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Mathematics

1 answer:

Lapatulllka [165]3 years ago

7 0

Answer:

The Indus river valley.

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Suppose an investment of $5,000 doubles every 12 years. How much is the investment worth after 36 years? After 48 years?

nadezda [96]

This can be done without exponential equations.

It doubles every 12 years so it has doubled in price
5,000 * 2 = 10,000

After 36 years the value has increased 8 times
5,000 * 8 = 40,000

After 48 years the value has increased 16 times
5,000 * 16 = 80,000

8 0

3 years ago

A chemical company makes two brands of antifreeze. The first brand is 65% pure antifreeze, and the second brand is 90% pure anti

Brums [2.3K]

$\bf \begin{array}{lcccl} &\stackrel{solution}{gallons}&\stackrel{\textit{\% of }}{antifreeze}&\stackrel{\textit{gallons of }}{antifreeze}\\ \cline{2-4}&\\ \textit{1st brand}&x&0.65&0.65x\\ \textit{2nd brand}&y&0.90&0.9y\\ \cline{2-4}&\\ mixture&40&0.8&32 \end{array}~\hfill \to \begin{cases} x+y&=40\\ \boxed{x}=40-y\\ \cline{1-2} 0.65x+0.9y&=32 \end{cases} \\\\[-0.35em] ~\dotfill$

$\bf \stackrel{\textit{substituting in the 2nd equation}}{0.65\left( \boxed{40-y} \right)+0.9y=32}\implies 26-0.65y+0.9y=32 \\\\\\ 26+0.25y=32\implies 0.25y=6\implies y=\cfrac{6}{0.25}\implies \blacktriangleright y=24 \blacktriangleleft \\\\[-0.35em] ~\dotfill\\\\ \stackrel{\textit{since we know that}}{x=40-y\implies }x=40-24\implies \blacktriangleright x=16 \blacktriangleleft$

7 0

3 years ago

Read 2 more answers

Please help at least one please number it!!!

Bond [772]

Answer:

34, 50

Step-by-step explanation:

An amount divide by 17: 34÷17=2

25 less than x: 50-25=25

4 0

3 years ago

Read 2 more answers

Evaluate each expression if m = 3 and n = 7. n to the power of 2 - 2m

Murljashka [212]

Answer:

7 to the power of 2 - 2 * 3 is equal to 43

Step-by-step explanation:

3 0

3 years ago

A toy factory makes 5,000 teddy bears per day. The supervisor randomly selects 10 teddy bears from all 5,000 teddy bears and use

tankabanditka [31]

Answer:

Step-by-step explanation:

<em>Degrees of freedom</em> is the number of values in the final calculation of a statistic that are free to vary. Degrees of freedom are related to sample size and calculated by n-1 where n is the <em>sample size</em>.

The Supervisor selects 10 teddy bears as sample from 5000 teddy bears produced daily. Therefore in this situation, there are 10-1=9 degrees of freedom

3 0

3 years ago