Suppose $500 is invested at a bank that offers 4% interest compounded annually. Write and evaluate an expression to determine the balance after two years

Answer:

The answer is 0.02

Step-by-step explanation:

1/50=0.02

Answer:

enlargement ; 2

Step-by-step explanation:

dilation is change in the size of the figure.

in the given scenario, figure's size is increasing so dilation is called enlargement and scale factor must be greater than 1.

scale factor = dimension of new shape / dimension of original shape

let's calculate the difference in terms of boxes of both figures to calculate the scale factor,

scale factor = 6/3

thus, in the given dilation we have enlargement of 2

The area of this region is equal to \(\pi \cdot (\sqrt{35})^2 = 35\pi\)

The equation for the set of complex numbers z such that the real part of 1/z is equal to 1/6 is given by:

Re(1/z) = 1/6

Since 1/z = 1/x + i/y,

Where x and y are the real and imaginary parts of z, respectively,

we can write the equation as:

(1/x)=(1/6) and \($\frac{y}{x^2 + y^2} = \frac{1}{6}$\)

From the first equation,

we have x = 6.

Substituting this value into the second equation, we get:

\($\frac{y}{36 + y^2} = \frac{1}{6}$\)

Solving for y,

we find that \($y = \pm \sqrt{35}$\).

So, the set of complex numbers z that satisfies the equation forms a circle centred at 6 + 0i with radius \($\sqrt{35}$\).

For more questions on Complex Number

https://brainly.com/question/16835201

#SPJ4

There are only one way to pick exactly 6 of the 7 winning numbers without regard to order.

There are "1 to 70 numbers, choose 7 " or 70C7 ways to pick 7 correctly.

AND

you must also pick 1 wrong number.  That wrong number has to be

different from any of the 7 correct numbers, and so there are

40-6 or 34 wrong numbers you could have picked.  That's 34 wrong

numbers, choose 1 or 34C1. Since AND means to multiply, the

numerator is 6C5 X 34C1=204

The denominator is the same 3838380 as in part (A)

So the desired probability is 204 / 38380 = 17 / 319865.

However that's just the probability of winning the $10000.

The words "probability of winning" could be taken as the

probability of winning either $1,000,000 OR $10,000. So

P(winning $1,000,000 OR winning $10,000) and since

"OR" means "ADD", we add the probability found in part A,

so the correct answer is 1 / 38380 + 204 / 38380 = 205 / 3838380

=41 / 767676,

the probability of winning a million or ten thousand.

To learn more about the probability.

brainly.com/question/13873359

#SPJ4

The floating-point literal that correctly represents the scientific notation value: 2.3 x 10^7 will be A. 2.3e^7.

It should be noted that scientific notation simply means. way that's used to express numbers that are either too large or too small to be written in decimal form.

Therefore, it should be noted that the floating-point literal that correctly represents the scientific notation value: 2.3 x 10^7 will be:

= 2.3 × 20^7

= 2.3 × e^7

= 2.3e7

The correct option is A.

Learn more about scientific notation on:

brainly.com/question/106363

#SPJ1

Which floating-point literal correctly represents the scientific notation value: 2.3 x 10^7?

a. 2.3e^7

b. 2.3 × 10e^7

c. 2.3e × 10^7

d. 2.3 × e^7

Answer:

19 dollars and 50 cents

Step-by-step explanation:

$19 & 50 cents my dear child

-pilar <3

Answer: 8cm

Step-by-step explanation:

If the radius of the circle is 4 cm, then the diameter of the circle is 4 cm x 2, or 8 cm. If you know the circumference of the circle, divide it by π to get the diameter.

y = 1.5x + 0.5 is the equation of the line passing through the coordinate points

The formula for finding the equation of a line in slope-intercept form is expressed as:

y =mx + b

where:

m is the slope

b is the intercept

Determine the slope

slope = 5-2/3-1

slope = 3/2

slope = 1.5

Determine the y-intercept

y = mx + b

5 = 1.5(3) + b

5 = 4.5 + b

b = 0.5

Hence the required equation of the line passing through ( 1,2) and (3,5) is

y = 1.5x + 0.5

Learn more on equation of a line here: https://brainly.com/question/18831322

#SPJ1

Complete question

What's the equation of a line that passes through (1,2) (3,5)?

6-3 = 3

3+5 = 8

8 - 1³ = 7

hope it helps you ♥️

Answer:

Newton's second law is the real law of motion and the other two laws can be deduced from 2nd law.

The perimeter of the figure is 53.7.

Perimeter can be defined as the total distance around a object.

To calculate the perimeter of the the figure below, we use the formula below.

Formula:

From the diagram,

Given:

Substitute these values into equation 1

Hence, the perimeter of the figure is 53.7

Learn more about perimeter here: https://brainly.com/question/19819849

#SPJ1

A substitute is a good or service that buyers can quickly swap out for another. For instance, a one-dollar bill can be used in place of another dollar bill.

In business and economics, a replacement, or substitutable good, is a good or service that consumers perceive as just being substantially the same as or reasonably similar to some other good. Consumers are given options and alternatives through substitutes, which also spur competition and lower prices in the market.

Here are a few examples of replacement goods:

1. A $1 bill can be exchanged for four quarters.

2. Coke against Pepsi

3. Regular vs. premium gas

4. Butter and lard

5. Tea and coffee

6. Apples and oranges

7. Comparing driving a car to riding a bike

8. Books in general and e-books

To learn more about substitute link is here

brainly.com/question/18330729

#SPJ4

Answer:

353340 + x + 33

Step-by-step explanation:

real life sum situation

Answer:

The answer is Rational.

Step-by-step explanation:

The number is between integers, so it can't be an integer or a whole number. It's written as a ratio of two integers, so it's a rational number and not irrational.

Answer:

30

Step-by-step explanation:

The sum of the angles of a triangle is 180

x+34 +116 = 180

Combine like terms

x+150 = 180

Subtract 150 from each side

x+150-150 = 180-150

x = 30

using the angle sum property of triangle.

According to this, sum of all angles of a triangle is equal to 180°

x° + 116° + 34° = 180°

x° + 150° = 180°

x° = 180° - 150°

x° = 30°

Answer:

120

Step-by-step explanation:

PLUG IN THE VALUES IN THE RIGHT POSITIONS AND SIMPLIFY.

\( = 2( \frac{1}{2} + \frac{3}{4} ) + 6 \\ = 2( \frac{5}{4} ) + 6 \\ = \frac{10}{4} + 6 \\ = \frac{5}{2} + 6 \\ = \frac{17}{2} \)

THE ANSWER IS OPTION C.

Answer:

70 $5 movie gift cards and 45 $10 movie gift cards

Step-by-step explanation:

The perimeter of area ABCD is P = 12√10u = 37.94u

  The meaning of area is nothing more than the size of a flat surface, this size is based on dimensions, and is expressed as a metric unit squared, and also as a unit of area as is the case of hectares.

If the area of the image of the attached figure is, A = 90u², and it is a square then the perimeter will be 4 times the sides, determine the value of the sides.

A = L² = 90u²

L = √90u²

L = 3√10 u

P = 4L

P = 4(3√10u)

P = 12√10u

We can express it in decimal form and we are left with 37.94u

Learn more about area at:

https://brainly.com/question/25292087

#SPJ4

The incidence of skin cancer over the two years in the high exposure group is 24.39%.

To calculate the incidence of skin cancer over the two years in the high exposure group, follow these steps:
1. Determine the number of workers in the high exposure group: 800 workers
2. Subtract the initial skin cancer cases in the high exposure group from the total number of workers in the group to find out the workers without skin cancer:

800 - 185 = 615 workers
3. Calculate the number of new skin cancer cases in the high exposure group by subtracting the new cases in the low-exposure group from the total new cases:

175 - 25 = 150 cases
4. Calculate the incidence rate by dividing the new cases in the high exposure group by the number of workers without skin cancer in the high exposure group:

150 / 615 ≈ 0.2439
5. Multiply the incidence rate by 100 to express it as a percentage:

0.2439 * 100 = 24.39%.

For similar question on incidence.

https://brainly.com/question/30392754

#SPJ11

Answer: 36

Step-by-step explanation:

The top and bottom of the parallelogram both have lengths of 8.

To determine the length of the parallel diagonal sides, form a right triangle using the left side of the parallelogram as its hypotenuse (in red in my diagram below).

The right triangle has legs of length 6 and 8, so the length of the hypotenuse (c) is:

6^2 + 8^2 = c^2

36 + 64 = c^2

100 = c^2

c = 10

Thus the two diagonal sides of the parallelogram must both have a length of 10, so the perimeter of the parallelogram is 8 + 10 + 8 + 10 = 36.

