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2 years ago

11

Jordan is a salesperson at the store. Jordan has a base monthly salary of $1,450 and also earns a commission of 5% on his monthl

y sales. Jordan would like to earn a monthly salary of $1,800 in July. What amount of sales, in dollars, does Jordan need in order to reach the desired salary goal in July

2 answers:

qaws [65]2 years ago

8 0

Answer:

$7,000

Step-by-step explanation:

1800 = 1450 + 0.05X

0.05X = 350

X = 7000

Neko [114]2 years ago

4 0

Answer:

7,000

Step-by-step explanation:

because 1450 x 5 is 7250

5 percent of 7250 is 7000

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The annual energy consumption of the town where Camilla lives increases at a rate that is proportional at any time to the energy

vesna_86 [32]

Answer:

The town's annual energy consumption will be of 6.57 trillons of BTU after 9 years.

Step-by-step explanation:

The annual energy consumption of the town where Camilla lives increases at a rate that is proportional at any time to the energy consumption at that time.

This means that the consumption after t years is given by the following differential equation:

$\frac{dC}{dt} = kC$

In which k is the growth rate.

The solution is, applying separation of variables:

$C(t) = C(0)e^{kt}$

In which C(0) is the initial consumption.

The town consumed 4.4 trillion British thermal units (BTUs) initially.

This means that $C(0) = 4.4$

So

$C(t) = C(0)e^{kt}$

$C(t) = 4.4e^{kt}$

5.5 trillion BTUs annually after 5 years.

This means that $C(5) = 5.5$ . We use this to find k. So

$C(t) = 4.4e^{kt}$

$5.5 = 4.4e^{5k}$

$e^{5k} = \frac{5.5}{4.4}$

$e^{5k} = 1.25$

$\ln{e^{5k}} = \ln{1.25}$

$5k = \ln{1.25}$

$k = \frac{\ln{1.25}}{5}$

$k = 0.0446$

So

$C(t) = 4.4e^{0.0446t}$

After 9 years?

This is C(9). So

$C(9) = 4.4e^{0.0446*9} = 6.57$

The town's annual energy consumption will be of 6.57 trillons of BTU after 9 years.

6 0

2 years ago

50 points decreased by 26% is how many points?

vampirchik [111]

The first one is 13 points and the 2nd one is 8. I'm pretty sure, hope this helps! :)

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2 years ago

At a recent county fair, you observed that at one stand people's weight was forecasted, and were surprised by the accuracy (with

MatroZZZ [7]

Answer:

a)Slope: $\hat \beta_1 =\frac{7625.9}{1248.9}=6.106$

Intercept: $\hat \beta_o = 157.955 -6.106 (69.686)=-267.548$

b) $r=\frac{7625.9}{\sqrt{[1248.9][94228.8]}}=0.657$

And the determination coeffecient is $r^2 = 0.657^2 =0.432$

Step-by-step explanation:

Data given and definitions

The correlation coefficient is a "statistical measure that calculates the strength of the relationship between the relative movements of two variables". It's denoted by r and its always between -1 and 1.

The sum of squares "is the sum of the square of variation, where variation is defined as the spread between each individual value and the grand mean"

When we conduct a multiple regression we want to know about the relationship between several independent or predictor variables and a dependent or criterion variable.

n=110, $\sum x_i y_i = \sum (X-\bar X)(Y-\bar Y) =7625.9,\sum x^2_i=\sum (x-\bar x)^2 =1248.9 , sum y^2_i=\sum(y-\bar y)^2 =94228.8$

$\sum Y_i =17375 , \sum X_i = 7665.5$

Part a

The slope is given by this formula:

$\hat \beta_1 =\frac{\sum (x-\bar x) (y-\bar y)}{\sum (x-\bar x )^2}$

If we replace we got:

$\hat \beta_1 =\frac{7625.9}{1248.9}=6.106$

We can find the intercept with the following formula

$\hat \beta_o = \bar y -\hat \beta_1 \bar x$

We can find the average for x and y like this:

$\bar X=7665.5/110 =69.686, \bar y= 17375/110=157.955$

And replacing we got:

$\hat \beta_o = 157.955 -6.106 (69.686)=-267.548$

Part b

In order to calculate the correlation coefficient we can use this formula:

$r=\frac{\sum (x-\bar x)(y-\bar y) }{\sqrt{[\sum (x-\bar x)^2][\sum(y-\bar y)^2]}}$

For our case we have this:

n=110, $\sum x_i y_i = \sum (X-\bar X)(Y-\bar Y) =7625.9,\sum x^2_i=\sum (x-\bar x)^2 =1248.9 , sum y^2_i=\sum(y-\bar y)^2 =94228.8$

So we can find the correlation coefficient replacing like this:

$r=\frac{7625.9}{\sqrt{[1248.9][94228.8]}}=0.657$

And the determination coeffecient is $r^2 = 0.657^2 =0.432$

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2 years ago

Cone A has a diameter of 10 meters and a slant height of 8 meters. The linear dimensions of cone B are 6 times the linear dimens

riadik2000 [5.3K]

Answer:

o calculate the volume of a cone, start by finding the cone's radius, which is equal to half of its diameter. Next, plug the radius into the formula A = πr^2, where A is the area and r is the radius. Once you have the area, multiply it by the height of the cone.Step-by-step explanation:

their you go your answer plz rate me the most brainlest

6 0

2 years ago

Mrs. Garcia borrowed some money at the rate of 4% per annum for the first year, at the rate of 6% pe r annum for the next 2 year

s2008m [1.1K]

Answer: ₱40,909.1

Step-by-step explanation:

Given data:

Rate for first year = 4%

Rate for next two years = 6%

Rate for the next 3 years = 7.5%

Interest paid back after 5years = ₱ 15,750

Solution:

How much did she borrow.

= let the sum borrowed be P

= P * 4 / 100

= 4P/100

= 1P/25.

For the next two years

= P* 6 * 2/100

= 12P/100

= 3P/25

For the next 3years

= P* 7.5*3/100

= 22.5P/100

= 9P/40.

1P/25 + 3P/25 + 9P/40 = 15750

77P/200 = 15750

P = 15750 * 200 / 77

P = 315,0000/77

P = ₱40,909.1

The amount borrowed is ₱40,909.1

5 0

2 years ago