Mathematics College

At an interest rate of 8% compounded annually, how long will it take to double the following investments?
$50
$500
$1700

Answers

Answer 1
let's see, if the first one has a Principal of $50, when it doubles the accumulated amount will then be $100,

recall your logarithm rules for an exponential,

[tex]\bf \textit{Logarithm of exponentials}\\\\ log_{{ a}}\left( x^{{ b}} \right)\implies {{ b}}\cdot log_{{ a}}(x)\\\\ -------------------------------\\\\ \qquad \textit{Compound Interest Earned Amount} \\\\ [/tex]

[tex]\bf A=P\left(1+\frac{r}{n}\right)^{nt} \quad \begin{cases} A=\textit{accumulated amount}\to &\$100\\ P=\textit{original amount deposited}\to &\$50\\ r=rate\to 8\%\to \frac{8}{100}\to &0.08\\ n= \begin{array}{llll} \textit{times it compounds per year}\\ \textit{annnually, thus once} \end{array}\to &1\\ t=years \end{cases} \\\\\\ 100=50\left(1+\frac{0.08}{1}\right)^{1\cdot t}\implies 100=50(1.08)^t \\\\\\ \cfrac{100}{50}=1.08^t\implies 2=1.08^t\implies log(2)=log(1.08^t) \\\\\\ [/tex]

[tex]\bf log(2)=t\cdot log(1.08)\implies \cfrac{log(2)}{log(1.08)}=t\implies 9.0065\approx t\\\\ -------------------------------\\\\ [/tex]

now, for the second amount, if the Principal is 500, the accumulated amount is 1000 when doubled,

[tex]\bf \qquad \textit{Compound Interest Earned Amount} \\\\ A=P\left(1+\frac{r}{n}\right)^{nt} \quad \begin{cases} A=\textit{accumulated amount}\to &\$1000\\ P=\textit{original amount deposited}\to &\$500\\ r=rate\to 8\%\to \frac{8}{100}\to &0.08\\ n= \begin{array}{llll} \textit{times it compounds per year}\\ \textit{annnually, thus once} \end{array}\to &1\\ t=years \end{cases} \\\\\\ 1000=500\left(1+\frac{0.08}{1}\right)^{1\cdot t}\implies 1000=500(1.08)^t \\\\\\ [/tex]

[tex]\bf \cfrac{1000}{500}=1.08^t\implies 2=1.08^t\implies log(2)=log(1.08^t) \\\\\\ log(2)=t\cdot log(1.08)\implies \cfrac{log(2)}{log(1.08)}=t\implies 9.0065\approx t\\\\ -------------------------------[/tex]

now, for the last, Principal is 1700, amount is then 3400,

[tex]\bf \qquad \textit{Compound Interest Earned Amount} \\\\ A=P\left(1+\frac{r}{n}\right)^{nt} \quad \begin{cases} A=\textit{accumulated amount}\to &\$3400\\ P=\textit{original amount deposited}\to &\$1700\\ r=rate\to 8\%\to \frac{8}{100}\to &0.08\\ n= \begin{array}{llll} \textit{times it compounds per year}\\ \textit{annnually, thus once} \end{array}\to &1\\ t=years \end{cases}[/tex]

[tex]\bf 3400=1700\left(1+\frac{0.08}{1}\right)^{1\cdot t}\implies 3400=1700(1.08)^t \\\\\\ \cfrac{3400}{1700}=1.08^t\implies 2=1.08^t\implies log(2)=log(1.08^t) \\\\\\ log(2)=t\cdot log(1.08)\implies \cfrac{log(2)}{log(1.08)}=t\implies 9.0065\approx t[/tex]

Related Questions

f(x) = x2 + 5x – 1 is shifted 3 units left. The result is g(x). What is g(x)?

