Expressed in scientific notation the answer would be 3.05 X 10^6
Y+3=1/2•(x+8) (point slope form)
should be correct
Answer:
The length of x in #1 is 15.57
Step-by-step explanation:
Let's use #1 as an example to teach show you how to do this. In a right triangle we can solve these using trig. In this particular one, we have the measure adjacent to the angle and we are looking for the one opposite of the angle. So we look at all the trig functions and select the one that uses both of those two terms.
Sinα = Opp/Hyp
Tanα = Opp/Adj
Cosα = Adj/Hyp
As you can see, Tan is the function we are looking for. So we plug in all known information into that equation.
Tanα = Opp/Adj -----> Plug in known values
Tan(60) = x/9 ----->Calculate out the trig function
1.73 = x/9 -----> Multiply by the denominator to solve
15.57 = x
Principal = 109,000
Return - 9,920
Return = (principal x rate x time)/100
X = the amount invested at 12%
Then 102000- x = the amount invested at 8%
9920 = (x*12)/100 + (109000-x*8)100
x = 30,000
a) 30,000 is invested at 12%
79,000 is invested at 8%
b) The 12% investment is riskier so if all the money was in that account the investor could lose all his money.
