Using the solution from the previous question, solve the following problem. Suppose that the amount of money originally invested in an account was $5,000, and that the money in the account after 3 years is $6,050. What was the annual simple interest rate for the account?

Answers

Answer 1

Let's use the simple interest formula:

[tex]FV=PV\cdot r\cdot t[/tex]

Where:

FV = Future value = $6050

PV = Present value = $5000

r = interest rate

t = time = 3

Replacing the data into the equation:

[tex]\begin{gathered} 6050=5000\cdot r\cdot3 \\ 6050=15000r \\ \text{Solving for r:} \\ \frac{6050}{15000}=r \\ \\ r\approx0.4033\approx40.33 \end{gathered}[/tex]

r = 40.33%


Related Questions

using long division

helo me please show your complete ssolutions

Answers

Step-by-step explanation:

Make the facts and then you can get the answer easily

find the sum or difference 6 3/5 - (-2 1/5)
A. -4 2/5
B. 8 4/5
C. -8 2/5
D. 4 2/5

Answers

Answer:

B

Step-by-step explanation:

Fraction subtraction:

 [tex]\sf 6 \dfrac{3}{5}-(-2\dfrac{1}{5})=6\dfrac{3}{5}+2\dfrac{1}{5}[/tex]

Convert mixed fraction to improper fraction,

                    [tex]\sf = \dfrac{33}{5}+\dfrac{11}{5}[/tex]

Now, add.

                  [tex]\sf = \dfrac{33+11}{5}\\\\=\dfrac{44}{5}[/tex]

Covert improper fraction to mixed fraction.

                  [tex]\sf = 8\dfrac{4}{5}[/tex]

what is (tan x + cot x) sin x * cos x ?
pls helppp​

Answers

(tan x + cot x) sin x * cos x is 1

(tan x + cot x) sin x * cos x

= (tan x + 1 / tan x) sin x * cos x               because cot x = 1 / tan x

= (((tan x) ^2 + 1) / tan x) sin x * cos x             because (tan x) ^2 +1= (sec x) ^2

= (sin x / cos x) tan x

= tan x / tan x

= 1

The sales tax rate is 5%. If Abdul buys a wheelbarrow priced at $79, how much tax will he
pay?

Answers

Answer:

$3.95

Step-by-step explanation:

Given

Price = $79,Sales tax = 5%.

Solution

Find 5% of $79:

79 * 5/100 = 395/100 = 3.95

Answer:

Abdul must pay $ 3.95.

Step-by-step explanation:

Now we have to,

→ find the amount of tax he must pay.

Then the amount will be,

→ (79/100) × 5

→ 0.79 × 5 = $ 3.95

Hence, he must pay $ 3.95.

Caleb lost 32 of his marbles when playing against his brother. if he began the game with 56 marbles, what fraction of his original marbles does he have left as a fraction?

Answers

Answer:

3/7

Step-by-step explanation:

Hey there!

To find this out, we have to put the numerator of the fraction as the number of marbles he has left, and the denominator as the number of marbles he had in total before he played

# of marbles in total - 56

# of marbles he has left - (56 - 32) 24

Fraction - 24/56

Simplify - 24/56 --> 3/7

So, the fraction of his original marbles he has left as a fraction is 3/7

What is 2 1/2 ÷ 2 5/8

Answers

Answer: THE ANSWER IS 20/21

Step-by-step explanaTion:

Answer:

[tex]5\frac{1}{8}[/tex]

Step-by-step explanation:

[tex]=\frac{5}{2} +\frac{21}{8}[/tex]

[tex]=\frac{40+42}{16}[/tex]

[tex]=\frac{82}{16}[/tex]

[tex]=\frac{41}{8}[/tex]

[tex]=5\frac{1}{8}[/tex]

Hope this helps

use the trapezoidal rule, the midpoint rule, and simpson's rule to approximate the given integral with the specified value of n. (round your answers to six decimal places.) 4 0 ln(3 ex) dx, n

Answers

a. Trapezoidal Rule- 9.413607

b. Midpoint Rule-9.393861

c. Simpson's Rule -9.400407

a. We use n=8 for this integral, .Δt=4-0/8=0.5

Therefore the integral range is[0,0.5,1.0,1.5......3.0,3.5....4.0 ]

