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Friday, October 13, 2017

What is 0.0006 written in scientific notation?

Question 19 of 25

Multiple Choice: Please select the best answer and click "submit."

What is 0.0006 written in scientific notation?

60.0 • 10³

6.0 • 10^-4

6.0 • 10^-3

6.0 • 10^-5

60.0 • 10⁴

60.0 • 10^-6

What is 0.0006 written in scientific notation?

6(10−4)

=6*10−4

=6*

10*10*10*10

104

10000

5000

(Decimal: 0.0006)

Tuesday, May 10, 2016

What can you say about the graph of the function F(x) = (0.5)^x?

A. Is it decreasing?

B. Is the x-intercept (0,1)?

C. Is the domain of F(x) x> 0?

D. Is the range of F(x) y > 0?

Answer: A. It is decreasing, and D. the range of F(x) y > 0.

Do you believe me?

Well let's graph it and see if these answers hold true.

Looks good to me...what do you think?

A population of bacteria is changing exponentially - How can you describe the bacteria population?

Bacteria
Image from Wikimedia Commons, and is in Public Domain

A population of bacteria is changing exponentially according to the function below. How can you describe the bacteria population?

Select all possible correct answers.

B(t) = 400(1.4)^0.8t + 2

A. The population is decaying.

B. The population is approaching a constant value.

C. The population is always positive.

D. The population is growing.

Answers: C and D.

Hot damn! Now where's my coffee?

Evaluate 3^-3

Evaluate 3−3.

Okay, can do. Check it out:

3^-3=

3*3*3

(Decimal: 0.037037)

Easy peasy. Now, buy me a cup of coffee, if it helped;)

This Graph Could Be Which Exponential Function?

The graph below could be which exponential function?

A. F(x) = -4(1.1)5x

B. F(x) = 1.1(4)x

C. F(x) = 4(1.1)5x

D. F(x) = 4(1.1)-x

Figure it out by going to MathPapa.com and comparing graphs. Input your various options:

F(x) = 4(1.1)^(5x). Well what do you know?

The answer looks like C to me...what do you think?;)

Need a question figured out in a hurry? Buy me a cup of coffee, and send your question. I'll get back to you lightning fast, even in the middle of the night! Oh, a cup of coffee is about $3.00, so...

In general, the coordinates (0,a) will be a solution to the function F(x) = a⋅b^x.

Is this true? Well here are your choices:

A. (b, 0)

B. (0, 0)

C. (0, a)

D. (a, b)

If x = 0, then b^x = b^0 = 1, so F(0) = a*1, so the coordinates (0,a) form a solution.

Answer: C. (0,a)

Need a question figured out in a hurry? Buy me a cup of coffee, and send your question. I'll get back to you lightning fast, even in the middle of the night! Oh, a cup of coffee is about $3.00, so...

How much would $140 invested at 6% interest compounded monthly be worth after 15 years?

How much would $140 invested at 6% interest compounded monthly be worth after 15 years? Round your answer to the nearest cent.

A(t) = P (1+r/n)^rt

A. $266.00

B. $335.52

C. $343.57

D. $150.88

The answer is C: $140 invested at 6% interest compounded monthly be worth $343.57 after 15 years.

Need a question figured out in a hurry? Buy me a cup of coffee, and send your question. I'll get back to you lightning fast, even in the middle of the night! Oh, a cup of coffee is about $3.00, so...

How much would $125 invested at 8% interest compounded continuously be worth after 16 years?

How much would $125 invested at 8% interest compounded continuously be worth after 16 years? Round your answer to the nearest cent.

A(t) = P * e^rt

A. $367.26

B. $428.24

C. $449.58

D. $285.00

How much would $125 invested at 8% interest compounded continuously be worth after 16 years?

Plug all values into the equation to find your answer:

A(t) = 125e^(.08 * 16) = $449.58

The answer is C: $449.58

Apex sucks. Math doesn't when you can apply it to daily life!

Need a question figured out in a hurry? Buy me a cup of coffee, and send your question. I'll get back to you lightning fast, even in the middle of the night! Oh, a cup of coffee is about $3.00, so...

What can we say about the graph of the function F(x) = 4(7^x)?

A. The y-intercept is (0,7)

B. The range of F(x) is all real numbers.

C. The y-intercept is (0,4)

D. The y-intercept is (0,7)

Answer: What can we say about the graph of the function F(x) = 4(7x)?
We can say the y-intercept is (0,7).

Do the math. Then play a game. Just be sure to have fun doing both!

How much would $100 invested at 8% interest compounded annually be worth after 15 years?

Rounding our answer to the nearest cent and using the compound interest formula: A = P(1 + i)^n, and considering the following:

P is the initial principle,

i is the annual rate of interest expressed as a decimal fraction, and

n is the number of years.

Assuming annual compounding, the easiest way to approach this involves logs.

Plug in your numbers.

A = 100(1.08)^15

Log(A) = Log(100) + 15Log(1.08)

Log(A) = 2 + 15(0.0334237555) = 2.50135633

A = 10^2.50135633 = 317.21691

or about $317.22

Answer: How much would $100 invested at 8% interest compounded annually be worth after 15 years? $317.22

Eat snacks. Read a book. Kick Apex's ass.