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3 years ago

The equation πr²Gives the area,A of a circle with a radius,r,. Solve the function for π

Mathematics

1 answer:

zalisa [80]3 years ago

7 0

$\bf \textit{area of a circle}\\\\ A=\pi r^2\qquad \qquad \implies \qquad \cfrac{A}{r^2}=\pi$

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Determine the time necessary for P dollars to double when it is invested at interest rate r compounded annually, monthly, daily,

kipiarov [429]

9514 1404 393

Answer:

annually: 9.01 years
monthly: 8.69 years
daily: 8.67 years
continuously: 8.66 years

Step-by-step explanation:

For interest compounded in discrete intervals, the formula is ...

A = P(1 +r/n)^(nt)

We want to find t for P=1 and A=2, so we have ...

2 = (1 +r/n)^(nt)

ln(2) = nt·ln(1+r/n)

t = ln(2)/(n·ln(1+r/n))

A table of values for r=0.08 is attached.

For continuous compounding, the formula is ...

A = Pe^(rt)

t = ln(A/P)/r = ln(2)/0.08 ≈ 8.66434 . . . . years

annually: 9.01 years
monthly: 8.69 years
daily: 8.67 years
continuously: 8.66 years

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2 years ago

Consider the sequence 2, 5, 10, 17, ...

melisa1 [442]

A4 means the 4th number
so it is 17

6 0

3 years ago

Read 2 more answers

Maria bought seven boxes. A week later half of all her boxes were destroyed in a fire. There are only 22 boxes left. With how ma

Sloan [31]

Answer:

22*2

=44

Step-by-step explanation:

7 0

3 years ago

82.24 = -8.48 + 4x<br> Need help

Vinvika [58]

Answer:

x = 22.68

Step-by-step explanation:

82.24 = -8.48 + 4x

82.24 + 8.48 = 4x

4x = 90.72

x = 22.68

4 0

3 years ago

Read 2 more answers

If n+h/5=f+9/9, then n/5=

Ann [662]

------------------------------------------------------------------
Question
------------------------------------------------------------------
$\boxed { \frac{n+h}{5} = \frac{f+9}{9}}$

------------------------------------------------------------------
Split the fraction on the left
------------------------------------------------------------------
$\boxed { \frac{n}{5} + \frac{h}{5} = \frac{f + 9}{9}}$

------------------------------------------------------------------
Take away h/5 from both sides
------------------------------------------------------------------
$\boxed { \frac{n}{5} = \frac{f+9}{9} - \frac{h}{5}}$

------------------------------------------------------------------
Change the denominator to be the same
------------------------------------------------------------------
$\boxed { \frac{n}{5} = \frac{5f+45}{45} - \frac{9h}{45}}$

------------------------------------------------------------------
Put it into single fraction
------------------------------------------------------------------
$\boxed { \frac{n}{5} = \frac{5f+45-9h}{45} }$

-------------------------------------------------------------------
Rearrange (This step may not be necessary)
------------------------------------------------------------------
$\boxed {\frac{n}{5} = \frac{5f-9h+ 45}{45} }$

$\bf \Longrightarrow \ Answer \ : \boxed {\boxed {\frac{n}{5} = \frac{5f-9h+ 45}{45} }}$

6 0

3 years ago