Find the final amount of $1000 investment after 9 years at 8% interest compound quarterly

Answers

Answer 1

Here's the equation for one year:
1000 + 0.08(1000)
But because it is 9 years:
1000 + 9(0.08(1000))
1000 + 0.72(1000)
We can make it simpler:
1.72(1000)
Multiply:
1720
You will have $1720

Related Questions

How many different ways can a family visit Philadelphia, Baltimore, and Washington? 3 6 12

Answers

This is a problem regarding permutation.

[tex]P\left(3,3\right)=3!=3\times 2\times 1=6[/tex]

There are 6 different ways.

Answer:

Answer is 6 ways

Step-by-step explanation:

Given that a family wants to visit three different places as Philadelphia, Baltimore, and Washington.

We have to find the number of ways these three can be visited.

Here this is a question of permutation since order matters.

There are 3 cities and these can be visited in 3P3 ways =3!

=3x2x1 =6 ways

There are in total 6 different ways that the family can visit three different places as Philadelphia, Baltimore, and Washington.

Hey can you please help me posted picture of question

Answers

A compound event is an event that consists of more than one simple event. The answer is option C. because option C. consists of two events, the rolling of one die followed by the rolling of another die. All other options are a single event.

Find the area of a rectangle with a length of (4x^2) and a width of (x+6)

Answers

Substitute the given values into the formula for area of a rectangle.
area = length*width
area = (4x^2)*(x +6)
Use the distributive property to eliminate parentheses.
area = 4x^3 +24x^2

Solve the system of equations algebraically 5x - 3y = 6 6x - 4y = 2

Answers

Answer:

[tex]x=9[/tex] and [tex]y=13[/tex]

Step-by-step explanation:

We have been given a system of equations. We are asked to solve our given system algebraically.

[tex]5x-3y=6...(1)[/tex]

[tex]6x-4y=2...(2)[/tex]

From equation (1), we will get:

[tex]x=\frac{6+3y}{5}[/tex]

Upon substituting this value in equation (2), we will get:

[tex]6(\frac{6+3y}{5})-4y=2[/tex]

[tex]\frac{36+18y}{5}-4y=2[/tex]

[tex]\frac{36+18y}{5}-\frac{5*4y}{5}=2[/tex]

[tex]\frac{36+18y-20y}{5}=2[/tex]

[tex]\frac{36-2y}{5}=2[/tex]

[tex]\frac{36-2y}{5}*5=2*5[/tex]

[tex]36-2y=10[/tex]

[tex]36-36-2y=10-36[/tex]

[tex]-2y=-26[/tex]

[tex]\frac{-2y}{-2}=\frac{-26}{-2}[/tex]

[tex]y=13[/tex]

Upon substituting [tex]y=13[/tex] in equation (1), we will get:

[tex]5x-3(13)=6[/tex]

[tex]5x-39=6[/tex]

[tex]5x-39+39=6+39[/tex]

[tex]5x=45[/tex]

[tex]\frac{5x}{5}=\frac{45}{5}[/tex]

[tex]x=9[/tex]

a disk jockey wants to select five songs from a new CD that contains 12 songs. How many ways can a disc jockey choose 5 songs

Answers

Well this is a permutation/combination problem. If the order that the four songs is in does not matter then it will be a combination, if the order does matter it will be a permutation.

The formula for combinations is: n!/r!(n-r)! where n is the total number possible options and r is the number taken at a time. For this problem n = 12 and r = 5

12!/5!7! = 792 different possible combinations.

The formula for a permutation is n!/(n-r)! where n and r represent the same things as above.

12!/7! = 95,040 different possible permutations

The reason for more permutation than combinations is because if you have 12 songs think of them as 1,2,3,4,5,6,7,8,9,10,11,12. Under a combination songs 1,3,6,9 and 3,6,1,9 are the same, but in a permutation the order matters so these are both different possible outcomes.

[tex]\text {Number of ways} = C(12, 5) = \dfrac{12 \times 11 \times 10 \times 9 \times 8}{1 \times 2 \times 3 \times 4 \times 5} = 792[/tex]

Answer: There are 792 ways to pick 5 songs from 12 songs.

£54 in the ratio 5:4

Answers

add the ratio together: 5:4 becomes 5+4 = 9

divide the amount by 9:

54 / 9 = 6

multiply 6 by both 5 and 4

6 *5 = 30
6 * 4 = 24
30 and 24 are two amounts

1¼ gallons equals how many pints?

