Answer:
the interest rate is .68% per year
Step-by-step explanation:
You deposit $4000 into a bank account and received $9 simple interest after 4 months. The interest rate was 0.68% per year.
Explanation:
STEP 1: Convert 4 months into years.
STEP 2: Find interest rate by using the formula , where I is interest, P is total principal, i is rate of interest per year, and t is total time in years. $9, P = $4000 and t = 0.3333 years, so
<h3>
Answer: 96 units</h3>
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Explanation:
Since ABDE is a rectangle, the opposite sides AE and BD are the same length. This makes BD = 24. Similarly, ED = 20 since AB = 20.
Focus on triangle BCD. Let x be the length of segment CD. We can use the pythagorean theorem to find x
a^2 + b^2 = c^2
(BD)^2 + (CD)^2 = (BC)^2
24^2 + x^2 = 25^2
576 + x^2 = 625
x^2 = 625 - 576
x^2 = 49
x = sqrt(49)
x = 7
Segment CD is 7 units long.
Since ED = 20, this means,
EC = ED + DC
EC = 20 + 7
EC = 27
The perimeter of this trapezoid is
P = sum of all exterior sides
P = AB+BC+CE+EA
P = 20+25+27+24
P = 96 units
Note that we didn't add in side BD as part of the perimeter because it is not an exterior side. Think of sides AB, BC, CE, and AE as outer walls of the house while BD is an interior wall. The perimeter is only worried about the outer walls.
Answer:
16.40 percent
Step-by-step explanation:
-The growth rate is given by the formula:
Where
is the growth rate
is the required return
is the expected next dividend payout and current share prices respectively.
#We make R the subject of the formula and substitute to solve:
Hence, the required return is 16.40%
On your list of choices, there aren't any that ARE equal to 1/16. So I guess you could say that ALL of them are not.
Check the picture below, based that the directrix is a horizontal line, and the vertex is below it, we know is a vertical parabola, and is opening downwards.
notice the distance "p" from the vertex to the directrix, is just 1/2