40.0 Reyna runs a textile company that manufactures T-shirts. The profit, p, made by the company is modeled by the function p=s2+95-142, where s is the number of T-shirts sold. How many T-shirts should be sold to earn a profit of more than $2,000?

40.0 Reyna Runs A Textile Company That Manufactures T-shirts. The Profit, P, Made By The Company Is Modeled

Answers

Answer 1
[tex]\begin{gathered} p=s^2+9s-142 \\ \text{ Substiyute }p\text{ = 2000 into the equation above} \end{gathered}[/tex][tex]\begin{gathered} 2000=s^2+9s-142 \\ s^2+9s-142-2000=0 \\ s^2+9s-2142=0 \\ =s^2+51s-42s-2142=0 \\ =s(s+51)-42(s+51)=0 \\ =(s+51)(s-42)=0 \\ s+51=0\text{ or s-42=0} \\ s=-51\text{ or s = 42} \end{gathered}[/tex]

But cannot be negative, hence s= 42. This implies that 42 shirts will be sold to make a profit of exactly $2000.

To earn a profit of more than $2000, then s must be greater than 42

This makes the answer to be s > 42

The correct answer is the second option


Related Questions

what kind of triangle congruence would i put for the last reason?

Answers

Looking at the diagram, The last statement means that trangle PQS is congruent to triangle RSQ. This means that

line PQ is equal to line RS

line QS is equal to line SQ

angle Q is equal to angle S

Thus, the reason would be

Side Angle Side(SAS)

Two sides and one angle are equal or congruent

I have a question so yall can get points so Whats 1+1

Answers

answer needs at least 20 characters so here's ur answer 2

Step-by-step explanation:

thank u

Answer: 2

1 + 1 = 2

lol thanks for the points

What is the value of an edge length of the larger prism in centimeterMecand vou answer and now in the bubbles on your answer document. Be sure to use thecorect place value

Answers

Ok, we have here two similar prisms, which means that the length of every sides of one prism is proportional to the correspondent side of the other prism.

From this, we have the following relation: (7/2.8) = (x/11.2)

Multiplying both sides by 11.2, we got: x = (11.2*7)/2.8 = 28 cm.

Write the expression as a sum and/or difference of logarithms. Express powers as factors

Answers

We will have the following:

[tex]\begin{gathered} ln(x^3\sqrt{6-x})=ln(x^3)+ln(\sqrt{6-x}) \\ \\ =3ln(x)+\frac{1}{2}ln(6-x) \end{gathered}[/tex]

(Score for Question 1: ___ of 5 points)1. Wendy wants to find the width, AB, of a river. She walks along the edge of the river 300 ft and markspoint C. Then she walks 80 ft further and marks point D. She turns 90° and walks until her location,point A, and point C are collinear. She marks point E at this location, as shown.AriverAD 80 ft300 ftBE(a) Can Wendy conclude that AABC and AEDC are similar? Why or why not?(b) Suppose DE = 50 ft Calculate the width of the river, AB. Show all your work.Answer

Answers

ExplanationPart a)

We know that two triangles are similar if two pairs of corresponding angles are equal.

In this case, we have:

• Angles EDC and ABC are right angles. Then, these angles are equal.

,

• Angles DCE and ACB are ,vertical angles,. In other words, they are opposite angles made by two intersecting lines. Vertical angles are ,congruent,, then these angles are equal.

Answer

Since the above condition is fulfilled, triangles ABC and EDC are similar.

Part b)

When two triangles are similar, their corresponding sides are in the same ratio.

[tex]\frac{a}{e}=\frac{b}{d}=\frac{c}{c^{\prime}}[/tex]

Then, we can write and solve the following equation:

[tex]\begin{gathered} \frac{300ft}{80ft}=\frac{c}{50ft} \\ 3.75=\frac{c}{50ft} \\ \text{ Multiply by 50ft from both sides} \\ 3.75*50ft=\frac{c}{50ft}*50ft \\ 187.5ft=c \end{gathered}[/tex]Answer

The width of the river is 187.5 feet.

whats x+7, y equals and how do i find it?

