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Alecsey [184]
3 years ago
7

Can someone answer this question please answer it correctly if it’s corect I will mark you brainliest

Mathematics
1 answer:
Ilia_Sergeevich [38]3 years ago
7 0

7) 1/3

The keyword 'and' here implies that we need to multiply. Both events are independent of each other, so we can just multiply the probability of each occurring together.

Probability of rolling a number less than 5: 4/6

Probability of spinning an even number: 3/6

4/6 x 3/6 = 1/3

8) It is likely that a 7th grade student will pick pizza as his/her favorite food.

5/8 is approximately 62.5%. The probability of this event occurring is fairly high, so we would say that this event is likely to happen.

Hope this helps! :)

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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

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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.

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3 years ago
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Answer is d
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3 years ago
Read 2 more answers
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