Type in the question without g(x)
Answer:
d
Step-by-step explanation:
FV = P (1 + r/m)^mn
FV = Future value
P = Present value
R = interest rate
N = number of years
m = number of compounding
a. 6000x (1 + 0.04/12)^24 = 6498.86
b. . 6000x (1 + 0.03/12)^36 =6564.31
c. . 6000x (1 + 0.01/12)^48 = 6244.76
d. . 6000x (1 + 0.05/12)^60 =6630.47
Answer:-10
Step-by-step explanation:
45 +5=-5x
-5x=50
X=-10
To find the value of r
We will follow the steps below
Usinf the equation of a slope:
slope(m) =
from the question given;
m= -3/4
x₁ = 3
y₁=4
x₂=-1
y₂=r
substituting the values into the slope formula
we can now simplify and then solve for r
cross-multiply
-3 x -4 = 4(r-4)
12 = 4(r-4)
Divide both-side of the equation by 4
3 = r - 4
add 4 to both-side of the equation
3+4 = r-4+4
7 = r
r=7
Therefore the value of r is 7
Answer:
a) m∠BPD = 120°
b) m∠BC + m∠AD = 120°
Step-by-step explanation:
a) To solve for question a, we make use of a theorem called the intersecting chord theorem. This states that:
The measure of the angle formed by two chords that intersect inside a circle is the average of the measures of the intercepted arcs.
The Interior angle =( The larger exterior arc + The smaller exterior arcs) ÷ 2
The larger exterior arc (m∠BD) = 170°
The small exterior arc (m∠CA) = 70°
m∠BPD = m∠BD + m∠CA/2
m∠BPD = 170° + 70°/2
= 240°/2
= 120°
b) We are to find m∠BC + m∠AD
The sum of exterior angles in a circle = 360°
360° = m∠BD + m∠CA + m∠BC + m∠AD
360° = 170° + 70° + m∠BC + m∠AD
360° = 240 + m∠BC + m∠AD
360 - 240° = m∠BC + m∠AD
Thererefore,
m∠BC + m∠AD = 120°
