Angel is going to invest in an account paying an interest rate of 6.5%
compounded continuously. How much would Angel need to invest, to
the nearest hundred dollars, for the value of the account to reach
$230,000 in 13 years?

A. The arc length of y=13x^(3/2) on the interval [4,6] is given by the integral ∫[4,6]√(1+(39x)^(2/3))dx. The arc length of y=√(4x) on the interval [0,4] can be expressed as an integral, but it is unclear whether it converges or diverges.

A. The arc length of a function y=f(x) on the interval [a,b] is given by the formula ∫[a,b]√(1+(f'(x))^2)dx. For the function y=13x^(3/2) on the interval [4,6], the derivative is f'(x) = (39/2)x^(1/2). Substituting this into the arc length formula gives ∫[4,6]√(1+(39x)^(2/3))dx.

B. The arc length of y=√(4x) on the interval [0,4] can also be expressed as an integral using the arc length formula, which becomes ∫[0,4]√(1+(2/x)^2)dx. However, it is uncertain whether this integral converges or diverges without evaluating it. Further analysis is needed to determine its convergence.

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Answer:

(4×6)(5×5)

20 × 30

(4×5)(6×5)

(2×5)(10×6)

a. The equation representing the water level L(x) (in ft), x days after January 1 is L(x) = 2.5 - 0.015x.

b. The inverse function for \(L^{-1}\) (x) is x = (2.5 - L)/0.015.

a. The function representing the water level L(x) (in ft), x days after January 1 can be written as:

L(x) = 2.5 - 0.015x

where x is the number of days after January 1.

b. To write an equation for \(L^{-1}\)(x), we need to find an expression for x in terms of L.

L(x) = 2.5 - 0.015x

0.015x = 2.5 - L

x = (2.5 - L)/0.015

Therefore, the equation for \(L^{-1}\)(x) is:

\(L^{-1}\)(x) = (2.5 - x)/0.015

This equation gives the number of days (x) required for the water level to reach a certain level (L).

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The question is -

Beginning on January 1, park rangers in Everglades National Park began recording the water level for one particularly dry area of the park. The water level was initially 2.5 ft and decreased by approximately 0.015 ft/day.

a. Write a function representing the water level L(x) (in ft), x days after January 1.

b. Write an equation for L^{-1} (x).

Answer:

18.4 cm

Step-by-step explanation:

Using Pythagoras rule:

Hypotenuse =

\( \sqrt{9 ^{2} + 16 ^{2} } \)

= 18.4 cm

Answer:

48 and 32

Step-by-step explanation:

both numbers get rounded by 8 going up and down rounding it to 40

The type of average that can be found is the median. The median is the middle value of the data set when the values are arranged in order. In this case, the median is 11, as shown by the line inside the box.

Value is the relative worth, merit, or importance of something. It is subjective and can be determined by a variety of factors, including personal preferences, beliefs, and economic forces. Value is a concept that can be applied to many different aspects of life, including economic goods, personal relationships, and objects. Value is determined by how much someone is willing to pay for something or how much someone needs something. In economics, value is determined by the market, which is based on supply and demand. In personal relationships, value is determined by the mutual respect, trust, and understanding between two people. In objects, value is determined by the sentiment and meaning it holds for the owner. Ultimately, value is a perception of worth, and its true value is subjective.

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Answer:

18

Step-by-step explanation:

7 correct for 2 incorrect

if you add 7 more correct and 2 more incorrect

14 correct, 4 incorrect. this is 10 more questions correct than incorrect

14+4 = 18

This means that there are 10 different possible results. Thus, there are 10 different possible values may result.

Let's consider two positive even integers less than (not necessarily distinct). When the sum of these two numbers is added to their product, how many different https://brainly.com/question/30241588https://brainly.com/question/30241588values may result?

Solution:The product of two even numbers will be even.

The sum of two even numbers will also be even. When we add an even number and an even number, the result is always even, and

even + even = even.

However, if we sum two different even numbers with their product, the result is always an odd number.

Even * Even = Even, and

even + even = even.

Even + Odd = Odd.

Therefore, we must find all possible sums of two even numbers. And then, we must determine how many of those sums are even.

Consider the following

:2 + 2 = 4, which is even

.2 + 4 = 6, which is even.

2 + 6 = 8, which is even.

2 + 8 = 10, which is even.

4 + 4 = 8, which is even.

4 + 6 = 10, which is even.

4 + 8 = 12, which is even.

6 + 6 = 12, which is even.

6 + 8 = 14, which is even.

8 + 8 = 16, which is even.

Only even numbers resulted from adding two even numbers. This means that there are 10 different possible results.

Thus, there are 10 different possible values may result.

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The sum of two positive even integers is always an even number, and their product is also an even number. When we add an even number to another even number, the result will always be an even number.

Let's consider two positive even integers, A and B. Since they are positive even integers, they can be expressed as 2x and 2y, where x and y are positive integers.

The sum of A and B is 2x + 2y = 2(x + y), which is always an even number.

The product of A and B is (2x)(2y) = 4xy, which is also an even number.

When we add the sum of A and B to their product, we get an expression:

(2x + 2y) + (4xy) = 2(x + y) + 4xy = 2[(x + y) + 2xy].

Let's define a new positive integer, Z = (x + y) + 2xy.

Now, we can see that the expression (2x + 2y) + (4xy) is equal to 2Z, which is always an even number.

Since the expression is always an even number, there are no different possible values that can result from the sum of two positive even integers less than Z.

