You want to purchase a new car in 3 years and you anticipate the cost of the car to be $25,000. You are given an investment plan with a fixed APR of 5.3% if you make regular monthly deposits. How much should you deposit at the end of each month to reach your goal of $25,000 in 3 years?

a.$642.23

c.$648.62

b.$645.65

d.$649.13

Answers

Answer 1
Answer:

Answer:

The answer is A: $642.23

Step-by-step explanation:

I just took the test lol


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Nine less than the quotient of
twice a number and four.

Answers

The required expression for Nine less than the quotient of twice a number and four gives the equation, y =2x/4 - 9.

An expression Nine less than the quotient of twice a number and four. is to be determined.

What is simplification?

The process in mathematics to operate and interpret the function to make the function simple or more understandableis called simplify and the process is called simplification.

The quotient is the result when one value gets divided by some other value.

Using simple arithmetic,
Let the number be x,
A number y is equal to nine less than the quotient of twice of x and four. So,
y = quotient of 2x and four - 9
y = 2x/4 - 9

Thus, the required expression for Nine less than the quotient of twice a number and four gives the equation, y =2x/4 - 9.


Learn more about simplification here: brainly.com/question/12501526

#SPJ5

Answer:

-1

Step-by-step explanation:

Twice a number of 4 equals 8

4×2=8

less than 9 of the quotient (answer) of twice a number of 4, is -1

8-9= -1

In a video game, the chance of rain each day is always 30%. At the beginning of each day in the video game, the computer generates a random integer between 1 and 50. Explain how you could use the number to simulate the weather in the video game

Answers

Answer:

  If the integer is in the range 1–15, then the weather could be declared rainy

Step-by-step explanation:

Assuming the integers are uniformly distributed 15 of them will constitute 30% of the possible integer. If the integer is in the range 1–15, then the weather could be declared rainy. That would make the probability of rain 30%, as required.

The bar diagram represents the ratio of points scored by the home team and the visiting team in a basket ball game. How many points did the visiting team score if the home team scored 84 points?

Answers

Answer:

60 points.

Step-by-step explanation:

Bar diagram which represents the ratio of the points earned by the home team and visitor's team.

Fro the bar diagram,

Ratio of the points earned = \frac{\text{Points earned by the home team}}{\text{Points earned by visitor's team}}

                                            = (7)/(5)

If the points earned by the home team = 84

\frac{\text{Points earned by the home team}}{\text{Points earned by visitor's team}} = (7)/(5)

\frac{84}{\text{Points earned by visitor's team}} = (7)/(5)

Points earned by the visitor's team = (84* 5)/(7)

                                                          = 60

Therefore, 60 points were earned by the visitor's team.

Is 9/12 greater or less than 1/3

Answers

Method
To find out the answer to this, you could do it one of 2 ways.
1. You could change both to a decimal and subtract them or
2. You could treat them as fractions and subtract one from the other.

Argument.
Method One
9/12 = 3/4 = 0.75         You could let your calculator do that
1/3 = 0.3333333

0.75 - 0.3333333 = 0.4166667
9/12 is bigger because you get a positive answer.

Method 2
Or you could stick with the fractions
9/12 - 1/3 
You need to put the 1/3 into a fraction over 12
(1)/(3) * (4)/(4) = (4)/(12)

9/12 - 4/12 = 5/12. 
9/12 is still bigger because you get a positive result.

Comment
Either way can be done on a calculator, but both indicate that 9/12 > 1/3
9/12 is greater than 1/3

Tanya enters a raffle at the local fair, and is wondering what her chances of winning are. If her probability of winning can be modeled by a beta distribution with α = 5 and β = 2, what is the probability that she has at most a 10% chance of winning?

Answers

Answer:

P(X<0.1)= 5.5x10^(-5)

Step-by-step explanation:

Previous concepts

Beta distribution is defined as "a continuous density function defined on the interval [0, 1] and present two parameters positive, denoted by α and β, both parameters control the shape. "

The probability function for the beta distribution is given by:

P(X)= (x^(\alpha-1) (1-x)^(\beta -1))/(B(\alpha,\beta))

Where B represent the beta function defined as:

B(\alpha,\beta)= (\Gamma(\alpha)\Gamma(\beta))/(\Gamma(\alpha+\beta))

Solution to the problem

For our case our random variable is given by:

X \sim \beta (\alpha=5, \beta =2)

We can use the following R code to plot the distribution for this case:

> x=seq(0,1,0.01)

> plot(x,dbeta(x,5,2),main = "Beta distribution a=5, b=2",ylab = "Probability")

And we got as the result the figure attached.

And for this case we want this probability, since we want the probability that she has at most 10% or 0.1 change of winning:

P(X<0.1)

And we can find this probability with the following R code:

> pbeta(0.1,5,2)

[1] 5.5e-05

And we got then this : P(X<0.1)= 5.5x10^(-5)

An aptitude test has a mean score of 80 and a standard deviation of 5. The population of scores is normally distributed. What raw score corresponds to the 70th percentile?

Answers

Answer:

82.62

Step-by-step explanation:

Mean score (μ) = 80

Standard deviation (σ) = 5

The 70th percentile of a normal distribution has an equivalent z-score of roughly 0.525.

For any given score, X, the z-score can be determined by:

z=(X-\mu)/(\sigma)

For z = 0.525:

0.525=(X-80)/(5)\n X=82.62

A raw score of approximately 82.62 corresponds to the 70th percentile.

Answer: the raw score that corresponds to the 70th percentile is 82.625

Step-by-step explanation:

Since the population of scores in the aptitude test is normally distributed., we would apply the formula for normal distribution which is expressed as

z = (x - µ)/σ

Where

x = aptitude test scores.

µ = mean score

σ = standard deviation

From the information given,

µ = 80

σ = 5

We want to find the raw score that corresponds to the 70th percentile.

70th percentile = 70/100 = 0.7

Looking at the normal distribution table, the z score corresponding to 0.7 is 0.525.

Therefore,

0.525 = (x - 80)/5

5 × 0.525 = x - 80

2.625 = x - 80

x = 2.625 + 80

x = 82.625