If $100 is interested at 6% compounded:
a-Annually
b-Monthly
What is the amount after 4 years? How much interest is earned?

Answers

Answer 1

To find the simple interest we'll plug it into one of the two available formulas. I will use both formulas so you can determine which is easiest for you, for future problems.

                                     r = I/Pt         or     I = Prt

                                     (the / represents division)

Let's define and plug.

r = the rate (we'll be solving for r)

I = the total interest earned within the time frame ($2)

P= the principal amount ($100)

t = the total time the principal accrued interest. (6 months/ .5years)

**Because this is in a monthly basis, lets change it into a year to make it easier**

we'll just divide 6 months by 12 months.

6 ÷ 12 = 0.5 years

============================================================

Let's use the first formula first. r = I / Pt

r = 2 / 100 (0.5)

100 x 0.5 = 50

We're now left with:            r = 2 / 50

Divide what we have left.

2 ÷ 50 = 0.04

This is our simple interest but we have to convert it into a percentage. To convert the decimal to the percentage, we'll move the decimal two places to the right to  make 4.0.

Therefore, our simple interest would be 4%

==========================================================

let's set up the second formula:  I = Prt

2 = 100 (r) (0.5)

2 = 50 (r)

2 ÷ 50 = 0.04

0.04 in percentage = 4%


Related Questions

Suppose 47% of the population has a college degree. If a random sample of size 460 is selected, what is the probability that the proportion of persons with a college degree will differ from the population proportion by greater than 5%

Answers

Answer:

387287i32

Step-by-step explanation:

i did it

This assignment has a value of 10 points. You will have two (2) questions to answer and one (1) attempt to send this assignment. Refer to the calendar in Blackboard for due dates. Your calendar is available under the Tools menu > Calendar. Once you have built the Excel tables, with all the changes in different tables, and answered all the questions you have to send the work (Excel sheets and answered questions) to the professor using the Attach File function in Black Board to attach your document and send it to the professor. To use the Attach File enter the Course Content in Black Board. Select the Assignment Module 5, attach the file and submit. Solve the following problem and compute the probability of the Binomial and Poisson distributions. What is the probability of finding two defects in a Binomial distribution, with a sample size of 30, and probability of 0.2

Answers

Answer:

0.0337 = 3.37% probability of finding two defects.

Step-by-step explanation:

Binomial probability distribution

The binomial probability is the probability of exactly x successes on n repeated trials, and X can only have two outcomes.

[tex]P(X = x) = C_{n,x}.p^{x}.(1-p)^{n-x}[/tex]

In which [tex]C_{n,x}[/tex] is the number of different combinations of x objects from a set of n elements, given by the following formula.

[tex]C_{n,x} = \frac{n!}{x!(n-x)!}[/tex]

And p is the probability of X happening.

What is the probability of finding two defects in a Binomial distribution, with a sample size of 30, and probability of 0.2?

This is [tex]P(X = 2)[/tex], with [tex]n = 30[/tex] and [tex]p = 0.2[/tex]. So

[tex]P(X = x) = C_{n,x}.p^{x}.(1-p)^{n-x}[/tex]

[tex]P(X = 30) = C_{30,2}.(0.2)^{2}.(0.8)^{28} = 0.0337[/tex]

0.0337 = 3.37% probability of finding two defects.

Find the volume of the cement block in the figure shown.


Please help :)

Answers

9514 1404 393

Answer:

  1240 in³

Step-by-step explanation:

The overall dimensions of the block are ...

  10 in by 11 in by 17 in

The volume of that space is ...

  V = LWH = (10 in)(11 in)(17 in) = 1870 in³

The volume of each of the three identical holes is similarly found:

  V = (10 in)(3 in)(7 in) = 210 in³

Then the volume of the block is the overall volume less the volume of the three holes:

  = 1870 in³ - 3(210 in³) = 1240 in³

Escreva a matriz A = (aij) do tipo 3x4 sabendo que aij = 3i – 2j.

Answers

Answer:

[tex]A = \left[\begin{array}{cccc}1&-1&-3&-5\\4&2&0&-2\\7&5&3&1\end{array}\right][/tex]

Step-by-step explanation:

A = (aij)

i representa a linha e j a coluna.

Tipo 3x4

Isto implica que a matriz tem 3 linhas e 4 colunas.

aij = 3i – 2j.

