Answer:
The function is represented by
.
Step-by-step explanation:
In this case, we must observe that total cost of the dog (
) is the sum of two components: i) <em>Fixed cost</em> (
) - Adoption fee, ii) <em>Variable cost</em> (
) - Daily cost of feeding the dog, both measured in US dollars.
In addition, we suppose that variable cost is directly proportional to the number of days that Kirstin owns her dog. That is:


Where:
- Number of days that Kirstin owns her dog, measured in days.
- Daily feeding costs, measured in US dollars per day.
If
, then:

The function is represented by
.
Answer:
b
Step-by-step explanation:
Answer:
C. 18
Step-by-step explanation:
We can find the numbers of payments using following formula
PV = PMT(1- (1+r)^-n)/r
PVr / PMT = 1 - (1+r)^-n
Where
PV = present value = $1,100
PMT = monthly payments = $71.50
r = interest rate = 19.2% / 12 = 1.6%
n = numbers of month = ?
Placing values in the formula
(1+r)^-n = 1 - PVr /PMT
1.016^-n = 1-1100 x 0.016/71.50
1.016^-n = 0.753846154
-n x log 1.016 = log 0.753846154
n = - log 0.753846154 /log 1.016
n = 17.8
n = 18 payments
From the problem description, we can construct an algebraic equation for the situation. Let S be the salary and x be the number of employees.
S = kx
where k is the proportionality constant
Using variation,
k = S₁/x₁ = S₂/x₂
Substituting,
34000/12 ? 36000/16
2833.33 ? 2250
Thus,
2833.33 ≠ 2250
<em>It does not follow the company's policy.</em>
Answer:
a) A = π30² = 900π cm² ≈ 2,827 cm²
b) V = Ah = 900π80 = 72000π cm³ ≈ 226,195 cm³
Step-by-step explanation: