Answer:
V= 452.39cm³ (to 2 d.p. )
S.A. = 326.73cm² (to 2 d.p. )
Step-by-step explanation:
Vcylinder = π r² h = π (4)² (9) = 144 π = 452.3893421cm³ = 452.39cm³ (to 2 d.p. )
S.A. cylinder = 2π r h + 2π r² = 2π (4)(9) + 2π (4)² = 104π = 326.725636cm² = 326.73cm² (to 2 d.p. )
The problem can be represented by the the exponential growth formula which is :

Where: t ⇒ time , A ⇒ initial amount , r ⇒ rate of increase
P(t) ⇒ predicted amount at the end of t.
For the given problem:
initial amount = A = $278,640
<span>predicted increase in value per year = 4% =0.04
</span>
<span>∴ r = 1 + 0.04 = 1.04
</span>
<span>for t = 18 years
</span>
∴

<span />
Rounding to the nearest dollar ⇒ ∴ P(t) = <span>564,474
</span>
So, the predicted value of David's home in 18 years = $564,474
So, The correct option is <span>
$564,474</span>
Answer:
Subtract both sides by 7
Step-by-step explanation:
We have to make sure that we isolate the x term first. So we must subtract 7 from both sides.
Step-by-step explanation:
Point A = (-1, -3).
Midway of AB = (-3, 2).
Let Point B = (x, y).
Then (-1, -3) - (-3, 2) = (-3, 2) - (x, y).
=> (2, -5) = (-3-x, 2-y).
We have -3 - x = 2 and 2 - y = -5.
So x = -5 and y = 7.
Hence, point B = (-5, 7).