Your salary is 2500 and you will be receiving a 2.5% pay increase this year. What will your new salary be?

Answers

Answer 1
Answer:

Answer:

2562.50

Step-by-step explanation:

2.5=0.025

0.025*2500=62.50

2500+62.50=2562.50


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Find the critical points, domain endpoints, and local extreme values for the functiony=x^2/5(x+3)

a. What is/are the critical point(s) and domain endpoint(s) where f' is undefined?
b. What is/are the critical point(s) and domain endpoint(s) where f' is 0?
c. From the critical point(s) and domain endpoint(s), what is/are the points corresponding to local maxima?
d. From the critical point(s) and domain endpoint(s), what is/are the points corresponding to local minima?

Answers

Answer:

a)x = -3, b)x = 0, x = -6, c)x = 0, d)x = -6

Step-by-step explanation:

a) Let derive the function:

f'(x) = (10\cdot x \cdot (x+3)-5\cdot x^(2))/(25\cdot (x+3)^(2))

f'(x) is undefined when denominator equates to zero. The critical point is:

x = -3

b)f'(x) = 0 when numerator equates to zero. That is:

10\cdot x \cdot (x+3) - 5\cdot x^(2) = 0

10\cdot x^(2)+30\cdot x -5\cdot x^(2) = 0

5\cdot x^(2) + 30\cdot x = 0

5\cdot x \cdot (x+6) = 0

This equation shows two critical points:

x = 0, x = -6

c) The critical points found in point b) and the existence of a discontinuity in point a) lead to the conclusion of the existence local minima and maxima. By plotting the function, it is evident that x = 0 corresponds to a local maximum. (See Attachment)

d) By plotting the function, it is evident that x = -6 corresponds to a local minimum. (See Attachment)

Can some pleaseeee help me here I don’t really understand (I’ll give a brainliest to the one that’s right :) ITS DUE TODAY

Answers

Answer:

You would use > and <, if the first number is greater than the other, you would use >, and vice versa. For the others, you would write the numbers in the order stated, for example, 0, 5, and -7 would be written as -7, 0, 5, -7 being the smallest number, and 5 being the biggest number. Hope this helps.

Answer:

1: <

2: >

3: <

4: <

5: >

6: >

7: _-7_0_5_

8:  _-10_3_10_

10: _-1/2_-8_0_1/2

There are the answers, the only one im not sure about is 10

A fire burned a square - shaped forest 14mi on a side the area is ?

Answers

A square has all sides of the same length. This means that the length and width are both 14 miles. The area of a square is Length times width, or 14 times 14. This comes out to be 196 miles squared
the area is the nuber times the sides which would be 14 times 4, which equals 56

The weights of newborn baby boys born at a local hospital are believed to have a normal distribution with a mean weight of 36843684 grams and a standard deviation of 448448 grams. If a newborn baby boy born at the local hospital is randomly selected, find the probability that the weight will be less than 43564356 grams. Round your answer to four decimal places.

Answers

Answer:

93.32% probability that the weight will be less than 4356 grams.

Step-by-step explanation:

Problems of normally distributed samples are solved using the z-score formula.

In a set with mean \mu and standard deviation \sigma, the zscore of a measure X is given by:

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

The Z-score 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. This p-value is the probability that the value of the measure is smaller than X, that is, the percentile of X. Subtracting 1 by the pvalue, we get the probability that the value of the measure is greater than X.

In this problem, we have that:

\mu = 3684, \sigma = 448

If a newborn baby boy born at the local hospital is randomly selected, find the probability that the weight will be less than 4356 grams.

This is the pvalue of Z when X = 4356. So

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

Z = (4356 - 3684)/(448)

Z = 1.5

Z = 1.5 has a pvalue of 0.9332

93.32% probability that the weight will be less than 4356 grams.

Sarah practices her violin 45 minutes each practice session. She sets a goal to practice 6,075 minutes.How many practice sessions will it take for Sarah to reach her goal?

Answers

Answer:

135 times

Step-by-step explanation:

Answer:

135

Step-by-step explanation:

A point travels East 3 spaces and South 8 spaces.Write the description in algebraic terms.

Answers

Answer:

A point travels East 3 spaces and South 8 spaces.

Algebraic equation

P'(x,y) = (x+3, y-8)

Step-by-step explanation:

From the viewpoint of Linear Algebra, the description can be described by means of translation, which is defined as:

P'(x,y) =P(x,y) +T(x,y)(1)

Where:

P(x,y) - Initial position of the traveller, dimensionless.

T(x,y) - Translation vector, dimensionless.

P'(x,y) - Final position of the traveller, dimensionless.

Let suppose that y > 0 represents the number of steps to the north, and x> 0, the number of steps to the east.

If we know that P(x,y) =(x,y) and T(x,y) = (3, -8), then the resulting equation is:

P'(x,y) = (x,y) +(3,-8)

P'(x,y) = (x+3, y-8)