A. g(x) = (x – 3)2 + 5(x – 3) – 1
B. g(x) = x2 + 5x + 2
C. g(x) = (x + 3)2 + 5x – 1
D. g(x) = (x + 3)2 + 5(x + 3) – 1

Answers

D. When you shift left you add the units to all x because the x is what shifts. Even though you moved left, it is positive. If you move right , it is minus.

Answer:

g(x) =  (x+3)² + 5(x+3) – 1.

Step-by-step explanation:

Given  : f(x) = x² + 5x – 1 is shifted 3 units left.

To find : The result is g(x). What is g(x).

Solution : We have given that

f(x) = x² + 5x – 1  is shifted 3 units left.

By the transformation rule : If f(x) →→ f(x +h) shifted by h unit left .

f(x) = x² + 5x – 1 is shifted 3 units left.

Here , h = 3

Then g(x) =  (x+3)² + 5(x+3) – 1.

Therefore,  g(x) =  (x+3)² + 5(x+3) – 1.

what is the equation of the line graph shown? (-2,-3), (3, -3)

Answers

the equation is y= -3 because it is a horizontal line that goes across 0,-3

what is scatterplot ?

Answers

They are like a line graph but they are points in a graph to show you how much more something is compared to something else

A scatter plot is a graph in which the data is plotted on a coordinate grid. The horizontal axis will be the x-axis and the vertical axis will be the y-axis.

A music school has budgeted to purchase 3 musical instruments. they plan to purchase a piano costing $4,000, a guitar costing $600, and a drum set costing $750. the mean cost for a piano is $5,000 with a standard deviation of $2,000. the mean cost for a guitar is $550 with a standard deviation of $250. the mean cost for drums is $950 with a standard deviation of $100. (enter your answers to two decimal places.) how many standard deviations above or below the average piano cost is the piano

Answers

To solve this, we can use the z statistic. The formula for z score is given as:

z = (x – u) / s

where x is the actual cost = 4000, u is the mean cost = 5000, and s is the standard deviation = 2000

 

Solving for z:

z = (4000 – 5000) / 2000

z = - 0.5

 

Therefore the piano cost is only 0.5 standard deviations below the average cost.

3/4xy What are the factors of the expression?

Answers

The factors in this expression are 3 and 4. Hope this helps! =)

The factors of the given expressions are [tex]\dfrac{3}{4},x,y[/tex].

Given:

The given expression is [tex]\dfrac{3}{4}xy[/tex].

To find:

The factors of the given expression.

Explanation:

Factors of an expression are the terms or expressions whose product is equal to that expression.

We have,

[tex]\dfrac{3}{4}xy[/tex]

Therefore, the factors of the given expressions are [tex]\dfrac{3}{4},x,y[/tex].

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For homework, a student had to complete 54 problems total. If she finished 9 problems in class, what is the ratio of problems she still needs to complete the problems that she already finished?

Answers

6/1 is the reduced ratio or 54/9 as a non reduced ratio 

Answer:

29

Step-by-step explanation:

What is 0.3 * 1.3 = ?



Please help me!

Answers

.3*1.3 = .39

Hope this helps!
The answer is 0.39. Hope this helps! :D

find the measure of each marked angle (2x-21) and (x+3)

Answers

it would be 2x+24 because you add and subtract 

Suppose bob uses the rsa cryptosystem with a very large modulus n for which the factorization cannot be found in a reasonable amount of time. suppose alice sends a message to bob by representing each alphabetic character as an integer between 0 and 25 (a s 0, . . . , z s 25), and then encrypting each number separately using rsa with large e and large n. is this method secure? if not, describe the most efficient attack against this encryption method.

Answers

The answer is this method is not secure but a frequency attack can be applied. Knowing the public key in this case is, nonetheless, adequate for an attacker to calculate a table, on behalf of one-to-one communication between the plaintext and the cipher text. Computed table allows him/her to decrypt any ciphertext, encoded using RSA Cryptosystem in such a means.

