An exponential decay function is:
f=ir^t, f=final amount, i=initial amount, r=common ratio, t=number of times ratio is applied...We can see the initial value is 17000 so all we really have to find is the common ratio, or "rate" as some call it :P If we look at the second point, when t=1 we can see:
14280=17000r
r=357/425
r=0.84
So in five years the SUV will be worth more than the car by:
17000(0.84^5)-12000(0.89^5)
$408.73 (to the nearest cent)
Answer:
£103.70
Step-by-step explanation:
Payment per hour = £8.50
Overtime payment = 1.4 × 8.50
= £11.90
Ben worked for 11 hours.
Normal time = 8 hours
Overtime = 3 hours
Total earnings = (8 hours × 8.50) + (3 hours × 11.90)
= £68 + £35.7
= £103.70
Ben earned £103.70 for working for 11 hours
Answer:
p > 10
Step-by-step explanation:
Given
- 6(p - 8) < - 12
Divide both sides by - 6, reversing the symbol as a result of dividing by a negative quantity.
p - 8 > 2 ( add 8 to both sides )
p > 10
Answer:
AB ║ CD. (Proved)
Step-by-step explanation:
See the attached diagram of the triangle.
It is given that Δ ACD is an isosceles triangle.
Therefore, AC = AD and ∠ ACD = ∠ ADC, ⇒ ∠ 3 = ∠ 4 .......... (1)
Again, given that ∠ 1 = ∠ 3 ........... (2)
Now, from equations (1) and (2) we can write, ∠ 1 = ∠ 4
Now, AB and CD are two straight lines and AD is the transverse line and hence, ∠ 1 and ∠ 4 are alternate angles that are equal.
Therefore, AB and CD are parallel straight lines and AB ║ CD. (Proved)