Answers

The figure HGD was translated 7 units right; and then it was translated 9 units up. This can be shown as:

(x, y) → (x + 7, y + 9)

Answer = 9

Which number is irrational? A. 0.656656665... B. 0.78 C. 2.35 D. 꼭

Answers

[tex]0.78[/tex]

can be expressed as a fraction:

[tex]\frac{39}{50}[/tex]

Therefore, it is a rational number

[tex]2.35[/tex]

Can be expressed as a fraction:

[tex]\frac{47}{20}[/tex]

Therefore, it is a rational number

However:

[tex]0.656656665[/tex]

can't be expressed as a fraction, therefore, it is an irrational number

Lloyd is standing near a telephone pole. When his head touches the support wire, he is 25 feet from where the wire meets the ground. Lloydis 5 ft tall. Hon tallis the pole?1-8f feetO A 20 ft.B. 15 ftC. 80 ft.D. 17 ft

Answers

We will use the pythagorean theorem to figure the answer out.

Applying the Pythagorean Theorem, we have (let unknown side be x):

[tex]\begin{gathered} 6^2+x^2=10^2 \\ 36+x^2=100 \\ x^2=100-36 \\ x^2=64 \\ x=\sqrt[]{64} \\ x=8 \end{gathered}[/tex]Answer 8 feet (B)

Arc Length Formula:: Cx = degree measure of arcC-circumferenceDirections: Find each arc length. Round to the nearest hundredth.10. If EB = 15 cm, find the length of CD. 11. IF NR = 8 ft, find the length of NMP.DC12. IF VS = 12 m, find the length of UT.13. If JH = 21 in, fnd the length of KJG.12759DBS14. If FG = 27 yd, find the length of FED.15. If WS = 4.5 mm, find the length of TS.4780128317.62

Answers

Arc length formula:

[tex]\begin{gathered} \text{Arc length=}\frac{x}{360}\cdot C \\ \\ C=2\pi r \\ r=\text{radius} \end{gathered}[/tex]

____________________________

10. r= 15cm

Angle CED is supplementary with angle BEC (add up to 180°)

[tex]\begin{gathered} m\angle\text{CED}+m\angle\text{BEC}=180 \\ \\ m\angle CED=180-m\angle BEC \\ m\angle CED=180-68 \\ m\angle CED=112 \end{gathered}[/tex]

Then, arc CD is:

[tex]\begin{gathered} CD=\frac{112}{360}\cdot2\pi(15\operatorname{cm}) \\ \\ CD\approx29.32\operatorname{cm} \end{gathered}[/tex]

___________________________________________________

11. r=8ft

The measure of central angle MRQ is equal to the measure of the given arc MQ (162°) and this angle and angle NRP are vertical angles (have the same measure) then, angle MRN and QRP (also vertical angles) need to add up 360° with the other angles, use it to find the measure of angle MRN:

[tex]\begin{gathered} m\angle NRP+m\angle NRP+m\angle MRN+m\angle QRP=360 \\ \\ 2m\angle NRP+2m\angle MRN=360 \\ 2(162)+2m\angle MRN=360 \\ 324+2m\angle MRN=360 \\ 2m\angle MRN=360-324 \\ m\angle MRN=\frac{36}{2} \\ \\ m\angle MRN=18 \end{gathered}[/tex]

The angle for arc NMP is equal to the sum of angle MRP (180°) and angle MRN (18°).

Then, the length of arc NMP is:

[tex]\begin{gathered} \text{NMP}=\frac{180+18}{360}\cdot2\pi(8ft) \\ \\ \text{NMP}=27.65ft \end{gathered}[/tex]

___________________________

The graph shows the relationship between pounds of grapes, g, and their cost, c.

A graph on a coordinate plane shows cost of grapes on the horizontal axis (c), numbered 2 to 6, and pounds of grapes on the vertical axis (g), numbered 1 to 4. Solid circles are at points (0, 0), (2, 1), (4, 2), (6, 3), and are connected by a solid line.

Use the graph to complete the statements.

For every dollar you spend, you can get
0.5
pounds of grapes.

For each pound of grapes, you would need $
.

Answers

For every dollar you spend, you can get 0.5 pounds of grapes.

For each pound of grapes, you would need $2.

How to interpret the graph?

From the coordinates of this graph, we can reasonably infer and logically deduce that it models a straight line, shows a proportional relationship and can be represented by using a linear function.

Mathematically, a proportional relationship can be represented by the following equation:

g = kc

Where:

k is the constant of proportionality.g represent the pounds of grapes.c represent the cost of grapes in dollar.

