All categories

3 years ago

A quantity with an initial value of 8100 grows exponentially at a rate of 0.35% every 4

Mathematics

1 answer:

vazorg [7]3 years ago

6 0

Answer:

8133.38

Step-by-step explanation:

Given that :

Initial value, P = 8100

Growth rate = 0.35% every 4 decade = 0.35% /40 = 0.0000875 per year

Quantity after 47 years

Using the relation :

A = P*e^(rt)

Amount after t years

t = 47 years

A = 8100 * e^(0.0000875*47)

A = 8100 * e^0.0041125

A = 8100 * 1.0041209

A = 8133.3798

A = 8133.38 (nearest hundredth)

You might be interested in

Sam and Mathew went to Taco Bell for lunch Sam ordered 2 tacos and 3 burritos while Matthew ordered 3 tacos and 5 burritos Sam’s

Alecsey [184]

Answer

supreme or re

gular

Step-by-step explanation:

7 0

3 years ago

Read 2 more answers

A car insurance company has determined that 9% of all drivers were involved in a car accident last year. Among the 10 drivers li

____ [38]

Answer:

The correct answer: 0.05404

Step-by-step explanation:

Given:

Binomial distribution = x

n = 10

and p = 0.09

solution:

P(X=x) =1 0Cx*(0.09^x)*((1-0.09)^(10-x)) for x=0,1,2,...,10

So the probability is calculated by the Formula:

P(X>=3) = 1-P(X=0)-P(X=1)-P(X=2)

putting the given values in the formula

= 1-10C0*(0.09^0)*((1-0.09)^(10-0))-...-10C2*(0.09^2)*((1-0.09)^(10-2))

= 0.0540400

Thus, the correct answer: 0.05404

5 0

3 years ago

NEED HELP PLEASE WILL GIVE BRANLIEST !!!!!!!!!!!!!

bekas [8.4K]

Look at the picture.

Angles KJL and SRT are Corresponding angles. JK is parallel to RS. Therefore

m∠KJL = m∠SRT

<h3>A. The slope of JL is equal to the slope of RT.</h3><h3 />

Other method.

Calculate the slope.

The formula of a slope:

$m=\dfrac{y_2-y_1}{x_2-x_1}$

We have the points J(-6, -6) and L(2, -2). Substitute:

$m=\dfrac{-2-(-6)}{2-(-6)}=\dfrac{-2+6}{2+6}=\dfrac{4}{8}=\dfrac{1}{2}$

The slope of JL is 1/2.

We have the points R(4, -1) and T(8, 1). Substitute:

$m=\dfrac{1-(-1)}{8-4}=\dfrac{1+1}{4}=\dfrac{2}{4}=\dfrac{1}{2}$

The slope of RT is 1/2.

4 0

4 years ago

If (x2 – 4) = (x + 2) = x -2, which polynomial should fill in the blank below?

nalin [4]

Step-by-step explanation:

use the identity a²-b²=(a-b)(a+b)

x²-4=(x-2)(x+2)

so the answer is x-2

8 0

4 years ago

The table shown lists the atomic weight of the elements that begin with the letter c. What's the range of these

kondaur [170]

The Answer is 2

34.989.I used a physics book

3 0

3 years ago