A newborn child receives a $9,000 gift toward a college education from her grandparents. How much will the $9,000 be worth in 18 years if it is invested at 7.6% compounded quarterly? Round to the nearest cent.

Answers

Answer 1

[tex]\bf ~~~~~~ \textit{Compound Interest Earned Amount} \\\\ A=P\left(1+\frac{r}{n}\right)^{nt} \quad \begin{cases} A=\textit{accumulated amount}\\ P=\textit{original amount deposited}\to &\$9000\\ r=rate\to 7.6\%\to \frac{7.6}{100}\to &0.076\\ n= \begin{array}{llll} \textit{times it compounds per year}\\ \textit{quarterly, thus four} \end{array}\to &4\\ t=years\to &18 \end{cases} \\\\\\ A=9000\left(1+\frac{0.076}{4}\right)^{4\cdot 18}\implies A=9000(1.019)^{72}[/tex]

Related Questions

(Extra points)
The lunch bill for Marty and Breanna add a dinner totaled $18.37. Tax on the meal was 6%, and they wanted to leave a 15% tip. How much was the meal including tax and tip?

Answers

$18.37 is the cost of just the dinner.

Add 6% of this as tax by either multiplying by dinner cost by 1.06 (to get dinner + tax)

For tip... If you calculate the 15% before, then you would add it together with the tax to get 21%, and then your answer would be calculated in the same way as just the tax.

If you tip the amount after tax, then take your answer for the (dinner + tax) part and use the same method, but with 15%.

(dinner + tax) x 1.15 = dinner, tax + tip

Final answer:

To calculate the total cost of Marty and Breanna's meal including tax and tip, add a 6% tax and a 15% tip to the original bill of $18.37 to get a total of $22.23.

Explanation:

To find the total cost of the meal for Marty and Breanna including tax and tip, we first calculate the tax. Since the tax rate is 6%, we convert that to a decimal (0.06) and multiply by the total cost of the meal ($18.37):

0.06 × $18.37 = $1.10 (rounded to the nearest cent).

Next, we calculate the tip, which is 15% of the pre-tax meal cost. We turn 15% into a decimal (0.15) and multiply by the meal cost:

0.15 × $18.37 = $2.76 (rounded to the nearest cent).

To find the total amount paid including tax and tip, we add all the amounts together:

$18.37 + $1.10 + $2.76 = $22.23

So, the total cost of the meal including tax and tip is $22.23.

Explain how to find the surface are of a triangular prism using only the the dimensions of the figure.

Answers

The formula is bh+2ls+lb if thats what you looking for.

A line with a slope of 33 passes through (2,5)2,5. Which choice is an equation of this line? a)y+5=3x+2 b)y-5=3x-2 c) y-5=(x-2) d)y-2=3(x-5)

Answers

Answer:

y - 5 = 3 . (x - 2)

Step-by-step explanation:

A linear equation can be written in point-slope form.

y - y₁ = m. (x- x₁)

where

x is the independent variable

y is the dependent variable

(x₁, y₁) is an ordered pair representing a point through which the line passes

m is the slope

Given the slope is 3 (m = 3) and the line passes through the point (2, 5) (x₁ = 2, y₁ = 5), we can write the point-slope form of the linear equation.

y - 5 = 3 . (x - 2)

I think this might correspond to b, although it should have a parenthesis to be correct.

The rectangular top of his table has an area of 3^7 square inches and a length of 3^4 inches. What is the width of the table top?

A. 9 inchesB. 27 inchesC. 2,187 inchesD. 59,049 inches

Answers

Answer:

Step-by-step explanation:

Because 3 plus 7 equals 12 plus another 9 equals 27

The width of the rectangular table top is 27 inches.

The correct answer is option (B).

What is the area of rectangle?

A = l × w, where 'l' is the length and 'w' is the width of the rectangle

For given question,

The rectangular top of Karim's table has an area of [tex]3^7[/tex] square inches and a length of [tex]3^4[/tex] inches.

