Allen bought a new computer. His monthly payment plan is shown in the table.

Month                                      0        1     2         3        4       5      6     7

Amount Mr. Allen Owes (S)  560 480   400  320   240  160  80    0

Mr. Jessup buys a new computer for $400. He makes monthly payments of $40 until the computer is paid for. Compare the initial values and rates of change of each function.

You can graph both functions to show that the amount Mr. Allen owes starts at $560 and decreases $80 per month. The amount that Mr. Jessup owes starts at $400 and decreases $40 each month.

Mr. Allen's initial value is $160 more than Mr. Jessup's. Mr. Allen's rate of change is greater than Mr. Jessup's rate of change.

To calculate Peter's monthly expenses, add up the amounts in row 5 of the table. Compare the total expenses with different salaries to determine if Peter can meet them. Advise Peter to create a budget and prioritize expenses if he wants to move out.

To calculate Peter's monthly expenses, we need to add up all the amounts in row 5 of the table. Assuming each amount represents a monthly expense, we can sum them up to get the total monthly expenses. To determine if Peter can meet his expenses with different salaries, we compare the total expenses with each salary. If the salary is greater than or equal to the total expenses, Peter can meet his expenses. If the salary is less than the total expenses, Peter cannot meet his expenses.

If Peter wants to move out of his parent's house, I would advise him to create a budget and prioritize his expenses. He should also consider finding ways to increase his income or reduce his expenses to make moving out more affordable.

Answer:

in 20 years Sam = 32 = same as Mary so 20 years before Mary was 12 and Sam was 4 times older when she was 48. Sam is now 48 and Mary is 48.  

Step-by-step explanation:

Answer:

Gaby do not need to borrow money and they are left with $39.5      

Step-by-step explanation:

We are given the following in the question:

Total money = $50

Cost of a Cobb salad = $8.95

Cost of a drink = $1.55

Order: A Cobb salad and a drink

Cost of order =

[tex]= 8.95 + 1.55\\=\$10.5[/tex]

Thus, the total cost of order is $10.5

Money left =

= Total money - Order bill

[tex]=50 - 10.5\\=\$ 39.5[/tex]

Thus, Gaby do not need to borrow money and they are left with $39.5.

Step-by-step explanation:

Among the three sides of length 9cm,11cm and 13cm;

9cm is the shortest and 13cm is the longest

the shortest of the corresponding i.e 9cm real - life distance= 125 km

Therefore, the longest of the corresponding i.e 13cm real - life distance= 125 ×13/9

= 180.55

= 180.6 km

Answer:

[tex]\frac{337}{100}[/tex]

Step-by-step explanation:

It is given that one cup of cooked spinach contains 337% of the recommended value of vitamin A.

Therefore, vitamin A is present in one cup of cooked spinach by 337%.

Hence, to represent the fraction of the recommended daily value of vitamin A in one cup of cooked spinach, it will be [tex]\frac{337}{100}[/tex]. (Answer)

{Converting the percentage into fraction}

ye boi its A | SMART BOIS

Answer:

240,000,591÷176= 1363639.72159

Answer:

1,363,639.721590909

Step-by-step explanation:

The test has 35 multiple-choice questions and 3 open-ended questions.

To solve this, we can set up a system of linear equations. Let x represent the number of multiple-choice questions and y represent the number of open-ended questions.

Equation 1: x + y = 38 (total questions)

Equation 2: 4x + 20y = 200 (total points)

By solving this system of equations, we can find the values of x and y. First, multiply equation 1 by 4 and subtract it from equation 2:

4(x + y) = 4(38) => 4x + 4y = 152

4x + 20y = 200 - (4x + 4y = 152) gives: 16y = 48 or y = 3.

Substituting y = 3 into equation 1 gives: x = 38 - 3 = 35.

Therefore, there are 35 multiple-choice questions and 3 open-ended questions on the test.

Answer:

8 Newtons

Step-by-step explanation:

Friction and Gravity are both known to be negative forces such as -20 and -14

So doing the math

22 + 20 = 42

42 - 20 = 22

22 - 14 = 8

8 is your answer, hope this helped!

Answer:

8 N to the right.

Step-by-step explanation:

Resolving vertical forces

upwards = 20 N, down = 20 N

- so the Net Force = 0.

