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3 years ago

Identify the type of function represented by f(x) = 3(1.5)*.

Mathematics

1 answer:

sweet-ann [11.9K]3 years ago

6 0

Answer:

A. Exponential growth function

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What is the distance between points A and B? Use absolute value to explain your answer.

skelet666 [1.2K]

Answer

(1,2)

Step-by-step explanation:

6 0

3 years ago

Find the missing side x

Artist 52 [7]

Answer:

x = 21.52

Step-by-step explanation:

Given:

hypotenuse (That has to be found out)

Side adjacent to the given angle

and an angle,

Hence we can say that Cos ratio would be used;

Cos(28) = 19 / x

x = 19 / Cos(28)

x = 21.52

Hope this helps!

8 0

3 years ago

Confirm that f and g are inverses by showing that f(g(x)) = x and g(f(x)) = x. (5 points)

Salsk061 [2.6K]

F(x)=(x-8)/(x+7). g(x)=(-7x-8)/(x-1). Plug in g(x) into f(x), f(g(x))=[(-7x-8)/(x-1)-8]/[-7x-8)/(x-1)+7], which can be simplified as (-7x-8-8x+8)/(-7x-8+7x-7)=-15x/-15=x. Plug in f(x) into g(x), g(f(x))=[-7*(x-8)/(x+7)-8]/[(x-8)/(x+7)-1]=(-7x+56-8x-56)/(x-8-x-7)=-15x/-15=x, as desired.

8 0

3 years ago

If an initial amount A0 of money is invested at an interest rate i compounded times a year, the value of the investment after t

seropon [69]

Answer:

Following are the solution to the given point:

Step-by-step explanation:

Please find the comp[lete question in the attached file.

Given:

$\bold{ \lim_{n \to \ \infty} (1+ \frac{r}{n})^{nt} =e^{rt}}$

In point 1:

$\to y = (1+ \frac{r}{n})^{nt}$

In point 2:

$\to \ln (y)= nt \ln(1+ \frac{r}{n})$

In point 3:

Its key thing to understand, which would be that you consider the limit n to $\infty$ , in which r and t were constants!

$=lim_{n \to \ \infty} \ln (y) = lim_{n \to \ \infty} nt \ln(1+\frac{r}{n})\\\\= lim_{n \to \ \infty} \frac{\ln(1+\frac{r}{n})}{\frac{1}{nt}}\\\\= lim_{n \to \ \infty} \frac{\frac{-r}{\frac{n^2}{(1+\frac{r}{n})}}}{- \frac{1}{n^2t}}\\\\= lim_{n \to \ \infty} \frac{\frac{rn^2t}{n^2}}{(1+\frac{r}{n})}\\\\= lim_{n \to \ \infty} \frac{rt}{(1+\frac{r}{n})}\\\\= \frac{rt}{(1+\frac{r}{0})}\\\\=rt$

In point 4:

$\to \lim_{n \to \ \infty} = (1+\frac{r}{n})^{nt}$ and

$\to \lim_{n \to \ \infty} = A_0e^{rt}$

7 0

3 years ago

Is 2 3/4 <, >, or = to 2.75%

lesya692 [45]

<span>2 3/4 = 2.75

so

</span>2 3/4 = 2.75%

6 0

3 years ago