[tex]\Rightarrow A =3^7~sq.in.~,l=3^4~in.[/tex]

Using the formula for the area of the rectangle,

[tex]\Rightarrow A=l\times w\\\\\Rightarrow 3^7=3^4\times w\\\\\Rightarrow w=\frac{3^7}{3^4}\\\\ \Rightarrow w=3^7\times 3^{-4}\\\\\Rightarrow w=3^{7-4}\\\\\Rightarrow w=3^3\\\\\Rightarrow w=27~in.[/tex]

Therefore, the width of the rectangular table top is 27 inches.

The correct answer is option (B).

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A CD which usually sells for $15.78 has a 15% discount. Estimate the amount of the discount.

Answers

if we take 15.78 to be the 100%, what is the 15%?

[tex]\bf \begin{array}{ccll} amount&\%\\ \text{\textemdash\textemdash\textemdash}&\text{\textemdash\textemdash\textemdash}\\ 15.78&100\\ a&15 \end{array}\implies \cfrac{15.78}{a}=\cfrac{100}{15}\implies \cfrac{15.78\cdot 15}{100}=a[/tex]

You need to round 15.78 to get 16. You then multiply 16 to 15 and divide by 100 to get your answer :

2.4

Which would also be $2.40

PLZ HELP ME, I AM ONLY IN LITTLE GRADE AND ITS EASY FOR YOU GUYS AND PLZ HELPPPPPPPPPPPP!!!!!!!!!!!
Q:Together, Xavier, Yolanda, and Zachary have $4.44. If each person has the same amount, how much money does each person have?

Answers

Hey there!

To figure out how much money each person has, we need to divide.

4.44 ÷ 3 = 1.48

So each person has $1.48

Hope this helps you!

Always remember, you are a Work Of Art!
- Nicole :) <3

A new car is purchased for 20700 dollars. The value of the car depreciates at 13.75% per year. What will the value of the car be, to the nearest cent, after 12 years?

Answers

[tex]\bf \qquad \textit{Amount for Exponential Decay}\\\\ A=P(1 - r)^t\qquad \begin{cases} A=\textit{accumulated amount}\\ P=\textit{initial amount}\to &20700\\ r=rate\to 13.75\%\to \frac{13.75}{100}\to &0.1375\\ t=\textit{elapsed time}\to &12\\ \end{cases} \\\\\\ A=20700(1-0.1375)^{12}\implies A=20700(0.8625)^{12}[/tex]

Answer:

y≈3508.16

Step-by-step explanation:

What postulate is illustrated by the diagram above?

Answers

C. Flat plane postulate

On a map, the distance between two historical markers is 4.5 inches, and 2.5 inches represents 10 miles. What is the actual distance between the historical markers? Enter your answer in the box.

Answers

The answer to this is 18.

your answer would be 18.. after you cross (butterfly method) multiply and fallow the other steps you get 18

two friends share 1/4 gallon of lemonade equally. What fraction of the gallon of lemonade does each friend get?

Answers

Since there are two people sharing 1/4 a gallon of lemonade, we need to divide 1/4 by 2:

1/4 / 2 = 1/8

Each friend gets 1/8 gallon of lemonade.

Hope this helps!

What is the sixth term of the sequence?

an= −3 ⋅ 2n+1

Enter your answer in the box.

a6=

Answers

-3*2n+1
-3*2(6)+1
-3*12+1
-36+1
-35=a6

Answer: its actually -384 and I TOOK THE TEST I promise !!!

Step-by-step explanation:

Points ABCD are connected to form rectangle ABCD. If G is plotted at (7, 4), would rectangle EFGH be similar to rectangle ABCD? Explain.

Answers

Given the information in this problem statement, point G could be plotted anywhere you like and EFGH could be similar to ABCD. The location of point G does not place any constraints on the relative locations of the other points that would prevent them from forming a rectangle similar to ABCD.

We suspect additional coordinates (possibly in a diagram) are missing from the problem statement.

According to m&ms web site, each package of the milk chocolate candies typically contain 14% brown, 13% red, 14% yellow, 16% green, 24% blue, and 20% orange m&ms. you go to the store and buy a standard-sized package. when you open it, you find that it contains 51 m&ms, distributed as follows: color brown red yellow green blue orange frequency 8 4 10 7 11 11 over the long run, you know that the probability of selecting a blue or an orange m&m will be 44% because these outcomes are: finite. disjoint. discrete. none of the answer choices is correct.