Encrypting each character separately in RSA is insecure due to the limited set of characters and can be compromised by frequency analysis. RSA's security typically relies on the difficulty of factorizing large numbers, but with only 26 character possibilities, patterns can emerge that allow decryption.

When Alice sends a message to Bob using the RSA cryptosystem, each alphabetic character is represented as an integer between 0 and 25 and then encrypted using RSA with a large exponent e and a large modulus n. Although this method uses a robust encryption algorithm, encrypting each character separately can be insecure due to the limited number of possible characters (26 in this case). An efficient attack against this method is a frequency analysis attack, where the attacker could exploit the fact that some letters appear more frequently in a language than others. The attacker could potentially guess the encrypted values of these common characters and use patterns to decrypt the rest of the message.

RSA encryption is one of the oldest and widely used public key encryption algorithms and relies on the difficulty of factoring very large numbers. This difficulty provides the security in RSA; however, when the encryption is done on a small set of possibilities—as is the case with single alphabetic characters—the security can be compromised, making RSA vulnerable in such a scenario.

At the corner store, Nico bought 5 pencils for $0.10 each and 3 pens for $0.50 each. He used t to represent the sales tax, in dollars, that he also paid. He paid a total of $2.12, including tax.

Nico wrote this equation to represent what he paid. What errors, if any, did he make?

5(0.10) + 3(0.50) - t = 2.12
He should have multiplied 0.10 by 3 instead of 5.
He should have multiplied 0.50 by 5 instead of 3.
He should have added t instead of subtracting t.
He should have multiplied by t instead of subtracting t.

Answers

Answer:

C. He should have added t instead of subtracting t.

Step-by-step explanation:

Answer:

c

Step-by-step explanation:

Choose the equation that represents the graph below: Graph of a line passing through points 0 comma 4 and 3 comma 0 y = −three fourthsx + 4 y = −four thirdsx + 4 y = three fourthsx − 4 y = 4 thirdsx − 4

Answers

(0,4),(3,0)
slope = (0 - 4) / (3 - 0) = -4/3

y = mx + b
slope(m) = -4/3
ur y int is when x = 0....so it is 4
and in y = mx + b form, the slope is in the m position and the y int is in the b position
so ur equation is : y = -4/3x + 4 <==

Find the minimum and maximum values of the function subject to the given constraint. (if an answer does not exist, enter dne.) f(x, y) = x2y + x + y, xy = 5

Answers

Via Lagrange multipliers:

[tex]L(x,y,\lambd)=x^2y+x+y+\lambda(xy-5)[/tex]
[tex]L_x=2xy+1+\lambda y=0[/tex]
[tex]L_y=x^2+1+\lambda x=0[/tex]
[tex]L_\lambda=xy-5=0[/tex]

[tex]\underbrace{10}_{2xy}+1+\lambda y=0\implies \lambda=-\dfrac{11}y[/tex]
[tex]xy=5\implies y=\dfrac5x\implies\lambda=-\dfrac{11}5x[/tex]

[tex]\impliesx^2+1+\left(-\dfrac{11}5x\right)x=0\implies x^2=\dfrac56\implies x=\pm\sqrt{\dfrac56}[/tex]
[tex]xy=5\implies y=\pm\sqrt{30}[/tex]

At these points, we get local minima of [tex]f\left(\pm\sqrt{\dfrac56},\pm\sqrt{30}\right)=\pm2\sqrt{30}[/tex].

- - -

Another way to do this is to make [tex]f(x,y)[/tex] a function independent of [tex]y[/tex], which is made possible by the constraint.

[tex]xy=5\implies y=\dfrac5x[/tex]
[tex]\implies f(x,y)=f\left(x,\dfrac5x\right)=F(x)=6x+\dfrac5x[/tex]
[tex]\implies F'(x)=6-\dfrac5{x^2}=0\implies x=\pm\sqrt{\dfrac56}[/tex]

and so on.

Find an equation of the normal line to the parabola y = x2 â 9x + 7 that is parallel to the line x â 7y = 2.

