Mathematics High School

You receive $1,000 to put in the bank. You place it in an account that pays 6% annual interest compounded continuously. How much will you have in 12 years? Round the answer to the nearest dollar. SHOW WORK PLZ

Answers

Answer 1

The answer is $2054 grade

Answer 2

Answer:

2054.43$ = 2054$

Step-by-step explanation:

Here, by analyzing the question we get;

Principal= 1000$

Time (In years) = 12

Rate (Annual) = 6%

Now;

First convert R into decimal= 0.06 rate per year

Now solving the equation for A:

A=Pe^(rt)

=1000(2.71828)^(0.06*12)

=$2054.43

If you have any questions, just ask me in the comments

Related Questions

Find the area of this circle in square centimeters. Use 3.14 for π . Round to 2 decimal places if necessary. Enter only the number π

Answers

113.04 is the answer :)

Answer:

113.04 is the answer

Step-by-step explanation:

Use the formula for finding the area of a circle.

Area= pi times radius to the second power.

First you had to divide your diameter by 2 to get 6. Then 6 squared, to get 36. Then finally 36x3.14.

Please help I’ll give brainliest

Answers

Answer:

add

Step-by-step explanation:

The exponent "product rule" tells us that, when multiplying two powers that have the same base, you can add the exponents. In this example, you can see how it works. Adding the exponents is just a short cut! The "power rule" tells us that to raise a power to a power, just multiply the exponents.

Hope this is helpful

Answer:

Add

Step-by-step explanation:

Hope it helps you

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Thank You

The diameter of a circle is 9 m. Find the circumference \textit{to the nearest tenth}to the nearest tenth.

Answers

Answer:

[tex]C=28.3m[/tex]

Step-by-step explanation:

From the question we are told that:

Diameter [tex]d=9m[/tex]

Radius[tex]r=4.5m[/tex]

Generally the equation for Circumference of a circle is mathematically given by

[tex]C=2\pi r\\\\\C=2*\pi*4.5m[/tex]

[tex]C=28.3m[/tex]

Answer:

Step-by-step explanation:

From the question we are told that:

Diameter

Radius

Generally the equation for Circumference of a circle is mathematically given by

Have a good day

Step-by-step explanation:

Parallel to y = 3x − 2 and passes through (1, 4)

Answers

Answer:

y=3x + 1

Step-by-step explanation:

slope is same

insert coordinates into x and y values

determine y-intercept

Sum of two digit number is9.When we interchange the digits it is found that the resulting new number becomes twice the other number. What are the numbers

Answers

Answer:

4 and 5

Step-by-step explanation:

Let the numbers be x and y

If their sum is 9, hence;

x + y = 9 ....1

When reversed

10y+x = 2(10x+y)

10y+x = 20x + 2y

10y - 2y = 20x - x

8y = 19x

y = 10x/8 ...2

Substitute equation 2 into 1;

From 1;

x+y = 9

x +(10x/8) = 9

18x/8 = 9

18x = 72

x = 72/18

x = 4

Since x+y =9

y = 9-x

y =9-4

y = 5

Hence the numbers are 4 and 5

Which could be the missing data item for the given set of data if the median of the complete data set is 65?

66, 43, 35, 78, 74, 37, 65, 66, 76, 78, 80, 43, 56, 60

A. 71
B. 75
C. 69
D. 50

Answers

Answer:

B.) 75

Step-by-step explanation:

Answer: B 75

Step-by-step explanation:

Please help if can and show work

Answers

Answer:

Step-by-step explanation:

Question 1 of 10
Which of the following is equal to the rational expression when x#5?
x² - 25
X-5
A. x + 5
B. X-5
1
C
x+5
O D. X+5
X-5
SUBMIT

Answers

Answer:

A. x + 5

General Formulas and Concepts:

Pre-Algebra

Order of Operations: BPEMDAS

BracketsParenthesisExponentsMultiplicationDivisionAdditionSubtractionLeft to Right

Algebra I

Terms/CoefficientsFactoring

Step-by-step explanation:

Step 1: Define

Identify

[tex]\displaystyle \frac{x^2 - 25}{x - 5}[/tex]

Step 2: Simplify

Factor: [tex]\displaystyle \frac{(x - 5)(x + 5)}{x - 5}[/tex]Divide: [tex]\displaystyle x + 5[/tex]

Which is the graph of f(x) = (2) -x

Answers

Answer:

In other words y = 2-x

Put in some values of x and see which graph matches the given ys.