Answers

Answer: Disjoint

Step-by-step explanation: Selecting specific colors in a m&m's pack is disjoint because the events cannot occur at the same time, i.e., when you take one m&m's, it can be blue and orange at the same time.

To determine the probability of disjoint or mutually exclusive events, you can find their probability by adding the probability of each event.

In the question, it is asked the probability of selecting a blue or an orange.

Probability of a blue:

P(b) = [tex]\frac{11}{51}[/tex]

Probability of an orange:

P(o) = [tex]\frac{11}{51}[/tex]

Probability of one OR the other:

P(b OR o) = P(b) + P(o)

P(b OR o) = [tex]\frac{11}{51} + \frac{11}{51}[/tex]

P(b OR o) = [tex]\frac{22}{51}[/tex]

P(b OR o) ≈ 0.44 or 44%

The probability of blue or orange m&m's is 44%, and the events are disjoint.

Final answer:

According to the provided probabilities on the M&M's website, the probability of choosing a blue or an orange M&M is a combined 44%. These outcomes are described as discrete, as they are distinct and countable events in the context of probabilities.

Explanation:

The question is based on probabilities related to the distribution of M&M colors in a package, particularly focusing on the number of orange M&Ms and the number of yellow M&Ms. When analyzing the distribution of M&M colors, we utilize concepts from statistics such as uniform distribution and binomial distribution to assess the likelihood of pulling a particular color from a bag. If the M&Ms had a uniform distribution, we would expect each color to appear with equal probability; however, the provided probabilities for each color do not align with a uniform distribution.

In the long run, the probability of selecting a blue or an orange M&M is 44% combined, based on the provided percentages on the M&M's website (24% blue and 20% orange). These outcomes are discrete, as they represent distinct countable outcomes. The terms 'finite', 'disjoint', and 'discrete' are all descriptions of different characteristics of statistical outcomes. 'Finite' refers to a set that has a limited number of outcomes, 'disjoint' indicates that the events cannot happen at the same time, and 'discrete' encompasses outcomes that are countable and not continuous.

a cafeteria table has a length of 8 feet and a width of 3 feet. If 3 tables are pushed together, what is the combined area of the tables?

Answers

i think its 72 cause 8x3 is 24. and then 24x3 is 72.. let me kniw if im right!

Kersha has two jobs. During the day she works as an office clerk, and in the evening she works as a cashier. Her office job pays her $12.00 per hour. Her cashier job pays her $8.25 per hour. In one week, Kersha worked 55 hours. She earned a total of $585.

How many hours did Kersha work in each job?

Office clerk: 31 hours; cashier: 24 hours

Office clerk: 20 hours; cashier: 35 hours

Office clerk: 35 hours; cashier: 20 hours

Office clerk: 28 hours; cashier: 27 hours

Answers

Let x = hours worked as a clerk ($12 per hour).Let y = hours worked as a cashier ($8.25 per hour).She worked 55 hours, thereforex + y = 55 (1)She earned $585, therefore12x + 8.25y = 585 (2)From (1), obtainy = 55 - x (3)Substitute (3) into (2).12x + 8.25(55 - x) = 58512x + 453.75 - 8.25x = 5853.75x = 131.25x = 35y = 55 - x = 55 - 35 = 20
Answer: c) Office clerk: 35 hours; cashier: 20 hours.

The correct answer is that Kersha worked as an office clerk for 35 hours and as a cashier for 20 hours.

To solve this problem, we can set up a system of equations based on the information given. Let's denote the number of hours Kersha worked as an office clerk as [tex]$ x $[/tex] and the number of hours she worked as a cashier as [tex]$ y $.[/tex]

From the problem statement, we know the following:

1. Kersha earns $12.00 per hour at her office job.

2. Kersha earns $8.25 per hour at her cashier job.

3. Kersha worked a total of 55 hours in one week.

4. Kersha earned a total of $585 in one week.

Using this information, we can write two equations:

For the total number of hours worked:

[tex]\[ x + y = 55 \][/tex] (Equation 1)

For the total earnings:

[tex]\[ 12x + 8.25y = 585 \][/tex] (Equation 2)

Now we have a system of two equations with two variables. We can solve this system using substitution or elimination. Let's use the substitution method.