Primeira linha:

[tex]a_{1,1} = 3(1) - 2(1) = 1[/tex]

[tex]a_{1,2} = 3(1) - 2(2) = -1[/tex]

[tex]a_{1,3} = 3(1) - 2(3) = -3[/tex]

[tex]a_{1,4} = 3(1) - 2(4) = -5[/tex]

Segunda linha:

[tex]a_{2,1} = 3(2) - 2(1) = 4[/tex]

[tex]a_{2,2} = 3(2) - 2(2) = 2[/tex]

[tex]a_{2,3} = 3(2) - 2(3) = 0[/tex]

[tex]a_{2,4} = 3(2) - 2(4) = -2[/tex]

Terceira linha:

[tex]a_{3,1} = 3(3) - 2(1) = 7[/tex]

[tex]a_{3,2} = 3(3) - 2(2) = 5[/tex]

[tex]a_{3,3} = 3(3) - 2(3) = 3[/tex]

[tex]a_{3,4} = 3(3) - 2(4) = 1[/tex]

Matriz:

A matriz é dada por:

[tex]A = \left[\begin{array}{cccc}1&-1&-3&-5\\4&2&0&-2\\7&5&3&1\end{array}\right][/tex]

Help asap!!!!!!
A.
B.
C.
D.

Answers

Answer:

Function has a minimum value

So, f(x)=0 and f(4)=-3

f(x)= - 1/2x^2+4x-11

f(4)=-3 and f(x)=-x+4

f(4)=0

OAmalOHopeO

Given the functions below, find f(x)+g(x)

CHECK MY ANSWERS PLEASE

Answers

The answer is (a)..........

Write the quadratic form in the form specified then give the vertex of its graph.

Answers

Answer:

Equation: f(x) = 2(x + 5)^2 + 2

Vertex: (-5, 2)

Step-by-step explanation:

The form the question wants us to write the quadratic function in is called "vertex form":

f(x) = a (x - h)^2 + k

a = the a in a standard quadratic equation (y = ax^2 + bx + c) or the coefficient of the x^2

h = x coordinate of the vertex

k = y coordinate of the vertex

To find the vertex, we are going to use the quadratic equation given:

2x^2 + 20x + 52

Comparing it to the standard quadratic equation (y = ax^2 + bx + c),

a = 2

b = 20

c = 52

Now we can start finding our vertex.

To find h, we are going to use this formula:

-b / 2a

We already know b = 20 & a = 2, so we can just substitute that into our formula:

- (20) / 2*2

Which equals:

-20/4 = -5

So h (or the x coordinate of the vertex) is equal to -5

Next we will find k, or the y coordinate of the vertex.

To do that, we are going to plug in -5 into 2x^2 + 20x + 52:

2(-5)^2 + 20(-5) + 52

2(25) -100 + 52

50 - 100 + 52

-50 + 52

2

k (or the y coordinate of the vertex) is equal to 2

The vertex is (-5, 2)

However, we still need to find our equation in vertex form.

We know a = 2, h = -5, & k = 2. Now we substitute these into our vertex form equation:

a(x - h)^2 + k

(2)(x - (-5))^2 + (2)

2(x + 5)^2 + 2

(Remember that the -5 cancels with the - in front of it, making it a positive 5)

The equation is f(x) = 2(x + 5)^2 + 2

Hope it helps (●'◡'●)

Sebastian is going to choose the color pattern

Answers

Answer:

use blue red blue red

Step-by-step explanation:

Find the circumference of a circle in terms of u with a radius of 10 ft.
100n ft
10 ft
5 ft
62.87 ft
20 ft

Answers

Answer:

[tex]2 \times \frac{22}{7} \times 10 = 62.87 [/tex]

A 19 in. monitor has a length of 16 in. What is its width?

10.25 in.
14.64 in.
16.51 in.
18.91 in.

Answers

This makes no sense but probably 14.64

Ben starts walking along a path at 3 mi/h. One and a half hours after Ben leaves, his sister Amanda begins jogging along the same path at 7 mi/h. How long (in hours) will it be before Amanda catches up to Ben?



Enter the exact answer.
Hint: The distance formula is that distance = rate * time, so for example in one and a half hours, Ben has walked 3 * 1.5 miles.

Amanda catches up to Ben in ____________ hours.

