Matthew grows wheat on his farm. One of his fields produced 66.8 bushels of wheat this year. If wheat is currently selling for $5.40 per bushel, how much will Matthew earn from this field?

Answer:

The size of your deposit should be $13,023.92.

Step-by-step explanation:

First, the real interest has to be calculated using the following formula:

r = [(1 + i) / (1 + inf)] - 1 ..................... (1)

Where;

i = market interest rate = Interest rate on the account = 12%, or 0.12

r = real interest rate = ?

inf = inflation rate = 10%, or 0.10

Substituting the values into equation (1) and solve for r, we have:

r = [(1 + 0.12) / (1 + 0.10)] - 1 = 0.0181818181818183

Since you will need to pay ksh144,000 at beginning of first in a 4- year program, this implies that the relevant to use in calculating the size of the deposit is the formula for calculating the Future Value (FV) of an Annuity Due as follows:

FV = P * (((1 + r)^n - 1) / r) * (1 + r) ................................. (2)

Where,

FV = Future value or the amount needed to pay on the 20th birthday = ksh144,000

P = Fixed annual payment or size of the deposit = ?

r = real interest rate = 0.0181818181818183

n = number of years = 20 - 10 = 10 (Since you will make a deposit 1 year from today annually and continue to make an identical deposit each year up to and including the year you begin college.)

Substituting the values into equation (2) and solve for P, we have:

144,000 = P * (((1 + 0.0181818181818183)^10 - 1) / 0.0181818181818183) * (1 + 0.0181818181818183)

144,000 = P * 10.8591414092614 * 1.0181818181818183

144,000 = P * 11.0565803439752

P = 144,000 / 11.0565803439752

P = $ 13,023.92

Therefore, the size of your deposit should be $13,023.92.

Answer:

0.4 would represent the strongest correlation.

Step-by-step explanation:

Generally, a value of r greater than 0.7 is considered a strong correlation. Anything between 0.5 and 0.7 is a moderate correlation, and anything less than 0.4 is considered a weak or no correlation

Step-by-step explanation:

take the picture and attach with this file

Answer:

5.8%

Step-by-step explanation:

H= 1/r (in P - in A)

H=24

P=2000

A=5000

24= 1/r (in2000 - in5000)

24r = in 2000 - in 5000

r = in 2000 - in 5000

_________________

24 r

= 05 .7762265

= 5.8 %

Answer:

The hourly rate is better between 1 and 8 hours.

Step-by-step explanation:

There are two options

A fixed amount of $1560.

Or an hourly rate of $180 the hour.

So for the first option, the cost equation as a function of time, t, is:

f(t) = $1560

(it does not depend on t)

While for the second option, the equation would be:

g(t) = $180*t

First, we want to answer:

We can expect that for smaller values of t the second option is better but let's see that:

or what lengths of time would the hourly rate be less​ expensive?

Then we need to solve:

f(t) = g(t)

for t, this is:

$1560 = $180*t

$1560/$180 = t = 8.66

So, for t = 8.66, the cost is the same in both options.

For t < 8.66

(between 1 and 8 hours) the second option is better. (here the hourly rate is better)

for t > 8.66

(9 hours or more) is better the first option, as the hourly (here the flat fee is better)

The group that best represents a sample of the population is one thousand of their customers with a current smart phone data plan.

A sample is a smaller representative group of the population. A sample is used as it might not be feasible or cost effective to access the whole population.

The appropraite sample should be representative of the whole population of customers.

To learn more about sample, please check: https://brainly.com/question/18521835

The group that would best represent a sample of the population is given by: Option C: one thousand of their customers with a current smart phone data plan.

We do sampling so that we don't have to work on entire population of items but only on that sample in a way that we can predict information about population.

Most of the times, it isn't possible in real world to work on entire populations. Samples come out for rescue by assumptions that they will have some properties of the population pertained in them.

Thus, the sample should be taken out such that it includes data of the population as much  as it can in unbiased way so as to imitate population. (assuming that we want the sample to contain the summary of the population).

We've to collect sample in such a way that we can get a widespread view of the population (all customers). We want to do sampling for getting the average amount of data that their smart phone customers use each month.

Option A, B and D are choosing those customers, which are like a special part of the customers, and not an overall coverage of the customer the cell phone company has.

But option C covers assumingly all sorts of customers who use internet data.

Thus, the group that would best represent a sample of the  is given by: Option C: one thousand of their customers with a current smart phone data plan

Learn more about sampling here:

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Answer:

its 36 dollars

Step-by-step explanation:

27 + x = 62

x = 62 - 27

x = 36

Answer: B

Step-by-step explanation:

Bc said so

Answer:

500 minutes= 8.33 hr

Step-by-step explanation:

The number of hours that he works will be 8 hours and 20 minutes.

Algebra is the study of abstract symbols, while logic is the manipulation of all those ideas.

The acronym PEMDAS stands for Parenthesis, Exponent, Multiplication, Division, Addition, and Subtraction. This approach is used to answer the problem correctly and completely.

Jude arrived at work at 7:55 am and left at 4:15 pm.