First, we can solve Equation 1 for [tex]$ x $:[/tex]

[tex]\[ x = 55 - y \][/tex]

Now we substitute [tex]$ x $[/tex] in Equation 2 with [tex]$ 55 - y $:[/tex]

[tex]\[ 12(55 - y) + 8.25y = 585 \][/tex]

Expanding the equation, we get:

[tex]\[ 660 - 12y + 8.25y = 585 \][/tex]

Combining like terms, we get:

[tex]\[ -3.75y = 585 - 660 \][/tex]

[tex]\[ -3.75y = -75 \][/tex]

Dividing both sides by -3.75 to solve for [tex]$ y $[/tex], we get:

[tex]\[ y = \frac{-75}{-3.75} \][/tex]

[tex]\[ y = 20 \][/tex]

Now that we have the value of [tex]$ y $[/tex], we can find [tex]$ x $[/tex] using Equation 1:

[tex]\[ x = 55 - y \][/tex]

[tex]\[ x = 55 - 20 \][/tex]

[tex]\[ x = 35 \][/tex]

Therefore, Kersha worked 35 hours as an office clerk and 20 hours as a cashier. The correct option is:

Office clerk: 35 hours; cashier: 20 hours.

!!!!!!!!PLEASE HURRY !!!!!!!! The length of the base of a rectangular prism is 8 inches. The width of the prism is 4 1/2inches, and the height is 3 1/2
inches. What is the volume of the prism?

4 A) 84 in3

B) 921

C) 104 in3

D) 126 in3

Answers

Answer:

It is b

Step-by-step explanation:

Given right triangle abc with altitude cd find ad ab and dc

Answers

Assuming the vertex is at c, The Pythagorean theorem tells you
.. ab = √(ac^2 +bc^2)

Because all the triangles are similar,
.. cd/bc = ac/ab
.. cd = ac*bc/√(ac^2 +bc^2)

Likewise,
.. ad/ac = ac/ab
.. ad = ac^2/√(ac^2 +bc^2)

Your segments are
.. ad = ac^2/√(ac^2 +bc^2)
.. ab = √(ac^2 +bc^2)
.. dc = ac*bc/√(ac^2 +bc^2)

To make each costume, Rachel uses 6 yards of material and 3 yards of trim. Suppose she uses a total of 48 yards of material to make several costumes. How many yards of trim does she use? Write the rule you used to find the number of yards to trim

Answers

[tex]48 \div 6 = 8 \\ 8 \times 3 = 24[/tex]

Rachel used a total of 48 yards of material which is the equivalent to making 8 costumes without trim. Since each costume needs 3 yards of trim you would multiply the trim by the costumes, 3x8, which would be 24 yards of trim.

(48/6)3=24

(f/6)3=t f= total fabric used t=total trim used

Approximately 50% of babies born are boys. Five coins are tossed 60 times and the coins showed two tails out of the five coins 40 times. Determine the experimental probability of a woman having 2 boys out of 5 children.

Answers

The experimental probability that a woman will have two boys out of five children is equal to 0.4 or 40%.

find the equation of the circle with center at (-3,1) and through the point (2,13)

Answers

Try this option:
1. if centre of the circle is O(-3;1) and P(2;13), then OP=√(5²+12²)=13=r (radius);
2. in common view an equation of the circle is: (x-a)²+(y-b)²=r², where (a;b) is the centre.
Using this: (x+3)²+(y-1)²=13²

can somebody please show me how to find A? thanks

Answers

Hello,
Answer C

Using Thales, 3/8=5/A==>A=5*8/3=40/3

Find the first four terms of the sequence an=4-2n

Answers

Answer:

E2020

Step-by-step explanation:

The four successive terms of the given ap series by rule [tex]a_{n}[/tex] = 4 - 2n will be 2, 0, -2, and -4.

What is Arithmetic progression?

