Present value: P=$420
Annual interest: i=3%=3/100→i=0.03
Compounded monthly→Number of periods per year: n=12
Future Value: F=?
In two months: t=2
F=P(1+i/n)^t
F=$420(1+0.03/12)^2
F=$420(1+0.0025)^2
F=$420(1.0025)^2
F=$420(1.005006250)
F=$422.1026250
Rounded to two decimal places:
F=$422.10
Answer: Option B. $422.10
Answer:
q = -1
Step-by-step explanation:
Solve for q:
15 - 3 (q - 4) = -5 (q - 7) - 10
-3 (q - 4) = 12 - 3 q:
12 - 3 q + 15 = -5 (q - 7) - 10
Grouping like terms, -3 q + 12 + 15 = (12 + 15) - 3 q:
(12 + 15) - 3 q = -5 (q - 7) - 10
12 + 15 = 27:
27 - 3 q = -5 (q - 7) - 10
-5 (q - 7) = 35 - 5 q:
27 - 3 q = 35 - 5 q - 10
Grouping like terms, -5 q - 10 + 35 = (35 - 10) - 5 q:
27 - 3 q = (35 - 10) - 5 q
35 - 10 = 25:
27 - 3 q = 25 - 5 q
Add 5 q to both sides:
5 q - 3 q + 27 = (5 q - 5 q) + 25
5 q - 5 q = 0:
5 q - 3 q + 27 = 25
5 q - 3 q = 2 q:
2 q + 27 = 25
Subtract 27 from both sides:
2 q + (27 - 27) = 25 - 27
27 - 27 = 0:
2 q = 25 - 27
25 - 27 = -2:
2 q = -2
Divide both sides of 2 q = -2 by 2:
(2 q)/2 = (-2)/2
2/2 = 1:
q = (-2)/2
The gcd of -2 and 2 is 2, so (-2)/2 = (2 (-1))/(2×1) = 2/2×-1 = -1:
Answer: q = -1
<h2>
The value of h = 0, ± 
</h2>
Step-by-step explanation:
We have,
To find, the value of h = ?
∴
⇒ 
+ (0)
- 12
+ (0) + (0)h = 0
⇒ + 0 - 12 + 0 + 0 = 0
⇒ - 12 = 0
Taking 6 as common, we get
= 0
⇒6 = 0 or, 
- 2 = 0
⇒ 6 = 0 ⇒ h = 0
⇒ = 2
⇒ h = ±
Hence, the value of h = 0, ±
F(-3)=(-2)*(-3)-4=6-4=2
F(-2)=(-2)*(-2)-4=4-4=0
F(-1)=(-2)*(-1)-4=2-4=-2