Next, we would determine the constant of proportionality (k) for the data points shown on this graph as follows:

k = g/c

k = 1/2 or 0.5

Therefore, the linear equation is given by g = 0.5c.

For the amount of dollar needed at g = 1, we have:

g = 0.5c

c = g/0.5

c = 1/0.5

c = $2.

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Add these fractions using fraction bars after choosing a common denominator Use the fraction bar inactivate to find the difference

Answers

The fractions you have to add are 1/3 and -5/6

[tex]\frac{1}{3}+(-\frac{5}{6})[/tex]

The denominators are "3" and "6"

The common denominator between both numbers is 6.

6*1=6

3*2=6

Multiply 1/3 by factor 2 so that both fractions will have the same denominator

[tex]\frac{1}{3}\cdot2=\frac{1\cdot2}{3\cdot2}=\frac{2}{6}[/tex]

Now you can add both fractions

[tex]\frac{2}{6}+(-\frac{5}{6})=\frac{2}{6}-\frac{5}{6}=\frac{2-5}{6}=-\frac{3}{6}[/tex]

The result is not in its most reduced form, to siplify the fraction divide both the numerator and denominator by 3

[tex]-\frac{3}{6}\div3=-\frac{1}{2}[/tex]

The result is -1/2, in the number line:

Question 2 A recipe for homemade modeling clay requires 4 parts plain flour to 1 part cornstarch. Indicate whether each set of ingredients below is proportional to the recipe. Proportional Not Proportional 8 cups plain flour and 2 cups cornstarch 20 cups plain flour and 5 cups cornstarch 2 cups plain flour and 1 cup cornstarch Next Question Check Answer Privacy and Cookies | Terms of Use | Minimum Frequirements | Platform Status 2021 McGraw-HI Education. All Rights Reserved

Answers

The given ratio is 4 parts of plain flour to 1 part of cornstarch.

So, each recipe with the same ratio will be the answer.

As you can observe, the first choice is proportional because the plain flour is 4 times the cornstarch.

The second choice is proportional too because the plain flour is 4 times the cornstarch.

However, the last choice is not proportional because it has a ratio of double, which is not correct.

A grocery store sales for $522,000 and a 25% down payment is made a 20 year mortgage at 7% is obtain compute and amortization schedule for the first three months round your answer to two Decimal place if necessary

Answers

The value of the mortgage (the real amount to be financed) is A = $391,500.

The annual interest rate is r = 7%. We must convert it to montly decimal rate:

r = 7 / 12 / 100 = 0.005833

Note: The decimals will be kept in our calculator. Only two decimal places will be shown in the results.

The monthly payment is R = $3,034.13 which includes interest and principal.

For the first month, the loan has not been paid upon, so the interest for this period is:

I = $391,500 * 0.005833 = $2,283.75

From the monthly payment, the portion that goes to pay the principal is:

$3,034.13 - $2,283.75 = $750.38

So the new balance of the loan is:

$391,500 - $750.38 = $390,749.62

Thus, for payment 1:

Interest - Payment on Principal - Balance of Loan

$2,283.75 - $750.38 - $390,749.62

Repeating the calcuations for the second payment:

The interest for this period is:

I = $390,749.62 * 0.005833 = $2,279.37

From the monthly payment, the portion that goes to pay the principal is:

$3,034.13 - $2,279.37 = $754.76

So the new balance of the loan is:

$390,749.62 - $754.76 = 389,994.86

The table is updated as follows:

Interest - Payment on Principal - Balance of Loan

$2,283.75 - $750.38 - $390,749.62

$2,279.37 - $754.76 - $389,994.86

For the third month:

The interest for this period is:

I = $389,994.86 * 0.005833 = $2,274.97

From the monthly payment, the portion that goes to pay the principal is:

$3,034.13 - $2,274.97 = $759.16

So the new balance of the loan is:

$389,994.86 - $759.16 = $389,235.70

The final updated table is:

Interest - Payment on Principal - Balance of Loan

$2,283.75 - $750.38 - $390,749.62

$2,279.37 - $754.76 - $389,994.86

$2,274.97 - $759.16 - $389,235.70

24 miles is to 1 gallon of gas as 60 miles is to 2.5 gallons of gas Choose the correct letter

Answers

Since 24 miles is to 1 gallon of gas as 60 miles is to 2.5 gallons of gas

These are 2 equal ratios, then

They will be 2 equal fractions

[tex]\frac{24\text{ miles}}{1\text{ gallon}}=\frac{60\text{ miles}}{2.5\text{ gallons}}[/tex]

The correct answer is D

(A) A shipment of 10 cameras will likely have 6 defectives. If a person buys 2 cameras, what is the probability of getting 2 defectives?(B) What are the odds in favor of getting a defective camera?

