Answer:
Future Value= $112.72
Step-by-step explanation:
Giving the following information:
Initial deposit (PV)= $100
Number of periods (n)= 2*12= 24 months
Interest rate (i)= 0.06/12= 0.005
<u>To calculate the future value (FV), we need to use the following formula:</u>
FV= PV*(1 + i)^n
FV= 100*(1.005^24)
FV= $112.72
Answer:
1. D
2. B
3. A
4. C
Step-by-step explanation:
1. Vertical angles are a pair of opposite angles formed by the intersection of lines. Choice D has two lines intersecting, and two opposite angles formed by it.
2. Adjacent angles are two angles that have a common vertex and common side but do not overlap. Choice B is two angles with a common vertex and common side, and they don't overlap.
3. Supplementary angles are angles that add up to 180 degrees/make a straight angle. Choice A has two angles that add up to 180 degrees, and the two angles combined make a straight angle/line.
4. Two angles are called complementary angles if they add up to 90 degrees and form a right angle. Choice C has two angles that form a right triangle, meaning it adds up to 90 degrees.
Answer:
Sum of cubes identity should be used to prove 35 =3+27
Step-by-step explanation:
Prove that : 35 = 8 +27
Polynomial identities are just equations that are true, but identities are particularly useful for showing the relationship between two apparently unrelated expressions.
Sum of the cubes identity:
Take RHS
8+ 27
We can write 8 as and 27 as .
then;
8+27 =
Now, use the sum of cubes identity;
here a =2 and b = 3
or
= LHS proved!
therefore, the Sum of cubes polynomial identity should be used to prove that 35 = 8 +27
Answer:
x = 30
Step-by-step explanation:
9-x/5=3
Subtract 9 from each side
9-9-x/5=3-9
-x/5 = -6
Multiply each side by -5
-x/5 *-5 = -6*-5
x = 30
Answer:
f(2) =5
Step-by-step explanation:
We have a function f(x) = 3x-1
When we find f(2) ,let x=2
f(2) = 3*2-1
= 6-1
=5