Answers

Answer:

10 pints

Step-by-step explanation:

There are 8 pints in a gallon, so ...

(1.25 gal) × (8 pt/gal) = 10 pt

Hey can you please help me posted picture of question

Answers

The correct answer fot the problem shown in the figure attached is the option B, which is:

B. Empirical

The empirical probability is the one that is determined experimentally, repeating once many times under the same conditions.
When performing more repetitions, the empirical probability tends to establish a value that coincides with the theoretical probability of the event.
In this case, when the coin was tossed 10 times, it could be determined that the probability of occurrence of heads or tails was not 50%.
Therefore, the answer is:
B: Empirical

When ordering a student desk priced at $69.00, the shipping charges are 6%. What is the total cost of the desk?

Answers

Since the desk is $69.00 and the shipping charges are 6%

69*.06= 4.14

Your tax would be $4.14 so,

$4.14+$69.00= A total of $73.14

Shipping charges = 6% x $69 = 0.06 x 69 = $4.14

Total cost = $69 + $4.14 = $73.14

Answer: $73.14

I need help on this please

Answers

Answer: the points that show the maximum and you have to draw are:

(0, 1.5); (2, 1.5); (4, 1.5);(6,1.5),...

Explanation:

1) formula given:

h(t) = 0.5 sin (πt + π/2) + 1

2) You want the points (t, h) where h is maximum.

3) The mamimum of 0.5 sin (πt + π/2) + 1 is when 0.5 sin (πt + π/2) is maximum, and the maximum of 0.5 sin (πt + π/2) is when sin (πt + π/2) is maximum.

4) Now, the maximum of the sine function is 1, so you must solve this equation:

sin (πt + π/2) = 1.

5) As you know, sine function is equal to 1 when the argument is π/2 + 2nπ

So, find the first positive value of t doing

πt + π/2 = π/2

⇒ πt = 0 ⇒ t = 0

So, the first solution is t = 0.

Since the periodicity is 2π, the same value is obtained for t = 0, 2, 4, 6, ... 2n

6) The corresponding height is the same for all those t:

h(0) = 0.5 sin ( 0×t + π/2) + 1 = 0.5×1 + 1 = 1.5.

7) Therefore the points that you have to draw are: (0, 1.5); (2, 1.5); (4, 1.5);(6,1.5)...

I attach a figure just in case you need more help to visualize the answer.

Hey can you please help me posted picture of question

Answers

The code contains 4 letters and 3 numbers

Number of ways to select a letter = 26
So, number of ways to select 4 letters = 26 x 26 x 26 x 26 = 26⁴

Number of ways to select a number = 6
So, number of ways to select 3 numbers = 6³

Number of key code combinations = 26⁴ x 6³ = 98706816

So, option C is the correct answer

Mary has been $50 to spend on T-shirts from an online store. there is $10 shipping and handling fee and each t-shirt cost $5 which inequality represents the number of t-shirts s Mary can buy the answer choices are 5S + 10 greater than equal to 50, 5S + 10 less than equal to 50, 10s + 5 greater than equal to 50, 10s - 5 greater than equal to 50, 5S - 10 greater than equal to 50

Answers

Hello there!
The inequality that represents this situation is 5S + 10 is less than or equal to 50.
The $10 is just a fee, and you don't have to multiply it by anything. However, when the problem says each it means that you have to multiply the given number.
Hope this helped!

A local company employs a varying number of employees each year, based on its needs. The labor costs for the company include a fixed cost of $41,949.00 each year, and $28,826.00 for each person employed for the year. For the next year, the company projects that labor costs will total $1,483,249.00. How many people does the company intend to employ next year?

Answers

Answer:

Step-by-step explanation:

Let

x = number of employees each yeary = labor costs

The relationship between x and y can be represented through a linear equation.

y = a . x + b

where,

a is the slope

b is the y-intercept

The slope represents the cost per each person employed, that is, a = $28,826.00/person.

Then,

y = ($28,826.00/person) . x + b

Even if no person is hired (x = 0), there is a fixed cost of $41,949.00 (y = $41,949.00).

$41,949.00 = ($28,826.00/person) . 0 + b

b = $41,949.00

The final equation is

y = ($28,826.00/person) . x + $41,949.00

If the company will spend $1,483,249.00 (y = $1,483,249.00.),

$1,483,249.00 = ($28,826.00/person) . x + $41,949.00

1,441,300 = ($28,826.00/person) . x

x = 50 person (50 people)

The company intends to employ 50 people next year.

