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aleksandrvk [35]
3 years ago
13

The table shows the balance of a money market account over time. Write a function that represents the balance y (in dollars) aft

er t years.

Mathematics
1 answer:
dexar [7]3 years ago
7 0

9514 1404 393

Answer:

  y = 2200(1.08^t)

Step-by-step explanation:

The interest earned the first year is ...

  (2376 -2200)/2200 = 0.08 = 8%

The balances the remaining years are consistent with that interest being compounded annually. An appropriate function is ...

  y = 2200(1.08^t)

_____

The compound interest formula is ...

  A = P(1 +r/n)^(nt) . . . . principal P earning rate r compounded n times per year for t years

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Given that a <span>store is selling two mixtures of nuts in 20-ounce bags: peanuts and cashews.

Let the cost of one ounce of peanut be x and the cost of one ounce of cashew be y, then

Given that </span>t<span>he first mixture has 15 ounces of peanuts combined with five ounces of cashews, and costs $4.25 implies that 15x + 5y = 4.25

Also, given that </span>t<span>he second mixture has five ounces of peanuts and 15 ounces of cashews, and costs $6.75 mplies that 5x + 15y = 6.75

To obtain the cost of </span><span>one ounce of peanuts and one ounce of cashews, we solve the two equations above, simultaneously:
15x + 5y = 4.25 - - - (1) \\ 5x + 15y = 6.75 - - - (2) \\  \\ (1)\times3\Rightarrow45x+15y=12.75 - - - (3) \\  \\ (2)-(3)\Rightarrow-40x=-6 \\  \\ \bold{x= \frac{-6}{-40} =0.15} \\  \\ From\ (1):15(0.15)+5y=4.25 \\  \\ 5y=4.25-2.25=2 \\  \\ \bold{y= \frac{2}{5} =0.4}

Therefore, </span><span>one ounce of peanuts and one ounce of cashews cost $0.15 and $0.40 respectively.</span>
4 0
3 years ago
Use the number line to show and explain why 4/10 ÷ 2 and 4/10 × 1/2 both equal 2/10
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Step-by-step explanation:

When you divide by a number, you basically are multiplying by the reciprocal

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Using a number line,

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Simplify
y + 5 = -7
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Subtract 5 from each side
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