Answers

Answer:

1.125 hours

Step-by-step explanation:

Given :

Ben's speed = 3 mi/hr

Time before Amanda starts = 1.5 hours

Amanda's speed = 7 mi/hr

Time before Amanda catches up with Ben

Recall :

Distance = speed * time

Distance already covered by Ben before Amanda starts :

(3 * 1.5) = 4.5

Hence, we can setup the equation :

Ben's distance = Amanda's distance

Let time taken = x

4.5 + 3x = 7x

4.5 = 7x - 3x

4.5 = 4x

x = 4.5 / 4

x = 1.125 hours

1.125 * 60 = 67. 5 minutes

(7+3i)-(3-9i)complex numbers

Answers

Answer:

C

Step-by-step explanation:

For this, you want to treat i like any other variable, and combine like terms. However you need to keep in mind that there is a negative sign before the second set of parentheses. This means everything inside it should have a negative before it. So we can write it like this:

(7 + 3i) - (3 - 9i)

7 + 3i -3 +9i

4 + 12i

Hope that helps!

You have been doing research for your statistics class on the prevalence of severe binge drinking among teens. You have decided to use 2011 Monitoring the Future (MTF) data that have a scale (from 0 to 14) measuring the number of times teens drank 10 or more alcoholic beverages in a single sitting in the past 2 weeks.
a. According to 2011 MTF data, the average severe binge drinking score, for this sample of 914 teens, is 1.27, with a standard deviation of 0.80. Construct the 95% confidence interval for the true averse severe binge drinking score.
b. On of your classmates, who claims to be good at statistics, complains about your confidence interval calculation. She or he asserts that the severe binge drinking scores are not normally distributed, which in turn makes the confidence interval calculation meaningless. Assume that she or he is correct about the distribution of severe binge drinking scores. Does that imply that the calculation of a confidence interval is not appropriate? Why or why not?

Answers

Answer:

(1.218 ; 1.322)

the confidence interval is appropriate

Step-by-step explanation:

The confidence interval :

Mean ± margin of error

Sample mean = 1.27

Sample standard deviation, s = 0.80

Sample size, n = 914

Since we are using tbe sample standard deviation, we use the T table ;

Margin of Error = Tcritical * s/√n

Tcritical at 95% ; df = 914 - 1 = 913

Tcritical(0.05, 913) = 1.96

Margin of Error = 1.96 * 0.80/√914 = 0.05186

Mean ± margin of error

1.27 ± 0.05186

Lower boundary = 1.27 - 0.05186 = 1.218

Upper boundary = 1.27 + 0.05186 = 1.322

(1.218 ; 1.322)

According to the central limit theorem, sample means will approach a normal distribution as the sample size increases. Hence, the confidence interval is valid, the sample size of 914 gave a critical value at 0.05 which is only marginally different from that will obtained using a normal distribution table. Hence, the confidence interval is appropriate

SOMEONE HELP PLEASE! I don’t know how to solve this problem nor where to start? Can some please help me out and explain how you got the answer please. Thank you for your time.

Answers

That is the answer to your question

I need help solving this problem. Thanks

Answers

Answer:

Step-by-step explanation:

they say by noon 4 inches of rain has fallen,    then the say that it's falling at  1/4 inch per hour

f(x) = 1/4x +4

where x is in hours, and  f(x)  represents the linear graph of the amount of rain that has fallen after noon   :)

so by 2:30   or  2.5 hours....  then

f(2.5) = 1/4x +4

y = 1/4 (2.5) +4  ( i moved to the y  b/c now there is an answer)

y =[tex]\frac{5}{8}[/tex] + 4

y =4[tex]\frac{5}{8}[/tex]   inches of rain

Answer:

a) y = 1/4x + 4

b) 4.625 inches

Step-by-step explanation:

a) y(0) = 4 inches

slope = 1/4 rate

y = 1/4x + 4

b) 12:00pm (noon) to 2:30pm = 2 hours 30 mins = 2.5 hours

y = 1/4x + 4

y = (1/4)(2.5) + 4

y = 0.625 + 4

y = 4.625 inches

Assuming the probability of a single sample testing positive is 0.15​, find the probability of a positive result for two samples combined into one mixture. Is the probability low enough so that further testing of the individual samples is rarely​ necessary?

