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Alex73 [517]
3 years ago
13

At a high school football game Jamie buys 6 hot dogs and 4 soft drinks for $13. Amy buys 3 hot dogs and 4 soft drinks for $8.50.

What is the price of a hot dog?
Mathematics
1 answer:
Jet001 [13]3 years ago
7 0

The price of the hot dogs is $1.50 and $1 for soft drinks.

$9(6 hot dogs)+$4(4 soft drinks)=$13

$4.50(3 hot dogs)+$4(4 soft drinks)=$8.50

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3. Suppose your credit card has a balance of $7800 and an annual interest rate of 16%. You decide
Blizzard [7]

Answer:

  • $274.22 per month
  • $2071.92 in total interest
  • $433.48 more per month
  • $1379.52 less in interest

Step-by-step explanation:

a) The amortization formula is used to find the monthly payment (A):

  A = P(r/n)/(1 -(1 +r/n)^(-nt))

for a loan of a principal amount P at annual rate r compounded n times per year for t years.

For a borrowed amount of $7800 at 16% compounded monthly for 3 years, the payment will be ...

  A = $7800(.16/12)/(1 -(1 +.16/12)^(-12·3)) ≈ $274.22

You must pay $274.22 each month to pay off the credit card in 3 years.

__

b) The total amount repaid is 36 times this monthly payment, so is ...

  $274.22 × 36 = $9871.92

The amount by which this exceeds the principal borrowed is ...

  $9871.92 -7800 = $2071.92

You will pay $2071.92 in interest.

__

c) Changing the time period to 1 year gives the payment value ...

  A = $7800(.16/12)/(1 -(1 +.16/12)^(-12·1)) ≈ $707.70

The additional amount you must pay is ...

  $707.70 -274.22 = $433.48

You must pay $433.48 more each month.

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d) Your total interest with the higher payments will be ...

  $707.70×12 -7800 = $692.40

The difference in interest amounts is ...

  $2071.92 -692.40 = $1379.52

You will pay $1379.52 less in total interest.

_____

<em>Caveat</em>

Here, the monthly amounts are rounded and the total repayment amount is based on that rounded value. In an actual payment situation, the final payment will be adjusted by a small amount to account for the fact that the monthly payment shown is not exact. That will affect the total interest and the difference in interest.

8 0
2 years ago
charlie needs to make a total of 60 deliveries this week. so far he has completed 18 of them. what percentage of his total deliv
VladimirAG [237]
18 / 60 = 0.3
Charlie has completed 30% of his deliveries
5 0
3 years ago
A neighborhood development that is 4 acres is to be divided into 2/3 acre lots. How many lots can be created?
Brilliant_brown [7]

Answer:

6

Step-by-step explanation:

4 = 12/3

12/3 divided by 2/3 = 6

2/3

2/3

2/3

2/3

2/3

2/3

+

______

12/3

The answer is 6

7 0
3 years ago
Janelle has 4 hours to spend training for an upcoming race. She completes her training by running full speed the distance of the
natima [27]
If the amount of time taken to go said distance is x and the amount of time taken to go back said distance is y, then the amount of miles total is 7x+3y due to that for every hour, she adds 7 miles when going there and 3 miles for walking back. In addition, since the total amount of time is 4 hours, x+y=4 as the total time spent as well as 7x=3y due to that they're the same distance. 
x+y=4
7x=3y
Dividing the second equation by 7, we get x=3y/7. Plugging that into the first equation, we get 3y/7+y=4=10y/7 (since y=7y/7). Multiplying both sides by 7 and then dividing both by 10, we get 28/10=2.8=y in hours. Since 0.1 hours is 60/10=6 minutes, and 0.8/0.1=8, 6*8=48 minutes=0.8 hours, meaning that she should plan to spend 2 hours and 48 minutes walking back 

8 0
3 years ago
Choose the quadratic equation that has x-intercepts of −1/3 and 5/2
miv72 [106K]
I’m pretty sure it will be the last one f(x)=(3x+1)(2x-5).
3 0
2 years ago
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