I will have $32 470.69 in 10 yr.
I am not investing until 2 yr from now so, in 10 yr time, I will have invested for only 8 yr.
The formula for the future value (FV) of my investment is
FV = <em>C</em>(1 + <em>r</em>)^<em>n</em>
where <em>C</em> = my initial cash
<em>r</em> = the interest rate
<em>n</em> = the number of years
FV = $16 000(1.0925)^8 = $32 470.69
So you're trying to find what number is like that right? Well multiply the denominator by the 20 (20*4) which equals 100, so 100-20 (the one fourth) is 80. So 3/4 fourths of 100 is 20.
Answer:
option: C is correct.
Step-by-step explanation:
since, we are given a parent function f(x) as: f(x)=x.
We are asked to find what change will occur in the function when the parent function f(x) is replaced by f(9x).
let g(x) be the function formed by replacing f(x) with f(9x) i.e.
g(x)=f(9x)=9x.
clearly the slope of the function g(x)=f(9x) is 9. ( since on comparing the equation with the slope intercept form y=mx+c; where m is the slope of the line and c is the y- intercept).
whereas the slope of the function f(x)=x is 1.
Hence there is an increment of slope by a factor of 9.
Hence, option C is correct.
Answer:
Step-by-step explanation:
Use the Law of Cosines to find the measure of angle A from the lengths of the sides.
A = arccos[(b²+c²-a²)/(2bc)] ≅ 29.9°
B = arccos[(a²+c²-b²)/(2ac)] ≅ 54.8°
C = 180 - A - B = 95.3°
The first equation is
The second equation is
If you sum the two equations you'll cancel y:
And since the sum must be 11, we have y=9.