Answer:

30 miles because:

Step-by-step explanation:

10 x 6 = 60/1min

5 x 6 = 30miles

\(A=\left[\begin{array}{ccc}3&-2\\4&-3\end{array}\right]\)

We can find the A as shown below:

Given A^2=I

We know that A^2=A×A

And \(I=\left[\begin{array}{ccc}1&0\\0&1\end{array}\right]\)

So, \(A^2=\left[\begin{array}{ccc}1&0\\0&1\end{array}\right]\)

Let \(A=\left[\begin{array}{ccc}3&-2\\4&-3\end{array}\right]\)

\(A^2=\left[\begin{array}{ccc}3&-2\\4&-3\end{array}\right] \left[\begin{array}{ccc}3&-2\\4&-3\end{array}\right]\)

\(A^2=\left[\begin{array}{ccc}9-8&-6+6\\12-12&-8+9\end{array}\right]\)

\(A^2=\left[\begin{array}{ccc}1&0\\0&1\end{array}\right]\)

Hence, \(A=\left[\begin{array}{ccc}3&-2\\4&-3\end{array}\right]\)

Hence, option C is correct

Learn more about matrix here:

https://brainly.com/question/94574

#SPJ1

Disclaimer: Given question is incomplete. Complete question is attached.

Step-by-step explanation:

so, write that down mathematically :

7 - k×43 = k

to bring k to only one side of the equation we add e.g. 43k to both sides (it is important to perform any operation on an equation always on both sides, otherwise the equality relation is destroyed)

7 - 43k + 43k = k + 43k

7 = 44k

k = 7/44

The given equation has one solution which is x = 6 (which is a REAL number).

Linear Equation Solutions are the values of a variables in linear equations that give all possible solutions. Linear equations represent real-world problems by involving unknown quantities with in form with one or more variables.

Some key concepts regarding the solution of linear equation are-

Now, for the given question;

The linear equation is -

4x + 9 = 33

Solving this;

4x = 33 - 9

4x = 24

x = 24/4

x = 6

Therefore, the solution of the given linear equation is (x=6), where 6 is the real number.

To know more about the solution of linear equation, here

https://brainly.com/question/13951177

#SPJ4

The complete question is-

The given equation is either linear or equivalent to a linear equation. Solve the equation. (If there is no solution, enter NO SOLUTION. If all real numbers are solutions, enter REALS.)

4x + 9 = 33

\(729x^{6}-1458x^{5} y+1215x^{4} y^{2} -540x^{3} y^{3} +135x^{2} y^{4}-18xy^{5}+y^{6}\) is the response following the supplied function's expansion.

The procedure for increasing an expression to any finite power is known as the binomial theorem. A useful expansion technique with applications in probability, algebra, and other fields is the binomial theorem. An algebraic expression with two terms that are not similar is known as a binomial expression.

calculation

by expanding using the binomial theorem formula

The equation (a + b)n =nC0 a + nC1 a - 1 b1 + nC2 a - 2 b2 +... if a and b are real integers and n is a positive integer.

1. There are one more terms overall than the exponent n in the binomial expansion of (a + b)n, or n + 1.

\(729x^{6}-1458x^{5} y+1215x^{4} y^{2} -540x^{3} y^{3} +135x^{2} y^{4}-18xy^{5}+y^{6}\) is the response following the supplied function's expansion.

To know more about binomial theorem visit :-

https://brainly.com/question/27813780

#SPJ1

The trigonometry expression is sin(x) = 3/5

The triangle is a right triangle.

So, we can make use of the following equations:

Using the sine expression, we have:

sin(x) = 3/5

Hence, the trigonometry expression is sin(x) = 3/5

Read more about trigonometry expression at:

https://brainly.com/question/8120556

#SPJ1

Answer:-5

Step-by-step explanation:

Answer:

-9

Step-by-step explanation:

-2 - 7

Picture a number line in your head, you begin at negative 2, which is less than 0 and you further go left 7 points, so you will end at -9

Answer:

You can find 0.5% of a number by multiplying the number by

Step-by-step explanation:

Answer:

the answers are

1

3

4

Step-by-step explanation:

i just took the test

Answer:

1 3 4

Step-by-step explanation: