Ask question

Ask question

All categories

3 years ago

12

In 2007, it is estimated that the united states used about 101,000 quadrillion thermal units . if u.s energy consumption increas

es at a rate of about 0.5% annually, what amount of energy will the united states use in 2020?
(show the work)

1 answer:

Art [367]3 years ago

3 0

101,000×(1+0.005)^(2,020−2,017)
=102,522.59

You might be interested in

ILL GIVE BRAINLIEST!!

densk [106]

Answer:

P(3 , 0)

Step-by-step explanation:

(x₁, y₁) = A(-3,-3) ;(x₂ , y₂) B(5, 1)

m : n = 3 : 1

$P \left( \dfrac{mx_{2}+nx_1}{m+n},\dfrac{my_{2}+ny_{1}}{m+n} \right)\\\\P \left (\dfrac{5*3+(-3)*1}{3+1},\dfrac{3*1+1*(-3)}{3+1} \right)\\\\\\=P \left(\dfrac{15-3}{4},\dfrac{3-3}{4} \right)\\\\\\= P \left(\dfrac{12}{4},\dfrac{0}{4} \right)\\\\\\= P\left(3 , 0 \right)$

5 0

3 years ago

Find the Polynomial with roots 3, -2, and 0.<br><br> Urgent!!! Help

777dan777 [17]

Answer:

Step-by-step explanation:

5 0

4 years ago

Read 2 more answers

The brand manager for a brand of toothpaste must plan a campaign designed to increase brand recognition. He wants to first deter

VMariaS [17]

Answer:

He must survey 123 adults.

Step-by-step explanation:

In a sample with a number n of people surveyed with a probability of a success of $\pi$ , and a confidence level of $1-\alpha$ , we have the following confidence interval of proportions.

$\pi \pm z\sqrt{\frac{\pi(1-\pi)}{n}}$

In which

z is the z-score that has a p-value of $1 - \frac{\alpha}{2}$ .

The margin of error is:

$M = z\sqrt{\frac{\pi(1-\pi)}{n}}$

Assume that a recent survey suggests that about 87% of adults have heard of the brand.

This means that $\pi = 0.87$

90% confidence level

So $\alpha = 0.1$ , z is the value of Z that has a p-value of $1 - \frac{0.1}{2} = 0.95$ , so $Z = 1.645$ .

How many adults must he survey in order to be 90% confident that his estimate is within five percentage points of the true population percentage?

This is n for which M = 0.05. So

$M = z\sqrt{\frac{\pi(1-\pi)}{n}}$

$0.05 = 1.645\sqrt{\frac{0.87*0.13}{n}}$

$0.05\sqrt{n} = 1.645\sqrt{0.87*0.13}$

$\sqrt{n} = \frac{1.645\sqrt{0.87*0.13}}{0.05}$

$(\sqrt{n})^2 = (\frac{1.645\sqrt{0.87*0.13}}{0.05})^2$

$n = 122.4$

Rounding up:

He must survey 123 adults.

6 0

3 years ago

Working out as well please. Thanks

dimulka [17.4K]

6.1/5 is bigger because 100÷5=20 7.1% of 40=0.4 × 20= 8 40+8 = 48 8=?? Hope this helps

7 0

3 years ago

Write a quadratic equation in standard form.

Naya [18.7K]

Answer:

1. x^2 +2x -24 = 0

2. x^2 -7x +10 = 0

Step-by-step explanation:

If you look at the factored and expanded forms of a quadratic with solutions p and q, you see ...

(x -p)(x -q) = x^2 -(p+q) +pq

The x-term coefficient is the opposite of the sum of solutions.

The constant is the product of solutions.

This knowledge lets you write down the standard form equation with no particular effort.

1. x^2 +2x -24 = 0

2. x^2 -7x +10 = 0

5 0

2 years ago