Answers

Please, could you proof read your input before posting a question?    The character  " â " does not belong here.  "x2" should be written as x^2, where the "^" denotes exponentiation.

I'm taking the liberty of correcting your input:  "Find an equation of the normal line to the parabola y = x2 â 9x + 7 that is parallel to the line x â 7y = 2." may be:

Find an equation of the normal line to the parabola y = x^2 -  9x + 7 that is parallel to the line x - 7y = 2.  

How do you find the slope of a normal line to the graph of a given quadratic?  Differentiate    y = x^2 - 9x + 7:     dy/dx = 2x - 9

You can see that this slope varies with x.  You have not named an x-value here, so   I will have to stop   at   dy/dx = 2x - 9.

The slope of a line perpendicular to the tangent line is the negative reciprocal of   the slope of the tangent line, or

-1
-------   which obviously depends upon the x value you choose or are given.
(2x)

Now focus on the given line x - 7y = 2.  Solving for y, 7y =x-2.  The slope of this line is (1/7).  Thus, 

    -1            1
--------- = ----------     Cross-multiplying, -7 = 2x; x = -3.5
    2x            7

So it appears we DO have the x-value at the point of tangency on the curve.

Find the associated y-value by subst. x = -3.5 into the eq'n of the parabola.

Call it Y.

Then the eq'n of the normal line to the parabola that is parallel to x - 7y = 2

is             y-Y = (1/7)(x-[-3.5])
Final answer:

The normal line to the parabola y = x^2 - 9x + 7 that is parallel to the line x - 7y = 2 is y = -7x + 65, which was determined by finding the normal slope and point of tangency using the derivative.

Explanation:

In mathematics, the normal line to a curve at a particular point is the line that is perpendicular to the tangent of the curve at that point. First, it's important to establish that any line parallel to x - 7y = 2 would have the same slope, which in this case is 1/7. To find the normal line, we need a line that is perpendicular to this -- hence, it would have a slope of -7.

Now, to find the point of tangency, you must take the derivative of y = x^2 - 9x + 7, making it 2x - 9. Set this equal to -7 (the slope of the normal line) and solve for x, which comes out to be 8. Substituting x = 8 back into our parabola equation gives us y = -9. Therefore, our point of tangency is (8, -9).

Finally, using the point-slope form of a line formula, we can find our equation of the normal line, which is  y - (-9) = -7*(x - 8), simplifying to y = -7x + 65.

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What is 200 times 180

Answers

Hi there! 200 * 180 is 36,000. You can solve this problem by crossing out the 0's, bringing the down, and multiply 18 * 2 to get 36. The product is 36,000.

Answer:

36000

Step-by-step explanation:

If you multiply 200x180 it equals 36000

A way you can find this out is by writing it down

200

x

180

________

36000

Which of the following expressions is in simplified form?
1n + 2.9n
4w - 5
-2 + 1.4m + 0.5
9j - 3 - j

Answers

The only one that's in simplified form is 4w - 5 since it's the only one out of the four that doesn't have any more like terms.
Hello!

I believe the answer is B. 4w - 5, because B is the most short (or simplified) of all the rest..

Hope this helps! ☺♥

last week, several gas stations in a neighborhood all charged the same price for a gallon of gas.The table below shows how much gas prices have changed from last week to this week.

a. Order the numbers in the table from least to greatest.

b. Which gas station has the cheapest gas this week?

c. Critical Thinking. Which gas station changed their price the least this week?

Gas and Samson. Star
Go. Gas. Gas
-6.6. 5.8. -6 3/4


Corner store. tip top
27/5. shop
-5 5/8

Answers

To compare the numbers, we'd better convert the fractions into decimals. 

