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3 years ago

9

Every week i eat 10 waffles and drink 5 cups of milk .Which ratio is equivalent to the waffled.i eat to the milk i drink

2 answers:

Semenov [28]3 years ago

7 0

Answer:

2:1

Step-by-step explanation:

Svetllana [295]3 years ago

7 0

Answer:

2

Step-by-step explanation:

10:5 10/5=2

I hope this helps.!!!!!!

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In how many ways can a committee of four men and four woman be formed from a group of seven men and eleven women?

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Choosing 4 men from seven can be done in 7C4 = 35 ways
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Similarly choosing 4 women from 11 can be done in 11C4 = 330 ways.

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3 years ago

Read 2 more answers

When the effective interest rate is 9% per annum, what is the present value of a series of 50 annual payments that start at $100

ser-zykov [4K]

Answer:

$1,109.62

Step-by-step explanation:

Let's first compute the <em>future value FV.</em>

In order to see the rule of formation, let's see the value (in $) for the first few years

<u>End of year 0</u>

1,000

<u>End of year 1(capital + interest + new deposit)</u>

1,000*(1.09)+10

<u>End of year 2 (capital + interest + new deposit)</u>

(1,000*(1.09)+10)*1.09 +10 =

$\bf 1,000*(1.09)^2+10(1+1.09)$

<u>End of year 3 (capital + interest + new deposit)</u>

$\bf (1,000*(1.09)^2+10(1+1.09))(1.09)+10=\\1,000*(1.09)^3+10(1+1.09+1.09^2)$

and we can see that at the end of year 50, the future value is

$\bf FV=1,000*(1.09)^{50}+10(1+1.09+(1.09)^2+...+(1.09)^{49}$

The sum

$\bf 1+1.09+(1.09)^2+...+(1.09)^{49}$

is the <em>sum of a geometric sequence </em>with common ratio 1.09 and is equal to

$\bf \frac{(1.09)^{50}-1}{1.09-1}=815.08356$

and the future value is then

$\bf FV=1,000*(1.09)^{50}+10*815.08356=82,508.35564$

The <em>present value PV</em> is

$\bf PV=\frac{FV}{(1.09)^{50}}=\frac{82508.35564}{74.35572}=1,109.616829\approx \$1,109.62$

rounded to the nearest hundredth.

5 0

3 years ago