Showing posts with label algebra 1. Show all posts
Showing posts with label algebra 1. Show all posts

Tuesday, May 10, 2016

Simplify the Radical Equation sqrt x/25

A radical beard from publicdomainreview.org


Simplify the radical expression √x/25.

Okie dokie.

















Answer: A. sqrt of x/5


I so like coffee...


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 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.