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3 years ago

5

Plz help with this question

1 answer:

Dominik [7]3 years ago

5 0

PART A: The initial value of the investment was (A) 1,000. This is because, if t was equal to 0 (0 years into the investment), the values would be 1000*1.

PART B: the 6 in the function represents a 6% increase in value each year. This is also provable as the 6 is in the hundredths place in terms of place value.

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Plz help question below

hammer [34]

Plan B. to me is he obvious answer.

4 0

4 years ago

The radius of the circle is 100 mm what is the diameter

Illusion [34]

Answer:

The answer is B) 200mm. Check the image for the workings

7 0

3 years ago

A basketball player has made 70% of his foul shots during the season. If he shoots 3 foul shots in tonight's game, what is the

yulyashka [42]

Answer:

There is a 34.3% probability that he makes all of the shots.

Step-by-step explanation:

For each foul shot that he takes during the game, there are only two possible outcomes. Either he makes it, or he misses. This means that we use the binomial probability distribution to solve this problem.

Binomial probability distribution

The binomial probability is the probability of exactly x successes on n repeated trials, and X can only have two outcomes.

$P(X = x) = C_{n,x}.p^{x}.(1-p)^{n-x}$

In which $C_{n,x}$ is the number of different combinatios of x objects from a set of n elements, given by the following formula.

$C_{n,x} = \frac{n!}{x!(n-x)!}$

And p is the probability of X happening.

In this problem we have that:

$n = 3, p = 0.7$

What is the probability that he makes all of the shots?

This is P(X = 3).

$P(X = x) = C_{n,x}.p^{x}.(1-p)^{n-x}$

$P(X = 3) = C_{3,3}.(0.7)^{3}.(0.3)^{0} = 0.343$

There is a 34.3% probability that he makes all of the shots.

7 0

4 years ago

The population of a town grows at a rate proportional to the population present at time t. The initial population of 500 increas

Mazyrski [523]

Answer:

The population in 40 years will be 1220.

Step-by-step explanation:

The population of a town grows at a rate proportional to the population present at time t.

This means that:

$P(t) = P(0)e^{rt}$

In which P(t) is the population after t years, P(0) is the initial population and r is the growth rate.

The initial population of 500 increases by 25% in 10 years.

This means that $P(0) = 500, P(10) = 1.25*500 = 625$

We apply this to the equation and find t.

$P(t) = P(0)e^{rt}$

$625 = 500e^{10r}$

$e^{10r} = \frac{625}{500}$

$e^{10r} = 1.25$

Applying ln to both sides

$\ln{e^{10r}} = \ln{1.25}$

$10r = \ln{1.25}$

$r = \frac{\ln{1.25}}{10}$

$r = 0.0223$

So

$P(t) = 500e^{0.0223t}$

What will be the population in 40 years

This is P(40).

$P(t) = 500e^{0.0223t}$

$P(40) = 500e^{0.0223*40} = 1220$

The population in 40 years will be 1220.

7 0

4 years ago

Please give me the ansewer to this question 3/4^3

galben [10]

♡ The Question ♡

-Answer --> 3/4^3

*୨୧ ┈┈┈┈┈┈┈┈┈┈┈┈ ୨୧*

♡ The Answer ♡

Fraction --> 27/64

Decimal --> 0.421875

*୨୧ ┈┈┈┈┈┈┈┈┈┈┈┈ ୨୧*

♡ The Explanation/Step-By-Step ♡

(3/4)^3

Apply Exponent Rule! --> (a/b)^c = a^c/b^c

(3/4)^3 = 3^3/4^3

3^3 = 27

= 27/4^3

4^3 = 64

= 27/64

27/64 = 0.421875

*୨୧ ┈┈┈┈┈┈┈┈┈┈┈┈ ୨୧*

♡ Tips ♡

-No tips provided!

3 0

3 years ago

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