#For the Trapezoidal Rule:

[tex]\int\limits^a_b[/tex]∫(x)dx≈[tex]Tn=[/tex]Δr/2[∫([tex]x0[/tex])+2∫(x1)+....+∫(xn)]

=[tex]\int\limits^4_0[/tex][tex]In(2+ex[/tex])dx≈[tex]T8[/tex]

=0.5/2[[tex]In[/tex](2+[tex]e0.0[/tex])+2In(2+e0.5)+2In(2+e1.0)+....+2In(2+e3.5)+In(2+e4.0)]

=0.25[1.098612+2.588754+3.102889+3.737962+4.479090+5.304017+6.189846+7.117283+4.035976]

≈9.413607

Hence, the approximate integral value using Trapezoidal rule is 9.413607

b.For the Midpoint Rule, we calculate the integral as:

[tex]\int\limits^a_b[/tex]∫(x)dx≈[tex]Mn=[/tex]Δx[∫[tex](x1)[/tex]+∫([tex]x2)[/tex]........∫([tex]xn)}[/tex]

x1 is the midpoint of the ith interval.

From our interval ,[0,0.5,1.0,1.5....3.0,3.5,4.0]the applicable intervals are

[0.25,0.75,1.25,2.25,2.75,3.25,3.75]

We therefore have the integral value as:

=4/8[[tex]In[/tex](2+[tex]e0.25[/tex])+In(2+[tex]e0.72[/tex])+In(2+[tex]e1.25[/tex])+....+In(2+[tex]e1.75[/tex])+In(2+[tex]e2.25[/tex])[tex]In[/tex](2.75)+In(2+e0.5)+In(2+e1.0)]

Hence, the approximate integral value using the Midpoint Rule is 9.393861

c. For the Simpson's Rule, we calculate the integral rule as follows:

Hence, the approximate integral value using the Simpson's Rule is 9.400407

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pls help will mark brainliest

Answers

The simplest form of the graph is 3x + 0y = 0

And the values of A and B are 3 and 0 respectively.

The point which is plotted in the graph : (3, 0)

What is the general form of linear equation?

Ax+By=C is the usual form for two-variable linear equations. A standard form linear equation is, for instance, 2x+3y=5. When an equation is given in this format, finding both intercepts is rather simple (x and y). Additionally, when resolving systems of two linear equations, this form is highly helpful.

The given general form of equation is Ax+By+C= 0

So as in this graph it is clearly visible that:

A= 3 and B= 0

Thus we can write it as 3x + 0y = 0

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Question
The manufacturer of pencils spends $0.05 to make each pencil and sells them for 0.25. The manufacturer also has fixed
costs each month of $2000.
Find the revenue function R when x pencils are manufactured.

Answers

Answer:C(x) = 2000+ 0.05 x

Step-by-step explanation: Cost (C) = fixed cost + (cost per pencil x number of pencils)

Since:

Fixed cost: $2000

Cost per pencil : $0.05

Replacing with the values given:

C(x) = 2000+ 0.05 x

Where x is the number of pencils manufactured.

Feel free to ask for more if needed or if you did not understand something.

A train travels 16 miles in 20 minutes . At this rate ٫ how many minutes will it take to travel 12 miles

Answers

We will establish simple proportions. If [tex]16[/tex] miles takes [tex]20[/tex] minutes, how many minutes for [tex]12[/tex] miles?

[tex]16miles/20min[/tex][tex]0.8miles/min[/tex]

That makes [tex]12[/tex] miles in [tex]15[/tex] minutes.

[tex]0.8(12)=12miles/?min[/tex][tex]?=15min[/tex]

PLEASE HELP ASAP

The math counts club had a party at school. There were cookies and 40 slices pizza with nothing left pizza to be shared equally. Each students had the same number of whole cookies and the name number of slices of pizza with nothing left over. How many students How many students could have been at the party? (There is more than one answer. List as many as you can)

Answers

Answer:

There could have been 5, 10, or 20 students at the party.If there were 5, each student got 4 cookies and 8 slices of pizza if there were 10, each student got 2 cookies and 4 slices of pizza if there were 20, each student got 1 cookie and 2 slices of pizza

The formula for the area of the shaded
region on the diagram is:
Area of the circle - Area of the square
The area of the circle is 67.1 cm² rounded to
1 decimal place.
The area of the square is 12.3 cm² truncated
to 1 decimal place.
Write the error interval for the area, a, of the
shaded region

Answers

The error interval of the area a of the shaded region

What is Error Interval?

