harlyne deposited $3400 into a savings account that has an annual simple interest rate of 0.2%. Find the amount in the savings account after each number of years.

2 years $

5 years $

8 years $

Answers

Answer 1

The simple interest after 2, 5 and 8 years on a principal of $3400 at 0.2% are $3413.6, $3434 and $3454.4 respectively

SIMPLE INTEREST

Simple interest is a quick and easy method to calculate interest on the money, in the simple interest method interest always applies to the original principal amount, with the same rate of interest for every time cycle.

Simple interest is calculated with the following formula: S.I. = P × R × T, where P = Principal, R = Rate of Interest in % per annum, and T = Time, usually calculated as the number of years. The rate of interest is in percentage r(%) and is to be written as r/100.

Principal: The principal is the amount that initially borrowed from the bank or invested. The principal is denoted by P.Rate: Rate is the rate of interest at which the principal amount is given to someone for a certain time, the rate of interest can be 5%, 10%, or 13%, etc. The rate of interest is denoted by R.Time: Time is the duration for which the principal amount is given to someone. Time is denoted by T.Amount: When a person takes a loan from a bank, he/she has to return the principal borrowed plus the interest amount, and this total returned is called Amount.

Using the data given;

S.I = P × R × T

When T = 2 years

S.I = 3400 * 0.002 * 2

S.I = 13.6

The amount after 2 years = 3400 + 13. 6 = $3413.6

When T = 5 years

S.I = 3400 * 0.002 * 5

S.I = 34

The amount after 5 years = 34 + 3400 = $3434

When T = 8 years

S.I = $3454.4

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Related Questions

Convert the angle 225° from degrees to radians. Enter your answer in terms of π.

Answers

Remember that:

[tex]\pi\text{ rad}=180^{\circ}[/tex]

Dividing both sides by 180° we get:

[tex]\frac{\pi\text{ rad}}{180^{\circ}}=1[/tex]

Which we can use as conversion factor to convert degrees to radians.

For an angle of 225°:

[tex]225^{\circ}=\frac{\pi\text{ rad}}{180^{\circ}}=\frac{225}{180}\cdot\pi\text{ rad}=\frac{5}{4}\cdot\pi\text{ rad}[/tex]

Therefore, in terms of π:

[tex]225^{\circ}=\frac{5}{4}\pi\text{ rad}[/tex]

AC, DF, and GI are parallel. Use the figure to complete the proportion.JFFE?DE

Answers

Given that AC, DF, and GI are parallel, we can see that line JH bisects angle J. This means that triangles formed with the parallel lines are similar. Considering triangle JDF,

JF corresponds to JD

FE corresponds to DE

Thus, the ratios are

JF/FE = JD/DE

Sphere 6.2 in diameter

Answers

ANSWER:

128.84 cubic inches.

STEP-BY-STEP EXPLANATION:

We have that the volume of a sphere is given by the following equation:

[tex]V=\frac{4}{3}\cdot\pi\cdot r^3[/tex]

The radius equals half the diameter, therefore we can calculate the radius as follows:

[tex]\begin{gathered} r=\frac{d}{2}=\frac{6.2}{2} \\ r=3.1 \\ \text{replacing and we calculate the volume:} \\ V=\frac{4}{3}\cdot\frac{22}{7}\cdot3.1^3 \\ V=128.84 \end{gathered}[/tex]

The volume of the sphere with the diameter of 6.2 is 128.84 cubic inches.

Cecily's teacher held a raffle. To win the raffle, a student has to pick a paper scroll with an integer written on it. The chart shows the scrolls picked by Cecily and her friends. Name Paper Scroll Cecily 6.7 Marty -37 Jon 7/ 9 Fiona 3 1/3who picked the winning scroll a. Cecily picked the winning scrollb.Marty picked the winning Scrollc.jon picked the winning scrolld. fiona picked the winning scroll

Answers

Answer:

Note:

Integers are whole numbers.

