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PilotLPTM [1.2K]
3 years ago
13

Which statement describes the expression of 16 + 1/2 * 8 - 6

Mathematics
1 answer:
HACTEHA [7]3 years ago
4 0
16 added to the product of 1/2 times 8, and then subtracted by 6.

16+4-6=20-6=14
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You plan to accumulate 100,000 at the end of 42 years by making the follow-
Mariana [72]

Answer:

  Y = 479.17

Step-by-step explanation:

At the end of year 14, the balance from the deposits of X can be found using the annuity due formula:

  A = P(1+r/n)((1 +r/n)^(nt) -1)/(r/n)

where P is the periodic payment, n is the number of payments and compoundings per year, t is the number of years, and r is the annual interest rate.

  A = X(1.07)(1.07^14 -1)/0.07 ≈ 24.129022X

This accumulated amount continues to earn interest for the next 28 years, so will further be multiplied by 1.07^28. Then the final balance due to deposits of X will be ...

  Ax = (24.129022X)(1.07^28) = 160.429967X

__

The same annuity due formula can be used for the deposits of Y for the last 10 years of the interval:

  Ay = Y(1.07)(1.07^10 -1)/.07 = 14.783599Y

__

Now we can write the two equations in the two unknowns:

  Ax +Ay = 100,000

  X - Y = 100

From the latter, we have ...

  X = Y +100

So the first equation becomes ...

  160.429967(Y +100) +14.783599Y = 100000

  175.213566Y +16,043.00 = 100,000

  Y = (100,000 -16,043)/175.213566 ≈ 479.17

Y is 479.17

7 0
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What is the value if f(0)?​
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Step-by-step explanation:

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5 0
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A mug is 1/8 full. The mug contains 1/6 of a cup of water. Find the capacity of the mug. Write the answer as a fration or mixed
Andre45 [30]

Answer:

The capacity of the mug = 1\frac{1}{3} cups

Step-by-step explanation:

Given - A mug is 1/8 full. The mug contains 1/6 of a cup of water.

To find - Find the capacity of the mug. Write the answer as a fraction or mixed number

Proof -

Let the capacity of water = x

Given that,

A mug is \frac{1}{8} full of water

⇒Total cups of water in the mug = \frac{1}{8} x

Now,

Given that, The mug contains \frac{1}{6} of a cup of water.

∴ we get

\frac{1}{8} x =  \frac{1}{6}

⇒x = \frac{1}{6} × 8

     = \frac{8}{6}

     = \frac{4}{3} = 1\frac{1}{3}

⇒x = 1\frac{1}{3}

∴ we get

The capacity of the mug = 1\frac{1}{3} cups

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