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3 years ago

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Caroline is planning on reducing her working schedule and only work 7 hours each day for 4 days a week work out the percentage r

eduction in Caroline's earnings if she decides to go ahead with her plan

1 answer:

11111nata11111 [884]3 years ago

7 0

Caroline should have thought of what she wanted to do first. That way, it reduces Caroline's percentage.

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Suzanne adopted a new marketing strategy to increase sales at her bakery. Her earnings are compounded weekly. The total amount o

Rashid [163]

The correct answer is the last choice.

In a compound interest equation, the first value is the initial investment. In this case, it would be 5000. After the 5000, you would enter the rate that is being used.

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3 years ago

Read 2 more answers

Use l'Hôpital's Rule to find the following limit. ModifyingBelow lim With x right arrow 0StartFraction 3 sine (x )minus 3 x Ove

steposvetlana [31]

Answer:

$\lim_{x \to 0} \frac{3sinx-3x}{7x^3}=-\frac{1}{14}$

Step-by-step explanation:

The limit is:

$\lim_{x \to 0} \frac{3sinx-3x}{7x^3}=\frac{0}{0}$

so, you have an indeterminate result. By using the l'Hôpital's rule you have:

$\lim_{x \to 0} \frac{a(x)}{b(x)}= \lim_{x \to 0} \frac{a'(x)}{b'(x)}$

by replacing, and applying repeatedly you obtain:

$\lim_{x \to 0} \frac{3sinx-3x}{7x^3}= \lim_{x \to 0}\frac{3cosx-3}{21x^2}= \lim_{x \to 0}\frac{-3sinx}{42x}= \lim_{x \to 0}\frac{-3cosx}{42}\\\\ \lim_{x \to 0} \frac{3sinx-3x}{7x^3}=\frac{-3cos0}{42}=-\frac{1}{14}$

hence, the limit of the function is -1/14

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3 years ago

A cold-water faucet can fill a sink in 1212 min, and a hot-water faucet can fill it in 1515 min. The drain can empty the sink

sweet-ann [11.9K]

Answer:

9.1 minutes.

Step-by-step explanation:

Let t represent time taken to fill the tank.

We have been given that a cold water faucet can fill a sink in 12 min, so the part of sink filed in 1 minute would be $\frac{1}{12}$ .

The hot-water faucet can fill it in 15 min, so the part of sink filed in 1 minute would be $\frac{1}{15}$ .

The drain can empty the sink in 25 min, so the part of drain emptied in 1 minute would be $\frac{1}{25}$ .

The part of 1 full tank filled in t minutes, when both faucets are on and the drain is open would be:

$(\frac{1}{12}+\frac{1}{15}-\frac{1}{25})t=1$

Make a common denominator:

$(\frac{1*25}{12*25}+\frac{1*20}{15*20}-\frac{1*12}{25*12})t=1$

$(\frac{25}{300}+\frac{20}{300}-\frac{12}{300})t=1$

$(\frac{25+20-12}{300})t=1$

$\frac{33}{300}t=1$

$\frac{11}{100}t=1$

$\frac{100}{11}\times \frac{11}{100}t=\frac{100}{11}\times1$

$t=\frac{100}{11}$

$t=9.0909$

$t\approx 9.1$

Therefore, it will take 9.1 minutes to fill the sink.

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3 years ago

How to find distance on a triangle like the diagonal part with the Phyhagorean Theorem?

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3 years ago

Two cubic meters of mercury have a mass of 27190 kilograms. What is the density of mercury?

garik1379 [7]

Answer:

27,190

Step-by-step explanation:

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4 years ago