All categories

3 years ago

The number of subscribers y to a website after t years is shown by the equation below.

Mathematics

2 answers:

fomenos3 years ago

8 0

think of 1.75 as 1+0.75

That's in the form 1+r where r is the growth rate.

So r = 0.75 = 75% is a growth rate

Nezavi [6.7K]3 years ago

5 0

Answer:-It increased by 75% every year.

Explanation:-

Given: The number of subscribers y to a website after t years is shown by the equation , $y=50(1.75)^t$ where 50 is the initial number of subscribers to a website and t is the time period is years.

The above equation can be rewrite as

$y=50(1+0.75)^t$

which is equivalent to the exponential growth function with growth rate r=0.75=75%

⇒ The number of subscribers to a website increased by 75% every year.

⇒ First option is correct.

You might be interested in

A spherical balloon is being inflated at a rate of 3 cubic inches per second. Determine the change in the rate of the radius.How

Novay_Z [31]

Answer:

The rate rate of change of radius is $\frac{1}{48\pi}$ inches per second when the diameter is 12 inches.

The radius is changing more rapidly when the diameter is 12 inches.

Step-by-step explanation:

Consider the provided information.

A spherical balloon is being inflated at a rate of 3 cubic inches per second.

The volume of sphere is $V=\frac{4}{3}\pi r^3$

Differentiate the above formula with respect to time.

$\frac{dV}{dt}=4\pi r^2\frac{dr}{dt}$

Substitute the respective values in the above formula,

$3=4\pi 6^2\frac{dr}{dt}$

$\frac{1}{48\pi}=\frac{dr}{dt}$

The rate rate of change of radius is $\frac{1}{48\pi}$ inches per second when the diameter is 12 inches.

When d=16

$3=4\pi 8^2\frac{dr}{dt}$

$\frac{3}{256\pi}=\frac{dr}{dt}$

Thus, the radius is changing more rapidly when the diameter is 12 inches.

5 0

3 years ago

Neptune is 4.5 billion kilometers from the sun. Represent this number in scientific notation

Tanya [424]

Answer:

4.5 x 10 ^9

Step-by-step explanation:

5 0

3 years ago

Read 2 more answers

Simplify the expression. Show your work. 22 + (3^2 – 4^2)

irga5000 [103]

22 + (3^2 – 4^2)
= 22 + (9 – 16)
= 22 -7
= 15

6 0

3 years ago

Idk this is supper hard

vlabodo [156]

Answer:

The equation of the line is: y = x + 4

Step-by-step explanation:

When we are given two points passing through a line, we can find the equation of the line by using two - point form.

Two - point form: $\frac{\textbf{y - y}_\textbf{1}}{\textbf{y}_{\textbf{2}} \textbf{-} \textbf{y}_{\textbf{1}}} = \frac{{\textbf{x - x}_\textbf{1}}}{\textbf{x}_{\textbf{2}} \textbf{-} \textbf{x}_{\textbf{1}} }$