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Harlamova29_29 [7]
3 years ago
7

laire started a new job in the year 2000. every year, her boss evaluates her work and adjusts her salary based on her performanc

e. claire's annual salary tyears after 2000 can be modeled by the following function. c(t) = $40,000+ $1,000ln(t + 1)declan also started a job in the year 2000. every year, his boss evaluates his work and adjusts his salary based on his performance. declan's annual salary t years after 2000 can be modeled by the following table.$45,000 $45,623.83 $45,988.75 $46,247.66 $46,448.49which employee had the greater average rate of change in pay between 2001 and 2004? a) claire b claire and declan had the same average rate of change in payc) this cannot be determined from the given informationsd) declan​

Mathematics
1 answer:
Katena32 [7]3 years ago
5 0

Answer:

  Claire

Step-by-step explanation:

The change in Claire's salary over the 3-year period from 2001 to 2004 was ...

  (40000+1000(ln(1+4))) -(40000+1000(ln(1+1))) = 1000(ln(5)-ln(2)) = 916.29

The change in Declan's salary over the same 3-year period is ...

  46,448.49 -45,623.83 = 824.66

Since the change in Claire's salary is greater, the average rate of change for the period is greater for Claire's salary.

__

The attachment shows the salaries for the two employees, and it shows Claire's salary curve adjusted upward so its rate of change can be directly compared to that for Declan.

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Social studies Geometry P.11 Similarity and altitudes in right triangles CEZ You have priz If SU = 28 and UV = 6, what is TU? T
Alex777 [14]

Answer:

TU ≈ 12.96

Step-by-step explanation:

Using the Altitude on Hypotenuse theorem

(leg of outer triangle)² = (part of hypotenuse below it) × (whole hypotenuse)

TU² = UV × SU = 6 × 28 = 168 ( take square root of both sides )

TU = \sqrt{168} ≈ 12.96 ( to the nearest hundredth )

7 0
3 years ago
I NEED HELP PLS I WILL MARK BRAINLIEST
ANEK [815]

Answer:

\approx 11.2\:\mathrm{in}

Step-by-step explanation:

The swing of the tip of pendulum is creating an arc. The question is actually asking for the length of this arc. The length of an arc is given by 2r\pi\cdot \frac{\theta}{360}, where r is the radius of the circle and \theta is the angle of the arc.

In this problem, we're given:

\theta = 40^{\circ},\\r=16

Substituting given values, we get:

2\cdot 16\cdot \pi \cdot \frac{40}{360}=32\pi\cdot \frac{1}{9}\approx \boxed{11.2\:\mathrm{in}}

8 0
3 years ago
Let fat be the explanatory variable and calories be the response variable; which scenario best describes ŷ = 121 + 1.42x?
emmasim [6.3K]

Using <u>linear function concepts</u>, it is found that the correct option is:

The amount of calories in a cheeseburger increases by 1.42 for every one gram of fat. The calorie amount estimated by this model is 121 if there are zero grams of fat.

A linear function is modeled by:

y = mx + b

In which:

  • m is the slope, which represents by how much y changes when x changes by 1.
  • b is the y-intercept, which is the value of y when x = 0.

In this problem:

  • The explanatory variable fat is the input.
  • The response variable calories is the output.

The equation is:

y = 121 + 1.42x

  • The slope is of 1.42, which means that the amount of calories increases by 1.42 when the amount of fat increases by 1 gram.
  • The y-intercept is of 121, which means that if there are 0 grams of fat, there will be 121 calories.

Thus, the correct option is:

The amount of calories in a cheeseburger increases by 1.42 for every one gram of fat. The calorie amount estimated by this model is 121 if there are zero grams of fat.

A similar problem is given at brainly.com/question/16302622

8 0
3 years ago
I neeed some help here!
BartSMP [9]
The answer is A because 5 x 3/8 and 15 x 1/8 both equal 15/8. 
5 0
3 years ago
Read 2 more answers
Any one that knows this please help thanks!
OLga [1]

Replace each occurrence of x by 7. So we have:-

7^2 + 3 / 7 - 9

= 52 / -2

= -26 answer

5 0
3 years ago
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