They include 0, negative whole numbers, and positive whole numbers

Since the condition to win the rafle is to pick an interger, let us consider the number picked by each of the students and see if it is an integer or not.

Cecily picked 6.7

This is a decimal number, it is not an integer

Marty picked -37

This is an integer, since it is not a decimal and does not have a fraction component

Jon picked 7/9

This is a proper fraction, and it is not an integer

Fiona picked 3 1/3

This is a mixed fraction, it is not an integer.

The only student that picked an integer number is Marty, hence, she is the winner of the raffle.

complete the flow proof . complete parts a. through d.

Answers

KS is common in both the triangles

so, to complete SSS rule KS = KS will be the answer.

so the answer is b

Solve the system using graphing, substitution or elimination. If needed round soulutions to the nearest tenth

Answers

Given

The system of equations,

[tex]\begin{gathered} 9x+y=45\text{ \_\_\_\_\_\lparen1\rparen} \\ x^3-3x^2-25x+93=y\text{ \_\_\_\_\_\_\lparen2\rparen} \end{gathered}[/tex]

To find the solution.

Explanation:

It is given that,

[tex]\begin{gathered} 9x+y=45\text{ \_\_\_\_\_\lparen1\rparen} \\ x^3-3x^2-25x+93=y\text{ \_\_\_\_\_\_\lparen2\rparen} \end{gathered}[/tex]

From (1),

[tex]y=45-9x[/tex]

Substitute y in (2).

Then,

[tex]\begin{gathered} x^3-3x^2-25x+93=45-9x \\ x^3-3x^2-25x+9x+93-45=0 \\ x^3-3x^2-16x+48=0 \\ x^2(x-3)-16(x-3)=0 \\ (x-3)(x^2-16)=0 \\ (x-3)(x^2-4^2)=0 \\ (x-3)(x-4)(x+4)=0 \end{gathered}[/tex]

That implies,

[tex]\begin{gathered} x-3=0,x-4=0,x+4=0 \\ \text{ }x=3,\text{ }x=4,\text{ }x=-4 \end{gathered}[/tex]

Therefore, for x=3,

[tex]\begin{gathered} y=45-9\times3 \\ =45-27 \\ =18 \end{gathered}[/tex]

For x=4,

[tex]\begin{gathered} y=45-9\times4 \\ =45-36 \\ =9 \end{gathered}[/tex]

For x=-4,

[tex]\begin{gathered} y=45-(9\times-4) \\ =45+36 \\ =81 \end{gathered}[/tex]

Hence, the solution set is (3,18), (4,9), (-4,81).

Mackenzie has a bag that contains 6 red marbles, 4 blue marbles, and 14yellow marbles. If she chooses one marble from the bag, what is theprobability that the marble is not yellow?O A. 7/ 금B.LINdC.soOD.

Answers

Answer:

Probability that the marble is not yellow = 5/12

Explanations:

Number of red marbles, N(Red) = 6

Number of blue marbles, N(Blue) = 4

Number of yellow maebles, N(Yellow) = 14

Total number of marbles, N(Total) = N(Red) + N(Blue) + N(Yellow)

N(Total) = 6 + 4 + 14

N(Total) = 24

Probability that the marble chosen is yellow, P(yellow) = N(yellow) / N(Total)

P(yellow) = 14/24

P(yellow) = 7/12

P(yellow) + P(not yellow) = 1

P(not yellow) = 1 - P(yellow)

P(not yellow) = 1 - 7/12

P(not yellow) = 5/12

Probability that the marble is not yellow = 5/12

Find the diameter of the circle.The image shows a circle with radius 9 centimeters.The diameter of the circle is _______ centimeters.The solution is _______

Answers

The diameter of the circle is given as

[tex]\begin{gathered} \text{diameter}=2\times radius\text{ of the circle} \\ d=2r \end{gathered}[/tex]

The given radius is

[tex]=9\operatorname{cm}[/tex]

Therefore, the diameter will be

[tex]\begin{gathered} \text{diameter =2}\times9\operatorname{cm} \\ \text{diameter =18cm} \end{gathered}[/tex]

Hence,

The diameter of the circle =18 centimeters

The table shows values for a linear function, f(x). What is an equation for f(x)?

Answers

Given a table that shows values for a linear function, f(x). we are asked to determine the equation of f(x).

Table:

x f(x)

-1 -8

3 -5

7 2

11 1

First, let us consider the lines of the equation as:

f(x) = ax + b

When x = -1 f(x) = -8

f(-1) = a(-1) + b

-8 = -a + b ------------------ eqn I

When x = 3 f(x) = 5

f(3) = a(3) + b

-5 = 3a + b ------------------- eqn II

subtract eqn I from eqn II:

-5 - (-8) = (3a + b) - (-a + b)

-5 + 8 = 3a + b + a - b

3 = 4a (-b and +b cancels out).

divide both sides by 4:

a = 3/4

Let's put the value of a = 3/4 into equation I

-8 = -a + b

-8 = -3/4 + b

make b the subject of formula:

b = -3/4 + 8

b = -32 + 3

4

b = -29/4

Let's now place the values of a an b into the lines equation:

recall the lines equation is :

f(x) = ax + b

f(x) = 3/4 x - 29/4.

19.Solve the inequality. Express your answer in the form of a graph and in interval notation. (x-3) / (x+6) ≤ 0

Answers

The inequality is given as,

[tex]\frac{x-3}{x+6}\leq0[/tex]

Note that the denominator can never be zero otherwise the rational function would become indeterminate. So we have to exclude the value at which the denominator,

[tex]\begin{gathered} x+6=0 \\ x=-6 \end{gathered}[/tex]

So the function is not defined at x = - 6.

Consider that the division of the numbers can be non-positive, only if exactly one of the numbers is non-positive.

So we have to obtain the interval in which one of the factors is positive and the other is negative.

CASE-1: When the numerator is positive and the denominator is negative,

1) What is the remainder when 3x3 - 4x2 - 14x + 3 is divided by3x+5?A)A.43B)wiu0WI)D)IM

Answers

SOLUTION

The given polynomail is

[tex]3x^3-4x^2-14x+3[/tex]

To be divided by

[tex]3x+5[/tex]

Since the question requires to find the remainder

Then following remainder theorem

Set 3x+5 to zero and solve for x

[tex]\begin{gathered} 3x+5=0 \\ x=-\frac{5}{3} \end{gathered}[/tex]

Substitute x=-5/3 into the given polynomial to get the remainder

[tex]\begin{gathered} 3(-\frac{5}{3})^3-4(-\frac{5}{3})^2-14(-\frac{5}{3})+3 \\ =3(-\frac{125}{27})-4(\frac{25}{9})+14(\frac{5}{3})+3 \\ =-\frac{125}{9}-\frac{100}{9}+\frac{70}{3}+3 \\ =\frac{-125-100+210+27}{9} \\ =\frac{12}{9} \\ =\frac{4}{3} \end{gathered}[/tex]

Therefore, the remainder is

[tex]\frac{4}{3}[/tex]

Students are asked to add one tenth and 0.1. Several different answers were submitted: 1.1, 0.11, 0.2, 0.21, and 10.1. For each response, write a decimal number sentence that would produce that answer.​

Answers

The wording for the decimal will be:

1.1 = one point one

0.11 = zero point eleven

0.2 = zero point two

0.21 = zero point two one

10.1 = ten point one

How to explain the decimal?

It is important to note that a decimal simply means the number that's made of a whole number and a fraction.

From example 10.1 in wordings will be ten point one. In this case, the students are asked to add one tenth and 0.1. The decimals have been given in words above.

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What is -1.47 rounded to four decimal places as needed?

