An opportunity cost of 9 percent, is $42.
We have given that,
The present value of $100 is to be received 10 years from today,
assuming an opportunity cost of 9 percent,
present value =$100
N=10 years
I/y=9
<h3>What is the formula for the present value?</h3>
PV= FV/(1+r)^n
Where FV is the future value.
Use the given values in the formula we get,
Therefore the correct answer is 42.
To learn more about the present value visit:
brainly.com/question/20813161
#SPJ1
The area of the triangle is 4 units²
<h3>What is the area of a triangle?</h3>
The area of a triangle is the half the base multiplied with the height of that triangle
Area = 1/ 2 × b × h
From the figure given,
base = 7 - 3 = 4 units
height = 4 - 2 = 2 units
Area = 1/ 2 × 4 × 2
Area = 1/ 2 × 8
Area = 4 units²
Thus, the area of the triangle is 4 units²
Learn more about a triangle here:
brainly.com/question/1475130
#SPJ1
The total outcomes of creating a password is 20
<h3>How to determine the total outcomes creating different passwords with the given characters and numbers?</h3>
The given parameters are
Letters = 3
Digits = 5 digits i.e 0, 2, 4, 6, or 8.
From the question, the digits and the letters cannot be repeated.
So, we have:
Possible letters = 3 characters (position fixed)
Digits = 2 numbers
So, the total outcomes of creating different passwords is
Total = 1 * 1 * 1 * 5 * 4
Evaluate the product
Total = 20
Hence, the total outcomes of creating a password is 20
Read more about combination at:
brainly.com/question/11732255
#SPJ1
Answer:
Step-by-step explanation:
Since angles A and E correspond, as well as angles C and F, we can say ...
ΔABC ~ ΔEDF
Then the ratio of side lengths of ΔABC to those of ΔEDF is ...
AC/EF = 6/2 = 3
That means ...
ED/AB = 1/3
ED = AB·(1/3) = 3.3·(1/3) = 1.1
For the remaining sides, we have the relation
3·DF = BC
3·(BC -3.2) = BC
2BC - 9.6 = 0 . . . eliminate parentheses, subtract length BC
BC -4.8 = 0 . . . . . divide by 2
BC = 4.8 . . . . . . . . add 4.8
DF = BC·(1/3) = 1.6
The unknown side lengths are BC = 4.8, DE = 1.1, DF = 1.6.
To evaluate the expression shown:
we begin by evaluating the numerator:
0.6+2.4(3-0.7×5/7)-7÷3 1/2
re-writing in proper fractions we get:
0.6+2.4(3-0.7×5/7)-7÷7/2
working out the parenthesis we get:
0.6+2.4(3-0.5)-7÷7/2
simplifying the above we get:
0.6+2.4(2.5)-7×2/7
=0.6+6-2
=4.6
working out the denominator we obtain:
5 1/4×4-(5.9-2.7÷9/11)×2 1/2
rewriting in proper fraction we get:
21/4×4-(5.9-2.7÷9/11)×5/2
working out the parenthesis:
21/4×4-(5.9-2.7×11/9)×5/2
=21-(5.9-3.3)×5/2
simplifying gives us:
21-(2.6×5/2)
=21-6.5
=14.5
thus putting back the expression we get:
4.6/14.5
=46/145
