All categories

3 years ago

Brad wants to open a new savings account. He finds one that returns 3% on his investment each year.

Mathematics

1 answer:

Rufina [12.5K]3 years ago

5 0

Answer:

final balance: A
initial investment: P
return rate: r

Step-by-step explanation:

The variable assigments can be anything you like. It is often helpful to use variables that will remind you what they stand for. Here, we have chosen A = amount (final balance); P = principal (initial investment); r = rate.

You might be interested in

Write, in slope intercept form, the equation of the line that passes through (8, -9) and has a slope of -5/4.

dezoksy [38]

Answer:

The equation in the slope-intercept form will be:

$y=-\frac{5}{4}x+1$

Step-by-step explanation:

Given

slope = m = -5/4

point = (8, -9)

As we know that the equation of a line in point-slope form is

$y-y_1=m\left(x-x_1\right)$

substituting the values m = -5/4 and point = (8, -9)

$y-\left(-9\right)=\frac{-5}{4}\left(x-8\right)$

$y+9=\frac{-5}{4}\left(x-8\right)$

Writing the equation in slope-intercept form

$y=mx+b$

where m is the slope, and b is the y-intercept

so the equation of the line in slope-intercept form becomes

$y+9=\frac{-5}{4}\left(x-8\right)$

subtract 9 from both sides

$y+9-9=\frac{-5}{4}\left(x-8\right)-9$

$y=-\frac{5}{4}x+1$

Therefore, the equation in the slope-intercept form will be:

$y=-\frac{5}{4}x+1$

7 0

3 years ago

Blood type AB is the rarest blood type, occurring in only 4% of the population in the United States. In Australia, only 1.5% of

Naddik [55]

Answer:

There is a 27.62% probability that exactly 2 of the U.S. residents have blood type AB.

Step-by-step explanation:

For each U.S. resident, there are only two outcomes possible. Either they have blood type AB, or they do not. This means that we can solve this problem using binomial probability distribution concepts.

Binomial probability distribution

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

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

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 $\pi$ is the probability of X happening.

In this problem, we have that:

50 U.S residents are sampled, so $n = 50$

4% of the U.S population has blood type AB, so $p = 0.04$ .

What is the probability that exactly 2 of the U.S. residents have blood type AB?

This is P(X = 2). So:

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

$P(X = 2) = C_{50,2}.(0.04)^{2}.(0.96)^{48} = 0.2762$

There is a 27.62% probability that exactly 2 of the U.S. residents have blood type AB.

5 0

3 years ago

Bruh this kind of math is killing meeee idk if anyone can read that tho

AleksAgata [21]

Answer:

nope i can't im blind

Step-by-step explanation:

8 0

3 years ago

Read 2 more answers

Need help asap plzzzzzzzz

Ket [755]

The volume of the cylinder is C, 753.6 mm³.

To find the volume of the cylinder, in cubic millimeters, we must first convert all of the measurements into millimeters. The only measurement that isn't in millimeters is height, and 1.5 centimeters is equal to 15 millimeters.

Now, we need to find the volume. The volume can be found by doing πr²h. Now we can substitute values and solve.

V = πr²h

V = 3.14(4)²(15)

Simplifying this, we get that V = 753.6, meaning that our answer is C, 753.6 mm³.

5 0

3 years ago

The waiting time in line at an ice cream shop has a uniform distribution between 3 and 14 minutes. What is the 75th percentile o

lesya692 [45]

Answer:

The 75th percentile of this distribution is 11 .25 minutes.

Step-by-step explanation:

The random variable X is defined as the waiting time in line at an ice cream shop.

The random variable X follows a Uniform distribution with parameters a = 3 minutes and b = 14 minutes.

The probability density function of X is:

$f_{X}(x)=\frac{1}{b-a};\ a$

The pth percentile is a data value such that at least p% of the data-set is less than or equal to this data value and at least (100-p)% of the data-set are more than or equal to this data value.

Then the 75th percentile of this distribution is:

$P (X < x) = 0.75$

$\int\limits^{x}_{3} {\frac{1}{14-3}} \, dx=0.75\\\\ \frac{1}{11}\ \cdot\ \int\limits^{x}_{3} {1} \, dx=0.75\\\\\frac{x-3}{11}=0.75\\\\x-3=8.25\\\\x=11.25$

Thus, the 75th percentile of this distribution is 11 .25 minutes.

3 0

3 years ago