Answers

Given the negative number

[tex]-1.47[/tex]

Four decimal places implies there should be four digits after the decimal point. in the absence of no digit, add zero to complete the number of required decimal place. To round the number above to four decimal places, we will have

[tex]-1.4700[/tex]

Hence, -1.47 rounded to four decimal places is -1.4700

what digit is in the thousands place 506,234

Answers

The thousands place is corresponding to the digit that if fourth from the unit.

So the digit in the thousands place of 506,234 is 6.

Function gis represented by the equation.g(x)=9(1/3)^x-4Which statement correctly compares the two functions?

Answers

So,

As you can see, the function g:

[tex]g(x)=9(\frac{1}{3})^x-4[/tex]

Has the same behavior of the graph above.

That's because the rate (1/3) is less than 1, so the graph will decay.

The y- intercept of the function g is obtained when we make x=0:

[tex]\begin{gathered} g(0)=9(\frac{1}{3})^0-4 \\ g(0)=9-4 \\ g(0)=5 \end{gathered}[/tex]

If we compare, both y-intercepts seem to be different.

Therefore,

Which expressions are equivalent to log_4 (1/4 x2)

Answers

Answer:

The expression equivalent to the given logarithm is:

[tex]2\log _4(\frac{x}{2})[/tex]

Explanation:

We want to know which expressions are equivalent to

[tex]\log _4(\frac{1}{4}x^2)[/tex]

We have:

[tex]\begin{gathered} \log _4(\frac{x}{2})^2 \\ \\ =2\log _4(\frac{x}{2}) \end{gathered}[/tex]

Suppose you go to work for a company that pays one penny on the first day, 2 cents on the second day, 4 cents on the third day and so on.

Hint: use an= a1 (r)^n-1 and Sn= a1 (1-r^n) / 1 - r

A. If the daily wage keeps doubling, what would your income be on day 31? Give your answer in dollars NOT pennies.

Income on day 31 = $ __________

B. If the daily wage keeps doubling, what will your total income be for working 31 days? Give your answer in dollars NOT pennies.

Total Income for working 31 days = $ _________

Answers

The amount earned, calculated using the formula for geometric progressions are as follows;

(A) The income on day 31 =$1,073,741,824

(B) Total income for 31 working days = $2,147,483,647

What is a geometric progression?

A geometric progression is one in which each subsequent term is a constant multiple of the previous  term

(A) The function that indicates the amount earned on the nth day is the formula for a geometric progression , which can be presented as follows;

[tex]a_n = a_1\cdot r^{n-1}[/tex]

The sum is presented as follows;

[tex]S_n =a_1\cdot \dfrac{1 - r^n}{1 - r}[/tex]

Therefore;

The common ratio, r = 2

The first term, a₁ = 1

The amount received on day 31 is therefore;

[tex]a_{31} = 1\times 2^{31-1} = 1,073,741,824[/tex]

Income on day 31 = $1,073,741,824

(B) The total income in 31 days is therefore;

[tex]S_{31} =a_1\cdot \dfrac{2^{31} - 1}{2- 1}== 2,147,483,647[/tex]

The total income in 31 working days = $2,147,183,647

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Sample proportion of .14 and standard deviation of.02, use empirical rule to construct a 95% confidence interval

Answers

The empirical rule states that 65% of the data under the normal curve is within 1 standard deviation of the mean, 95% of the data is within 2 standard deviations of the mean, and 99% is within 3 standard deviations of the mean.

The approximation to the distribution of the sample proportion has the following shape:

[tex]\hat{p}\approx(p;\frac{p(1-p)}{n})[/tex]

The mean of the distribution is the sample proportion: μ= p

The standard deviation of the distribution is the square root of the variance

σ=√[p(1-p)/n]

For the given distribution:

μ= 0.14

σ= 0.02

95% of the distribution is μ ± 2σ

Upper bound:

[tex]\mu+2\sigma=0.14+2\cdot0.02=0.18[/tex]

Lower bound:

[tex]\mu-2\sigma=0.14-2\cdot0.02=0.10[/tex]

The 95% confidence interval is [0.10;0.18]

A Nintendo Switch handheld game has a screen that is 4 inches tall and 9.4 inches long, what is the diagonal distance across the screen? A. 13.4 inchesB. 10.22 inchesC. 9.4 inchesD. None of the above

Answers

EXPLANATION:

To calculate the diagonal distance we must follow the following steps:

-The length corresponds to the horizontal dimension of the screen.