Use technology to determine an appropriate model of the data. (0,0), (1,3), (2,4), (3,3), (4,0)

f(x) = – x2 + 4x
f(x) = x2 - 4x
f(x) = - x2 + 4x - 1
f(x) = x2 - 4x + 1

Answers

A.

Each of the ordered pairs satisfies the expression.

Answer:

Option A.

Step-by-step explanation:

To determine an appropriate model of the data each data should satisfy the expression.

For function 1. f(x) = -x² + 4x

Now for each point

f(0) = 0 , f(1) = 3, f(3) = 3 and f(4) = 0

therefore the given points lie on the function.

For option 2

f(0) = 0, f(1) = -3, f(2) = -4, f(3) = -3 and f(4) = 0

Therefore points do not lie on the function.

For Option 3.

f(0) = -1, f(1) = 2, f(2) = 3, f(3) = 2 and f(4) = -1

Therefore the points do not satisfy the expression.

For option 4.

f(0) = 1, f(1) = -2, f(2) = -3, f(3) = -2 and f(4) = 1

Therefore, the points do not satisfy the expression.

Option A. is the correct option.

The base of a triangular prism is an equilateral triangle with a perimeter of 15in. If the height of the prism is 4in, find the surface area.

Answers

we know that
surface area=2*[area of the base]+perimeter of the base*height
find the area of the base

is an equilateral triangle
b=15/3----> 5 in
applying the law of sines to find the area
Area=(1/2)*b²*sin 60°------> area=(1/2)*5²*sin 60°----> 10.8253 in²

alternative method to find the area of the equilateral triangle
find the h value
applying the Pythagoras theorem
h²=5²-2.5²-----> h=√18.75-----> h=4.33 in
area=b*h/2----> area=5*4.33/2----> 10.8253 in²

surface area=2*[10.8253]+15*4-----> 81.65 in²

the answer is
81.65 in²

A sandwich shop offers the following toppings. How many two topping sandwiches can you make? -lettuce -tomato -bacon -cheese -mustard

A) 8
B) 10
C) 12
D) 20
Please include steps or explain how you got your answer! :)

Answers

The correct answer is: B) 10

Step 1:

To calculate the number of two-topping sandwiches you can make from the given toppings, you can use the combination formula:

[tex]\[C(n, k) = \frac{n!}{k!(n-k)!}\][/tex]

Where:

- [tex]$n$[/tex] is the total number of toppings available (5 in this case).

- [tex]$k$[/tex] is the number of toppings you want to choose (2 in this case).

- [tex]$C(n, k)$[/tex] represents the number of combinations.

Step 2:

Substituting the values:

[tex]\[C(5, 2) = \frac{5!}{2!(5-2)!}\][/tex]

[tex]\[C(5, 2) = \frac{5!}{2!3!}\][/tex]

[tex]\[C(5, 2) = \frac{5 × 4}{2 × 1}\][/tex]

[tex]\[C(5, 2) = \frac{20}{2}\][/tex]

[tex]\[C(5, 2) = 10\][/tex]

So, you can make [tex]$10$[/tex] two-topping sandwiches from the given toppings.

A 12 pack of soda is roughly $3.75. What is the cost per can of soda?

Answers

So you just need to divide the cost of 12 pack of soda by 12 pack of soda.

That would be $3.75 / 12 = $0.3125

So answer is $0.3125 per can of soda or you can round it to approximately $0.31 per can of soda.

Hope this helps.

QM Q6.) Write the slope-intercept equation of the function f whose graph satisifies the given conditions.

Answers

Greetings!

The equation of a line in slope-intercept form is:

y = mx + b

m is the slope
b is the y- intercept

What we need to do is to re-arrange 2x - 9y - 18 = 0. We wanna make it looks like y = mx + b

So, the equation is:

2x - 9y - 18 = 0

Subtract 2x - 18 from both sides

→ -9y = -2x + 18

Since we want y, we need to divide both sides by -9

[tex] \frac{-9y}{-9} = \frac{-2x + 18}{-9} [/tex]

Thus,

y = 2/9 x - 2 which is in the slope intercept form

Slope m = 2/9 and the y-intercept is = - 2

Given a line with slope m then the slope of a line perpendicular is:

[tex] m_{perpendicular} = - \frac{1}{m} [/tex]

[tex] m_{perpendicular} = - \frac{1}{2/9 } [/tex] = - 9/2

Thus,

The equation of the function is:

[tex]y = - \frac{9}{2} x - 2 [/tex]

Let me know if you have questions about the answer. As always, it is my pleasure to help students like you!