Answers

To solve the exercise, you can use the formula of the binomial distribution:

[tex]\begin{gathered} P(x)=\binom{n}{x}p^x(1-p)^{n-x} \\ \text{ Where } \\ n\text{ is the number of trials (or the number being sampled)} \\ x\text{ is the number of successes desired} \\ p\text{ is the number of getting a success in one trial} \end{gathered}[/tex]

So, in this case, we have:

[tex]\begin{gathered} n=10 \\ p=\frac{6}{10}=0.6 \end{gathered}[/tex]

Because "success" is that there are defective cameras, 6 defective cameras out of 10 in total.

For part A, we have:

[tex]\begin{gathered} x=2 \\ P(x)=\binom{n}{x}p^x(1-p)^{n-x} \\ P(2)=\binom{10}{2}\cdot0.6^2\cdot(1-0.6)^{10-2} \\ P(2)=\binom{10}{2}\cdot0.6^2\cdot(0.4)^8 \\ P(2)=45\cdot0.36\cdot0.00065536 \\ P(2)=0.0106 \end{gathered}[/tex]

Therefore, the probability of getting 2 defective cameras is 0.0106.

For part B, we have:

[tex]\begin{gathered} x=1 \\ P(x)=\binom{n}{x}p^x(1-p)^{n-x} \\ P(1)=\binom{10}{1}\cdot0.6^1\cdot(1-0.6)^{10-1} \\ P(1)=\binom{10}{1}\cdot0.6^1\cdot(0.4)^9 \\ P(1)=10\cdot0.6\cdot0.000262144 \\ P(1)=0.0016 \end{gathered}[/tex]

Therefore, the probability of getting one defective camera is 0.0016.

simplify 425xy⁴/25xy²

Answers

We have the expression

[tex]\frac{425xy^4}{25xy^2}[/tex]

We can already simplify x because it's both on the numerator and denominator

[tex]\frac{425y^4}{25y^2}[/tex]

Now we can simplify 425/25 = 17

[tex]\frac{17y^4}{y^2}[/tex]

Remember that

[tex]\frac{a^n}{a^m}=a^{n-m}[/tex]

Then

[tex]17y^{4-2}=17y^2[/tex]

The final result is

[tex]17y^2[/tex]

You are researching the speed of sound waves in dry air
at 86°F. The linear function d = 0.217t represents the distances d (in miles) sound waves
travel in t seconds.
A. Represent the situation using a table and a graph.
B. Which of the three representations would you use to find how long it takes sound waves to travel 0.1 mile in dry air at 86°F? Explain.

Answers

By observing the pace at which this compressed region moves through the medium, we may determine the sound speed.The speed of sound is roughly 343 meters per second or 767 miles per hour in dry air at 20 degrees Celsius.

Calculate speed of sound wave?

The formula for the airborne sound speedThe equation for the speed of sound in air as a function of absolute temperature is given by the simplification of v=RTM:v=√γRTM=√γRTM(273K273K)=√(273K)γRM√T273K≈331m 2) Time required for 1620m to be traveled at that speed: t = d / v 0.217m / 0.1 m/s) = 2.17m/ s from the beginning of the sound wave.Since you were watching the lightning, you might have wanted to know the time.Then, using the speed of light, you can determine how long it was between the lights being generated o.217 meters distant from you and Light travels at a speed of

3*108 m/s, hence t = 0.217m / (3*108 m/s) = 0.000669 s.

The answer is o.000669 s, as determined in step 2, even though this time is entirely negligible.

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Trying to figure out this for my home work assignment

Answers

Given:

Choosing a even number from the numbers between 1 and 10.

The sample space is

[tex]\mleft\lbrace2,3,4,5,6,7,8,9\mright\rbrace[/tex]

Let A be the event of choosing a even number.

There are 4 out comes in the experiment.

How do you decide which rational number operations to use to solve problems

Answers

One can decide which rational number operations to use to solve problems based on the context of the information.

What is a rational number?

Studying rational numbers is significant because they illustrate how the world is so complex that we will never be able to comprehend it.