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Answer:

Step-by-step explanation:

Well, you would just go left 1.3 on the x axis then down 6.6 on the y axis. not sure how i can graph that on here, but that explanation should be good enough.

I think you did this. I don't really know.

The total height of the iceberg is 38 meters and the total depth of the iceberg is 15 meters.

Height is a mathematical term that refers to the vertical distance between an object's top and base. Sometimes, it has the designation altitude. The measurement of an item along the y-axis in coordinate geometry is referred to as height in geometry.

The depth of an object is the separation between its closest and farthest ends. Jane, for instance, measures a box. Jane estimates the depth of the box by calculating the distance between the end of the box that is closest to her and the end that is farthest away.

Given, the height of an iceberg above the water is 23 meters.

And also given that the bottom of the iceberg is 15 meters below sea level.

Total height = above the water + below the water

Total height=23+15=38 meters

Depth= total height - iceberg above the water

Depth=38-23=15 meters

The total height of the iceberg is 38 meters.

The total depth of the iceberg is 15 meters.

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The total earnings of the bus driver in a year is $28500.

A function, according to a technical definition, is a relationship between a set of inputs and a set of potential outputs, where each input is connected to precisely one output.

The bus driver works 2000 hours each year and makes $14 per hour.

If the bus driver gets $50 for each new recruit he hired.

Let y be his total earnings and x be the number of new drivers he recruits.

Then his total earnings can be represented by the function:

y = 14 × 2000 + 50 × x

If the bus driver recruits x = 7 new drivers.

y = 28000 + 50 × 7

y = 28000 + 350

y = $28350

The total earnings of the bus driver are $2850.

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For example,

\(\frac{1}{2} *\frac{1}{2}\)

They both do have the same denominator, so we can multiply them.

We need to multiply the numerators.

Next, multiply the denominators.

We then get:

1/4

--

If the denominators are not the same, find the LCD (Least Common Denominator) of the two fractions. Then, follow above.

--

Need Help? Please leave a comment :D

Answer:

26

Step-by-step explanation:

w = 5 so 7w is 7 x 5 = 35 and x = 9 so it’s 35 - 9 which is 26

Answer:

45 square centimeters.

Step-by-step explanation:

Length(L) = 9 cm

breadth (b) = 5 cm

Area of the rectangle

= L * b

= 9 * 5

= 45 cm²

Hope it will help :)

Answer: 45 square centimeters

Step-by-step explanation: 9cm x 5cm = 45cm

As per the given costs, 80 notebooks were sold at the student government fundraiser.

Let the number of notebooks sold be = N

Let the number of t-shirts sold be = T

Setting the equation, representing the total number of items sold

N + T = 90

or N = 90 - T.

Setting the equation, representing the total amount -

6N + 12T = 600

Substituting this value of N into the second equation -

6(90 - T) + 12T = 600

540 - 6T + 12T = 600

6T = 600 - 540

6T = 60

T = 60 / 6

T = 10

Substituting the value of T back into the first equation to find the value of n or total notebooks -

N + 10 = 90

N = 90 - 10

N = 80

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The power series for the function, centered at 0.h(x) =−2x2 − 1=11 x 11 − x is H(x) = x + (-x^2) + x^3 + ...

We begin with the power series representation for 1/(1-x), which is given by:

1/(1-x) = 1 + x + x^2 + x^3 + ...

To obtain the power series for h(x), we need to multiply each term of the series by the corresponding power of x and then make the necessary modifications. Let's denote the power series representation of h(x) as H(x).

Multiplying each term of the series by x, we have:

x/(1-x) = x + x^2 + x^3 + ...

Now, to incorporate the -2x^2 - 1 term, we subtract 2x^2 from the above series:

x/(1-x) - 2x^2 = x + x^2 + x^3 + ... - 2x^2

Simplifying further, we have:

x/(1-x) - 2x^2 = x + (x^2 - 2x^2) + x^3 + ...

Combining like terms, we get:

H(x) = x + (-x^2) + x^3 + ...

This power series representation centered at 0 allows us to express h(x) = -2x^2 - 1 as a sum of terms involving powers of x.

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Answer:

white

Step-by-step explanation:

Answer: Mean

Step-by-step explanation: the mean, is the average or the expected value that measures the central value of a data set. It is found by adding all of the values in the data set and dividing it by the number of values.

Step-by-step explanation:

uploading the picture is an excellent way to make sure we get the original problem definition.

but I just answered this (even without the picture). so, you need it again ?

Answer:

1 dozen=12. 84/12=7. You answer SHOULD be 7:1 but I haven't done ratios in a while so don't quote me on it.

Step-by-step explanation:

Answer:

tbh im really not sure..if im right, then hallelujah!! but here... n=1/f-3

Step-by-step explanation:

im sorry its prob not right but i tried

Answer: 3

Step-by-step explanation: Your Answer Is 3.

Answer:

it's the first one. I

n my thinking

Answer:  43.1 degrees (choice B)

==================================================

Work Shown:

Use the law of sines

sin(A)/a = sin(C)/c

sin(A)/20 = sin(82)/29

sin(A) = 20*sin(82)/29

sin(A) = 0.68294349

A = arcsin(0.68294349)

A = 43.074088

A = 43.1 degrees

Answer:

43.1°

Step-by-step explanation:

Hello, just finished the quiz and the correct answer is 43.1 degrees.

Answer: its (4f 5) ^3

Step-by-step explanation:

Answer:

the answer is 11

Step-by-step explanation: