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3 years ago

13

Consider the tables created using an initial investment of $1,000 and quarterly compounding of interest.

2 answers:

Andru [333]3 years ago

8 0

Answer:

(d) The functions are not inverses because for each ordered pair (x, y) for one function, there is no corresponding ordered pair (y, x) for the other function.

Step-by-step explanation:

If functions are represented by a table of ordered pairs, their inverse function is the set of ordered pairs with the x- and y-values swapped.

Here, for (x, y) = (0.75, 1038.18), the pair from the other table that begins to correspond is (y, x) = (0.75, 1057.81). These reversed pairs are not the same, so the functions are not inverses of each other.

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<em>Comment on the tables</em>

Table A is for a 5-year investment; table B is for a 7.5 year investment. They cannot be inverses of each other.

pickupchik [31]3 years ago

4 0

Answer:

d

Step-by-step explanation:

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Find m in this screenshot

Afina-wow [57]

Answer:

Angle measure KRQ is 146 degrees

Step-by-step explanation:

Here, we want to find the measure of the indicated angle

From what we have in the question;

angle measure KRQ is corresponding to angle measure KNM

Mathematically, when two angles are corresponding to each other, their values are equal

What this means is that the value of the measure of KRQ is 146 degrees too

3 0

3 years ago

when solving this, do i take it out of the parenthesis or make it into a square root? because its very confusing.

Licemer1 [7]

Finding the inverse function:

We are given a function y = f(x). To find the inverse function, we exchange x with y in the original function, and then isolate y.

So

We are given the function:

$f(x)=(x+7)^5$

So

$y=(x+7)^5$

Changing x with y

$x=(y+7_{})^5$

Now, we have to isolate y. So

$(y+7)^5=x$

We can apply the fifth root to both sides. So:

$\sqrt[5]{(y+7)^5}=\sqrt[5]{x}$ $y+7=\sqrt[5]{x}$ $f^{-1}(x)=y=\sqrt[5]{x}-7$

7 0

10 months ago

Line l is parallel to line m, if the measure of <6 is 75° what is the measure of <4?

atroni [7]

Answer:

∠4 = 75°

Step-by-step explanation:

Alternate interior angles are equal.

∠6 and ∠4 are alternate interior angles.

∠6 = ∠4 = 75°

5 0

3 years ago

Read 2 more answers

42. Which of the following is TRUE about the princal square riot

kherson [118]

Answer:

a. always positive

Step-by-step explanation:

Alex learning?

5 0

2 years ago

A spherical balloon is inflating with helium at a rate of 64 pi StartFraction ft cubed Over min EndFraction . How fast is the b

olga2289 [7]

Answer:

The radius of the balloon is increasing at a rate of 4 feet per minute.

Step-by-step explanation:

We are given the following in the question:

$\dfrac{dV}{dt} = 64\pi \dfrac{\text{ ft}^3}{\text{min}}$

Volume of sphere is given by

$V = \dfrac{4}{3}\pi r^3$

where r is the radius of the balloon.

Instant radius, r = 2 ft

Rate of change of volume =

$\dfrac{dV}{dt} = \dfrac{d}{dt}(\dfrac{4}{3}\pi r^3)\\\\\dfrac{dV}{dt} =4\pi r^2\dfrac{dr}{dt}$

Putting values, we get,

$64\pi = 4\pi (2)^2\dfrac{dr}{dt}\\\\\Rightarrow \dfrac{dr}{dt} = 4$

Thus, the radius of the balloon is increasing at a rate of 4 feet per minute.

5 0

3 years ago