The circumference of the circle is 62.8cm what is the diameter use 3.14

Mathematics

1 answer:

Svetllana [295]3 years ago

4 0

Answer:

Step-by-step explanation:

Divide 62.8 by 3.14

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postnew [5]

Answer:

Step-by-step explanation:

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6 0

3 years ago

____ is the amount of a $3,000.00 annuity due at 12 percent compounded semiannually for 3 years

ANEK [815]

The formula of the present value of annuity due:
$PV=C*[\frac{1-(1+i)^{-n}}{i}]*(1+i)$

For your case:
C = $3000
i = 12% / 100 = 0.12
n = 3 * 2 = 6 (semiannually for 3 years means 6 payments)

So, the solution is:
$PV=3000*[\frac{1-(1+0.12)^{-6}}{0.12}]*(1+0.12)=3000*[\frac{1-0.5066}{0.12}]*1.12=$
$=3000*[\frac{1-0.5066}{0.12}]*1.12=3000*4.1114*1.12=13814.32$

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3 years ago

Imagine a pond. In it sits one lilypad, which reproduces once a day. Each of its offspring also reproduces once a day, doubling

sergeinik [125]

Answer: On the 29th day

Step-by-step explanation:

According to this problem, no lilypad dies and the lilypads always reproduce, so we can apply the following reasoning.

On the first day there is only 1 lilypad in the pond. On the second day, the lilypad from the first reproduces, so there are 2 lilypads. On day 3, the 2 lilypads from the second day reproduce, so there are 2×2=4 lilypads. Similarly, on day 4 there are 8 lilypads. Following this pattern, on day 30 there are 2×N lilypads, where N is the number of lilypads on day 29.

The pond is full on the 30th day, when there are 2×N lilypads, so it is half-full when it has N lilypads, that is, on the 29th day. Actually, there are $2^{30}$ lilypads on the 30th, and $2^{29}$ lilypads on the 29th. This can be deduced multiplying succesively by 2.