Answer:
a) growth
b) $500
c) 6% = 0.06
d) 
e) $595.51
Step-by-step explanation:
<u />
<u>Part (a)</u>
Exponential GROWTH, since interest is applied to the account each year.
<u>Part (b)</u>
Initial amount = $500
<u>Part (c)</u>
Growth factor = 6% = 0.06 (in decimal form)
<u>Part (d)</u>
General form of exponential growth function:

where:
- a = initial amount
- r = rate of growth (in decimal form)
- x = time (in years)
Given:


<u>Part (e)</u>
when x = 3

If a line <span>parallel </span>to one side of a <span>triangle </span>intersects the other two sides of the triangle, then the line divides these two sides proportionally.
Answer:
A). PR = 16.13 ft
B). QR = 9.64 ft
Step-by-step explanation:
Part (A).
From the figure attached,
ΔPQR is a right triangle,
m(PQ) = 14 ft
m(QR) = 8 ft
By applying Pythagoras theorem,
Hypotenuse² = (Leg 1)² + (Leg 2)²
(PR)² = (PQ)² + (QR)²
(PR)² = (14)² + (8)²
PR = √260
= 16.125
≈ 16.13 ft
Part (B).
If PR = 17 feet
and PQ = 14 feet
By applying Pythagoras theorem in ΔPQR,
PR² = PQ² + QR²
(17)² = (14)² + (QR)²
(QR)² = 289 - 196
QR = √93
= 9.644
≈ 9.64 ft