Answers

Answer:

[tex]P(Positive\ Mixture) = 0.2775[/tex]

The probability is not low

Step-by-step explanation:

Given

[tex]P(Single\ Positive) = 0.15[/tex]

[tex]n = 2[/tex]

Required

[tex]P(Positive\ Mixture)[/tex]

First, we calculate the probability of single negative using the complement rule

[tex]P(Single\ Negative) = 1 - P(Single\ Positive)[/tex]

[tex]P(Single\ Negative) = 1 - 0.15[/tex]

[tex]P(Single\ Negative) = 0.85[/tex]

[tex]P(Positive\ Mixture)[/tex] is calculated using:

[tex]P(Positive\ Mixture) = 1 - P(All\ Negative)[/tex] ---- i.e. complement rule

So, we have:

[tex]P(Positive\ Mixture) = 1 - 0.85^2[/tex]

[tex]P(Positive\ Mixture) = 1 - 0.7225[/tex]

[tex]P(Positive\ Mixture) = 0.2775[/tex]

Probabilities less than 0.05 are considered low.

So, we can consider that the probability is not low because 0.2775 > 0.05

4) Write the equation of the line passing
through (-5, 6 ) and has slope equal to 4.

Answers

Answer:

y = 4x + 26

Step-by-step explanation:

y = mx + b

The slope (m) is equal to 4.

y = 4x + b

To find the y-intercept (b), plug in the point given.

6 = 4(-5) + b

6 = -20 + b

26 = b

The answer is y = 4x + 26.

Answer:

The equation of the line passing through (-5, 6) with a slope of 4 is

y = 4x + 26

Step-by-step explanation:

An equation of a line would always have the following structure...

y = mx + b

In this equation, "y" is the y coordinate of the point, "x" is the x coordinate of the point, "m" is the slope, and "b" is the y coordinate of the y-intercept. We know all the values except "b", but we can find the value of "b" by substituting all the other values into the equation...

y = mx + b

6 = 4(-5) + b

6 = b - 20

b = 6 + 20

b = 26

Therefore, the equation of the line passing through (-5, 6) with a slope of 4 is y = 4x + 26

Which of the following is a secant on the circle below?
Н
G
13-
125
K
o
A.
B. JK
C. HG
D. K

Answers

Answer:

D. KI

Step-by-step explanation:

KI intersects a minimum of two points meaning it is the definition of a secant.

4+4+8+8+422+33+65520222222+222

Answers

Answer:

4+4+8+8+422+33+65520222222+222= 65,520,222,923

emir is standing in a treehouse in looking down at a swing set in the yard next-door. The angle of depression from emir’s Highline to the swingset is 31.43°, and emir is 11 feet from the ground. How many feet is the base of the tree from the swing set

Answers

Answer:

18 feet

Step-by-step explanation:

The question is  illustrated using the attached image.

From the image, we have:

[tex]\theta = 31.43^o[/tex] --- angle of depression

[tex]h = 11ft[/tex] --- Emir's height

Required

The distance from the base of the tree (x)

From the attached triangle, we have:

[tex]\tan(90 - \theta) = \frac{Opposite}{Adjacent}[/tex]

This gives:

[tex]\tan(90 - 31.43) = \frac{x}{11}[/tex]

[tex]\tan(58.57) = \frac{x}{11}[/tex]

Make x the subject

[tex]x = 11 * \tan(58.57)[/tex]

[tex]x = 18.00[/tex]

Answer:

18

Step-by-step explanation:

took the test

The principle of redundancy is used when system reliability is improved through redundant or backup components. Assume that a​ student's alarm clock has a 15.3​% daily failure rate. Complete parts​ (a) through​ (d) below. a. What is the probability that the​ student's alarm clock will not work on the morning of an important final​ exam?

Answers

Answer:

[tex]Pr = 0.153[/tex]

Step-by-step explanation:

Given

[tex]p = 15.3\%[/tex]

Required

Probability of alarm not working

[tex]p = 15.3\%[/tex] implies that the alarm has a probability of not working on a given day.

So, the probability that the alarm will not work on an exam date is:

[tex]Pr = 15.3\%[/tex]

Express as decimal

[tex]Pr = 0.153[/tex]

The total sound power, in decibels, from x objects each producing 50 decibels of sound power is given by the function f(x) = 50 + 10 log x. Suppose each of the x objects increases its sound power by 10 decibels, so that the new total sound power, in decibels, is given by the function g(x) = f(x) + 10. Which shows the graphs of f(x) and g(x)? On a coordinate plane y = g (x) starts at (0, 60) and curves up through (10, 70). Y = f (x) starts at (0, 50) and curves up through (10, 60). On a coordinate plane y = f (x) starts at (0, 50) and curves up through (10, 60). y = g (x) starts at (0, 40) and curves up through (10, 50). On a coordinate plane, y = f (x) starts at (0, 50) and curves up through (10, 60). Y = g (x) starts at (10, 50) and curves up through (20, 60). On a coordinate plane, y = g (x) starts at (negative 10, 50) and curves up through (0, 60). Y = f (x) starts at (0, 50) and curves up through (10, 60). Mark this and return

Answers

Answer:

Graph A

Step-by-step explanation:

correct answer on edge :)

The statement that represents the graphs of the functions f(x) and g(x) : On a coordinate plane y = g (x) starts at (0, 60) and curves up through (10, 70). Y = f (x) starts at (0, 50) and curves up through (10, 60).