The height of a free falling object at time t can be found using the function, h(t) = - 12t2 + 36t. Where h(t) is the height in feet and t is the in seconds. Find the time when the object hits the ground

Answers

Given that height of the object can be found using the function h(t)=-12t²+36t, the time taken for the object to hit the ground is calculated as follows:
At the time the object hits the ground, height h(t)=0. Substituting this value in the equation we get:
0=-12t²+36t
solving for t we obtain.
12t²=36t
12t=36
hence
t=4
thus the time taken for the object to hit the ground is 4 seconds

An open box with a square base should be constructed. the bottom, should be constructed from a heavy duty cardboard that cost $3 per square inches and the sides from a medium duty cardboard that cost $2 per square inches. if the volume of the box must be 120 cubic inches, what should be the dimensions of the box in order to minimize the cost for the material?

Answers

I made several boxes with different sized square bases, such as 1x1, 2x2, 3x3, 4x4, 5x5, and 6x6. I calculated the heights of all of them, being 120, 30, 13.333, 7.5, 4.8, and 3.333 respectively. By using the $2/sq. in. for the sides and $3/sq. in. for the square base, I found that the box with the dimensions: 5x5x4.8 produced the most minimal cost at $267:

(5x4.8)x4 = 96 sq. in. x 2 = $192
5x5 = 25 sq. in. x 3 =$75

$192 + $75 = $267

write (-5,2) and (-5,6) in standard form [if you can describe how to do this for the future]

Answers

[tex]\bf \begin{array}{ccccccccc} &&x_1&&y_1&&x_2&&y_2\\ % (a,b) &&(~ -5 &,& 2~) % (c,d) &&(~ -5 &,& 6~) \end{array} \\\\\\ % slope = m slope = m\implies \cfrac{\stackrel{rise}{ y_2- y_1}}{\stackrel{run}{ x_2- x_1}}\implies \cfrac{6-2}{-5-(-5)}\implies \cfrac{6-2}{-5+5}\implies \stackrel{und efined}{\cfrac{4}{0}}[/tex]

now, an undefined slope, simply means a vertical line, check the picture below.

The music teacher has a list if 128 students who have signed up for music classes. The music teacher can register 6 students in each class. What is the LEAST number of classes needed for all the students to be registered in a class?

Answers

The least number of classes needed for all the students to be registered in a class is 21 classes.

128 divided by 6 is 21.3 so you will need at least 22 classes.

i need help with this

Answers

8. The mean of the grades (74) is substantially below the median (88), so the distribution is not symmetrical. Of course, half the grades are below the median, just as half are above the median. However, the mean being 88-74 = 14 points below the median means that the lower half of the grades will have an average at least twice that much, or 28 points, below the median. The distribution of grades must extend quite a bit further to the left of the median than it does to the right. Hence ...
B. The distribution is skewed left.

9. It seems likely the distribution has a number of low grades pulling the average down. There certainly exists the possibility that at least one of them qualifies as an outlier by being more than 1.5 times the IQR below the first quartile. That rule, however, only applies when the distribution is relatively symmetrical, which this one is not. There does not appear to be any recommended way to describe an outlier when the distribution is skewed and has a long tail.*
TRUE: The distribution likely has an outlier.

_____
* Math instruction these days rarely recognizes such subtleties. Since it is probable that at least one value is well below the bottom quartile, I've shown my guess at the expected answer as TRUE. In a real set of grades, I expect the tail of the distribution to have enough low grades that they cannot be considered to be outliers.

Identify the problem with the following poll.

A recent poll asked 82 college students 7 questions about their experience at college. When asked their age only 58 responded.

correlation and causality

loaded questions

nonresponse

self interest

Answers

It is Nonresponse. We can infer that the entire population cannot be made.

Find the sum: (x5 - 3x4 + x2 - 4) + (5x4 + 3x2 + 2x + 1). Enter your answer as a polynomial in descending order below, and use the caret (^) for exponents. For example, you would write as 4x^2.