Resolving horizontally :

Net force =  22 - 14 = 8 Newtons.

The error in the amount of change she was 25.28%.

Step-by-step explanation:

Given,

The actual price = 15.65$

The amount Luna gives to cashier = 20$

The change she receives = c = 3.25$

The actual amount of changes = x = total amount - actual price:

20$ - 15.65$ = 4.35

The percentage of error can be found using: [tex]\frac{x-c}{x}[/tex]

By putting the values in equation, we get

=> [tex]\frac{4.35 - 3.25}{4.35} * 100[/tex]

=> [tex]\frac{1.10}{4.35} * 100[/tex]

=> 25.28  %

Hence, the error in the amount of change she was 25.28%.

The percent error in the amount of change Luna was given is:

[tex]\[\boxed{25.29\%}\][/tex]

To determine the percent error in the amount of change Luna was given, we need to compare the actual change received to the correct change she should have received.

Step 1: Calculate the Correct Change

Luna gave the cashier $20 for a shirt that costs $15.65. The correct amount of change should be:

[tex]\[\text{Correct Change} = 20 - 15.65 = 4.35 \, \text{dollars}\][/tex]

Step 2: Calculate the Error

The cashier gave Luna $3.25 instead of $4.35. The error in the change given is:

[tex]\[\text{Error} = \text{Correct Change} - \text{Actual Change Given} = 4.35 - 3.25 = 1.10 \, \text{dollars}\][/tex]

Step 3: Calculate the Percent Error

Percent error is given by the formula:

[tex]\[\text{Percent Error} = \left( \frac{\text{Error}}{\text{Correct Change}} \right) \times 100\][/tex]

Substitute the values into the formula:

[tex]\[\text{Percent Error} = \left( \frac{1.10}{4.35} \right) \times 100\][/tex]

Perform the division:

[tex]\[\frac{1.10}{4.35} \approx 0.2529\][/tex]

Convert to a percentage:

[tex]\[0.2529 \times 100 \approx 25.29\%\][/tex]

The percent error in the amount of change Luna was given is:

[tex]\[\boxed{25.29\%}\][/tex]

Answer:

Step-by-step explanation:

(−8* y^2−9*y)+(8*y^3+9*y^2−2*y) 

first, remove extraneous parentheses (or distribute if negative)

=−8* y^2−9*y+8*y^3+9*y^2−2*y  

then group terms in decreasing degree of y (variable)

=+8*y^3 −8* y^2+9*y^2  −9*y−2*y

simply expression by adding/subtracting similar terms

=+8*y^3 +y^2  −11*y

to give the final answer.

Without additional information about the relationship between the two circles, it is not possible to definitively determine the area of circle B based on the area of circle A. If the circles are identical, the area of circle B is also 72 pi.

Given the area of the circle with the centre A is 72 pi, we find the radius using the formula for the area of a circle: A = πr². Therefore, the radius of circle A, rA, can be found by rearranging the formula to rA = √(A/π). This gives us a radius of √(72) = 8.48 units. Without further information about the relationship between circle A and circle B, we cannot definitively determine the area of circle B. If the two circles are identical, then the area of circle B would also be 72 pi. However, if the radius or diameter of circle B is different, you would have to use that measurement to calculate the area using the formula A = πr².

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Answer:

Hi I am cool

Step-by-step explanation:

Answer:

Don't you just divided that by 3?

Step-by-step explanation:

Answer:

Dog: 9 pounds

Cat: 18 pounds

Step-by-step explanation:

x + y= 27

y = 2x

2x + x = 27

3x = 27

x = 9

y = 2x = 18

Answer:

Slope=-6/5

Step-by-step explanation:

Formula for calculating slope is y2-y1/x2-x1

y1=1

y2=-5

x1=-3

x2=2

Apply the above formula

-5-1/2-(-3)

-5-1/2+3

-6/5

Answer:

  things are the same as they were

Step-by-step explanation:

"No change" in math means the same thing it does in English. Whatever it is you're looking at is the same now as it was before. It has not changed. The amount of change is zero.

Final answer:

In mathematics, 'no change' refers to a situation where a value or quantity remains constant over time or during certain operations. It can be used in various contexts, including functions, equations, and graphing to represent a static state.