The difference between every two successive terms in a sequence is the same this is known as an arithmetic progression (AP).

The arithmetic progression has wider use in mathematics for example sum of natural numbers.

Natural number = 1,2,3,4,5,6,7,8...

Now it has the same difference between any two consecutive terms d =2-1 = 3-2.

Given the rule for nth term of ap series

[tex]a_{n}[/tex] = 4 - 2n

Now,

First term (n = 1) ⇒ 4 - 2(1) = 2

Second term (n =2) ⇒ 4 - 2(2) = 0

Third term (n = 3) ⇒ 4 - 2(3) = -2

Fourth term (n = 4) ⇒4 - 2(4) = -4

Hence "The four successive terms of the given ap series by rule [tex]a_{n}[/tex] = 4 - 2n will be 2, 0, -2, and -4.".

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Does the following represent growth or decay y=4x

Answers

Hey there! :D

We can plug in numbers to see if it does.

y=4(1)

y=4

y=4(2)

y=8

This represents growth. When the input (x) increase, the output (y) increases.

I hope this helps!
~kaikers

Dwayne wants to buy a bowling ball that has a price of $120. As a member of a bowling league, he is entitled to a 15% discount off the price of the bowling ball. He will also have to pay 6% sales tax on the discounted price of the bowling ball. Dwayne thinks that the final price of the bowling ball can be determined by taking 9% off the original price. Is Dwayne correct? Support your answer with a detailed explanation.

Answers

no, because
$120-15%=$102
$102+%6=$108.12

so %6 represents tax
and 15% is his discount

if you were to take away %9 then you would get $109.20
$120-9%=109.20
so Dwayne is incorrect, because $108.12 ( his true final price) isn't equal to $109.20 (the price it would be if it was 9% off)

I hope this helps!

No, Dwayne is not correct.

What is mean by Percentage?

A number or ratio that can be expressed as a fraction of 100 or a relative value indicating hundredth part of any quantity is called percentage.

To Calculate the percent of a number , divide the number by whole number and multiply by 100.

Given that;

Dwayne wants to buy a bowling ball that has a price of $120.

And, As a member of a bowling league, he is entitled to a 15% discount off the price of the bowling ball. He will also have to pay 6% sales tax on the discounted price of the bowling ball.

Now,

Here, Dwayne wants to buy a bowling ball that has a price of $120.

Hence, After 15% discount the price is,

⇒ 15% of 120

⇒ 15 x 120 / 100

⇒ $18

Hence, After discount the price is,

⇒ 120 - 18

⇒ $102

And, He will also have to pay 6% sales tax on the discounted price of the bowling ball.

Hence, The price of ball is,

⇒ $102 + 6% of 102

⇒ $102 + $6.12

⇒ $108.12

Since, Dwayne thinks that the final price of the bowling ball can be determined by taking 9% off the original price.

Hence, We can formulate;

⇒ $120 - 9% of 120

⇒ $120 - 10.8

⇒ $109.2

Thus, Dwayne is not correct.

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On Monday, more than 500 people attended a county fair. Fourteen of the people who attended the fair that day were selected at random and asked how many rides they went on that day.
a.0
b. 2.8
c. 3
d.8

Answers

3 was the mode of the number of rides the people went that day because it appeared 3 times than the other numbers 0,1, and 2 which appeared only 2 times in the chart
Hope this helps!:)

The Answer To This Is C. 3

LEon made 4 liters of lemonade for the party, but it was too strong, it was 14% lemon juice. How much 8% lemonade should he add to make a mixture that is 10% lemon juice?

can someone show me how to solve this using the table or bucket method? thanks

Answers

Item Number of Liters Percentage of LemoneA 4 14%B x 8%Result 4+x 10%
For a mixture of solutions to form a resulting solution, we know
V1 * N1 + v2 * N2 = V * N
where, V1 = Volume of mixture of 1 N1 = Concentration of mixture 1V2 = Volume of mixture of 2 N2 = Concentration of mixture 2
V = volume of mixture N = Concentration of mixture
So solving we get:
(4+x)*10 = 4*14 + x * 8or, 10x-8x = 4*14-4*10or, 2x = 16or x = 8
so 8 litres of the solution B must be added to the solution

the figure is made of up of a cone and a cylinder, to the nearest whole number what is the approximate volume of this figure. PLEASE HELP FAST

Answers

The total volume is the sum of volume of cone and volume of cylinder.