-The height corresponds to the vertical dimension of the screen.

Now we must apply Pythagoras' theorem

[tex]\begin{gathered} a^2+b^2=c^2 \\ a=4 \\ b=9.4 \\ c=diagonal\text{ distance} \\ a^2+b^2=c^2 \\ (4)^2+(9.4)^2=c^2 \\ 16+88.36=c^2 \\ 104.36=c^2 \\ \sqrt[]{104.36=c} \\ c=10.21 \\ \text{ANSWER: 10.21 Inches} \end{gathered}[/tex]

Find the polynomial that represents the perimeter of the figure. simplify your answer.

Answers

The given diagram is a pentagon with different side measurements.

The perimeter is defined as the sum of all external boundaries of the figure.

So the perimeter (P) of the pentagon is equal to the sum of the 5 sides of the figure,

[tex]\begin{gathered} P=(3t^2-9)+(3t^2-9)+(2t^2+5)+(2t^2+5)+(t^3-t^2+8) \\ P=3t^2-9+3t^2-9+2t^2+5+2t^2+5+t^3-t^2+8 \\ P=t^3+(3t^2+3t^2+2t^2+2t^2-t^2)+(-9-9+5+5+8) \\ P=t^3+9t^2+(0) \\ P=t^3+9t^2 \end{gathered}[/tex]

Thus, the perimeter of the figure is,

[tex]t^3+9t^2[/tex]

Brad is going to send some flowers to his wife. Silvergrove Florist charges $3 per rose, plus $20 for the vase. Noah's Flowers, in contrast, charges $1 per rose and $30 for the vase. If Brad orders the bouquet with a certain number of roses, the cost will be the same with either flower shop. What would the total cost be?Write a system of equations, graph them, and type the solution.

Answers

To solve this exercise we must first identify our variables

• C, = Total cost

,

• r ,= number of roses

,

• v ,= number of vases

Now, with these variables we will formulate the equations that model the price of each of the flower shops. We have to take into account that Brad is only going to buy one vase

[tex]v=1[/tex]

Silvergroce Florist

[tex]\begin{gathered} C=3r+20v \\ C=3r+20(1) \\ C=3r+20\to(1) \end{gathered}[/tex]

Noah's Flowers

[tex]\begin{gathered} C=1r+30v \\ C=r+30(1) \\ C=r+30\to(2) \end{gathered}[/tex]

We have two equations (1) and (2), to find the total cost that is the same in both flower shops, we only have to equal them to find the number of roses that Brad should buy

[tex]\begin{gathered} 3r+20=r+30 \\ 3r-r=30-20 \\ 2r=10 \\ r=\frac{10}{2} \\ r=5 \end{gathered}[/tex]

Brad must buy 5 roses so that it costs the same at both florists. To know the cost we substitute in any equation (1) or (2) the number of roses

[tex]\begin{gathered} C=r+30 \\ C=5+30 \\ C=35 \end{gathered}[/tex][tex]\begin{gathered} C=3r+20 \\ C=3(5)+20 \\ C=15+20 \\ C=35 \end{gathered}[/tex]The total cost for 5 roses and a vase is $35

Answer:

y = 20 + 3x

y = 30+x

( 5,35)

Step-by-step explanation:

Writing and solving a system of equations

Silvergrove Florist: 20 + 3x

Noah's Flowers: 30 + 1x  where x is the number of roses

We want to know when they are equal

20+3x = 30+1x

Subtract x from each side

20+3x-x = 30+x-x

20+2x = 30

Subtract 20 from each side

20+2x-20 = 30-20

2x = 10

Divide by 2

2x/2 = 10/2

x = 5

The number of roses is 5

The cost is

30 +x = 30+5 = 35

(5,35)

hi! how do i find surface area of a cylinder? for some reason i can’t get the right answer

Answers

[tex]SA=2\pi r^2+2\pi rh[/tex]

Use the formula above to find the surface area of a cylinder.

