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Doss [256]
2 years ago
9

A store sells a 33-pound bag of oranges for \$ 3.60$3.60 and a 55-pound bag of oranges for \$ 5.25$5.25. What is the difference

between the price per pound for the 33-pound bag of oranges and the price per pound for the 55-pound bag of oranges? ​
Mathematics
1 answer:
katrin [286]2 years ago
3 0

Answer:

0.01364

Step-by-step explanation:

It is given that,

A store sells a 33-pound bag of oranges for $3.60 and a 55-pound bag of oranges for $5.25.

Price per pound of 33 pound bag is 3.60/33 = 0.10909 price per pound

Price per pound of 55 pound bag of oranges is 5.25/55 = 0.09545 price per pound

Difference between price per pound for the 33-pound bag of oranges and the price per pound for the 55-pound bag of oranges is :

D = 0.10909 - 0.09545

D = 0.01364

Therefore, this is the required solution.

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Find the accumulated value of an investment of $20,000 for 7 years at an interest rate of 5.5% if the money is:
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Answer:

  • See below

Step-by-step explanation:

<u>Given:</u>

  • Investment P = $20000
  • Time t = 7 years
  • Interest rate r = 5.5% = 0.055

a. <u>compounded semiannually, n = 2</u>

  • A = P*(1 + r/n)^{nt} = 20000(1+0.055/2)^{2*7} = 29239.88

b. <u>compounded quarterly, n = 4</u>

  • A = P*(1 + r/n)^{nt} = 20000(1+0.055/4)^{4*7} =  29315.30

c. <u>compounded monthly, n = 12</u>

  • A = P*(1 + r/n)^{nt} = 20000(1+0.055/12)^{12*7} =  29366.44

d. <u>compounded continuously</u>

  • A = Pe^{rt}=20000*e^{0.055*7}=29392.29
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4 tomatoes and 8 avocados cost $10. Six tomatoes and 14 avocados cost $17. How much does a single avocado and a single tomato co
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Answer:

One avocado costs $1 and one tomato costs $0.50

Step-by-step explanation:

Set up a system of equations where t is the number of tomatoes and a is the number of avocados:

4t + 8a = 10

6t + 14a = 17

Solve by elimination by multiplying the top equation by 3 and the bottom equation by -2:

12t + 24a = 30

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Add them together and solve for a:

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Plug in 1 as a into one of the equations and solve for t:

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4t + 8(1) = 10

4t + 8 = 10

4t = 2

t = 0.5

So, one avocado costs $1 and one tomato costs $0.50

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Here is the Explanation

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