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3 years ago

THE NUMBERS OF PI ARE 3.141592653589793238462643383279502884197169399375105820974944592307 AND SO ON

Mathematics

1 answer:

Anastasy [175]3 years ago

3 0

True because pi is a irrational # and never ends

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If an investment of $3000 grows to $4432.37 in eight years with interest compounded annually , what is the interest rate?

melamori03 [73]

$\bf \qquad \textit{Compound Interest Earned Amount}
\\\\
A=P\left(1+\frac{r}{n}\right)^{nt}
\quad 
\begin{cases}
A=\textit{accumulated amount}\to &\$4432.37\\
P=\textit{original amount deposited}\to &\$3000\\
r=rate\to r\%\to \frac{r}{100}\\
n=
\begin{array}{llll}
\textit{times it compounds per year}\\
\textit{annually, thus once}
\end{array}\to &1\\
t=years\to &8
\end{cases}$

$\bf 4432.37=3000\left(1+\frac{r}{1}\right)^{1\cdot 8}\implies \cfrac{4432.37}{3000}=(1+r)^8
\\\\\\
\sqrt[8]{\cfrac{4432.37}{3000}}=1+r\implies \sqrt[8]{\cfrac{4432.37}{3000}}-1=r
\\\\\\
0.0500001086\approx r\qquad\qquad\cfrac{r\%}{100}\approx 0.0500001086
\\\\\\
r\%\approx 100\cdot 0.0500001086\implies r=\stackrel{\%}{5}$

6 0

3 years ago

Explain why the exponents cannot be added in the product 12^3x11^3

frez [133]

Answer:

Step-by-step explanation:

Because 12 and 11 are not the same number it could be added it it were 11^3 and 11^4. But in this case it cannot.

4 0

3 years ago

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What is the average rate of change for ƒ(x) = −2x + 70 over the interval 2 ≤ x ≤ 6?

Anvisha [2.4K]

Answer:

The average rate of change is -2

Step-by-step explanation:

we know that

To find out the average rate of change, we divide the change in the output value by the change in the input value.

In a linear function the average rate of change is a constant and is equal to the slope of the function

The linear function in slope intercept form is equal to

$f(x)=mx+b$

where

m is the slope or unit rate of the linear function

b is the y-intercept or initial value of the linear function

In this problem we have

$f(x)=-2x+70$

$m=-2\\b=70$

therefore

The average rate of change is -2

4 0

3 years ago

What does B.O.D.M.A.S. or B.E.D.M.A.S. mean?

kakasveta [241]

B E D M A S MEANS BRACKETS EXPONENTS DIVISION MULTIPLICATION ADDITION AND SUBTRACTION

8 0

3 years ago

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ASAP! GIVING BRAINLIEST! Please read the question THEN answer correctly! No guessing.

lesya [120]

Answer:

B. False

Step-by-step explanation:

For f(x) to be a function, only one x-value can be assigned to a y-value. The x-values cannot repeat, which in this case, they do (such as 6 and 12), meaning f(x) is not a function.

3 0

3 years ago