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Alexus [3.1K]
3 years ago
12

Allison earns a $40,000 base salary plus a commission equal to 15% of her total sales. If she sold $200,000 worth of goods, what

was her total salary?
Mathematics
1 answer:
marta [7]3 years ago
3 0

Answer:

The total salary of her is $1066666.66.

Step-by-step explanation:

Given : Allison earns a $40,000 base salary plus a commission equal to 15% of her total sales. If she sold $200,000 worth of goods.

To find : What was her total salary?

Solution :

Let x be the total salary.

Allison earns a $40,000 base salary.

If she sold $200,000 worth of goods.

i.e. the amount is $200,000-$40,000=$160,000

The total salary is given by,

$160,000=15% of x

0.15\times x=160000

x=\frac{160000}{0.15}

x=1066666.66

The total salary of her is $1066666.66.

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A data set is normally distributed with a mean of 115 and a standard deviation of 23. What is the probability that a value in th
Alecsey [184]

Answer:

The probability that a value in the data set is greater than or equal to 162

P(X≥162) = 0.0207

<u>Step-by-step explanation:</u>

<u>Step(i)</u>:-

Given mean of the Population = 115

Given standard deviation of the Population = 23

Let 'x' be the random variable of normal distribution

Let x = 162

Z = \frac{x-mean}{S.D} = \frac{162-115}{23}

z = 2.043

<u><em>Step(ii)</em></u>:-

<em>The probability that a value in the data set is greater than or equal to 162</em>

<em>P(X>x) = P(Z>z) = P(Z> 2.043)</em>

P(X≥162) = P(Z≥2.043) = 1-P(Z≤ 2.043)

                                      =  1- ( 0.5 +A(2.043)

                                      =   1-0.5 -A(2.043)

                                      =    0.5 - 0.4793

                                      =  0.0207

<u><em>Final answer</em></u>:-

<em>The probability that a value in the data set is greater than or equal to 162</em>

<em>P(X≥162) = 0.0207</em>

<em></em>

8 0
4 years ago
The Marauders foosball team is improving with each game. The first game they scored no points, but the second game they scored s
lawyer [7]

Answer:

25 points.

Step-by-step explanation:

In the second game, you can say the Foosball team scored x points.

In their third game, they would have scored x points, plus 8.

In the last game, they would have scored x points, plus 8, then multiply the WHOLE THING by 3.

We would get the following equation...

x + (x + 8) + 3(x + 8) = 117

x + x + 3x + 8 + 24 = 117

5x + 32 = 117

5x = 85

x = 17

So, the Marauders scored 0 points in the first game. In the second game, they scored 17 points. In the third, they scored 17 + 8 = 25 points. In the last, they scored 25 * 3 = 75 points. Altogether, that's 117 points!!

Hope this helps!

4 0
4 years ago
7. Classical linear model assumptions for time series Consider the following stochastic process {(x1, x2, x3, . . . , xk, yt): t
iogann1982 [59]

Answer:

Options are missing.

The options for the above question are:

TS.1: Linear in parameters.

TS.2:No perfect collinearity

TS.3: Zero conditional mean.

TS.4: Homoskedasticity.

TS.5: No serial correlation

TS.6: Normality.

Hence the correct answer is TS1 to TS 5

Step-by-step explanation:

Assumptions TS 1 to TS 5 are the minimum set of assumptions needed to for the OLS estimates to be the best linear unbiased estimators conditional on explanatory variables for all time periods.

The assumptions of Normality is not needed for the estimators to show the BLUE property

3 0
3 years ago
Which cereal box deal has the best price per ounce?
DaniilM [7]

Answer:

$9.14 for 39 oz

Step-by-step explanation:

6.12/24 = 0.255 = 0.26

3.56/14 = 0.254 = 0.25

9.14/39 = 0.234 = 0.24

4.98/18 = 0.276 = 0.28

So,

$9.14 for 39 oz is the best price per ounce

3 0
3 years ago
Read 2 more answers
A Cepheid variable star is a star whose brightness alternately increases and decreases. Suppose that Cephei Joe is a star for wh
4vir4ik [10]

Answer:

\dfrac{0.7\pi}{5.3}\cos(\dfrac{2\pi t}{5.3})

0.16

Step-by-step explanation:

According to the question the mathematical model should be

B(t)=2.9+0.35\sin(\dfrac{2\pi t}{5.3})

Differentiating with respect to time we get

B'(t)=0.35\cos(\dfrac{2\pi t}{5.3})\times(\dfrac{2\pi}{5.3})\\\Rightarrow B'(t)=\dfrac{0.7\pi}{5.3}\cos(\dfrac{2\pi t}{5.3})

So, the rate of change of brightness after t days is \dfrac{0.7\pi}{5.3}\cos(\dfrac{2\pi t}{5.3})

After 1 day means t=1

B'(1)=\dfrac{0.7\pi}{5.3}\cos(\dfrac{2\pi\times 1}{5.3})\\\Rightarrow B'(1)=0.16

The rate of increase after one day is 0.16.

8 0
3 years ago
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