The last graph

Answer:

Step-by-step explanation:

I will give branliest if it let's me! Please help! I'll give 5 star rating, thanks and 40+ points!

Answers

Answer:

Step-by-step explanation:

These are corresponding angles if i remember correctly.

Answer:

Supplementary

Step-by-step explanation:

The angles add up to 180 degrees

Evaluate the following expression. You should do this problem without a
calculator.
In e^e
A. 0

B. e^e

C. 1

D. e

Answers

Answer:ln is called the natural log, or log to the base e. ln can also be written as

So, we can write the given expression as

The property of logs is:

This mean if the number a is raised to log whose base is the same as the number a itself, then the answer will be equal to the argument of the log which is x.

In the given case, the number e and the base of log are the same. So the answer of the expression will be the argument of log which is 6.

so, we can write

Thus, the correct answer is option D

Step-by-step explanation:

I believer the answer is D

You can identify sample spaces for compound events using organized lists, tables, and tree diagrams. Which of the three methods do you find easiest to use? Which method is the most helpful? Why? Use the Internet or another resource to find the definition of the Fundamental Counting Principle. What does this principle state? How can the principle be used to help you identify a sample space for a compound event? What are the limitations of using the Fundamental Counting Principle when determining the probability of an outcome? Support your answers with an example.

Answers

The fundamental counting principle is used to count the total number of possible outcomes that are in a situation.

What does the fundamental counting principle state?

The fundamental counting principle states that if there are n ways of doing something, as well as m ways of doing another thing, then there are n×m ways to perform both of these actions.

The Fundamental Counting Principle helps when determining the sample space of probability as it figures out the total number of ways the combination of events can occur. Therefore, it is used as a guide when determining the sample space of a probability.

Lastly, the limitation is that the Fundamental Counting Principle is that it assumes that each basic event is equally probable, which does not necessarily have to be true.

Learn more about counting principle on:

https://brainly.com/question/24358027

Answer:

The fundamental counting principle is used to count the total number of possible outcomes that are in a situation

Step-by-step explanation:

The graphs of g(x) = x³- ax² + 6 and h(x) = 2x² + bx + 3 touch when x = 1. Therefore, the tangent to
the curve of g at x = 1 is also the tangent to the curve of h at x = 1.
Determine the coordinates of this point of contact of the two graphs.

Answers

Answer:

[tex](1,\, 10)[/tex].

Step-by-step explanation:

Differentiate each function to find an expression for its gradient (slope of the tangent line) with respect to [tex]x[/tex]. Make use of the power rule to find the following:

[tex]g^\prime(x) = 3\, x^2 - 2\, a\, x[/tex].

[tex]h^\prime(x) = 2\, (2\, x) + b = 4\, x + b[/tex].

The question states that the graphs of [tex]g(x)[/tex] and [tex]h(x)[/tex] touch at [tex]x = 1[/tex], such that [tex]g^\prime(1) = h^\prime(1)[/tex]. Therefore:

[tex]3 - 2\, a = 4 + b[/tex].

On the other hand, since the graph of [tex]g(x)[/tex] and [tex]h(x)[/tex] coincide at [tex]x = 1[/tex], [tex]g(1) = h(1)[/tex] (otherwise, the two graphs would not even touch at that point.) Therefore:

[tex]1 - a + 6 = 2 + b + 3[/tex].

Solve this system of two equations for [tex]a[/tex] and [tex]b[/tex]:

[tex]\begin{aligned}& a + b = 2 \\ & 2\, a + b = -1\end{aligned}[/tex].

Therefore, [tex]a = -3[/tex] whereas [tex]b = 5[/tex].

Substitute these two values back into the expression for [tex]g(x)[/tex] and [tex]h(x)[/tex]:

[tex]g(x) = x^3 + 3\, x^2 + 6[/tex].

[tex]h(x) = 2\, x^2 + 5\, x + 3[/tex].

Evaluate either expression at [tex]x = 1[/tex] to find the [tex]y[/tex]-coordinate of the intersection. For example, [tex]g(1) = 1 + 3 + 6 = 10[/tex]. Similarly, [tex]h(1) = 2 + 5 + 3 = 10[/tex].

