Answer: 2.66 × 10⁻¹³
<u>Step-by-step explanation:</u>
First, use the decay formula
where
- A is the final amount (amount left)
- A₀ is the initial amount (amount you started with)
- k is the rate of decay (you need to solve for this)
- t is the time
Given:
- A = 1/2(300) = 150
- A₀ = 300
- k = unknown
- t = 28.8

Next, input the k-value and the new t-value to solve for A.
- A = unknown
- A₀ = 300
- k = -0.0240676
- t = 1440

Answer:
$110.25
Step-by-step explanation:
Step one:
given
principal= $100
rate= 5%
time = 2 years
Required
The final amount
Step two:
The compound interest formula is

substituting we have

The final amount is $110.25
Answer:
∠ U = 60°
Step-by-step explanation:
The tangent- tangent angle U is half the difference of its intercepted arcs
minor arc VT = 120° , then
major arc VT = 360° - 120° = 240°
Then
∠ U =
(240 - 120)° =
× 120° = 60°
Let h = the number of horses in the field
Let c = number of cows in the field
There are 2 more horses than cows in the field. Therefore
h = c + 2
or
c = h - 2 (1)
There are 15 animals in the field. Therefore
h + c = 15 (2)
Substitute (1) into (2).
h + (h - 2) = 15
2h - 2 = 15
Answer:
The correct equation is
2h - 2 = 15
First calculate the hourly rate, which is the difference of cleaning 2 and 1 rooms:
175-125=50
then calculate the initial value by subtracting the hourly rate from the "1 room" cost:
125-50=75
The initial cost might be something like driving to the place (which is only necessary once), while the rate covers work time or cleaning utensils used.