Convert the time into 24 hours system. Then we have

4:15 pm = 16: 15

7:55 am = 7: 55

Then the number of hours is given as,

    16: 15

  -  7: 55

     8: 20

Then the number of hours that he works will be 8 hours and 20 minutes.

More about the Algebra link is given below.

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Answer:

B

We find twice Jessica’s age and then subtract 6 since she is 6 years younger than that.

Answer:

B. (8*2) -6

Step-by-step explanation:

Since Jessica is 8, and Kayla is 6 years younger than twice (doubled) Jessica's age, this means that Kayla is 6 years younger than 16. Therefore the equation would be (8*2)-6.

Answer:

That's a parabola

explanation:

Answer:

Step-by-step explanation:

James is one meter and 63 centimeters OR what your teacher likely wants

James is one and sixty-three hundreths meters tall

Ani is wrong

4 and 8 hundreths means 4.08

4.8 would be 4 and 8 tenths

Answer:

C. Similarity cannot be determined

Step-by-step explanation:

Two triangles are considered similar when all three angles are equal and also when the ratio of their corresponding side lengths are equal.

Since we only know the angles of the two triangles given and we are not given the side lengths to determine if their corresponding ratio is the same, we therefore cannot determine if the two triangles are similar in anyway.

Answer:

Step-by-step explanation:

tanN = MO/ON = 15/8

N = about 61,9 it’s 62 degree

Answer: 15/8

Step-by-step explanation:

The front view of the figure is figure A.

Normal surfaces exist surfaces that stand at 90° to each other.

Hidden lines exist utilized to display surfaces that stand not directly visible. All surfaces must be displayed in all sights. If an edge or surface exists obstructed from sight by another feature, it stands drawn utilizing a hidden line.

The front view of the figure is figure A.

Therefore, the correct answer is option A.

To learn more about normal surfaces

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Answer:

x = -3    b no answer is 1/27000

Step-by-step explanation:

Answer:

102.5 km

Step-by-step explanation:

820km/8 hours=102.5 km

Answer:

the trapezoid will go on the side where it states "will have no pair of parallel sides"

Answer:

A trapezoid has at least one pair of parallel sides.

Step-by-step explanation:

Answer:

X=12

Step-by-step explanation:

Given, OC⊥AD , ∠AOB=3x° & ∠BOC=(5x-6)° .

We Know ∠AOC=90

& ∠AOC=∠AOB + ∠BOC

90 = 3x + (5x-6)

90+6 = 8x

8x=96⇔x=12

(For Diagram,Please find in Attachment)

Answer:

x = -4 and y = 1

Step-by-step explanation:

hope this helps please like and mark as brainliest

Answer:

220 people per year.

that is the answer

Answer:

6 6 6 6 11

Step-by-step explanation:

The median is the middle number

the mode is the number of items, usually the number that are the same.

the mean is the average

the range is the number between the smallest and the largest.

So the information you have makes 4 of the 5 numbers the same.

The middle number is 6. This is an interesting fact because it means that 4 of the five numbers are 6

x 6 6 6 6  or  6 6 6 6 x  is what you know so far.

The range is a bit of a devil. And so is the mean. We need the mean to be related to  5*7 = 35. So the sum of the five numbers equals 35. The range would have to be 5, I think. (35 - 4*6) = 11

The difference between 11 and 6 = 5

So 11 works for everything but the range.

If the range must be ten, then x = 16 but then the mean = 8 and 7  is incorrect

So I can get 3 out of 4, but not them all.

Answer:

$408

Step-by-step explanation:

Answer:

m =3

Step-by-step explanation:

3x – y = 1

First put the line in slope intercept form

y = mx+b where m is the slope and b is the y intercept

-y = -3x+1

y = 3x-1

The slope is 3

We want a line parallel, which means the lines have the same slope

m =3

Answer:

d

Step-by-step explanation:

its the correct answer

Hope this helps:)

Answer:

its being reflected over the y-axis

Step-by-step explanation:

Answer:

V = 125 cm³

General Formulas and Concepts:

Pre-Algebra

Order of Operations: BPEMDAS

Geometry

Volume of a Cube Formula: V = a³

Step-by-step explanation:

Step 1: Define

Identify variables

a = 5 cm

Step 2: Find Volume

Answer:

125cm^3

Step-by-step explanation:

Volume of a cube = l^3

Where l = length of cube

The given length of the cube is 5cm

Hence Volume = 5^3 = 125cm^3

Answer:

y=-3x-1(4+1) I hoped this helped if not I am sorry I did the BPEMDAS

Answer:

Step-by-step explanation:

If you look at the diagram, you notice there are two triangular bases and three rectangular faces.

Therefore, the surface area, or the total area of all the bases and faces, would be the area of one triangular base multiplied by 2 and the area of each rectangular face

area of triangle = (1/2)*height*base

area of triangular base = (1/2)*15*28 = 210 cm^2

area of rectangle = base*height

area of rectangular face #1 = 25*30 = 750 cm^2

area of rectangular face #2 = 17*30 = 510 cm^2

area of rectangular face #3 = 28*30 = 840 cm^2

total surface area = 2*210 + 750 + 510 + 840 = 2520 cm^2