Therefore, the intersection of these two graphs would be at [tex](1,\, 10)[/tex].

If a is a non-zero constant, determine the vertex of y = -3(x + a)^2 - 6

Answers

Answer:

Vertex is (-a, -6), where a ≠ 0.

General Formulas and Concepts:

Algebra I

Coordinates (x, y)Quadratics

Algebra II

Vertex Form: y = a(bx - h)² + k

a is the vertical scale factorb is the horizontal scale factor(h, k) is the vertex

Step-by-step explanation:

Step 1: Define

y = -3(x + a)² - 6

↓ Identify variables

a = -3

b = 1

(h, k) = (-a, -6)

Find how many kilometers they traveled by
bike.
Enter the correct answer.
George and Carmen went on a bicycle
trip. They took a bus to their starting
point, and then biked the rest. They
traveled 325 kilometers in total, and
they biked 75 kilometers more than they
were bussed.
000
DONE
Clear all
2
Let x = kilometers traveled by bike and
y = kilometers traveled by bus. Find how many kilometers they traveled by bike

Answers

Answer:

Step-by-step explanation:

Biking is x and bussing is y. We know that the total distance is 325. Thus, the first equation in this system is

x + y = 325 (which says that the km traveled by bike plus the km traveled by bus totaled 325 km).

We also know that the pair biked 75 km more than they rode, giving us the second equation in our system:

x = y + 75. Now we use simple substitution and plug y + 75 in for x in the first equation:

(y + 75) + y = 325 and

2y + 75 = 325 and

2y = 250 so

y = 125 km. They rode the bus for 125 km and biked for 325 - 125 which is 200. And the difference is 75 km, as it should be!

The area of a rectangle is given as x^2+ 5x+6. Which expression represents either the
length or width of the rectangle?
a) (x-3)
b) (x + 6)
c) (x + 1)
d) (x+3)

Answers

Answer:

d) x + 3

Step-by-step explanation:

= x² + 5x + 6

Factorise :-

= x² + 2x + 3x + 6

= x(x + 2) + 3(x + 2)

= (x + 2)(x + 3) [Taking common]

Here we are getting (x + 3) as a factor of x² + 5x + 6 which will be either length or the width

Drag the tiles to the correct boxes to complete the pairs. Not all tiles will be used. Match the questions with their solutions. 5 80 6 200 8 150 Joshua has 11 baskets of apples. In total, he has 88 apples. How many apples are there in 1 basket? arrowRight Mindy can type 40 words per minute. How many words can she type in 5 minutes? arrowRight Jessica had 20 balloons, which she distributed among 4 of her friends. How many balloons did each friend get? arrowRight Max can make 1 greeting card in 5 minutes. How many greeting cards can he make in 30 minutes? arrowRight

Answers

Answer:

1.) 8 ; (2.) 200 ; (3.) 5 ; (4.) 6

Step-by-step explanation:

1.)

Number of apple baskets = 11

Total number of apples = 88

Number of apples per basket = 88 / 11 = 8

2).

Number of words per minute = 40

Number of words that can be typed in 5 minutes :

40 * 5 = 200 words

3.)

Number of balloons = 20

Number of friends = 4

Number of balloons per friend = 20/4 = 5

4.)

Time required to make 1 greeting card = 5 minutes

Number of greeting cards that can be made in 30 minutes :

30 minutes / 5 minutes = 6 greeting cards

Which expression is equivalent to 10^-4

Answers

Answer:

[tex] \frac{1}{10000} [/tex]

Step-by-step explanation:

[tex] {10}^{ - 4} [/tex]

[tex] \frac{1}{ {10}^{4} } [/tex][tex] \frac{1}{10000} [/tex]Hope it is helpful...

4x³ - 4x + 3 is divided by (2x-1)

Answers

Complete question:

4x³ - 4x + 3 is divided by (2x - 1). Find the quotient and the remainder

Answer:

The quotient = 2x² + x - ³/₂ and the remainder = ³/₂

Step-by-step explanation:

Given function;

4x³ - 4x + 3 divided by (2x-1)

Use long division method to obtain the remainder and the quotient.