Volume of cylinder = πr²h
π = 3.14
r = 4/2 = 2 mm
h = 2 mm

So, volume of cylinder equals:

[tex]3.14 *(2)^{2}*2 =25.12[/tex] mm³

Volume of cone = [tex] \frac{1}{3} \pi r^{2}h [/tex]
π = 3.14
r = 2 mm
h = 3 mm

So, volume of cylinder equals:

[tex] \frac{1}{3}*3.14* (2)^{2}*3=18.84 [/tex]mm³

Thus, total volume of the figure = 25.12 + 18.84 = 43.96 mm³

each week Samantha can pay as much $15 for her school at lunch. Write an inequality showing how much Samantha spends at lunch.

Answers

15 is less than or equal to x

Let us say Samantha spends $x for her school at lunch every week.

We are given that she can spend as much as $15 every week for her school at lunch every week.

As much as stands for maximum quantity that she can spend.

So $15 is the maximum she can spend.

Writing an inequality,

[tex] x \leq 15 [/tex]

a pieace of cheese is in the shape of a triangular prism.the dimensions of the cheese are shown below

what is the surface area of the piece of cheese

a)14.5
b)20.5
c)29
d)32

Answers

As you can see in the diagram, the triangular prism has the following faces:
1) Two triangular faces
2) Three rectangular faces.

Surface area is the SUM of the areas of all of the faces.
Let us find these faces one by one:

1.
As you know, the area of the triangle is:
[tex] \frac{1}{2} * base * height [/tex]

Since, the base = 6 inches, and height = 4 inches;
Therefore, The area of ONE triangle = (1/2) * 6 * 4 = 12 inches squared.

In triangular prism, there are two triangles, therefore,
Two triangular faces = 2 * 12 inches = 24 inches squared --- (A)

2.
Now let us find the areas of three rectangular faces...
Since, two of the three rectangular faces are the same, therefore, we would find the area of one rectangular face, and multiple the result with two to get the total area of two rectangular faces.

Area of one rectangular face = base * height.
Since, base = 0.5 inches, height = 5 inches, therefore,
Area of one rectangular face = 0.5 * 5 = 2.5 inches squared.

Now that we have one rectangular face, therefore,
Area of two rectangular faces = 2 * 2.5 = 5 inches squared.

The area of the third rectangular base = 6 * 0.5 = 3 inches squared

Therefore,
The area of the three rectangular faces = 5 + 3 = 8 inches squared --- (B)

Now add both "area of two triangular faces(A)" and "area of three rectangular faces(B)" to get the final surface area of the triangular prism.

Surface Area of the triangular prism = Area of Two Triangular faces + Area of Three Rectangular faces

Surface Area = 24 + 8 = 32 inches squared

The surface area of the triangular prism = 32 inches squared.

The correct option is: d

-i

Answer:

Answer is d

Step-by-step explanation:

sorry that im 4 years late

Complete the table of values for the linear equation -2x-5=30 brainly. Enter your answers in the boxes.

Answers

-2x-5=30
-2x=30+5
-2x/-2=35/-2
X=-17.5

The value of x is x = -17.5.

The linear equation in question is -2x - 5 = 30. To complete a table of values for this equation, solve for x first:

Add 5 to both sides of the equation to isolate the term with x: -2x = 35.

Divide both sides by -2 to solve for x: x = -17.5.

Now that you have the value of x, you can fill in the table with x = -17.5, since a table of values typically includes various values for x and the corresponding values for the equation. However, in this case, the equation is simply solved for a single value of x without needing different values for it.