Error intervals are the limits of accuracy when a number has been rounded or truncated. They are the range of possible values that a number could have been before it was rounded or truncated.

Given,

Area of the circle  = 67.1cm²

Area of the square  = 12.3cm²

According to the question:

The formula for the area of the shaded

region on the diagram is:

Area of the circle - Area of the square

Putting the value of Area of circle and Area of square

= 67.1cm² - 12.3cm²

= 54.8cm²

The Error interval of area a = 54.8 + 0.5   and 54.8 - 0.5

                                             = 54.85        and 54.75

Hence, Area of shaded region is 54.85< a < 54.75        

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Find the non-extraneous solutions of the square root of the quantity x plus 7 minus 4 equals quantity x plus 3

Answers

The non-extraneous solutions of the square root of the quantity x plus 7 minus 4 equal quantity x plus 3 is: x = -7 and x =-6.

How do we find the non-extraneous solutions?

The non-extraneous solution can be found with this calculation:

[tex]\sqrt{x} + 7 - 4 = x + 3\\\\\sqrt{x} + 7 = x + 7\\\\[/tex]

Now, we will square both sides:

[tex](x + 7) = (x + 7)^{2} \\\\(x + 7) = (x+7) (x+7)\\\\x + 7 = x^{2} + 14x + 49\\\\x = x^{2} + 13x + 42\\\\0 = (x + 7) (x+6)\\[/tex]

Thus, we have; x = -7 and x = -6

Note that we collected like terms from the figures on the left-hand-side to the figures on the right-hand side. When the lowest common multiple betwen 14 and 42 was checked, figures 7 and 6 were gotten.

When we plug figure x into both equations, we get the same figures and this confirms the solution.

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Find the slope of the line graphed below

Answers

Answer:

Go up 8 and right  2

8/2

Step-by-step explanation:

Helppppp please!!! Immediately
Barbara, Mark, and Carlos participated in the third heat of “The Big Race.” Barbara thought she could win with a 3 meter head start even though she only pedaled 3 meters every 2 seconds. Mark began at the starting line and finished the 20 meter race in 5 seconds. Meanwhile, Carlos rode his tricycle so that his distance (y) from the starting line in meters could be represented by the equation y= 5/2x+1 where x represents time in seconds.
1)What is the dependent variable?
2)What is the independent variable?
3)Write an equation that discribes Barbara's motion. HINT: Write the equation in y=mx+by=mx+b form, where mm is the rate of change and bb is the starting point.
4)Write an equation that discribes Mark's motion. HINT: Write the equation in y=mx+by=mx+b form, where mm is the rate of change and bb is the starting point.
5)How fast did Carlos pedal? Write your answer as a unit rate
6)When did Carlos pass Barbara?

Answers

Pls up vote me pls gsgshhe

Is the shape a polygon?

Answers

Answer:

Yes

Step-by-step explanation:

Because a polygon is a plane figure that is described by a finite number of straight line segments connected to form a closed polygonal chain.

The measure of a supplement of an angle is 35 more than twice the complement of the angle. Find the measures of the angle, its supplement, and its complement.

Answers

The measure of the angle is 35°. The complement is 55° and the supplement is 145°.

How to calculate the angle?

Let's measure of the angle = x

Supplementary angle of x = 180° - x

Complementary angle of x = 90° - x

By the given condition

180° - x = 2(90° - x) + 35°

Find the measure of the angle

180° - x = 2(90° - x) + 35°

⇒ 180° - x = 180° - 2x + 35°

⇒ - x = - 2x + 35°

⇒ - x + 2x = 35°

⇒ x = 35°

The measure of the angle = 35

The complement will be:

= 90° - 35° = 55°

The supplement will be:

= 180° - 35° = 155°

The concept illustrates how angles are calculated.