Answers

For this case we have the following polynomials:
(x5 - 3x4 + x2 - 4)
(5x4 + 3x2 + 2x + 1)
Adding we have:
(x5 - 3x4 + x2 - 4) + (5x4 + 3x2 + 2x + 1)
= x ^ 5 + x ^ 4 (-3 + 5) + x ^ 2 (1 + 3) + 2x + (-4 + 1)
Rewriting we have:
= x ^ 5 + 2x ^ 4 + 4x ^ 2 + 2x - 3
Answer:
The sum of the polynomials is:
x ^ 5 + 2x ^ 4 + 4x ^ 2 + 2x - 3

In a right triangle, if the measures of the other two angles are 2x – 5 and 3x + 10, what are the measures of these two angles?

A. 30° & 60°

B. 29° & 61°

C. 50° & 40°

D. 51° & 39°

Answers

Sum of angles in a triangle = 180

2x – 5 + 3x + 10 + 90 = 180
5x + 95 = 180
5x = 85
x = 17

2x – 5 = 2(17) - 5 = 29
3x + 10 = 3(17) + 10 = 61

Answer: 29° and 61° (Answer B)

Answer: B. 29° & 61°

Step-by-step explanation:

Solve for e.

9e^2f=49

e=±√7f/3

e=±7√f/3

e=±7√f/3f

e=±√7f/3f

Answers

[tex]9e^{2}f=49[/tex]
Divide by the coefficient of e², multiply by f/f, then take the square root.
[tex]e^{2}=\dfrac{49}{9f}=\dfrac{49}{9f}\cdot \dfrac{f}{f}=\dfrac{49f}{9f^{2}}\\\\e=\pm \dfrac{\sqrt{7^{2}f}}{\sqrt{(3f)^{2}}}\\\\e=\pm \dfrac{7\sqrt{f}}{3f}[/tex]

The appropriate selection is ...
e = ±7√f/(3f)

Peter makes $7,000 a month plus some extra commission he makes 6% of everything he sells if Peter sold $55,000 of jewelry this month what his salary this month

Answers

Comment
I'm taking this to mean that he does not have to sell above 7000 to start getting a commission. Furthermore, he makes 6% on the full 55000.

Formula
T = Base Salary + 6% Total Sales
T = Take home salary
Base Salary = 7000
Total Sales = 55000

Substitute and Solve
T = 7000 + 6% * 55000 Change the % to a decimal
T = 7000 + 6/100 * 55000
T = 7000 + 0.06 * 55000
T = 7000 + 3300
T = 10300 dollars.

Conclusion
His take home salary = 10300 dollars <<<< answer.

Mr zucco baked a total of 270 cupcakes and muffins. After ue sold 1/3 of the cupcakes and baked 18 more miffins, he had twice as many cupcakes as muffins. How many cupcakes and muffins did mr. Zucco bake to begin with?

Answers

Let:

c = cupcakes
m = muffins

total = 270

c/3 = 2m
c + m = 270

solving for the variables with 2 eqs 2 unknowns

m = 38.57 = 39
c = 231.43 = 231

less 18 muffins initially

21 muffins
231 cupcakes

Find the sum of the first 10 terms for the sequence {21, 63, 189, . . . }.

5.2 × 1010

620,004

206,661

2730

Answers

The sum of n terms of a geometric sequence with first term "a" and common ratio "r" is given by
[tex]S_{n}=a\dfrac{r^{n}-1}{r-1}[/tex]
You have a=21, r=3, so the sum of 10 terms is
[tex]S_{10}=21\cdot \dfrac{3^{10}-1}{3-1}=620004[/tex]

The appropriate choice is the 2nd one:
620,004

The sum of the first 10 terms for the sequence given is 620,004.

What is Geometric sequence?

A geometric sequence, is a sequence of non-zero numbers where each term after the first is found by multiplying the previous one by a fixed, non-zero number called the common ratio.

Given is a geometric sequence, 21, 63, 189, . . . we need to find the sum of the first 10 terms,

Sum of n terms of GP = aₙ = arⁿ-1 / r-1,

a₁ = 21

r = 3

So,

a₁₀ = 21 × 3¹⁰-1 / 3-1

a₁₀ = 21 × 29,524

a₁₀ = 620,004

Hence the sum is 620,004.

Learn more about geometric sequence, click;

https://brainly.com/question/27852674

#SPJ2

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