MATHEMATICS COLLEGE

purchased a toyota 4Runner for $25,635. promised your daughter the suv will be hers when the car is worth $10,000. according to the car dealer the suv will depreciate approximately $3,000 per year,if your daughter is currently 15 years old, how old will she be when the 4Runner will be hers.

Answers

Answer 1
Answer:

Answer:

  about 20

Step-by-step explanation:

The vehicle must decline in value by $25,635 -10,000 = $15,635. At the rate of $3000 per year, it will take ...

  15,635/3,000 ≈ 5.21167

In 5.2 years, she will be about 20 years old.

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PLSSS HELPPPPP MEEEE III WILLL GIVVVEEE BRAINLIESTTTT!!!!!!

For the function g(x)=5x2+4x−5, find g(−5)

Answers

Answer:

100

Step-by-step explanation:

g(x)=5x^2+4x−5

Let x = -5

g(x)=5 ( -5)^2+4(-5)−5

     = 5*25 - 20 -5

     =125 - 25

    = 100

Please help me im stuck

Answers

Answer:

A. by adding an identical classroom and allowing students t use electric ans in it

Step-by-step explanation:

Because Fans are opposite to natural Air

Approximate: log5 4/7
-2.8760
-0.3477
0.7124
1.3738

Answers

Answer:

-0.34772

Step-by-step explanation:

One way of doing this problem is to change the base from 5 to 10.

Use the change of base formula:

                 log x

log     x = ------------

     5          log 5

so:

                       log (4/7)        log 4 - log 7

log     (4/7)  = --------------- = ---------------------

     5                   log 5               log 5

Note that "log x" above is the common logarithm of x and is to the base 10.

Continuing, we get:

0.60206 - 0.84510         -0.24304

---------------------------- = --------------------- = -0.34772       (This corresponds to

        0.69897                    0.69897                              the second given

                                                                                        answer choice.)

Answer:

b –0.3477

Step-by-step explanation:

What is the value of (-3.2)(- 1.5) ?

Answers

Answer:

4.8

Step-by-step explanation:

When you multiply two negative number you get a positive number.

Find the volume of a right circular cone that has a height of 12.5 m and a base with a radius of 2.2 m. Round your answer to the nearest tenth of a cubic meter.

Answers

Answer:

The volume of the cone is  63.3m³

Step-by-step explanation:

First of all to solve this problem we need to know the formula to calculate the volume of a cone

v = volume

r = radius  = 2.2m

h = height  = 12.5m

π = 3.14

v = 1/3 * π * r² * h

we replace with the known values

v = 1/3 * 3.14 * (2.2m)² * 12.5m

v = 1/3 * 3.14 * 4.84m² * 12.5m

v = 63.32m³

rount to the neares tenth

v = 63.32m³ = 63.3m³

The volume of the cone is  63.3m³

Answer: 63.4

Step-by-step explanation:

You round to the tenths giving you 63.4

According to a recent Catalyst Census, 16% of executive officers were women with companies that have company headquarters in the Midwest. A random sample of 154 executive officers from these companies was selected. What is the probability that more than 20% of this sample is comprised of female employees?

Answers

Using the normal probability distribution and the central limit theorem, it is found that there is a 0.0869 = 8.69% probability that more than 20% of this sample is comprised of female employees.

Normal Probability Distribution

In a normal distribution with mean \mu and standard deviation \sigma, the z-score of a measure X is given by:

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

  • It measures how many standard deviations the measure is from the mean.
  • After finding the z-score, we look at the z-score table and find the p-value associated with this z-score, which is the percentile of X.
  • By the Central Limit Theorem, for a proportion p in a sample of size n, the sampling distribution of sample proportion is approximately normal with mean \mu = p and standard deviation s = \sqrt{(p(1 - p))/(n)}, as long as np \geq 10 and n(1 - p) \geq 10.

In this problem:

  • 16% of executive officers were women with companies that have company headquarters in the Midwest, hence p = 0.16.
  • A random sample of 154 executive officers from these companies was selected, hence n = 154.

The mean and the standard error are given by:

\mu = p = 0.16

s = \sqrt{(p(1 - p))/(n)} = \sqrt{(0.16(0.84))/(154)} = 0.0295

The probability that more than 20% of this sample is comprised of female employees is 1 subtracted by the p-value of Z when X = 0.2, hence:

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

By the Central Limit Theorem

Z = (X - \mu)/(s)

Z = (0.2 - 0.16)/(0.0295)

Z = 1.36

Z = 1.36 has a p-value of 0.9131.

1 - 0.9131 = 0.0869.

0.0869 = 8.69% probability that more than 20% of this sample is comprised of female employees.

To learn more about the normal probability distribution and the central limit theorem, you can take a look at brainly.com/question/24663213

Answer: 0.0885

Step-by-step explanation:

Given : According to a recent Catalyst Census, 16% of executive officers were women with companies that have company headquarters in the Midwest.

i.e. p= 0.16

Sample size : n= 154

Now, the  probability that more than 20% of this sample is comprised of female employees is given by :-

P(p>0.20)=P(z>\frac{0.20-0.16}{\sqrt{(0.16(1-0.16))/(154)}})

[∵ z=\frac{\hat{p}-p}{\sqrt{(p(1-p))/(n)}}]

=P(z>1.35)\approx1-P(z\leq1.35)=1-0.9115=0.0885  [Using the standard z-value table]

Hence, the required probability = 0.0885
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Please help me I’ve been stuck for hours
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