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f(x) = 6 - 1/(x-4)
Determine the value that the function f approaches as the magnitude of x increases. (If you need to use or –, enter INFINITY or –INFINITY, respectively.)

Answers

The value of the function as x increases comes closer to 6 and at limit x→∝ the value is 6.

In mathematics, a limit is the value that such a function (or sequence) gains as the input (or index) gets closer to a particular value.

Without limits, it is impossible to perform calculus or mathematical analysis; limits are also necessary to compute continuity, derivatives, and integrals.The concept of a limit of a series is further generalized to encompass the concept of such a limit of a topological net, in addition to being strongly related to limit and indirect limit in category theory.Several different converging ideas can be defined on function spaces. This sometimes relies on how frequently the area is set up. Two well-known examples of function spaces having a notion of convergence are Lp spaces and Sobolev space.

Given the function is  [tex]f(x) = 6-\frac{1}{x-4}[/tex]

Now we put the limit to the function as [tex]lim_{x\rightarrow \infty} f(x)[/tex]

Therefore :

[tex]lim_{x\rightarrow \infty} (6-\frac{1}{x-4})\\=lim_{x\rightarrow \infty} 6 - lim_{x\rightarrow \infty}\frac{1}{x-4}\\=6 - 0\\=6[/tex]

Hence the value of the function is 6.

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The temperature in a town is 26.2F during the day and -11.2F during the night Find the difference in the temperatures.

what is the differience

Answers

The difference in the temperatures of the town is -37.4 degrees Fahrenheit.

What is the difference between the two values?

The difference between two values refers to the result of a subtraction operation.

A subtraction operation has the following parts: minuend, subtrahend, and difference.

In this situation, the minuend is 26.2F while the subtrahend is -11.2F.

Thus, the difference results from subtracting -11.2F from 26.2F, which is -37.4F, showing that the temperature is reduced by -37.4F to reach -11.2F during the night.

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45 divided by 3 to the power of 2 minus 37

Answers

Answer:

-32

Step-by-step explanation:

Answer:

-32

Step-by-step explanation:

45:3=15:3=5-37=-32

hope it helps

have a nice night with apples))

What is the avrage length finger nails will grow in 12 months

Answers

The average length by which finger nails will grow in 12 months will be 60mm, considering that they grow by an average of 5mm every month.

As per the question statement, there is no information provided about the average monthly growth of fingernails, and we required to calculate the average length by which finger nails will grow in 12 months.
To solve this question, we assumed that, the fingernails grow by an average of 5mm every month.

Now, using the unitary method, we can form a series of Mathematical statements to solve this question, which goes as follows:

If the average monthly growth of fingernails is 5mm,

It means that, fingernails grow in 1 month, by an average of 5mm.

Therefore, they will grow in 12 months, by an average of (5 * 12) = 60mm.

Average: In Mathematics and Statistics, the mean or average refers to a central tendency among a set of values in a sample or observation, calculated by the sum of all the values in the set, divided by the number of elements in that set.

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And the question below

Answers

Answer:

(a) 2nd Choice: The amount of time he has walked (in hours) when he is x kilometers from Glen City

(b) [tex]D^{-1}(x) = \dfrac{11.6 - x }{4}[/tex]

(c) [tex]D^{-1}(6.4) = 1.3 \;\text{hours}[/tex]

Step-by-step explanation:

(a)

Since D is distance in km  from Glen City after t hours of walking, the inverse D⁻¹  would be the time taken in hours to walk x kilometers from the city. So the second choice

(b)

[tex]D^{-1}(x) = \dfrac{11.6 - x }{4}[/tex]

To find the inverse of a function y = f(x), interchange y and x and solve

y = 11.6 - 4x  (using x instead of t)
Interchange y and x ==> x = 11.6 - 4y

Add 4y to both sides ==> 4y + x = 11.6 - 4y + 4y = 11.6

Subtract x from both sides ==> 4y = 11.6 - x

Divide both sides by 4 ==> y = (11.6 - x)/4

(c) [tex]D^{-1}(6.4) = \dfrac{11.6 - 6.4 }{4} = \dfrac{5.2}{4} = 1.3 \;\text{hours}[/tex]

Simplify (4x −3+2x²) + (2x + 1)​

Answers

Answer: 2x^2 + 6x - 2

Step-by-step explanation:

4x - 3 - 2x^2 + 2x + 1 =

2x^2 + 6x - 2

elrond is organizing a council in rivendell. he has invited two men, two dwarves, and two elves, and plans to seat them along with himself in a circle with seven seats. he knows that dwarves and elves do not get along, so he plans to seat them so that no dwarf is sitting next to an elf. the circle has a head chair. if elrond (himself an elf) must sit at the head of the circle, in how many ways can he seat the other six guests? all beings are distinguishable from one another, and the head chair is distinguishable from the other chairs.

