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kykrilka [37]
4 years ago
5

a small bar of gold is a rectangular prism that measures 40 millimeters by 25 millimeters by 2 millimeters. one cubic millimeter

of gold weighs about 0.0005 ounce. Find the volume in cubic millimeters and the weight in ounces of this small bar of gold.
Mathematics
1 answer:
guajiro [1.7K]4 years ago
9 0
Step One 
Find the Volume in ccs.

V= l*w*h
l =40 mm
w = 25 mm
h = 2 mm
V = 40*35 * 2
V = 2800 mm^3

Step Two
Find the weight
1  mm^3 = 0.0005
2800 mm^3 = x   <<<<< answer 1

\frac{1}{2800} =  \frac{0.0005}{x}   Cross multiply.

1x = 2800 * 0.0005
x = 1.4 ounces.  <<<<< answer 2


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castortr0y [4]
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What is the balance after 15 years in a savings account that earns 2% interest compounded bimonthly when the initial deposit is
Ierofanga [76]

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Step-by-step explanation:

Hello!

<h3>Compound Interest Formula: A = P(1 + \frac rn)^{nt}</h3>
  • A = Account Balance
  • P = Principle/Initial Amount
  • r = Rate of Interest (decimal)
  • n = Number of times compounded (per year)
  • t = Number of Years

<h3>Given Information</h3>
  • Account Balance = ?
  • Principle Amount = $1000
  • Rate of Interest = 0.02

Why is the Rate 0.02?

This is because we are gaining money, so the multiplier should be greater than 1. We already added 1, which is 100% so you simply add the 0.02 for the extra 2%.

  • Number of times compounded per year = 6

This is because it is being compounded bi-monthly, or once every 2 months. 12 months divided by 2 months is 6 months, so 6 times a year.

  • Number of years = 15

<h2>Solve </h2>

Solve by plugging in the given values into the formula.

  • A = P(1 + \frac rn)^{nt}
  • A = 1000(1 + \frac {0.02}{6})^{6*15}
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  • A = 1000(1.00333...)^{90}
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This is really close to the first option, and since there is rounding involved with the repeating decimal, the first option should be correct.

The answer is $1348.07.

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2 years ago
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