at a concession, stand seven hotdogs and two hamburgers cost $12.75; two hot dogs and seven burgers cost $16.50. find the cost of one hot dog and one burger.

Answers

Answer 1
Answer: The answer is $2.25 for the hamburger and $1.25 for the hot dog. I think my answer is right. hope it helps!!

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Katalin drove 210 miles on her vacation. She drove an average of 1.4 times faster on the second 105 miles of her trip than she did on the first 105 miles of her trip. Which expression represents the time she spent driving? Let x = her speed on the first half of the trip.A. 180x

B. 360 divided by x.

C. 252 divided by x.

D. 180 divided by x.

Answers

The answer is D. 180 divided by x. .


1. Christopher wants to invest $6200 in a retirement fund that guarantees a return of 9% annually using continously compounded intrest. How much will he have after 20 years?a) $6002.82
b) $25164.10
c) $37507.81
d) $556342.35

2. You invest $2,600 into a savings account with a 4.25% annual interest rate that compounds interest quarterly. Determine the balance on the account after 5 years.
a) $3766.54
b) $3211.99
c) $3980.50
d) $4560.60

3. You invest $2,600 into a savings account with a 4.25% annual interest rate that compounds interest quarterly. Determine the balance on the account after 50 years.
a) $21,526.87
b) $22,998.70
c) $20,450.10
d) $24,548.33

4. Stock Texas has a price of $156 per share when Bond Austin has a price of $23 per bond. Use an equation modeling the inverse variation between the stock and bond prices to predit the price of stock Texas when bound austin is worth the following: $68.74
a) $59.33
b) $48.115
c) $57.75
d) $52.20

5. What will be your total investment from an annuity of $500 per year compounded continuously earning 8% for 6 years?

Answers

1. Continuously compounded formula is given by:
A=Pe^rt
Thus given:
P=$6200, r=0.09, t=20 years:
A=6200e^(0.09*20)
A=37,507.81

Answer: c] $37507.81

2. Compound interest formula is given by:
A=p(1+r/100n)^(nt)
where: n=number of terms, p=principle, t=time, r=rate 
Plugging the values in the formula we get:
A=2600(1+4.25/4*100)^(4*5)
simplifying this we get:
A=$3211.99

Answer: b)$3211.99

3. Using the formula from (2) we have:
A=P(1+r/100n)^nt
plugging in the values we get:
A=2600(1+4.25/400)^(50*4)
Simplifying the above we get:
A=$21526.87

Answer:
A] $21,526.87

4. The price of stock when the bond is worth $68.74 will be:
let the bond price be B and Stock price be S
thus
S=k/B
where
k is the constant of proportionality
thus
k=SB
hence
when S=$156 and B=$23
then
K=156*23
K=3588
thus
S=3588/B
hence
the value of S when B=$68.74
thus
S=3588/68.74
B=52.19668~52.20

Answer: d] $52.20

5. Continuously compounded annuity is given by:

FV =CF×[(e^rt-1)/(e^r-1)]
plugging in the values we get:
FV=500×[(e^(6*0.08)-1)/(e^0.06-1)]
simplifying this we get:
FV=$3698.50

Draw quick pictures and write to explain how to break apart addends to find the sum of 324 + 231

Answers

Answer: The explanation of the given addition is mentioned below.  

Step-by-step explanation:

Since Here we have numbers 324 and 231.

So if we want to add these two numbers then at first we should add 4 and 1, That is 4+1= 5, which is the once place digit of our answer.

Now we should add 2 and 3 , that is , 2+3 =5 which is the tense place digit of our answer.

Finally we should add 3 and 2 the result is 3+2= 5 , which is the hundreds place digit of our answer.

Thus the complete result is 555.




PLEASE HELP ME WITH THE PROBLEM ASAP

Answers

To solve the system of equations:

1. Start by setting the two equations equal to each other:

y = 2x - 1

y = 5 - x

2. Since both equations are equal to y, we can set them equal to each other:

2x - 1 = 5 - x

3. Simplify the equation by combining like terms:

2x + x = 5 + 1

3x = 6

4. Divide both sides of the equation by 3 to solve for x:

x = 2

5. Substitute the value of x back into one of the original equations to solve for y. Let's use the first equation:

y = 2(2) - 1

y = 4 - 1

y = 3

Therefore, the solution to the system of equations is x = 2 and y = 3.

Now, let's graph the equation y = 5 - x:

To graph the equation, we can create a table of values by choosing different values for x and calculating the corresponding values of y. Here are some points that lie on the graph:

x | y

-----

0 | 5

1 | 4

2 | 3

3 | 2

4 | 1

Plot these points on a coordinate plane and connect them to form a straight line. The graph of y = 5 - x will have a negative slope of -1 and intersect the y-axis at 5.

I hope this helps! Let me know if you have any further questions.

How many endpoints are needed to draw four line segments

Answers

If these four line segments are connected (kind of like a square) then only 4 endpoints are needed, but if they are all separate line segments, then you would need a maximum of 8 endpoints because any line segment has 2 endpoints and 4 line segments with 2 endpoints a piece equals 8 endpoints in total. 

I hope this helped! :)

Final answer:

To draw four connecting line segments, you need five endpoints. This is because each line segment starts at one point and ends at another, with the end of one segment serving as the start of the next.

Explanation:

In mathematics, a line segment is a piece of a line that has two endpoints. Therefore, to draw one line segment, you need just two endpoints. But drawing four line segments interchangeably (from one endpoint to another) requires five endpoints. Here's why:

  • The first line segment starts at the first point and ends at the second point.
  • The second starts at the second point and ends at the third point.
  • The third starts at the third point and ends at the fourth point.
  • The fourth starts at the fourth point and ends at the fifth point.

So, you need a total of five endpoints to draw four line segments that connect with each other sequentially.

Learn more about Line Segments here:

brainly.com/question/36035958

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Franco bought two shirts at a local store. The regular price for each shirt was r dollars. The store charged Franco the regular price for the first shirt and gave him a 75% discount on the second shirt. He was charged 6% sales tax on the entire purchase. Which of the following expressions gives the total, in dollars, Franco paid, including sales tax? (HOA 01 & HOA 06)

Answers

Answer:

The answer is 1.325 dollars if you need explanation I'll tell u in comments,good luck