Use compound interest formula F=P(1+i)^n twice, one for each deposit and sum the two results.
For the P=$40,000 deposit,
i=10%/2=5% (semi-annual)
number of periods (6 months), n = 6*2 = 12
Future value (at end of year 6),
F = P(1+i)^n = 40,000(1+0.05)^12 = $71834.253
For the P=20000, deposited at the START of the fourth year, which is the same as the end of the third year.
i=5% (semi-annual
n=2*(6-3), n = 6
Future value (at end of year 6)
F=P(1+i)^n = 20000(1+0.05)^6 = 26801.913
Total amount after 6 years
= 71834.253 + 26801.913
=98636.17 (to the nearest cent.)
Answer:
42
Step-by-step explanation:
The permutation formula is P(n, r) = n! / (n - r)!. We know that n = 7 and r = 2 so we can write:
7! / (7 - 2)!
= 7! / 5!
= 7 * 6 * 5 * 4 * 3 * 2 * 1 / 5 * 4 * 3 * 2 * 1
= 7 * 6 (5 * 4 * 3 * 2 * 1 cancels out)
= 42
Answer:
- B. On a coordinate plane, an absolute value curve curves up and to the right in quadrant 4 and starts at y = 1.
Step-by-step explanation:
<u>Graph of the function:</u>
The domain is x ≥ 0, the range y ≤ 1
Correct answer choice is B
- On a coordinate plane, an absolute value curve curves up and to the right in quadrant 4 and starts at y = 1.
<em>The graph is attached</em>
Answer:
(a)
A to B to C =40 yards
(b)
w<40
Step-by-step explanation:
We are given
The distance between point A and point B is 15 yards
AB=15 yards
The distance between point B and point C is 25 yards
BC=25 yards
(a)
A to B to C = AB+BC
A to B to C =15+25
A to B to C =40 yards
(b)
direct distance between A to C or AC
It must be less than distance between A to B to C
AC< AB+BC
AC< 15+25
AC< 40 yards
w<40
Answer:
33.32 / 9.8 = 3.4;
Step-by-step explanation: