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3 years ago

An equilateral triangle has perimeter P. The length of one side is P/3. Which expression is equivalent to the length on one side

Mathematics

1 answer:

irina1246 [14]3 years ago

3 0

Answer: $3\times \dfrac{P}{3}=P$

Step-by-step explanation:

Given

The perimeter of one equilateral triangle is P

The lengths of the equilateral triangle are equal

Suppose x is the length of each side

$\therefore 3\times x=P\\\\\Rightarrow x=\dfrac{P}{3}$

i.e.

$\Rightarrow 3\times \dfrac{P}{3}=P$

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Answer:

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Answer:

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Step-by-step explanation:

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we know that

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where

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in this problem we have

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Part B) What if the deposit were compounded monthly with simple interest?

we know that

The simple interest formula is equal to

$A=P(1+rt)$

where

A is the Final Investment Value

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r is the rate of interest

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in this problem we have

$t=20\ years\\ P=\$8,500\\r=0.0812$

substitute in the formula above

$A=8,500(1+0.0812*20)$

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Part C) Could you see the situation in a graph? From what point one is better than the other?

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$A(t)=8,500(1.0068)^{12t}$ ------> equation A

$A(t)=8,500(1+0.0812t)$ -----> equation B

using a graphing tool

see the attached figure

Observing the graph, from the second year approximately the monthly compound interest is better than the simple interest.

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Answer:

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Step-by-step explanation:

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