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2 years ago

For which function does f decrease by 15% every time x increases by 1

Mathematics

1 answer:

LenaWriter [7]2 years ago

7 0

Answer:

$f(x) = 0.85^{x}$

Step-by-step explanation:

The exponential function that decrease by 15% every time x increases by 1 is given by:

$f(x) = {(1 - 0.15)}^{x}$

We simplify the parenthesis to get:

$f(x) = 0.85^{x}$

Therefore the decrease by 15% every time x increases by 1 is

$f(x) = {0.85}^{x}$

The second choice is correct.

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a rectangular piece of paper 71 cm long and 10m wide . a cylinder is formed by rolling the paper along its length , find volume

natka813 [3]

Answer:

Volume=355 cm³

Step-by-step explanation:

I assume it should be 10 cm, not 10 m. If it is 10 m, everything will have to be adjusted.

Circumference = 2 $\pi$ r

10=2 $\pi$ r

10÷2 $\pi$ =r

1.59=r

V= $\pi$ r²h

V= $\pi$ (1.59)(71)

v=355

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2 years ago

Daniel deposited $500 into a savings account and after 8 years, his investment is worth $807.07. The equation A = d(1.005)12t mo

shtirl [24]

Answer:

Step-by-step explanation:

The equation A = d(1.005)^12t modelling the value of Daniel’s investment shows a monthly compounded interest. This means that the interest is compounded 12 times in a year.

We can confirm by inputting the given values

t = 8 years

d = 509

Therefore,

A = 500(1.005)12 × 8

A = 500(1.005)^96

A = $807.07

Therefore, the true statements are

Increases

Exponential

Never Decrease

5 0

2 years ago

N 1928, when the high jump was first introduced as a women's sport at the Olympic Games, the winning jump for women was 70.0 inc

n200080 [17]

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4 0

2 years ago

Sofia is working two summer jobs, making $12 per hour babysitting and making $8 per hour clearing tables. In a given week, she c

Mamont248 [21]

The possible values for the number of whole hours clearing tables that she must work to meet her requirements is 2, 3 hours

Solution:

Amount earned in babysitting = $ 12 per hour

Amount earned in clearing tables = $ 8 per hour

In a given week, she can work a maximum of 17 total hours and must earn a minimum of $180

Sofia worked 14 hours babysitting

Therefore,

Amount earned at babysitting = 14 x 12 = 168

Thus, Sofia earned $ 168 at babysitting

Sofia must earn a minimum of $ 180

Remaining amount to be earned = 180 - 168 = 12

Thus, Sofia must earn $ 12 from clearing tables

Amount earned in clearing tables = $ 8 per hour

So, she must work for atleast 1.5 hours to get $ 12 from clearing tables

She can work a maximum of 17 total hours and Sofia worked 14 hours babysitting

Remaining is 17 - 14 = 3 hours

Thus possible values for the number of whole hours clearing tables that she must work to meet her requirements is 2 hours or 3 hours

3 0

2 years ago

What is the length of the y-component of the vector plotted below?

Inessa05 [86]

Answer:

Option A.

Step-by-step explanation:

The vector shown in the figure has components on the x axis and on the y axis.

If each small box on the draw represents a unit, it can be seen that the vector has a component of length equal to 1 on the positive y-axis and a length equal to 4 on the positive x-axis.

Look at the attached image

The sum of these two components results in the vector shown in the figure. Therefore the correct option is option A.

The length is equal to 1

7 0

2 years ago