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seraphim [82]
3 years ago
11

Please help!

Mathematics
1 answer:
lana [24]3 years ago
6 0

Given Information:

Principle amount = P = $6,000

Interest rate = r = 4% = 0.04

Period in years = t = 5

Required Information:

How much interest will he earn in 5 years = ?

Answer:

Amount of interest = $1,299.92

Step-by-step explanation:

Using the formula given in the question,

B = P(1 + r )^{t}

Where B is the final amount, P is the initial amount, r is the interest rate and t is the number of years

B = P(1 + r )^{t}\\\\B = 6,000(1 +  0.04)^{5}\\\\B = 7,299.92

The amount of interest earned is

Amount \:of\: interest = B - P \\\\Amount \:of \:interest = 7,299.92 - 6,000\\\\Amount \:of \:interest = 1,299.92

Therefore, Quincy has earned $1,299.92 in terms of interest by investing  $6,000 in a savings account at the rate of 4% annual interest for a period of 5 years.

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The dimensions of the tank are 50 cm by 32 cm by 20 cm. The tank is full of water and sand. The ratio of the volume of water to
Sauron [17]

Given:

Dimensions of a tank are 50 cm by 32 cm by 20 cm

The tank is full of water and sand

Ratio of volume of water to the volume of sand is 5:1

To find:

Volume of water in the tank in liters

Solution:

Without loss of generality, let,

Length of tank = 50 cm

Breadth of tank = 32 cm

Height of tank = 20 cm

Then, we have,

Total Volume of the tank = Length * Breadth * Height

\Rightarrow Total Volume = 50*32*20 cc

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It is given that,

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Cross multiplying, we have,

Volume of sand = (Volume of water)/5

It is also given that the tank is full of water and sand. This implies that,

Volume of water + Volume of sand = Total Volume

Using the value, we obtained, we get,

Volume of water + (Volume of water)/5 = Total Volume

\Rightarrow (6 * Volume of water)/5 = Total Volume

Plugging in the value of total volume, we get,

\Rightarrow (6 * Volume of water)/5 = 32000 cc

\Rightarrow Volume of water = \frac{32000*5}{6} cc

\Rightarrow Volume of water \approx 26,666.6667 cc

We know that,

1 cc = 0.001 liters

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Thus, Volume of water in the tank is approximately 26.667 liters

Final Answer:

Volume of water in the tank (in liters) is approximately 26.667 liters

4 0
2 years ago
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Answer:

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Step-by-step explanation:

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60-5 = 55

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Answer:

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The answer is the option D  $5,825

3 0
3 years ago
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ira [324]

Answer:

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