Arianna invests $5,000 into the stock market which earns 9% per year. In 30 years, how much will Arianna's investment be worth if interest is compounded continuously?​

Answer:

18 or 17

Step-by-step explanation:

Plan a= 2x + 10

plan b=  .25x + 40

2x + 10 = .25 + 40

       1.75x=30

x=17.14

Answer:

Step-by-step explanation:

∛(1331)

∛11*11*11  = 11

Answer:

Option B (Lucy says to multiply 4 x 4 = 16 because 2 x 4 = 8.) is the solution.

Step-by-step explanation:

Let's have a look at the image they've provided. (The identical picture is shown below. )

[tex]\left[\begin{array}{cc}2&8\\4&?\\5&20\end{array}\right][/tex]

Do you see a pattern here? Concentrate on the second row rather than the first. Both integers are multiplied by four, therefore 4 x 4 must be multiplied.

[tex]2 *4= 8\\5*4 = 20[/tex]

This indicates that option B is the right response. (Lucy says to multiply 4 x 4 = 16 because 2 x 4 = 8.)

Hope this helps! :D

Sample :

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Answer:

-22x-11

Hope this helped you, and have a good day!

100 m at a constant speed of 5.

the acceleration.

[tex]a = \frac{v - u}{t} [/tex]

[tex]a = \frac{100 - 100}{5} [/tex]

[tex]a = 0.00m | {s}^{2} [/tex]

Answer:

6a

Step-by-step explanation:

hexagon has 6 sides(im pretty sure lol), and 1 side is a. so 6 sides must be 6a

The value of the function is zero at negative 3, negative 1, and zero. And the graph of the function is given below.

A function is a statement, rule, or law that establishes the connection between two variables. In mathematics, functions are everywhere and are necessary for constructing physical connections.

Sketch a graph of the polynomial function given below.

[tex]\rm f(x) =x^3+4x^2+3x[/tex]

Use it to complete the following:

Then the factor of the polynomial will be

f(x) = x³ + 4x² + 3x

f(x) = x(x² + 4x + 3)

f(x) = x(x² + 3x + x + 3)

f(x) = (x)(x + 3)(x + 1)

The graph of the function is given below.

Then the value of the function is positive in the interval of (-3, -1) and the value of the function is negative in the interval of (-1, 0)

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Answer:

C

Step-by-step explanation: It has three sides

Step-by-step explanation:

all the tasks are the same type and have the same way of solution.

Example №1:
9[girls] + 11[boys]=20 persons. Then the probability to choose the first boy is: 11/20. After this choice, 9[girls]+10[boys]=19 persons. Then the probability to choose the 2-d boy is: 10/19. The final required probability is: 11/20 * 10/19 = 11/38.

P.S. all the details are in the attachment.

P.P.S. the suggetsted way is not the only one.

Answer:

40 1/2 or 40.5

Step-by-step explanation:

i used a calculator

We have found one solution to the equations that the two equations intersect at the point (2.5,-1.5).

The equation is actually a relationship between the numbers and the variables. In this question we have two equations y=2x²-6x+1 and y=-x+1 so by equating them we can find the value of x which is the intersecting point of the two lines.

Now the solution of the equations:-

y=2x²-6x+1

y=-x+1

2x²-6x+1 = -x+1

2x²=5x

x=5/2=2.5

y=-2.5+1=-1.5

Hence the one solution to the equations that the two equations intersect at the point (2.5,-1.5).

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Answer:

D

Step-by-step explanation:

Remark

What you are trying to solve for is the hypotenuse of a right triangle. You will use the sine to do it.

Givens

Base = 8 feet

angle = 35 degrees

hypotenuse = ?

Formula

Sin(35) = base / hypotenuse

Solution

Sin (35) = 8 / hypotenuse                Multiply both sides by the hypotenuse

hypotenuse * sin(35) = hypotenuse * 8/hypotenuse

hypotenuse * sin(35) = 8                  Divide by sin(35)

hypotenuse = 8/sin(35)                    Substitute value of sin(35)

hypotenuse = 8 / 0.5736

hypotenuse = 13.94

Answer

The ladder is about 14 feet long or D

Answer:

20° and 70°

Step-by-step explanation:

complimentary angle sum to 90°

let x be the compliment then the angle is 3x + 10 , so

x + 3x + 10 = 90 , that is

4x + 10 = 90 ( subtract 10 from both sides )

4x = 80 ( divide both sides by 4 )

x = 20

3x + 10 = 3(20) + 10 = 60 + 10 = 70

the 2 angle measures are 20° and 70°

Answer:

50

Step-by-step explanation:

53.042 -3.350 = 49.692---> 50

Answer:

50

Step-by-step explanation:

53.042 rounds down to 53

3.350 rounds down to 3

53

- 3

___

50

checking work:

53.042

- 3.350

————

49.692 (work below) which rounds up to 50

matches !

Answer:

Suppose we want to divide 3 by 2.

