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olchik [2.2K]
3 years ago
12

A serving size for pineapple-orange punch is 1/2 cup. Liam needs to make 72 servings of punch. He will use 8 pints of pineapple

juice. The rest is orange juice. How many pints of orange juice does he need to make the punch?
Mathematics
2 answers:
Hunter-Best [27]3 years ago
7 0
Since a serving is 1/2 cup and he needs 72 servings you can multiply 72 by 1/2 and find out that he needs to make 36 cups of punch. Two cups is a pint so he needs (36 / 2) 18 pints of juice. He already has the 8 pints of pineapple juice so 18 - 8 leaves 10 pints of orange juice.
IrinaK [193]3 years ago
7 0

Answer:

Since a serving is 1/2 cup and he needs 72 servings you can multiply 72 by 1/2 and find out that he needs to make 36 cups of punch. Two cups is a pint so he needs (36 / 2) 18 pints of juice. He already has the 8 pints of pineapple juice so 18 - 8 leaves 10 pints of orange juice.

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Find the payment necessary to amortize a 6.3% loan of 7500 compounded semiannually, with 6 semiannual payments. Find the payment
Lorico [155]

Answer:

Semiannual payment = $ 1391.37

Total payment = $ 8348.22

Interest paid =  $ 848.22

Step-by-step explanation:

Since, the semiannual payment formula of a loan,

P=\frac{PV(\frac{r}{2})}{1-(1+\frac{r}{2})^{-n}}

Where,

PV = present value of the loan,

n = number of semiannual payments,

r = annual rate,

Here, PV = 7500, r = 6.3% =0.063, n = 6,

By substituting the value,

The semiannual payment would be,

P=\frac{7500(\frac{0.063}{2})}{1-(1+\frac{0.063}{2})^{-6}}

\approx \$ 1391.37

Also, total payment = semiannual payment × total semiannual periods

= 1391.37 × 6

= $ 8348.22,

Also, the interest paid = total payment - present value

= 8348.22 - 7500

= $ 848.22

6 0
3 years ago
You answered 85% of the questions on the quiz correctly. What fraction of the questions did you answer correctly?
victus00 [196]
A percentage is out of 100.

85/100

in lowest terms this is

17/20
7 0
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Find the value of x in the following figure.<br> (a)<br> 60°<br> (2x + 40°<br> R
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Please help me for the brainliest answer
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Answer:

aₙ= -2n²

Step-by-step explanation:

<h2><u>Solution 1:</u></h2>

The sequence:

  • -2, -8, -18, -32, -50

The difference between the terms:

  • -6, -10, -14, -18
  • a₁= -2
  • a₂= a₁ - 6 = a₁ - 2*3= a₁- 2*(2²-1)
  • a₃= a₂ - 10 = a₁ - 16= a₁ - 2*8= a₁ - 2*(3²-1)
  • a₄= a₃- 14= a₁ - 30= a₁ - 2*15= a₁ - 2*(4² -1)
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  • aₙ= a₁ -2*(n²-1)= -2 -2n² +2= -2n²

As per above, the nth term is: aₙ= -2n²

<h2><u /></h2><h2><u>Solution 2</u></h2>

The sequence:

  • -2, -8, -18, -32, -50
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Solve for x.
inessss [21]

Answer:

3

Step-by-step explanation:


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