While converting a number to scientific notation, if you move the decimal point four places to the left, then the exponent that you use for the 10 will have a negative sign. Is this a true statement?

While converting a number to scientific notation, if you move the decimal point four places to the left, then the exponent that you use for the 10 will have a negative sign. Is this a true statement?

Question 18 of 25

True-False: Please select true or false and click "submit."

While converting a number to scientific notation, if you move the decimal point four places to the left, then the exponent that you use for the 10 will have a negative sign.

A.

True

B.

False

Why is this false? because moving a decimal point to the left always results in a positive number.

What are the domain and range for the exponential function F(x) = 4^x + 3?

A. Domain: All real numbers

    Range: All real numbers greater than 3

B. Domain: All real numbers greater than 0

    Range: All real numbers greater than 0

C. Domain: All real numbers

    Range: All real numbers greater than 0

D. Domain: All real numbers greater than 0

    Range: All real numbers greater than 3

Answer: A. Domain: All real numbers

                  Range: All real numbers greater than 3

Have fun, math is easy when you know how to find the answers!

How to Express 0.000332 in Scientific Notation

Using the formula 3.32*10^-4:

3.32(10−4)

=3.32*10−4

=3.32*

1

10*10*10*10

=0.000332


Try the algebra calculator at the MathPapa site. It's awesome: 

http://www.mathpapa.com/algebra-calculator.html?q=3.32*10%5E-4

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

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