Answer:
20 years
Step-by-step explanation:
We start by writing an exponential equation;
FV = PV( 1 + r)^t
FV is the future value = 1,000,000
PV is present value = 372,000
r is rate = 5% = 5/100 = 0.05
t is time which we are looking for
1,000,000 = 372,000(1 + 0.05)^t
1.05^t = 1,000,000/372,000
1.05^t = 2.688
t ln 1.05 = ln 2.688
t = ln 2.688/ln 1.05
t = 20 years
Answer:
B) 3.2 mi
Step-by-step explanation:
1. The midpoints: midpoint formula = <em>((x₁ + x₂)/2, (y₁+ y₂)/2)</em>
upper = ((6 + -4)/2, (8 + 0)/2) --><em> (1, 4)</em>
lower = ((-8 + 2)/2, (3 + -5)/2) --><em> (-3, -1)</em>
2. Distance: distance formula = <em>√((x₁ - x₂)² + (y₁ - y₂)²)</em>
√((1 + 3)² + (4 + 1)²) = √(16 + 25) = √41 ≈ 6.403... ≈ <em>6.4</em>
3. Scale: 6.4 * 0.5 mi = 3.2 mi
Answer: 17 families
Step-by-step explanation:
The formula of an area of a triangle:
b - base
h - height
We have b = 8x and h = 7x. Substitute:
<h3>Answer: 28x²</h3>
Answer:
m∠C = 90°
Step-by-step explanation:
Triangle BDC is a right triangle with the measure of angle D = 90°
By applying Cosine rule in the given triangle,
Since, Cosine of any angle in a right triangle is a ratio of Its adjacent side and Hypotenuse (Opposite side of the right angle)
CosC = 
CosC = 
CosC = 
C = 28.955
C = 29°
Therefore, m∠C = 29° will be the answer.