Answers

Elrond can sit his guest in 15 ways around the circle such that all conditions are fulfilled.

A cycle is a shape made up of all the points in a rectangle that are a certain distance from the center. It is the curve drawn by a moving location in a rectangle so that the radius from a given stage remains constant.

The radius of a circle is the distance between any two locations on the circle and the canter.

In most cases, the radius must be positive. A circle with  r=0 is a degenerate instance. This section is about rounds in Euclidean geometry, primarily the Euclidean plane, unless otherwise noted.

Now we have to consider the conditions:

Elrond is holding a council at Rivendell. He's invited two men, two dwarves, and two elves, and plans to seat them all in a circle with seven seats, including himself.  so 5+6=11

He understands that dwarves and elves do not get along, therefore he plans to arrange them so that no dwarf seats next to an elf. In the center of the circle is a chair. Hence 2=2 = 4

Number of ways = 11+4 = 15

Therefore Elrond can sit his guest in 15 ways around the circle such that all conditions are fulfilled.

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Use the scatter plot to answer the question.


A scatter plot with points at (negative 16, negative 7), (negative 9, negative 5), (negative 3, negative 3), (1, 2), (5, 4), (8, 3) & (14, 6).



Which function best fits the data in the scatter plot?


f(x)=2x−3f of x is equal to 2 x minus 3

f(x)=2x+1f of x is equal to 2 x plus 1

f(x)=12x−3f of x is equal to 1 half x minus 3

f(x)=12x+1

Answers

Using linear regression, the function that best fits the data in the scatter-plot is given by:

f(x) = 1/2x + 1.

How to find the equation of linear regression?

To find the regression equation, also called line of best fit or least squares regression equation, we need to insert the points (x,y) in the calculator. These points are given on a table or in a scatter plot in the context of the problem.

The scatter-plot in this problem contains these following points:

(-16, -7), (-9, -5), (-3, -3), (1, 2), (5, 4), (8, 3) and (14,6).

Inserting these points into a calculator, the equation is given by:

f(x) = 0.46835x + 1.

Approximating the slope to 1/2 considering the given options, the function is given by:

f(x) = 1/2x + 1.

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The radius of the wheel of a unicycle is 14 inches. What is the
distance, in inches, that the unicycle covers after 10 full
rotations of the wheel? Use 3.14 for pi

Answers

Step-by-step explanation:

We need to find the circumference of the equation.

One circle circumference is a circle full rotation.

[tex]c = \pi(d)[/tex]

[tex]d = 2r[/tex]

[tex]c = 2r\pi[/tex]

R is 14.

[tex]c = 28\pi[/tex]

We need a rotation 10times so

[tex]10 \times 28\pi = 280\pi[/tex]

math is hard ok
attachments below

Answers

The measurement that does not represent the dimension of the triangle is 15, 30 and 45cm

The measurement that does represent the dimension of the triangle is 4, 8 and 10 cm.

What are the measurements?

Two triangles are similar if the ratio of the side lengths of the triangle are equal.

The ratio of the length of the triangles are 6 cm : 12 cm : 15 cm

Express the ratio in its simplest form - 2 cm : 4 cm : 5 cm

Ratio of 12, 24 cm and 30cm in its simplest form - 2 : 4 : 5

Ratio of 10, 20 and 25cm in its simplest form - 2 : 4 : 5

Ratio of 18, 36, 45cm in its simplest form - 2 : 4 : 5

Ratio of 15, 30 and 45cm in its simplest form - 1 : 2 : 3

Ratio of 4, 8 and 10 in its simplest form - 2 : 4 : 5

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(a) An angle measures 60°. What is the measure of its supplement?
measure of the complement:
(b) An angle measures 31°. What is the measure of its complement?