–6 3/4 = –6.75
27/5 = 5.4
–5 5/8 = –5.625

Now that the numbers are –6.6, 5.8, –6.75, 5.4 and –5.625.
a) A negative number is always less than a positive number. In addition, a negative with a larger magnitude would be less. Like –4 < –3. So the order from least to greatest is –6.75 < –6.6 < –5.625 < 5.4 < 5.8. In other words, –6 3/4 < –6.6 < –5 5/8 < 27/5 < 5.8.

b) A negative change means that the gas price decreased. The gas station that decreased the gas price the most is the Star gas since the –6 3/4 is the least number in the list.

c) The changes in prices can be compared in relation to each other based on their magnitude, which is the value without the sign. For example, the magnitude of –4 is 4. The magnitudes of the changes in prices are 6.6, 5.8, 6.75, 5.4 and 5.625. So the least change is 5.4, that is, 27/5. So the Corner Store changed the price the least. 

Final answer:

Without the correctly formatted data, we cannot give direct answers. However, the answers would come from ordering the data from least to greatest, identifying the least positive or most negative change as the cheapest gas, and the smallest change as the least change in price.

Explanation:

Unfortunately, the question you provided is a bit unclear because the table is not formatted correctly. However, it's clear that you're asked to analyze a set of data, which refers to changes in gas prices at several gas stations. Usually, to order the numbers from least to greatest, you would list them in ascending numerical order, taking into account whether they are positive or negative, with negative numbers being less than positive numbers. The gas station with the cheapest gas this week would be the one with the least positive change or the greatest negative change. The gas station that changed their price the least would be the gas station with the smallest change in price, whether positive or negative. However, without the correct formatting of data, I am unable to provide specific answers. It's always important to check your data for clarity in order to perform accurate mathematical analyses. These principles of data analysis and number order are crucial skills in your mathematical education.

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If the equation were y=40x+70.What would the x-intercept be? Plz...Help!?!

Answers


[tex]( - \frac{7}{4} .0)[/tex]
the period is a comma

E xex2 + y2 + z2 dv, where e is the portion of the unit ball x2 + y2 + z2 ≤ 1 that lies in the first octant.

Answers

[tex]\displaystyle\iiint_{\mathcal E}xe^{x^2+y^2+z^2}\,\mathrm dV[/tex]
[tex]=\displaystyle\int_{\varphi=0}^{\varphi=\pi/2}\int_{\theta=0}^{\theta=\pi/2}\int_{\rho=0}^{\rho=1}\rho\cos\theta\sin\varphi e^{\rho^2}\rho^2\sin\varphi\,\mathrm d\rho\,\mathrm d\theta\,\mathrm d\varphi[/tex]
[tex]=\displaystyle\left(\int_{\rho=0}^{\rho=1}\rho^3e^{\rho^2}\,\mathrm d\rho\right)\left(\int_{\theta=0}^{\theta=\pi/2}\cos\theta\,\mathrm d\theta\right)\left(\int_{\varphi=0}^{\varphi=\pi/2}\sin^2\varphi\,\mathrm d\varphi\right)=\frac\pi8[/tex]
Final answer:

The question is asking to evaluate the triple integral of a function over a portion of the unit sphere lying in the first octant. It involves the use of multivariable calculus and spherical coordinates

Explanation:

This question is asking to evaluate the triple integral of E xex2 + y2 + z2 dv over the region e, which is the section of the unit sphere x2 + y2 + z2 ≤ 1 within the first octant.  Here, dV is the differential volume element, and x, y, and z are the Cartesian coordinates. As the first octant is defined by x ≥ 0, y ≥ 0, and z ≥ 0, we will only need to consider positive values for these variables.

To evaluate the integral, the formula for the volume of the unit sphere in three dimensions x2 + y2 + z2 should be used. Furthermore, as the integral is taken over the first octant, each variable would be bound between 0 and 1.

It is important to note that this is a multivariable calculus problem and involves the concept of integration in spherical coordinates. This topic is typically covered in a college-level calculus course.

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Owl can clean piglets house in 25 minutes. eeyore can clean piglets house in 40 minutes. how long will it take owl and eeyore to do the job if they work together?