What is a function?"It defines a relation between input and output values.""In function, for each input there is exactly one output."

For given question,

The total sound power, in decibels, from x objects each producing 50 decibels of sound power is given by the function f(x) = 50 + 10 log x.

If each of the x objects increases its sound power by 10 decibels, then the new total sound power, in decibels, is given by the function

g(x) = f(x) + 10.

The graph of the function f(x) would starts at (0, 50)

For x = 10 the value of the function f(x) would be,

f(10) = 50 + 10 log (10)

f(10) = 50 + 10 (1)

f(10) = 60

This means, the graph of the function f(x) passes though point (10, 60)

Also, the graph of the function g(x) would starts at (0, 60)

For x = 10 the value of the function g(x) would be,

g(10) = f(10) + 10

g(10) = 60 + 10

g(10) = 70

This means, the graph of the function g(x) passes though point (10, 70)

Therefore, on a coordinate plane y = g (x) starts at (0, 60) and curves up through (10, 70). Y = f (x) starts at (0, 50) and curves up through (10, 60).

Learn more about the graph of a function here:

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Please Help NO LINKS

Suppose that
R
is the finite region bounded by
f
(
x
)
=
4

x
and
g
(
x
)
=
x
.

Find the exact value of the volume of the object we obtain when rotating
R
about the
x
-axis.

V
=

Find the exact value of the volume of the object we obtain when rotating
R
about the
y
-axis.

V
=

Answers

Answer:

Part A)

2048π/3 cubic units.

Part B)

8192π/15 units.

Step-by-step explanation:

We are given that R is the finite region bounded by the graphs of functions:

[tex]f(x)=4\sqrt{x}\text{ and } g(x)=x[/tex]

Part A)

We want to find the volume of the solid of revolution obtained when rotating R about the x-axis.

We can use the washer method, given by:

[tex]\displaystyle \pi\int_a^b[R(x)]^2-[r(x)]^2\, dx[/tex]

Where R is the outer radius and r is the inner radius.

Find the points of intersection of the two graphs:

[tex]\displaystyle \begin{aligned} 4\sqrt{x} & = x \\ 16x&= x^2 \\ x^2-16x&= 0 \\ x(x-16) & = 0 \\ x&=0 \text{ and } x=16\end{aligned}[/tex]

Hence, our limits of integration is from x = 0 to x = 16.

Since 4√xx for all values of x between [0, 16], the outer radius R is f(x) and the inner radius r is g(x). Substitute:

[tex]\displaystyle V=\pi\int_0^{16}(4\sqrt{x})^2-(x)^2\, dx[/tex]

Evaluate:

[tex]\displaystyle \begin{aligned} \displaystyle V&=\pi\int_0^{16}(4\sqrt{x})^2-(x)^2\, dx \\\\ &=\pi\int_0^{16} 16x-x^2\, dx \\\\ &=\pi\left(8x^2-\frac{1}{3}x^3\Big|_{0}^{16}\right)\\\\ &=\frac{2048\pi}{3}\text{ units}^3 \end{aligned}[/tex]

The volume is 2048π/3 cubic units.

Part B)

We want to find the volume of the solid of revolution obtained when rotating R about the y-axis.

First, rewrite each function in terms of y:

[tex]\displaystyle f(y) = \frac{y^2}{16}\text{ and } g(y) = y[/tex]

Solving for the intersection yields y = 0 and y = 16. So, our limits of integration are from y = 0 to y = 16.

The washer method for revolving about the y-axis is given by:

[tex]\displaystyle V=\pi\int_{a}^{b}[R(y)]^2-[r(y)]^2\, dy[/tex]

Since g(y) ≥ f(y) for all y in the interval [0, 16], our outer radius R is g(y) and our inner radius r is f(y). Substitute and evaluate:

[tex]\displaystyle \begin{aligned} \displaystyle V&=\pi\int_{a}^{b}[R(y)]^2-[r(y)]^2\, dy \\\\ &=\pi\int_{0}^{16} (y)^2- \left(\frac{y^2}{16}\right)^2\, dy\\\\ &=\pi\int_0^{16} y^2 - \frac{y^4}{256} \, dy \\\\ &=\pi\left(\frac{1}{3}y^3-\frac{1}{1280}y^5\Bigg|_{0}^{16}\right)\\\\ &=\frac{8192\pi}{15}\text{ units}^3\end{aligned}[/tex]

The volume is 8192π/15 cubic units.

help i’ll give brainliest please hurry

Answers

oceans crust inner outer mantle

Which of the following is a like radical to cube rt of 7x

Answers

Answer:

[tex]\sqrt[3]{7x}[/tex]

Step-by-step explanation:

Given

[tex]7x[/tex]

Required

The radical statement

Cube root is represented as:

[tex]\sqrt[3]{}[/tex]

Considering [tex]7x[/tex], the expression is:

[tex]\sqrt[3]{7x}[/tex]

What iis 155 plus 33 minus 4 divided by 2

Answers

Answer:

155+33-4÷2155+33-2188-2186

hope it is helpful to you

The simplified form of statement 155 plus 33 minus 4 divided by 2 is

186.

What is a numerical expression?

A numerical expression is a mathematical statement written in the form of numbers and unknown variables. We can form numerical expressions from statements.

Addition is also known as the sum, subtraction is also known as the difference, multiplication is also known as the product, and division is also known as the factor.

The given statement is 155 plus 33 minus 4 divided by 2 which can be numerically expressed as,

155 + 33 - 4 ÷ 2.

PEMDAS rule states the correct order of simplifying an expression is as follows, Parenthesis, exponents, multiplications, divisions, additions, and, subtractions.

155 + 33 - 2.

= 188 - 2.

= 186.

learn more about numerical expressions here :

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Today, 11:50
Sawing and cutting. Level
Arjun cut a loaf of bread and made
sandwiches. How many sandwiches did he
make if he made 10 cuts?

Answers

Answer:

5 sandwiches he made in bread

the answer is 5 sandwiches

Your grandma recently moved to Hawaii (Hawaiian Standard Time Zone). You always call her at 8:00pm on her birthday (November 6th). You are at home in Southern California. What time do you need to call her to reach her at 8:00pm Hawaiian Time

Answers

2 am bc est is 6 hours ahead of hawaii

At a local university the students have been overdosing on caffeine to help them study for exams. However, many students have been getting quite sick from taking too much coffee and cola.
A. How many cups of coffee would be too much and at the dangerous level (3.00 g)? You know that coffee contains 21.5 mg caffeince per ounce and a cup is 8 oz.
B. How many cans of cola would be too much and at the dangerous level? You know that cola contains 4.20 mg per ounce and a soft drink can contain 12.0 oz.

Answers

Answer:

A) Hence, the number of coffee cups that are risky = 17.4 Cups.

B) Here, the number of coffee cups that are risky = 59.5 Colas.

Step-by-step explanation:

A)

In 1 cup coffee  =[tex]8\times21.5mg= 172.0 mg[/tex]

Hence one cup of coffee contains 172 mg of caffeine. The risky level is 3000mg.

Therefore, the number of coffee cups that are risky

                                                         [tex]= 3000/172\\ \\=17.4 cups[/tex]

Here, the number of coffee cups that are risky = 17.4 cups.

B)

[tex]1 cola=12\times4.2mg\\\\ = 50.4mg / day[/tex]

Hence, one can cola contains 50.4 mg of caffeine.

The dangerous level is 3000 mg.

Therefore, the number of cola cans that are risky [tex]=3000/50.4= 59.5[/tex] cola is risky.

Quadrilateral A'B'C'D'A

B

C

D

A, prime, B, prime, C, prime, D, prime is the result of dilating quadrilateral ABCDABCDA, B, C, D about point AAA by a scale factor of \dfrac{1}{2}
2
1

start fraction, 1, divided by, 2, end fraction.

Answers

Answer:

[tex]A' = (2,0)[/tex]

Step-by-step explanation:

Given

See attachment for ABCD

[tex]k = \frac{1}{2}[/tex] --- the scale factor

Required

The coordinates of A'

From the attachment, we have:

[tex]A = (4,0)[/tex]

So:

[tex]A' = k * A[/tex]

[tex]A' = \frac{1}{2} * (4,0)[/tex]

[tex]A' = (2,0)[/tex]

Answer:

on khan, both are false

Step-by-step explanation:

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