2x² + x - ³/₂

-----------------------

2x - 1 √4x³ - 4x + 3

- (4x³ - 2x²)

----------------------------

2x² - 4x + 3

- ( 2x² - x)

-----------------------------

-3x + 3

-(-3x + ³/₂)

----------------------------

³/₂

Therefore, the quotient = 2x² + x - ³/₂ and the remainder = ³/₂

What is the domain of y= log 5x

Answers

Answer:

all positive real numbers, (0, ∞)

Step-by-step explanation:

The log function is not defined for 0 or for negative numbers.

The domain of the log function is all positive real numbers.

Answer: all positive real numbers

The city of Plainview is building a new sports complex. The complex includes eight baseball fields, four soccer fields, and three buildings that have concessions and restrooms. Arrange the structures in the sports complex using translations, reflections, and rotations so that the final arrangement satisfies each of these criteria:
All the fields and buildings fit on the provided lot.
Each field is adjacent to at least one building for ease of access.
Two or more fields can be adjacent, but no two fields should share the same boundary (e.g., a sideline or a fence.)
For safety reasons, no baseball field should have an outfield (the curved edge) pointed at the side (the straight edges) of another baseball field.

Answers

Answer:

See explanation

Step-by-step explanation:

(Please Find Diagram in the attachment)⇒Answer Drawing is Given There

According to the question,

Given that, The city of Plainview is building a new sports complex. The complex includes eight baseball fields, four soccer fields, and three buildings that have concessions and restrooms. Now, Arrange the structures in the sports complex using translations, reflections, and rotations so that the final arrangement satisfies each of these criteria: All the fields and buildings fit on the provided lot.Each field is adjacent to at least one building for ease of access.Two or more fields can be adjacent, but no two fields should share the same boundary (e.g., a sideline or a fence.) For safety reasons, no baseball field should have an outfield (the curved edge) pointed at the side (the straight edges) of another baseball field

Find the distance between the points (1,5) and (3,0). Round your answer to the nearest tenth.

Answers

Answer:

5.4 units

Step-by-step explanation:

Hi there!

[tex]d=\sqrt{(x_2-x_1)^2+(y_2-y_1)^2}[/tex] where two given points are [tex](x_1,y_1)[/tex] and [tex](x_2,y_2)[/tex]

Plug in the given points (1,5) and (3,0)

[tex]d=\sqrt{(3-1)^2+(0-5)^2}\\d=\sqrt{(2)^2+(-5)^2}\\d=\sqrt{4+25}\\d=\sqrt{29}\\d=5.4[/tex]

Therefore, the distance between the two points when rounded to the nearest tenth is 5.4 units.

I hope this helps!

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John had a total of $150. He purchased a DVD box set which costs $50 as well as a single DVD. He is left with $75. Which equation could be used to find the cost p of the DVD?

a. 150 + 50 + p = 75

b. 150 + 50 + 75 = p

c. 150 − 50 + 75 = p

d. 50 + p + 75 = 150

ps: absurd answers will be reported !!

Answers

Answer:

please mark as brilliant

The answer is D because it is

21. Glass Vase You are taking a glass-blowing class and have created a vase in the
shape of a sphere. The vase will have a hole in the top so you can put flowers in it
and it will sit on a stand. The radius of your vase is 21 inches. Use the formula
= ar to write an expression for the volume of your vase.
V

Answers

Answer:

V = 12,348·π

Step-by-step explanation:

The given parameters of the glass Vase are;

The shape of the glass vase = A sphere

The radius of the vase, r = 21 inches

The given formula for finding the volume of a sphere is [tex]V = \dfrac{4}{3} \cdot \pi \cdot r^3[/tex]

Therefore, when r = 21 inches, we get;

[tex]V = \dfrac{4}{3} \cdot \pi \cdot 21^3 = {12,348 \cdot \pi}[/tex]

Therefore, the expression for finding the equation of the spherical glass vase, V = 12,348·π

Give reasons.
a.
Mass is a physical quantity.

Answers

Mass in the volume of matter present. Hence, mass is a physical quantity.

Plzz I beg someone to finish ALL of this :(. I’ve stayed up all night to do this but I couldn’t figure all of them out. Pls pls pls!!! ill mark you brainliest n I can give you a thank you such as 5 Stars in return. Please take your time and I hope you all have a amazing day!
(Spam/same words/diff pics/)

Answers

Answer:

Step-by-step explanation: