opened a savings account and deposited $1,000.00. The account earns 9% interest, compounded continuously. If he wants to use the money to buy a new bicycle in 1 year, how much will he be able to spend on the bike? Use the formula A=Pert, where A is the balance (final amount), P is the principal (starting amount), e is the base of natural logarithms (≈2.71828), r is the interest rate expressed as a decimal, and t is the time in years. Round your answer to the nearest cent.

The number formed by the digits 16, 06, and 68 is 160668, which is determined by concatenating them in the given order.

To determine the number formed by the given digits, we concatenate them in the given order. Starting with the first digit, we have 16. The next digit is 06, and finally, we have 68. By combining these three digits in order, we get the number 160668.

When concatenating the digits, the position of each digit is crucial. The placement of the digits determines the resulting number. In this case, the digits are arranged as 16, 06, and 68, and when they are concatenated, we obtain the number 160668. It's important to note that the leading zero in the digit 06 does not affect the value of the resulting number. When combining the digits, the leading zero is preserved as part of the number.

Therefore, the number formed by the digits 16, 06, and 68 is 160668.

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Answer:

um there's nothing there I don't see it?

Answer:

What help

Step-by-step explanation:

_______________________

Answer: 3/2

Step-by-step explanation:

The scale factor is the same as the ratio of the length of a side of the image to the length of the corresponding side in the preimage.

We know that Y'X'=3 and YX=2, so the scale factor is 3/2.

Though, if the market valuation is 102.114 and the interest rate is about 8.1%, we divide the two: 8.1 / 102.114 = 0.07732310947, and so the current yield on cheryl’s bond is 077. So here The correct answer is A.

Current yield is calculated by multiplying interest or dividends by the security's present price or simply the actual price.

The interest is compounded quarterly, or four times annually. The bank pays 5% interest. To calculate your relatively modest rate of interest, start dividing 5 by 100, that also equals 0.05.

Then how would you compute exacerbated quarterly interest?

\(Cq = P [(1+r)4*n - 1]\)

The compounding following equation is used to create the quarterly accumulating formula.

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Answer:

\(\frac{56x^{9} }{y^{15} }\)

Step-by-step explanation:

Given: \(\frac{28x^{4} y}{y^{7} }\) divided by \(\frac{y^{9} }{2x^{5} }\).

i.e \(\frac{28x^{4} y}{y^{7} }\)  ÷ \(\frac{y^{9} }{2x^{5} }\)

=  \(\frac{28x^{4} }{y^{6} }\) x \(\frac{2x^{5} }{y^{9} }\)

= \(\frac{56x^{9} }{y^{15} }\)

The quotient of the given two fractions in the question is thus \(\frac{56x^{9} }{y^{15} }\).

Answer:

240

Step-by-step explanation:

The transformation is an example of a translation because the figure slides in one direction, but does not flip, turn, or change size.

Now, According to the question:

Type of Transformation:

There are four types of transformation in geometry, namely translation, reflection, rotation, and dilation. In translation, it slides the figure in any direction while in reflection, it flips the figure over a point or a line. Also, in rotation the figure turns, while in dilation the figure is either enlarged or reduced.

The type of transformation can be defined as moving a figure to a new location, without any change in the figure's size or shape being called translation. In translation, the figure merely slides or moves in the same direction and distance.

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Answer:

a) Pop

b) 30

c) 230

Step-by-step explanation:

the subjects for 10 years to see which group develops more cancer this is a Prospective study

Individuals are monitored in real-time for prospective studies, as information is gathered about them as their traits or situations evolve. Prospective studies include things like birth cohort studies.

In retrospective research, people are sampled, as details regarding their history are gathered. This could be done by asking people to recollect significant occurrences during interviews or by finding pertinent administrative data to fill in the blanks on former events and conditions.

A study sample is split into two groups in a randomized experiment: one will get the intervention under research, while the other won't.

A matched experiment is a type of research setup in which subjects are paired up according to traits they have in common before being divided into categories.

A survey involves asking a sample of people a specified set of questions.

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Answer:

n=-4

Step-by-step explanation:

Subtract 8 from −2 to get −10.

3n+2=−10

Subtract 2 from both sides.

3n=−10−2

Subtract 2 from −10 to get −12.

3n=−12

Divide both sides by 3.

n=-12/3

Divide −12 by 3 to get −4.

n=−4

The equation of the tangent line at any point on the curve is y = f'(x)x + c. For the line to be horizontal, its slope has to be zero, meaning that f'(x) = 0. Therefore, the coordinates of all points on the curve with a horizontal tangent line are those points (x, f(x)) such that f'(x) = 0.

The equation for any line tangent to a curve at a given point (x, f(x)) is given by the equation y = f'(x)x + c, where c is a constant. This equation is derived from the definition of the derivative, which is the instantaneous rate of change of a function at a given point. The slope of this line is equal to the derivative of the curve at the given point, or f'(x). A line is horizontal when its slope is equal to zero, meaning that f'(x) = 0. Therefore, the coordinates of all points on the curve at which the line tangent to the curve at that point is horizontal are all points (x, f(x)) such that f'(x) = 0. This is because a line with a slope of zero is always horizontal, regardless of the value of the constant c. So, in order to find the coordinates of all points on the curve at which the line tangent to the curve at that point is horizontal, we must find all points (x, f(x)) such that f'(x) = 0.

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Answer:

<FBC=<DBG

Step-by-step explanation:

Answer:

the distance between the two points are 2√85 or18.43908891

Answer:

No Possible Triangle

Step-by-step explanation:

Sine cannot be greater than 1

No Possible Triangles

Answer:

The answer is 2.

Step-by-step explanation:

You have to substitite x = -0.5 into the function :

f(x) = 2x + 3

f(-5) = 2(-0.5) + 3

f(-5) = 2

Answer: (4x-1)(3x+2)

Step-by-step explanation:

do u know how to factor?

Answer: (4y - 1)(3y + 2)

Step-by-step explanation:

\(12y^{2} +5y-2\\=(4y - 1)(3y + 2)\)

You can also do it the long way using the quadratic formula:\(\frac{-b+-\sqrt{b^{2} -4ac} }{2a}\), where a = 12, b = 5, and c = -2.

we are given a ring homomorphism f: R → R' between commutative rings R and R'. We need to show that if P is a prime ideal of R' and f^(-1)(P) ≠ R, then the ideal f^(-1)(P) is a prime ideal of R.

To prove this, we first note that f^(-1)(P) is an ideal of R since it is the preimage of an ideal under a ring homomorphism. We need to show two properties of this ideal: (1) it is non-empty, and (2) it is closed under multiplication.

Since f^(-1)(P) ≠ R, there exists an element a in R such that f(a) is not in P. This means that a is in f^(-1)(P), satisfying the non-empty property.

Now, let x and y be elements in R such that their product xy is in f^(-1)(P). We want to show that at least one of x or y is in f^(-1)(P). Since xy is in f^(-1)(P), we have f(xy) = f(x)f(y) in P. Since P is a prime ideal, this implies that either f(x) or f(y) is in P.

Without loss of generality, assume f(x) is in P. Then, x is in f^(-1)(P), satisfying the closure under multiplication property.

Hence, we have shown that f^(-1)(P) is a prime ideal of R, as desired.

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Answer: 1/8

Step-by-step explanation:

Answer:

  no sign

Step-by-step explanation:

The value of the product is ...

  \(-9\times\dfrac{0}{-3}=\dfrac{-9\cdot 0}{-3}=0\)

The value 0 has no sign. It exists between positive and negative numbers. It is neither positive nor negative.

__

We prepend a minus sign to negative numbers. The value 0 is usually written without such a sign, so might be considered to have a sign of +, just because it isn't –.

The trigonometric function for the values in the table is defined as follows:

y = 3sin(π/4(x - π/2)) + 3.

The standard definition of the sine function is given as follows:

y = Asin(B(x - C)) + D.

For which the parameters are given as follows:

The function has a maximum value of 6 and a minimum value of 0, for a difference of 6 units, hence the amplitude is obtained as follows:

2A = 6

A = 3.

Without vertical shift, a function with amplitude of 3 would oscillate between -3 and 3, while this one oscillates between 0 and 6, hence the vertical shift is given as follows:

D = 3.

The shortest distance between repetitions can be given by 8 - 0, hence the period is of 8 units and the coefficient B is given as follows:

2π/B = 8

B = 2π/8.

B = π/4.

The function is at's minimum value at x = 0, meaning that the sine function has a phase shift of π/2 units right, thus the coefficient C is given as follows:

C = π/2.

Then the function is defined as follows:

y = 3sin(π/4(x - π/2)) + 3.

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Answer:

11.9

Step-by-step explanation:

just add the two numbers :)

Answer:

the answer 11.9

Step-by-step explanation:

add by lining up the decimals

The slope of the equation is -2/3, and the y-intercept is 490.

To change the equation 2x + 3y = 1,470 to slope-intercept form (y = mx + b), where m represents the slope and b represents the y-intercept, we need to solve for y.

Starting with the given equation:

2x + 3y = 1,470

First, let's isolate y by subtracting 2x from both sides of the equation:

3y = -2x + 1,470

Next, divide both sides of the equation by 3 to solve for y:

y = (-2/3)x + 490

Now we have the equation in slope-intercept form, y = (-2/3)x + 490.

From this form, we can identify the slope and y-intercept:

The slope (m) is the coefficient of x, which is -2/3.

The y-intercept (b) is the constant term, which is 490.

Therefore, the slope of the equation is -2/3, and the y-intercept is 490.

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The slope - intercept form of the equation -4 x+3 y=1 is y = 4/3x + 1/3.

The equation given is -

-4 x+3 y=1

As we know the slope - intercept form is -

y = mx + c

-4 x+3 y=1

Dividing the equation with 3

⇒ -4/3x + y = 1/3

Now, rearranging the equation

y = 4/3x + 1/3

where slope = 4/3

y - intercept = 1/3

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Answer:

Y+3=-6(x+9)

Step-by-step explanation:

Got it right on usa test prep

Answer:

1135.38

Step-by-step explanation:

Original amount  = 1015;

First decrease = 6%

Followed by an increase  = 19%

Unknown:

Final amount:

Solution:

If 100% of a value implies multiplying by 1;

        6% decrease  = 0.94

        19% increase  = 1.19

Now;

Final amount  = 1015 x 0.94 x 1.19  = 1135.38

Answer:

The answer is A

Step-by-step explanation:

Answer:

The first one. Y=3/4