Answer:
Step-by-step explanation:
Since we have an amount in the future of 750, we are going to use Future value formula; FV = PV (1+r)^t
where PV= Initial amount deposited
r= interest rate or discount rate
t = total duration of the investment
FV= 750
PV=500
r = 2.5% or 0.025 as a decimal
t = ?
Next, plug in the numbers into the formula;
750 = 500* (1+0.025)^t
divide both sides by 500;
750/500 = 1.025^t
Introduce <em>ln</em> on both sides
ln 1.5 = ln 
ln 1.5 = t ln 1.025
0.4054651 = 0.0246926 t
Divide both sides by 0.0246926 to solve for t;
0.4054651/0.0246926 = t
t = 16.42
Therefore it will take 16.42 years
(1-cos^2(x)) csc^2(x)=1
one of the trigonometry rules is sin^2(x) + cos^2(x) = 1 if you rearrange this you realize that sin^2= 1-cos^2(x)
we also know that csc^2(x)= 1/sin^2(x) so now you can rewrite your equation as:
sin^2(x) x 1/sin^2(x) = 1
sin^2(x)/sin^2(x) =1
the LHS (left hand side) can cancel down to 1 because the numerator and denominator are the same
so then 1=1 Therefore LHS=RHS
Hope this helps
Answer:
2(4a - 4b) + 4(3a + 2b) = 20a
Step-by-step explanation:
2(4a - 4b) + 4(3a + 2b)
8a - 8b + 12a + 8b
8a + 12b - 8b + 8b
20a+ 0 = 20a
Thus, 2(4a - 4b) + 4(3a + 2b) = 20a
<u>-TheUnknownScientist</u>
Answer:
<em>Type 7.5 in the box!</em>
Step-by-step explanation:
Consider the trapezoid formula ( ( base 1 + base 2 ) / 2 ) * height;
<em>Area = 7.5 square units</em>
