Answer:
use trig
Step-by-step explanation:
sin(15) = 100/x
x = 100/sin(15)
use calculator
<span>By similarity of triangles we have the following relationship:</span>
<span> (x) / (6) = (18) / (9)</span>
<span> Simplifying we have:</span>
<span> (x) / (6) = 2</span>
<span> Clearing the value of x we have:</span>
<span><span> x = 6 * 2</span></span>
<span><span> X = 12</span></span>
<span><span> Answer:</span></span>
<span><span> The value of x for this case is equal to:</span></span>
<span><span> <span>X = 12</span></span>
</span>
You're very close. However, the less steep line should go through (4,7) and not some point slightly above that location. Also, the shaded region should be above both dashed lines at the same time. So you won't include the portion that I've marked in blue (see attached). Other than that, it looks great.
Answer:
B. $136,960.54
Step-by-step explanation:
Rate = r = 4%
Times = b = 4
Future Value = A = $315,930
No. pf Years = n = 21
Present Value = P = ?
A = P [1 + (r / b)]ⁿᵇ
$315,930 = P [1 + (0.04 / 4]²¹ ˣ ⁴
$315,930 = P [1 + 0.01]⁸⁴
$315,930 = P [1.01]⁸⁴
$315,930 = P x 2.306723
P = $315,930 / 2.306723
P = $136,960.54