A rational number is defined as the ratio or fraction p/q of two numbers, where p and q are the numerator and denominator, respectively. Every integer and 3/7, for example, are rational numbers.

A rational number is defined as the quotient of the fraction p/q of two integers, a numerator p and a non-zero denominator q. Every integer is a rational number since q might be equal to 1.

In this case, the operation include addition, subtraction, division, etc. This will be based on the context.

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Find the equation of the line though the point (-3, -2) and perpendicular to the line y = 2/3x-2.Write your answer in the form y=mx+b.

Answers

For this question we know that we have a point (-3,-2) and we want to find an equation perpendicular to the line

y=2/3x-2.

Since both lines are perpendicular we need to satisfy this:

[tex]m_1\cdot m_2=-1[/tex]

With m1= 2/3. If we solve for m2 we got:

[tex]m_2=\frac{-1}{m_1}=\frac{-1}{\frac{2}{3}}=-\frac{3}{2}[/tex]

And then we can find the intercept for the new line using the point given with x=-3 and y=-2 and we got this:

[tex]-2=-\frac{3}{2}(-3)+b[/tex]

And solving for b we got:

[tex]b=-\frac{9}{2}-2=-\frac{13}{2}[/tex]

And then our final answer would be:

[tex]y=-\frac{3}{2}x-\frac{13}{2}[/tex]

A ladder leans against the side of a house. The top of the ladder is 10 ft from the ground. The bottom of the ladder is 9 ft from the side of the house. Find thelength of the ladder. If necessary, round your answer to the nearest tenth.х5?9ExplanationCheck

Answers

Given:

Distance of top of ladder to the ground = 10 ft

Distance of bottom of ladder from the side of the house = 9 ft

Let's find the length of the ladder.

Since the ladder forms a right triangle with the house, to find the length of the ladder apply Pythagorean Theorem.

[tex]c^2=a^2+b^2[/tex]

Where:

a = 10 ft

b = 9 ft

c = length of ladder

Thus, we have:

[tex]\begin{gathered} c^2=10^2+9^2 \\ \\ c^2=100+81 \\ \\ c^2=181 \end{gathered}[/tex]

Take the square root of both sides:

[tex]\begin{gathered} \sqrt[]{c^2}=\sqrt[]{181} \\ \\ c=13.5 \end{gathered}[/tex]

Therefore, the length of the ladder rounded to the nearest tenth is 13.5 ft

ANSWER:

13.5 ft

use a sum or difference identity to find the exact value of :

Answers

[tex]\begin{gathered} \sin 285\text{ } \\ 285\text{ can be split into 225 and 60} \end{gathered}[/tex][tex]\sin (225+60)[/tex]

Using the rule

[tex]\sin (x+y)=\sin x\cos y+\cos x\sin y[/tex][tex]\begin{gathered} \sin (225+60)=\sin 225\cos 60+\cos 225\sin 60 \\ \end{gathered}[/tex]

Sine is negative in the third quadrant therefore,

[tex]\begin{gathered} -(\sin 45)\cos 60+\cos 225\sin 60 \\ \sin \text{ 45=}\frac{\sqrt[]{2}}{2}\text{ then the negative sign} \\ -\frac{\sqrt[]{2}}{2} \\ -\frac{\sqrt[]{2}}{2}\cos 60+\cos 225\sin 60 \\ \cos \text{ 60=}\frac{1}{2} \\ -\frac{\sqrt[]{2}}{2}(\frac{1}{2})+\cos 225\sin 60 \end{gathered}[/tex]

Let us find the other side

[tex]\begin{gathered} \cos \text{ 45=}\frac{\sqrt[]{2}}{2} \\ cos\text{ is negative in the third quadrant } \\ -\frac{\sqrt[]{2}}{2} \\ \sin \text{ 60=}\frac{\sqrt[]{3}}{2} \\ \end{gathered}[/tex]

Bring everything together

[tex]\begin{gathered} -\frac{\sqrt[]{2}}{2}(\frac{1}{2})-\frac{\sqrt[]{2}}{2}(\frac{\sqrt[]{3}}{2}) \\ -\frac{\sqrt[]{2}}{4}-\frac{\sqrt[]{6}}{4}=\frac{-\sqrt[]{2}-\sqrt[]{6}}{4}=-0.965925826\ldots... \end{gathered}[/tex]

1 litre=1000cm³. About how many test tubes, each holding 24cm³ of water, can be filled from a
1 litre flask?