Explanation:

In mathematics, the term 'no change' often refers to a situation where a value remains constant over time or through a particular process. For example, if a quantity does not increase or decrease, we can say that there has been no change in that quantity. Another way this might come up is in functions or equations, where certain operations have no effect on the input value, meaning the output remains the same as the input.

No change could also mean that a variable or a set of variables remains unaffected by certain transformations. In algebra, it might refer to a constant function where, regardless of the input, the output is always the same. No change might also be used in the context of graphing; if a graph stays flat without any increase or decrease, it represents no change in the value being graphed over the specified domain.

Answer:

becouse the value of the exponential function cant go negative... there is no exponent that makes a number negative if the base is positive..

Step-by-step explanation:

Basic exponential functions have a horizontal asymptote at y = 0 because as the input x increases, the output of the function approaches zero but never touches it due to exponential decay.

Basic exponential functions always have a horizontal asymptote at y = 0 because as the value of x becomes very large, the value of the exponential function approaches zero. This is due to the nature of exponential decay, where the function's rate of change decreases exponentially. Exponential functions are of the form f(x) = a^x, where a is a positive constant different from 1. When a is less than 1, the function represents exponential decay, and as x approaches infinity, f(x) approaches zero, but never actually reaches it, hence creating a horizontal asymptote at y = 0.

Option D:

[tex]\left(y^{2}+3 y+7\right)\left(8 y^{2}+y+1\right)=8 y^{4}+25 y^{3}+60 y^{2}+10y+7[/tex]

Solution:

Given expression is [tex]\left(y^{2}+3 y+7\right)\left(8 y^{2}+y+1\right)[/tex].

To find the product of the expression:

[tex]\left(y^{2}+3 y+7\right)\left(8 y^{2}+y+1\right)[/tex]

Multiply each term of the first term with each term of the 2nd term.

           [tex]=y^{2}\left(8 y^{2}+y+1\right) +3 y\left(8 y^{2}+y+1\right) +7\left(8 y^{2}+y+1\right)[/tex]

Using the exponent rule: [tex]a^m \cdot a^n = a^{m+n}[/tex]

           [tex]=\left(8 y^{4}+y^3+y^2\right) +\left(24 y^{3}+3y^2+3y\right) +\left(56 y^{2}+7y+7\right)[/tex]

           [tex]=8 y^{4}+y^3+y^2+24 y^{3}+3y^2+3y+56 y^{2}+7y+7[/tex]

Arrange the terms with same power.

           [tex]=8 y^{4}+y^3+24 y^{3}+y^2+3y^2+56 y^{2}+7y+3y+7[/tex]

           [tex]=8 y^{4}+25 y^{3}+60 y^{2}+10y+7[/tex]

Hence option D is the correct answer.

[tex]\left(y^{2}+3 y+7\right)\left(8 y^{2}+y+1\right)=8 y^{4}+25 y^{3}+60 y^{2}+10y+7[/tex]

Answer:

b

Step-by-step explanation:

Answer:

[tex]2304 \ in^3[/tex]

Step-by-step explanation:

Given the surface dimensions of the garden as 24 inches by 48 inches:

#Calculate surface area of the garden's top:

[tex]A=lw\\\\=48\times 24\\\\=1152 in^2[/tex]

Given the soil's thickness is 2 Inches, we multiply this thickness by the garden's surface area to get volume of soil used:

[tex]V=tA, t-thickness, A=Area=1152 \ in^2\\\\=2 \ in \times 1152\ in^2\\\\=2304 \ in^3[/tex]

Hence, the amount of soil used is 2304 cubic inches.

Answer: those are right!

Hope this helps ❤️

The median is is the midpoint of the data. This means half is below 50 and half is above 50.

The answer would be they handle less than 50 accounts.

50% of sales managers at Force Inc. manages fewer than 50( = the median given) number of accounts.

Given that:

[tex]Min = 35\\Q_1 = 45\\Median = 50\\Q_3 = 65\\Maximum = 85[/tex]

These 5 numbers summary tells the partition of data or quartiles with endpoints as minimum and maximum.

The median is a point for which the counts of data lying above it is equal to the counts of data lying below it.

Since the question asks about :

50% Sales managers manage < ? number of accounts

and since 50% of data lie below and above the median which is 50 given in the table.

Thus we have:

50% of the Sales manager at Force Inc. managing fewer than 50(the median given) number of accounts.