By Long Division we first write 1 as the first digit as the quotient, then we subtract 2 from 3, then we add a zero to the remainder 1, and then add a decimal point after the quotient 1, then write 5 after the decimal point, getting the quotient as 1.5

I know it is indeed right as we can verify. But why do we add a zero and the decimal point in the quotient?

Thank you.

Answer:

less

Step-by-step explanation:

Dividing a decimal number that is less than 1 gives a quotient that is larger than the dividend.

For example :

Take 3/0.3 :

⇒ 3 / 0.3

⇒ 10

10 is greater than the dividend 3.

Step-by-step explanation:

Sn=n(2a+(n-1)d)

2

S20=20(2x3+(20-1)x-5)

2

S20=10(6+19x-5)

S20= 10(6-95)

S20=10x-89

S20=-890

Hope this helps you

Have a nice day

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

Explanation:

[tex]f(x)= -13x^2+15\\\\f(x)= -13x^2+15*1\\\\f(x)= -13x^2+15x^0\\\\[/tex]

Each term of the polynomial function has an exponent which is an even number, therefore the function is even.

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

Another approach:

[tex]f(x)= -13x^2+15\\\\f(-x)= -13(-x)^2+15\\\\f(-x)= -13x^2+15\\\\[/tex]

Since f(x) = f(-x) for all x, this proves the function is even.

Answer:

2

Step-by-step explanation:

448 ÷ 224 = 2

224 ÷ 112 = 2

Hope this helps and have a nice day :)

The distance that the car travel over an angle of 2pi/3 radians is 52.3 feet

The formula for calculating the length of an arc is expressed as:

L = r theta

Given the following parameters

r is the radius. = 25ft

theta is the angle subtended = 2pi/3 radians

Substitute

L = 25 * 2pi/3
L = 50pi/3
L = 52.3 feet

Hence the distance that the car travel over an angle of 2pi/3 radians is 52.3 feet

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large of a sample size is required=165

The Z-value is a test statistic for Z-tests that measures the difference between an observed statistic and its hypothesized population parameter in units of the standard deviation

Using the formula:

large of a sample size is required=(Z∝[tex]I_{2}[/tex]/E)²* P(1-P)

According to the given data

E= margin of error= 5%=0.05

96% confident that your estimate is within 5% of the true population proportion,

Therefore, level of significance

∝=1-0.96

=0.04.

Z value for the 96% confident is 2.05, therefore, Z∝I2=2.05

Therefore, large of a sample size is required=(2.05/0.05)²* (0.11)(1-0.11)

=1681*0.0979

=164.5699

=165

Hence, large of a sample size is required=165

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1. Thomas' monthly payment for the loan exceeds $350.

2. An excess monthly payment of $37.77 exists.

3. Thus, the actual monthly payment is $387.77.

The interest is the finance charge for the loan, representing the cost of the time value of money.

The interest and the monthly payments can be calculated using an online finance calculator as follows:

Business Loan = $20,000

Down Payment = 0%

Loan Term = 5 years or 60 months (5 x 12)

Interest Rate = 6.12%

Monthly Mortgage Payment = $387.77

Total of 60 Mortgage Payments = $23,266.38 ($387.77 x 60)

Total Interest = $3,266.38

Thus, Thomas' actual monthly payment is $387.77.

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The relationship depicts to be fairly strong and also linear as the points on the graph doesn't move far from a line.

The interpretation of the slope of the line of best fit in the context of this problem is that the additional person added to the party will bring or add about $11.15 to the bill above.

The variability can be shown or explained by the differences that are seen in what the parties in the graph has ordered to eat or drink.

Since the party of 8 paid were said to have paid (95 - 82.50 =12.50) therefore, 12.50  is known to be less than the predicted amount.

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Answer:

D = 4.33

Step-by-step explanation:

⇒ 48 = 12D - 30 + 6D

⇒ 48 = 18D - 30

⇒ 18D = 78

⇒ D = 78/18

⇒ D = 26/6

⇒ D = 13/3

⇒ D = 4.33

The requried simplified value of the given expression is D = 4.33.

The process in mathematics to operate and interpret the function to make the function or expression simple or more understandable is called simplifying and the process is called simplification.

The rounding of values is superseding a number with an inexact value that has a more ephemeral, more uncomplicated, or more direct representation.

Here,
48 = 12D - 30 + 6D

Simplify,
48 = 18D - 30
D = 78 / 18
D = 4.33

Thus, the requried simplified value of the given expression is D = 4.33.

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Answer:

The answer should be A.

Step-by-step explanation:

It is A because you need to do first is to find the vertical asymptote first and the horizontal asymptote second for the function.

Answer:

3 3/4 yards

Step-by-step explanation:

The area of a rectangle can be found by multiplying length * width. Since we have the area of the patio and the length, all we need to do to find the width is divide 5 5/8 (area) / 1 1/2 (length) =3 3/4 yards (width).

To check if this is correct, we can solve 1 1/2 * 3 3/4 = 5 5/8 yards.

Hope this helps!