For the given cylinder the given data is the height (6mi) and diameter (16mi), use the diameter to find the radius:

[tex]\begin{gathered} r=\frac{d}{2} \\ \\ r=\frac{16mi}{2}=8mi \end{gathered}[/tex]

Surface area:

[tex]\begin{gathered} SA=2\pi(8mi)\placeholder{⬚}^2+2\pi(8mi)(6mi) \\ SA=128\pi mi^2+96\pi mi^2 \\ SA=224\pi mi^2 \end{gathered}[/tex]Then, the surface area of the given cylinder is: 224π square miles

85 is ___ tens and 25 ones

Answers

Answer:

6

Step-by-step explanation:

Because 25 ones is 25

So 85 - 25 = 60

60 = 6 tens

Determine the most specific name for quadrilateral JKLM if the coordinates of the vertices are:J(-4,6), K(-1,2), L(1,6), M(4,2)JL ll KM PROOF:J.5JL is parallel to X-axis.bothvertices have y-coordinate at y = 6.KM Parallel to x axis, bothvertices have y-coordinate aty=2.43KM M1Determine Stopes of JK & LM(If slopes ave ithen sides arparallel):4517-42-8-3-10JK: 31-4,6) K(+1,2)x2 Y2xiyo2-6-4

Answers

To finish the demonstration that the quadrilateral JKLM is a rhombus we need to prove that side JK is congruent with side LM.

The length of a segment with endpoints (x1, y1) and (x2, y2) is calculated as follows:

[tex]\sqrt[]{(x_2-x_1)^2+(y_2-y_1)^2}[/tex]

Substituting with points L(1,6) and M(4,2) we get:

[tex]\begin{gathered} LM=\sqrt[]{(4-1)^2+(2-6)^2} \\ LM=\sqrt[]{3^2+(-4)^2} \\ LM=\sqrt[]{9+16^{}} \\ LM=5 \end{gathered}[/tex]

Given that opposite sides are parallel, all sides have the same length, and, from the diagram, the quadrilateral is not a square, we conclude that it is a rhombus.

I need help graphing and I need to know the coordinates. The graph goes up to 12.

Answers

We have the next given function:

[tex]f(x)=\sqrt[3]{x}-2[/tex]

To find the first point, we need to use:

[tex]\sqrt[3]{x}=0[/tex]

Solve the equation for x:

[tex](\sqrt[3]{x})^3=(0)^3[/tex][tex]x=0[/tex]

So, when x=0, we got the first point (0, -2), because:

[tex]y=\sqrt[3]{x}-2[/tex][tex]y=0-2[/tex]

Then

[tex]y=-2[/tex]

Let's find the points on right, let use x=8 and x=27

Replace on the function, when x=8

[tex]y=\sqrt[3]{x}-2[/tex][tex]y=\sqrt[3]{8}-2[/tex][tex]y=2-2[/tex][tex]y=0[/tex]

So, it represents the point (8,0)

Now, when x=27

[tex]y=\sqrt[2]{27}-2[/tex][tex]y=3-2[/tex][tex]y=1[/tex]

This corresponds to the point (27,1)

Now, for points on the left side:

When x=-8

[tex]y=\sqrt[3]{-8}-2[/tex][tex]y=-2-2=-4[/tex]

Which represents the point (-8,-4)

When x=-27

[tex]y=\sqrt[3]{-27}-2[/tex][tex]y=-3-20-5[/tex]

Which represents the point (-27, -5)

Finally, graph these four points on the cartesian plane.

PLEASE HELP ASAP!!! Evaluate!!!

Answers

Answer:

-5 I think

Step-by-step explanation:

Answer: -5

Step-by-step explanation:

1. Since f(-1) is -1, substitute it into the x's of the equation. The question would now be 4(-1)^2+5(-1)-4.

2. Solve and it would be -5

The properties of integer addition and subtraction also apply topolynomial
addition and subtraction.
•_____under additionand subtraction
•Commutative property of addition
•____property of addition

Answers

Polynomial is commutative under addition and non-commutative under subtraction.

Given, the properties of integer addition and subtraction.

Now, we have to check the properties apply to polynomial or not

Let, a polynomial be p(x) = 2x²+3x+5

and other polynomial be q(x) = x²+2x+3

Now, on adding, we get

p(x) + q(x)

(2x²+3x+5) + (x²+2x+3) = 3x²+5x+8

also, q(x) + p(x)

(x²+2x+3) + (2x²+3x+5) = 3x²+5x+8

So, as p(x) + q(x) = q(x) + p(x)

Therefore, polynomial is commutative under addition

Now, on subtracting, we get

p(x) - q(x)

(2x²+3x+5) - (x²+2x+3) = x²+x+2

also, q(x) - p(x)

(x²+2x+3) - (2x²+3x+5) = -x²-x-2

So, as p(x) + q(x) ≠ q(x) + p(x)

Therefore, polynomial is non-commutative under subtraction.

Hence, polynomial is commutative under addition and non-commutative under subtraction.

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Given a planar trapezoid ABCD whose height is BE. It is known that AB = 8cm A = 60 *, find the height ofthe trapezoid.

Answers

Solution:

Given the trapezoid:

To solve for the height of the trapezoid, we use the trigonometric ratio.

From the trigonometric ratios,

[tex]\sin\theta=\frac{opposite}{hypotenuse}[/tex]

In this case, in the triangle AEB, θ is ∠A.

Thus,

[tex]\sin A=\frac{BE}{AB}[/tex]

By cross-multiplying, we have

[tex]\begin{gathered} BE=AB\times\sin A \\ =8\times\sin60 \\ =8\times\frac{\sqrt{3}}{2} \\ \Rightarrow BE=4\sqrt{3}\text{ cm} \end{gathered}[/tex]

Hence, the height of the trapezoid is

[tex]4\sqrt{3\text{ }}\text{ cm}[/tex]

Use it in a lot and it can take forever

Answers

Part 1

Remember that

The rate of change is the same that the first derivative

so

The rate of change appears to be zero at times

t=1 weeks

t=4 weeks

t=6 weeks

Part 2

which of the following is true?

Verify each option

W'(3) > W'(7) -----> is not true

W'(3) < W'(7) -----> is true

W'(3)=W'(7) is not true

which of the following is true?

Verify each option

W'(0) < W'(5) -----> is true

therefore

the graph is

Consider the fraction 1/2, if this fraction is divided by 3, will the quotient be more or less than the quotient in the first part?

Answers

[tex]\begin{gathered} \text{you must compare 1/2 with 1/2 divided by 3. This las operation is equal to 1/6:} \\ \frac{\frac{1}{2}}{3}=\frac{\frac{1}{2}}{\frac{3}{1}}=\frac{1\cdot1}{2\cdot3}=\frac{1}{6} \\ \text{I did this computation by using the sandwich law. I uploaded the image below} \\ \text{Now we must compare the quotient of 1/2 and the quotient of 1/6} \end{gathered}[/tex][tex]\begin{gathered} as\text{ you can se}e,\text{ the quotient in the division 1/2 is 0.5 } \\ \text{and the quotient in 1/6 is 0.16,} \\ \sin ce\text{ 0.5 }>0.16,\text{ then the quotient in the first part } \\ \text{is larger than the quotient in the second part} \end{gathered}[/tex][tex]\text{this last image exemplify the "Sandwich law"}[/tex]

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