Other Questions

A sample of 26 elements from a normally distributed population is selected. the sample mean is 10 with a standard deviation of 4. the 95% confidence interval for is (MC) Read the following excerpt from the article "Vision, Voice and the Power of Creation: An Author Speaks Out," by T. A. Barron, and answer the question that follows: Another way to tap the power of imagination is through place. My own background as a writer is rooted in nature, having grown up reading Henry David Thoreau, Rachel Carson, and John Muir long before I ever dipped into Madeleine L'Engle, Lloyd Alexander, Ursula Le Guin, E. B. White, or J.R.R. Tolkien. My early writings were really nature journals; at nine, I wrote a complete biographyof a tree. (It was a once-majestic chestnut tree not far from my home.) So it should come as no surprise that I view place as much more than just a setting for a story. It is, in truth, another form of character, no less alive and complex, mysterious and contradictory, than the richest character in human form. What does the author imply when he writes, "Another way to tap the power of imagination is through place"? (10 points) which development in the 20th century most reflects the increasing power of the president La habitacin tiene un cuarto de _____ privado. why was the south not supportive of a national transportaton system?A. they had no reason to travel beyond GeorgiaB. they used rivers to transport most of their goods C. they did not want it to be easier for Native Americans living in Florida to attack themD. Southerners had already developed a transportation system among Southern states, made up of roads and highways "when people end a bad marriage, they are likely to experience _____ happiness as single people than their married counterparts." Ancient civilizations learned by trial and error that the most important function of a wine vessel is: What do you need to add 13/4 to make 4 Round 8.414 to the nearest hundredth What is the equation of the line that is parallel to the line 5x + 2y = 12 and passes through the point (2, 4)? y = x 1y = x + 5y = x 1y = x + 5 A paper cup has the shape of a cone with height 10 cm and radius 3 cm (at the top. if water is poured into the cup at a rate of 2cm3/s, how fast is the water level rising when the water is 5 cm deep? Elements with similar properties are locatedin the same row on the periodic tableon opposite ends of the periodic tablein the same column of the periodic tablenext to each other on the periodic table Which sentences contribute to a sense of hope in this excerpt from "The Story of an Hour" by Kate Chopin? She wept at once, with sudden, wild abandonment, in her sister's arms. When the storm of grief had spent itself she went away to her room alone. She would have no one follow her. There stood, facing the open window, a comfortable, roomy armchair. Into this she sank, pressed down by a physical exhaustion that haunted her body and seemed to reach into her soul. She could see in the open square before her house the tops of trees that were all aquiver with the new spring life. The delicious breath of rain was in the air. In the street below a peddler was crying his wares. The notes of a distant song which someone was singing reached her faintly, and countless sparrows were twittering in the eaves. There were patches of blue sky showing here and there through the clouds that had met and piled one above the other in the west facing her window. She sat with her head thrown back upon the cushion of the chair, quite motionless, except when a sob came up into her throat and shook her, as a child who has cried itself to sleep continues to sob in its dreams. Which of the following is not a best practice for soil conservation?Question 1 options:Mulchingcovering the soil with wood chips or other protective coverMechanical methodsbuilding structures to improve drainage and decrease erosionCrop managementchanging planting patterns & planting cover cropsBioresurfacing- increasing land and agriculture usage 6. Which of the following defines persuasive writing? A. writing that uses facts to explain B. writing that creates a vivid picture of someone or something C. writing that tells a story D. writing that attempts to convince the reader to accept a position or argument What is a particulate?a compound of oxygen and another elementa colorless, odorless radioactive gasa tiny solid suspended in the atmospherea compound of carbon, chlorine, and fluorine What items resemble the path of light when it travels through space? In decimal form, to the nearest tenth, what is the probability that a randomly selected Riverside High School student is in twelfth grade? A women has twice as many dimes as quarters in her purse.If the dimes were quarters and the quarters were dimes,she would have $1.20 more than she now has.How many of each does she have? Charles and francis darwin concluded from their experiments on phototropism by grass seedlings that the part of the seedling that detects the direction of light is the

A newborn child receives a ​$9,000 gift toward a college education from her grandparents. How much will the ​$9,000 be worth in 18 years if it is invested at 7.6% compounded​ quarterly? Round to the nearest cent.

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A newborn child receives a $9,000 gift toward a college education from her grandparents. How much will the $9,000 be worth in 18 years if it is invested at 7.6% compounded quarterly? Round to the nearest cent.