Answers

Answer:

(a) 120°

(b) 149°

Step-by-step explanation:

Supplementary angles add up to 180°

So to find the supplement of a given angle just subtract its measure from 180

(a) 180 - 60 = 120°

(b) 180- 31 = 149°

a) the supplementary angle of 60 degree is 120 degrees.

b) the complimentary angle of 31 degree is 59 degrees.

Supplementary angles are those angles whose sum comes out to be 180 degrees.  to find a supplement of an angle we need to subtract the given angle from 180 degree.

supplement of 60 degree (here given angle is 60 degree)

              = 180 - given angle = 180 - 60 = 120 degree

Complimentary angles are those angles whose sum comes out to be 90 degrees.  To find a compliment of an angle we need to subtract the given angle from 90 degree.

compliment of 31 degree (here given angle is 31 degree)

              = 90 - given angle = 90 - 31 = 59 degree

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Find the mystery number. If you multiply it by 1, then add 5, and finally subtract 2 you get 3. What is the mystery number?

Answers

The mystery number is y = 0.

A finite combination of symbols that are well-formed in accordance with context-dependent principles is referred to as an expression or mathematical expression. Numbers (constants), operations, variables, functions, brackets, punctuation, and grouping can all be represented by mathematical symbols, which can also be used to indicate the logical syntax's order of operations and other features.

Let's assume the mystery number to be y.

When we multiply it by 1, add 5, and finally subtract by 2 we obtain 3.

Using the statement we obtain the expression,

y × 1 + 5 - 2 = 3

y + 5 - 2 = 3

y + 3 = 3

Subtracting 3 from each side of the equation,

y + 3 - 3 = 3 - 3

y = 0

Hence the mystery number is 0.

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The monthly sale (in thousands of units) for the t^th month after the introduction of a product in the market is given by S = 135t/(t^2 + 50). In which earliest month would the sale (S) have been 9?

Answers

Given the following equation:

[tex]\text{ S = }\frac{135t}{t^2\text{ + 50}}[/tex]

Let's determine t at S = 9.

We get,

[tex]\text{ 9 = }\frac{135t}{t^2\text{ + 50}}[/tex][tex]\frac{9(t^2+50\rparen}{9}\text{= }\frac{135t}{9}[/tex][tex]\text{ t}^2\text{ + 50 = 15t}[/tex][tex]\text{ t}^2\text{ -15t + 50}[/tex]

a = 1, b = -15 and c = 50

Apply the quadratic formula:

[tex]\text{ t = x = }\frac{-\text{b }\pm\text{ }\sqrt{\text{b}^2\text{ - 4ac}}}{\text{ 2a}}[/tex][tex]\text{ = }\frac{\text{ -\lparen-15\rparen }\pm\text{ }\sqrt{(-15)^2\text{ - 4\lparen1\rparen\lparen50\rparen }}}{\text{ 2\lparen1\rparen}}[/tex][tex]=\text{ }\frac{\text{ 15 }\pm\text{ }\sqrt{\text{ 225 - 200}}}{\text{ 2}}[/tex][tex]\text{ = }\frac{\text{ 15 }\pm\text{ }\sqrt{\text{25}}}{\text{ 2}}[/tex][tex]\text{ = }\frac{\text{ 15 }\pm\text{ 5}}{\text{ 2}}[/tex][tex]\text{ x}_1\text{ = }\frac{\text{ 15 + 5}}{\text{ 2}}\text{ = }\frac{20}{2}\text{ = 10th month}[/tex][tex]\text{ x}_2\text{ = }\frac{\text{ 15 - 5}}{\text{ 2}}\text{ = }\frac{\text{ 10}}{\text{ 2}}\text{ = 5th month}[/tex]

Therefore, the earliest month will be either the 5th or 10th month.

Among the given choices, only the 10th month is in the choices.