Answers

Let us say that the task of cleaning the house is equal to 1 job. Therefore the rates are:

 

rate of Owl = 1 job / 25 minutes

rate of eeyore = 1 job / 40 minutes

 

So working together, the time is:

(1 / 25) + (1 / 40) = 1 / t

0.065 = 1 / t

t = 15.38 minutes

 

So it takes about 15.38 minutes working together.

Since the ratios for sides of triangles are the same, when the angles are the same, ? have been developed which show these ratios for every angle encountered in a triangle. select one:
a. cos tables
b. sin tables
c. tan tables
d. trigonometric tables

Answers

Presuming that I am reading the question correctly, the answer is D. A trigonometric table would provide all of the ratios of the sides in relationship to the angles. Sin, cos, and tan are just one example of the ratio.

Answer: d. trigonometric tables


Step-by-step explanation:

A trigonometric table would provide all of the ratios of the sides in respect to the angles. Sin, cos, and tan are parts of trigonometric table.

Trigonometry table, tabulated values for some or all of the six trigonometric functions for various angular values.

Since the ratios for sides of triangles are the same, when the angles are the same, trigonometric tables have been developed which show these ratios for every angle encountered in a triangle.

Tuiton at a certain college recently increased from $4000 to $5000. Find the ratio of the increase in price to the original price.

Answers

The increase is $5000-$4000=$1000.  The ratio of this increase to the original price is 

$1000
-------- = 1/4 (no units of measurement here)
$4000

An indoor water park has two giant buckets that slowly fill with 1000 gallons of water before dumping it on the people below. One buckets dumps water every 18 min. The other buckets dumps water every 21min. It is currently 1:15 p.m. and both buckets dumped water 5 minutes ago. Find the next two times that both buckets dump water at the same time

Answers

5 minutes ago of 1:15 pm is 1:10 pm. This is the last time that both buckets dump water together. The least multiple of both 21 and 18 is 126. Therefore, every after 126 minutes they will dump water together. 

   126 minutes is equal to 2 hours and 6 minutes.

(1) Time 1: 

    1:10 pm + 2:06 = 3:16 pm

(2) Time 2:

    3:16 pm + 2:06 = 5:22 pm

Evaluate 3 to the power of 3 + 6 (2 + 3/6)

Answers

if 3 + 6(2 + 3/6) is actually the power, then simplify 3 + 6(2 + 3/6) as a first step.  Must follow Order of Operations rules (PEMDAS):  mult and div BEFORE addition and subtraction. 

Thus, 3 + 6(2 + 3/6)  = 3 + 6 (15/6)
                                   = 3 + 15  =  18.

Then:  3^18 is the answer.  You could expand this if you wanted, but what would be the point of that?

A recipe calls for 1 1/2 cups of flour, 3/4 cup of white sugar, and 1/3 cup of brown sugar. The recipe makes 6 servings.

How many cups of flour are there per serving? Show your work.
---------------------------------------------------------------------------------------------------
How many total cups of sugar (white and brown) are there per serving? Show your work.
---------------------------------------------------------------------------------------------------
Suppose you modify the recipe so that it makes 9 servings. How much more flour do you need for the modified recipe than you need for the original recipe? Show your work.
---------------------------------------------------------------------------------------------------
Answer all 3 questions.

Answers

A recipe calls for 1 1/2 cups of flour, 3/4 cup of white sugar, and 1/3 cup of brown sugar. The recipe makes 6 servings.

How many cups of flour are there per serving? Show your work.

1 1/2 = 3/2

3/2 x 1/6 = 3/12 = 1/4 
answer 1/4 cup of flour per serving

How many total cups of sugar (white and brown) are there per serving? Show your work.

sugar = 3/4 +1/3 = 9/12 + 4/12 = 13/12 (6 servings)

1 serving = 13/12 x 1/6 = 13/72 

answer 
13/72 sugar (white and brown) per serving

Suppose you modify the recipe so that it makes 9 servings.
1/4 cup of flour per serving
so
9 x 1/4 = 9/4 = 2 1/4

answer
2 1/4 cups of flour for 9 servings

A line has a slope of -2/3 and a y-intercept of (0, 3). What is the value of y when x = 4?

