4 x 10 5+ 3.3 x 10 6

Debora [2.8K]

Hi!

Samuel bought the mixer for $54,205. The value of this (the prive) decreases every year at a costant rate (so, for example, it may decrease of $100 every year).

we are solving for t and we should keep in mind that we multiply the price for the function (1 - rate/100)^time

in f(t) you put the value of year 1 for example

$f(t) = 54205(1- \frac{value1-value2}{value1}) ^t$

Solving for r will bring us to the solution, and we can substitute 1 to t since we are calculating how much it decreases after ONE year.

We would divide for 54205 to cancel out that 54205 multiplicating the parenthesis.

Also, the x is given by the formula (vale2-value1)/value1 to see how much the price changes from year 1 to year 2

We will get $f(t) = 54205(\frac{(47000-41000)}{47000}) ^1$

Again, it would be:

f(t) = 54205(0.13)^1

7 0

4 years ago

Read 2 more answers

Select the correct answer. Which pair of statements correctly compares the two data sets? A. The difference of the means is 1. T

Readme [11.4K]

Answer:

For this case since the p value is higher than the significance level we can FAIL to reject the null hypothesis and we can conclude that the true means are NOT significantly different at 10% of significance.

Step-by-step explanation:

Information provided

represent the mean for sample 1

represent the mean for sample 2

represent the sample standard deviation for 1

represent the sample standard deviation for 2

sample size for the group 2

Significance level provided

t would represent the statistic

Hypothesis to test

We want to verify if the true means for this case are significantly different, the system of hypothesis would be:

Null hypothesis:

Alternative hypothesis:

The statistic is given by:

(1)

And the degrees of freedom are given by

Replacing the info given we got:

The degreess of freedom are given by:

Now we can calculate the p value with the following probability:

For this case since the p value is higher than the significance level we can FAIL to reject the null hypothesis and we can conclude that the true means are NOT significantly different at 10% of significance.

Step-by-step explanation:

8 0

4 years ago

Read 2 more answers

With a principal investment of $19,200, which account will have the greatest value after 5 years? simple interest: I = P • r • t

grin007 [14]

Given:
Principal: 19,200
term: 5 years

a) Interest compounded annually:
A = 19,200 (1 + 0.036)^5
A = 19,200 (1.036)^5
A = 19,200 (1.1934)
A = 22,913.28

b) Simple Interest
I = 19,200 * 0.038 * 5
I = 3,648.38

19,200 + 3,648.38 = 22,848.38

c) Interest compounded annually
A = 19,200 (1 + 0.034)^5
A = 19,200 (1.034)^5
A = 19,200 (1.182)
A = 22,694.40

d) Interest compounded quarterly
A = 19,200 (1 + 0.032/4)^4*5
A = 19,200 (1 + 0.008)^20
A = 19,200 (1.008)^20
A = 19,200 (1.173)
A = 22,521.60

8 0

4 years ago

pavit has a clock with a minute hand that extends to the clock's edge. The minute hand is 5 inches long. What is the circumferen

Eddi Din [679]

Answer:

The circumference of the clock is $10\pi\ in$