Therefore, the answer is CHOICE B : 10th

Other Questions
Analyze Douglass description of his life in new bedford at the conclusion of the narrative The dream for hope in the midst of political opposition is an important thread that is woven throughout the writings of Giroux. This theory is known as resistance theory. As long as people are oppressed, advocates for hope and change will always be needed. For who and for what is most near and dear to your heart? How do you plan to advocate for this group of people? 250 words response The following this gives the number a pet for each of 12 students find the moods of this data set if there is more than one mode right them separated by commas if there is no mold click on low mode on september 12, vandelay company sold merchandise in the amount of $5,800 to jepson company, with credit terms of 2/10, n/30. the cost of the items sold is $4,000. jepson uses the periodic inventory system and the gross method of accounting for purchases. the journal entry that jepson will make on september 18 is: The low temperatures in degrees Fahrenheit in Marsh ty during aweek in January were:-3,-5, 3,7-2-2-5What was the average low temperature for that week? Contrast the perspectives of members of Congress and of Craig Holman about lobbyingby close relatives of members. due now!!!!! also what are iambs A conical circus tent has a 20 ft central pole that supports it. The slant height of the tent is 26 ft long. Explain how to find the angle the tent pole makes withthe sides of the tent.26 ft20 ftThe central pole forms a right triangle with the floor of the tent. Thethe length of the side of the tent, which isApplyingisVof the missing angle is the ratio of the length of the central pole towe find that the angle the tent pole makes with the sides of the tent Constantinople became this, thanks to Constantine the new Rome 2. The number of rulers in a tetrarchy tetrarchy 3. Constantine came from a background that included this abstract 4. The Byzantines preserved many aspects of this culture Greco-Roman 5. The role of this religion in Byzantine art cannot be overstated four 6. Byzantine artists relied on this sort of rendition of the human body Christian I dont know how to do this so whatever helps:) Which inference is best supported by the passage below (paragraph 24)?As he heard his mothers words Gregor realized that the lack of all immediate human contact, together with the monotonous life surrounded by the family over the course of these two months must have confused his understanding, because otherwise he couldnt explain to himself that he in all seriousness couldve been so keen to have his room 44 The Metamorphosis emptied. Was he really eager to let the warm room, comfortably furnished with pieces he had inherited, be turned into a cavern in which he would, of course, then be able to crawl about in all directions without disturbance, but at the same time with a quick and complete forgetting of his human past as well?A. Gregor is recovering from his transformation and becoming himself again.B. Gregor is losing a grip on his human past because he is so alienated from his old life.C. Gregor is naturally a very indecisive sort of person.D. Gregors metamorphosis is merely an illusion generated by mental exhaustion from over-work. After Necie finished working on her company newsletter, she noticed that it had large blocks of white space. What steps could she take to reduce the amount of white space? Hydras may reproduce by budding. In this process, a small polyp forms on an adult hydra, and then it leaves to become a new organism. Which observation would support the conclusion that budding is an example of asexual reproduction?a. The polyp that buds off the hydra have different DNA from the parent.b. The polyp that buds off the hydra are significantly smaller than its parent.c. Budding may occur in a hydra that has been completely isolated from others of its kind.d. Budding may occur in a hydra that has been raised with many others of its kind. A brick dropped from rest falls for 4 seconds. How far does the brick fall? An infinitely long line of charge has linear charge density 5.001012 C/m5.001012 C/m. A proton (mass 1.671027 kg1.671027 kg, charge +1.601019 C+1.601019 C) is 18.0 cm from the line and moving directly toward the line at 3.50103 m/s.3.50103 m/s. (a) Calculate the protons initial kinetic energy. (b) How close does the proton get to the line of charge? Compare the structure of proteins and nucleic acids by answering the following:1) What atoms are found in proteins and what atoms are found in nucleic acids?2) What are the monomers that make up a protein, and what are the monomers that make up a nucleic acid? select the following statements that are correct regarding dividends? (check all that apply.) multiple select question. dividends are closed into retained earnings by crediting retained earnings. dividends have a normal debit balance. dividends are closed into retained earnings by debiting retained earnings. dividends have a normal credit balance. dividends are closed into retained earnings by crediting dividends. dividends are closed into retained earnings by debiting dividends. What is the value of x if 8x=2 What design principle should be applied when selecting the colors for words and the background they are placed on to make reading easy?. Which of the following is an important cause of inflation in an economy?a. increases in productivity in the economyb. the influence of positive externalities on the economyc.l ack of property rights in the economyd. growth in the quantity of money in the economy