Answers

Answer: 125/3 or about 41.667

Note that you can't have 2/3 of a test tube, so the expected answer may be 42 test tubes.

Step-by-step explanation:

Write a simple algebra equation using the word problem

24x = 1000

x represents the number of test-tubes, each of which hold 24cm^3 of water.  

divide both sides by 24

x = 125/3 or about 41.667

PLEASE HURRY!!!!!

Here is a hanger diagram. With a hanger diagram, when the diagram is balanced, there is equal weight on each side. Write an equation to represent the hanger. (Do NOT put spaces in your answer.)

Answers

Answer:

x = 8

x = 3

x = 2

x = 1

x = 1

x = 2

x + x+ x+ x+ x+ 2 = 17

try any number

Select the similarity transformation(s) that make ABCD similar to EFGH.

Answers

Answer:

D

F

Explanation:

We would compare the coordinates of the corresponding vertices of rectangles ABCD and EFGH. We would compare vertices A and E. From the information given,

A = (1, - 2)

E = (- 2, 4)

If we apply (x, y)---(- x, - y) to A, it becomes (- 1, - - 2) = (- 1, 2)

If we apply (x, y)---(2x, 2y) to (- 1, 2), it becomes (2 * - 1, 2 * 2) = (- 2, 4)

Thus, the correct similarity transformation(s) that make ABCD similar to EFGH are

D

F

Audrey was attempting to draw a picture that would be the cover of the upcoming movie, Up 2. Thepicture would be of the house being carried by balloons again. She started her drawing with theballoons, which she wanted to make all the same size.She drew a circle for the balloon and found the radius, which was 9cm. How big around will all ofAudrey's balloon drawings be?——Please help me.

Answers

Audrey drew a circle for the balloon, this circle has a radius of 9 cm.

To know how big the baloon is you have to determine its circumference.

To calculate the circumference of a circle you have to multiply its diameter by number pi:

[tex]C=d\pi[/tex]

The formula is C=dπ

The diameter is twice the circle so the diameter of the baloon is:

[tex]\begin{gathered} d=2r \\ d=2\cdot9 \\ d=18\operatorname{cm} \end{gathered}[/tex]

The calculation for the diameter is:

d=2r

d=2*9

d=18cm

So the circumference of a circle with diameter 18cm is:

[tex]\begin{gathered} C=18\pi \\ C\cong56.548\operatorname{cm} \end{gathered}[/tex]

For this balloon:

C=18π

C≅56.548xm

Select the correct answer.
What is the approximate value of this logarithmic expression?
log5 18

Answers

The logarithms as a sum or difference of logarithms, using the power rule if necessary, to expand them.

The approximate value exists [tex]$\log _5 18 \approx 1.80$[/tex].

What is meant by logarithmic expression?

An equation using the logarithm of an expression containing a variable is referred to as a logarithmic equation. Check to verify if you can write both sides of the equation as powers of the same number before attempting to solve an exponential equation.

Write logarithms as a sum or difference of logarithms, using the power rule if necessary, to expand them. Utilizing the quotient rule, product rule, and power rule in that order is frequently beneficial.

The change of base formula can be used.

[tex]$\log _5(18)=\frac{\log 18}{\log 5} \approx \frac{1.25527}{0.69897} \approx 1.7959$$[/tex]

simplifying the above equation, we get

[tex]$\log _5 18 \approx 1.80$[/tex]

Therefore, the correct answer is option B. 1.80.

The complete question is:

Select the correct answer.

What is the approximate value of this logarithmic expression? [tex]$\log _5 18$[/tex]

A. 1.28

B. 1.80

C. 0.56

D. 2.89

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A shellfish absorbed 40% of the heavy metals in the water in and just the concentration of heavy metals is 0.0002 mg/m³ .The shellfish ingests 4 L of water per hour. How many heavy metal does it absorb in 3 months? (Assume there are 30 days in a month there are 1000 L in one cubic meter)

Answers

Answer:

Step-by-step explanation:

Tom Blasting invested $4,500 in an investment paying 10% compounded quarterly for 3 years. Find the interest

Answers

Given that Tom invested $4500 in an investment paying 10% compounded quarterly for 3 years.

We have to find the interest for the given time period.

