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3 years ago

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Using technology, we found that Juan’s investment account can be modeled by the function, c(x)=3x2-2x+10, in thousands of dollar

s. What was Juan’s initial investment?

1 answer:

Mrac [35]3 years ago

4 0

I don't understand your question seeing as I'm from the UK and don't understand dollars

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A crew consists of 1 apprentice, 1 journeyman, and 1 master carpenter. The crew receives a check for $4800 for a job they jus

tamaranim1 [39]

Answer:

Apprentice=$800

Journeyman=$1600

Master=$2400

Step-by-step explanation:

We have that all the crew won a total of $4800 then it is the salary of the apprentice, the journeyman and the master carpenter. It say that the journeyman makes 200% of the apprentice, then it means that the journeyman won the double of the apprentice. The master won 150% of what a journeyman, it means that the master won 1.5 of the salary of the journeyman.

With this information we can write the next set of equations.

$A+J+M=\$4800\\J=2A\\M=1.5J$

Using the second equation in the third equation we can know how much won the master in terms of the salary of the apprentice, then:

$M=1.5J\\M=1.5(2A)\\M=3A$

With this we could rewrite the first equation as:

$A+J+M=\$4800\\A+2A+3A=\$4800\\6A=\$4800\\A=\dfrac{\$4800}{6}\\A=\$800$

Then the aprentice earn $800, the journeyman $1600 and the master $2400

6 0

3 years ago

Find the volume of the solid formed by revolving the region bounded by LaTeX: y = \sqrt{x} y = x and the lines LaTeX: y = 1 y =

Strike441 [17]

Answer:

The volume is:

$\displaystyle\frac{37\pi}{10}$

Step-by-step explanation:

See the sketch of the region in the attached graph.

We set the integral using washer method:

$\displaystyle\int_a^b\pi r^2dx$

Notice here the radius of the washer is the difference of the given curves:

$x-\sqrt{x}$

So the integral becomes:

$\displaystyle\int_1^4\pi(x-\sqrt{x})^2dx$

We solve it:

Factor $\pi$ out and distribute the exponent (you can use FOIL):

$\displaystyle\pi\int_1^4x^2-2x\sqrt{x}+x\,dx$

Notice: $x\sqrt{x}=x\cdot x^{1/2}=x^{3/2}$

So the integral becomes:

$\displaystyle\pi\int_1^4x^2-2x^{3/2}+x\,dx$

Then using the basic rule to evaluate the integral:

$\displaystyle\pi\left[\frac{x^3}{3}-\frac{2x^{5/2}}{5/2}+\frac{x^2}{2}\right|_1^4$

Simplifying a bit:

$\displaystyle\pi\left[\frac{x^3}{3}-\frac{4x^{5/2}}{5}+\frac{x^2}{2}\right|_1^4$

Then plugging the limits of the integral:

$\displaystyle\pi\left[\frac{4^3}{3}-\frac{4(4)^{5/2}}{5}+\frac{4^2}{2}-\left(\frac{1}{3}-\frac{4}{5}+\frac{1}{2}\right)\right]$

Taking the root (rational exponents):

$\displaystyle\pi\left[\frac{4^3}{3}-\frac{4(2)^{5}}{5}+\frac{4^2}{2}-\left(\frac{1}{3}-\frac{4}{5}+\frac{1}{2}\right)\right]$

Then doing those arithmetic computations we get:

$\displaystyle\frac{37\pi}{10}$

6 0

3 years ago

What is the measure of

stepan [7]

Answer:

Angle A is 37 degrees, Angle B is 82 degrees, Angle C is 61 degrees

Step-by-step explanation:

Exterior angles are the supplement of interior angles, so subtract 143 from 180 to find Angle A.

180 - 143 = 37

All angles add up to 180.

37 + 61 = 98

180 - 98 = 82

Angle B is 82 degrees.

Hope this helped. :)

7 0

3 years ago

Thanks if u can do all of these for me!!! I need the work and the answers thank u!!;)

noname [10]

Tha number one the aswer is b 5.4

6 0

3 years ago

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Can someone help me on this pleaseeee

CaHeK987 [17]

The answer too this question is 4

4 0

2 years ago

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