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3 years ago

Can I please have help with numbers 28 and 30 and can you check if I got number 29 correct? THANK YOU

Mathematics

1 answer:

sweet [91]3 years ago

6 0

28 is B
30 is C and
29 is correct as it is!
Hope this helps.

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The formula for the future value V (in dollars) of an investment earning simple interest is V=p+prt, where p (in dollars) is the

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Answer:

A. $p=\dfrac{V}{1+rt}$

B. $2,307.69

Step-by-step explanation:

You are given the formula

$V=p+prt,$

where V = investment earning simple interest

p = principal,

r = interest rate

t = time

So,

A. $V=p(1+rt)\\ \\p=\dfrac{V}{1+rt}$

B. r = 0.06 (or 6% as percent)

V = $3,000

t =5

so,

$3,000=p+p\cdot 0.06\cdot 5\\ \\3,000=p+0.3p\\ \\1.3p=3,000\\ \\p=\dfrac{3,000}{1.3}\approx 2,307.69$

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3 years ago

the area of a square whose sides have length x cm is increasing at the rate of 12cm²/s. how fast is the length of a side increas

katovenus [111]

Answer:

0.67 cm/s

Step-by-step explanation:

The area of a square is given by :

$A=x^2$ ....(1)

Where

x is the side of a square

$\dfrac{dA}{dt}=12\ cm^2/s$

Differentiating equation (1) wrt t.

$\dfrac{dA}{dt}=2x\times \dfrac{dx}{dt}$

When A = 81cm², the side of the square, x = 9 cm

Put all the values,

$12=2\times 9\times \dfrac{dx}{dt}\\\\\dfrac{dx}{dt}=\dfrac{2}{3}\\\\\dfrac{dx}{dt}=0.67\ cm/s$

So, the length of the side of a square is changing at the rate of 0.67 cm/s.

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The probability of winning a certain lottery is 1/77076 for people who play 908 times find the mean number of wins

Alex73 [517]

The mean is 0.0118 approximately. So option C is correct

<h3><u>Solution:</u></h3>

Given that , The probability of winning a certain lottery is $\frac{1}{77076}$ for people who play 908 times

We have to find the mean number of wins

$\text { The probability of winning a lottery }=\frac{1}{77076}$

Assume that a procedure yields a binomial distribution with a trial repeated n times.

Use the binomial probability formula to find the probability of x successes given the probability p of success on a single trial.

$n=908, \text { probability } \mathrm{p}=\frac{1}{77076}$

$\text { Then, binomial mean }=n \times p$

$\begin{array}{l}{\mu=908 \times \frac{1}{77076}} \\\\ {\mu=\frac{908}{77076}} \\\\ {\mu=0.01178}\end{array}$

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