We know that the formula of amount on a principal P, rate r per annum, time t years where interest is compounding quarterly is:

[tex]A=P(1+\frac{r}{4})^{4t}[/tex]

Here, P = 4500, r = 0.1 and t = 3. So,

[tex]\begin{gathered} A=4500(1+\frac{0.1}{4})^{4(3)} \\ =4500(1+0.025)^{12} \\ =4500(1.025)^{12} \\ =4500(1.3448) \\ =6051.6 \end{gathered}[/tex]

So, the amount we get is $6051.6.

Now, it is known that the interest is the difference between the amount and the principal. So,

[tex]\begin{gathered} \text{ interest}=\text{ amount-principal} \\ =6051.6-4500 \\ =1551.6 \end{gathered}[/tex]

Thus, the interest is $1551.6.

Sarah needs to lease out a music studio to record her new album. The studio chargesan initial studio-use fee plus an hourly fee for each hour in the studio. The fixed fee touse the studio is $150 and the total cost charged for 2 hours is $300. Write anequation for P, in terms of t, representing the amount of money Sarah would have topay to use the studio for t hours.

Answers

Fixed fee is 150

Total cost for 2 hours is 300

If the fixed fee is 150, and Sarah paid 300, then she paid 150 for the fixed fee and anohter 150 for the two hours, that means that each hour is 75

Then we can write the equation:

P = 75t + 150

Answer:

P = 75t + 150

Other Questions
mark wrote this description of a quadrilateral he drew it has one pair of parallel lines and two congruent lines but the lines that are congruent are not parallel what was feudalism define structure Which of these best explains the impact of convection on the atmosphere? Dense air moves away from Earth's surface. Water heats up the air surrounding it. Land heats up the air surrounding it. Warm air rises upwards Convert the numeral in base ten. (Explanation please) to ensure that the decolorization of crystal violet reaction takes place within the linear range of the crystal violet calibration curve, and that there is an excess of hydroxide ions, 10.0 ml of the stock solution of crystal violet is diluted twice. first, with 10.0e so ml of distilled water and then with 10.0 ml of 0.10 m naoh. what is the [oh-] in the final dilute solution? On the scale drawing of a small town, 1 inch equals 15 feet. On this scale drawing, a parking lot measures 4 2/5 in. by 8 3/5 in.What is the area of the actual parking lot?_________ square feet. Lesson 4-2: Relations VA Name the ordered pair for each point. C 1.A 2.B DI 3.C 4.D e ) Is 5^x a polynomial? if a fraction product always l esser than the lesser factor suppose the price of milk increases by 15%, causing the quantity demanded of cereal to decrease by 45%. what would the cross-price elasticity for milk and cereal be in this case? How does the fact that the job market was in bad shape when the narrator graduated from college affect the narrator and the events of My First Day on the Job? Use evidence from the text to support your response. Your response should be at least two complete paragraphs. Pablo Picasso's Les Demoiselles d'Avignon alludes to the red-light district of Amsterdam.TrueFalse jordan is being treated for catatonic schizophrenia and is currently living in an institution. every time jordan talks to one of the staff members, makes his bed, or behaves in some other appropriate manner, he receives a coupon. after acquiring twenty coupons, he can exchange them for privileges. jordan's maladaptive practices are being treated through the process of t is covered by two health insurance plans: a group plan through his employer and his spouse's plan as a dependent. under the model group coordination of benefits provision, when t files a claim, his employers plan is considered the shiraz has experienced migraine headaches throughout his life. he experiences symptoms for a few months then has a long symptom-free period, usually lasting 10 to 12 months. shiraz's migraines are best described as A study done by researchers at a university concluded that 60% of all student athletes in the country have been subjected to 74 repeating the study is based on responses from 1600 athlete what is the margin of error and the 95% confidence interval of the study One way to tell the difference between hypertonic and hypotonic solutions is that _____________. options cells in hypertonic solutions will shrink as water moves out cells in hypertonic solutions will move faster as water pushes outward cells in hypotonic solutions will swell as water moves into the cell both a and c In the f2 of a dihybrid cross involving two independently assorting genes, what proportion of the offspring will be true-breeding?. Original amount: 25End amount: 18 What is the shortest distance in which you can stop, after the brakes are applied, without the groceries sliding off the seat? The static and kinetic coefficients of friction are, respectively, 0.65 and 0.45. Assume that the surface of the seat is horizontal.