Learn more here:

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Answer:

5 or 3

Step-by-step explanation:

Answer:

1) { 2,3,4,6,8,9,10,12,15} , {2,4,8,10}, { 2,4,8,10}

Step-by-step explanation:

£ = [ 1,2,3,4,6,8,12,16,24 48}

A = { 2,4,6,8,10}

B = { 3,6,9,12,15}

1) AUB = all members in A and B

= { 2,3,4,6,8,9,10,12,15}

2) AnB' = members in A not in B

{2,4,8,10}

3) A - B = take away members of B in A that is B from A

= { 2,4,8,10}

I hope this was helpful, please mark as brainliest

Answer: 9+x

Step-by-step explanation:

If you have x apples, and you need nine more, you would need to ADD 9 and "x".

For the given rectangles, [tex]f=4[/tex] cm and [tex]g = 6[/tex] cm.

Step-by-step explanation:

Step 1:

The area of a rectangle is calculated by multiplying its length with its width. Both the rectangles APQD and PBCQ have the same width.

The second rectangle PBCQ has a length of 9 cm. Its area is determined by subtracting the area of APQD from the area of ABCD.

The area of the rectangle PQBC [tex]= 60 - 24 = 36[/tex] [tex]cm^{2}[/tex].

Step 2:

The length of rectangle PBCQ is 9 cm and the area is 36 [tex]cm^{2}[/tex] so the width can be determined.

[tex]Width = \frac{area}{length} = \frac{36}{9} = 4[/tex] cm. So [tex]f=4[/tex] cm.

Step 3:

The width of the rectangle APQD is also 4cm.

The width of the rectangle APQD is 4 cm and the area is 24 [tex]cm^{2}[/tex].

[tex]length = \frac{area}{width} = \frac{24}{4} = 6[/tex] cm. So [tex]g = 6[/tex] cm.

Answer:

8

Step-by-step explanation:

Area of a circle = πr^2

64π / π = πr^2 / π

sqrt(64) = sqrt(r^2)

8 = r

Answer:  8

Answer:9/7+5/8=72/56+35/56

Step-by-step explanation:9/7 times 8 by both 9 and 7 and times 7 by both 5   and 8 and you will get your answer

Answer:

[tex]1\frac{51}{56}[/tex]

Step-by-step explanation:

In order to find the answer to this question you will have to find the common denominator, (CD) multiply the denominators by the amount it takes to receive the common deliminator then do the same with the numerators without finding the common numerator, and then add the two numerators together and reduce if needed.

[tex]\frac{9}{7} +\frac{5}{8}[/tex]

Find the common denominator:

[tex]CD=56[/tex]

[tex]9\times 8 =72[/tex]

[tex]7 \times 8 = 56[/tex]

[tex]= \frac{72}{56}[/tex]

Do the same with the second fraction:

[tex]5\times7=35[/tex]

[tex]8\times7=56[/tex]

[tex]=\frac{35}{56}[/tex]

Then you would have:

[tex]\frac{72}{56} +\frac{35}{56}[/tex]  

Add the numerators:

[tex]72+35=107[/tex]

[tex]=\frac{107}{56}[/tex]

Turn the improper fraction into a mixed number:

[tex]\frac{107}{56} = 1\frac{51}{56}[/tex]

You get this by dividing 107 by 56 which should give you 1 with the remainder of 51 and you keep the denominator the same.

[tex]=1\frac{51}{56}[/tex]

Hope this helps.

Answer:

well im not sure but i think u multiply 8 times 10 which is 80 which might be the area hope this helps

Option A:

The shortest distance Mark can cover to reach home early is 54.7 miles.

Solution:

Towards North  = 35 miles

Towards West = 42 miles

Using Pythagoras theorem,

In right triangle, squares of the hypotenuse is equal to the sum of the squares of the other two sides.

Let x be the hypotenuse.

[tex]x^2=35^2+42^2[/tex]

[tex]x^2=1225+1764[/tex]

[tex]x^2=2989[/tex]

Taking square root on both sides, we get

[tex]\sqrt{x^2}=\sqrt {2989}[/tex]

x = 54.67

x = 54.7

The shortest distance Mark can cover to reach home early is 54.7 miles.

Option A is the correct answer.