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Black_prince [1.1K]
3 years ago
13

When making a guess and retesting this information, a theory or ___________ may be formed which explains why something has occur

red or what it may look like?
Mathematics
1 answer:
podryga [215]3 years ago
3 0
Model <span>

When making a guess and retesting this information, a theory or <u>model</u> may be formed which explains why something has occurred or what it may look like. Models are a representation of a certain situations that has occurred. These models can provide and amplify a clearer perception and comprehension of how and what processes are involved in an occurred phenomenon. And by that said, it can change and be modified depending on which factor catalyzed the alterations. </span>  



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The amount invested at 9% is $93000

The amount invested at 10% is $303000

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Let the amount invested at 9% interest rate be x

And the amount invested at 10% rate be y

Simple Interest from x in a year = 0.09x

Simple Interest from y in a year = 0.1y

But y = 24000 + 3x

And the sun of the interests, 0.09x + 0.1y = 38670

Now we have a simultaneous eqn

y = 24000 + 3x (eqn 1)

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Substitute y into eqn 2

0.09x + 0.1(24000 + 3x) = 38670

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\bf ~~~~~~ \textit{Continuously Compounding Interest Earned Amount} \\\\ A=Pe^{rt}\qquad \begin{cases} A=\textit{accumulated amount}\\ P=\textit{original amount deposited}\dotfill & \$3700\\ r=rate\to 4.5\%\to \frac{4.5}{100}\dotfill &0.045\\ t=years\dotfill &7 \end{cases} \\\\\\ A=3700e^{0.045\cdot 7}\implies A=3700e^{0.315}\implies A\approx 5069.96

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