Answers

recall the slope-intercept form.

ahemmm so, we know the slope, and we also know the y-intercept, thus the equation of that line is

[tex]\bf y=\stackrel{slope}{-\cfrac{2}{3}}x\stackrel{y-intercept}{+3} \\\\\\ \textit{when x = 4, what is \underline{y}?}\qquad y=-\cfrac{2}{3}(4)+3\implies y=-\cfrac{8}{3}+3 \\\\\\ y=\cfrac{-8+9}{3}\implies y=\cfrac{1}{3}[/tex]

Assume that you select two 3-digit numbers at random from the set of consecutive integers from 000 through 999. The selections are made with replacement and are independent of one another. If the two numbers are the same, you make $700. If they are different, you lose $2. A random variable XX is defined as your gain or loss.

How many different values are possible for the random variable XX

Answers

i could be wrong but i think it is 1998

Answer:

the answer is: 2

Step-by-step explanation:

from 000 to 999 makes a total of 1000 numbers from which we are selecting two numbers with replacement. This means that the possible combinations will be double of 1000.

1000 * 1000 = 1000000

to have the same number twice means that the possible combinations will be only 1000. (As there are only 1000 numbers).

But whether they are same or not there will be only two possible values of XX , 2 dollars or 700 dollars which will be the loss or gain for one trial, as the numbers picked will either be same or different.

Toby, a toy store buyer, ordered 2 gross rubber spiders, 60 teddy bears, and 5 dozen video games. The spiders cost 7 cents each, the bears cost 59.76 dollars per dozen, and the video games were on sale for a special price—12 for 156 dollars. What was the total cost of Toby’s order, in dollars?

Answers

Rubber spider total cost:
7 × 2 gross (1 gross = 144 units)
7 cents x 288 = 2016 cents = $20.16

Total cost of teddy bear:
59.76 x (60÷12) (1 dozen = 12 units)
59.76 x 5 = $298.80

Total cost of video games:
156 x 5 = $780.00

Total spent:
780 + 298.80 + 20.16 = $1098.96

the volume of 10000 drops of liquid is 100 fluid ounces. what is the volume of 10 drops?

Answers

1000/10000=1/10=0.1 fluid ounces


Answer:

0.1 fluid ounces

Step-by-step explanation:

If 10000 drops lof liquid is 100 fluid ounces we can determine the drops of liquid per fluid ounces by dividing the two values:

[tex]100/10000=0.01[/tex]

Therefore 0.01 fluid ounces is equivalent to 1 drop. We have our conversion factor now we can determine the volume by multiplying the conversion factor by the number of drops:

[tex]0.01*10=0.1[/tex]

10 drops is 0.1 fluid ounces

Benny wants to put a rectangular fence in his yard, and he wants the length of the fence to be 5 less feet than twice its width. He also found that every foot of fencing will cost $3.16. The total cost of the fence is C = 3.16(6w - 10), where w is the width of the fence. What does 6w - 10 represent?

Answers

6w-10 represents the total amount of fence will need to complete the rectangle of fence in his yard. The fence will need two lengths and 2 widths to complete the rectangle. If the width is w, and the length is 2w-5, then the total for the rectangle would be w+w+2w-5+2w-5 which simplifies to 6w-10.

brainleiest!!! What is the unit rate for 4543.08 km in 52.4 h? Enter your answer, as a decimal, in the box. km/h

Answers

(52.4) / (4543.08) = 0.0115 hour per kilometer  

(4543.08) / (52.4) = 86.7 km per hour 

Answer:

86.7

Step-by-step explanation:

you divide 4543.08 by 52.4

Other Questions
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