Response:
The connection between battery capacity and time is:
The associated graph is provided.
Step-by-step explanation:
We will plot the battery's charged capacity against time.
The charging rate remains steady; hence, the relationship is linear.
Initially, at time t=0, the battery's capacity measures 0.2 (or 20%).
With each passing minute, an additional 5% of its capacity is accumulated. Thus, at t=1, the capacity becomes 0.2 + 0.05 = 0.25 (or 25%).
We can derive the slope for the linear function as:
Consequently, the correlation between battery capacity and time is:
Answer:
On a coordinate grid, a triangle is defined by the points R' (1, 2), S' (3, -1), T' (7, 1)
Step-by-step explanation:
We can interpret the coordinates of the triangle's vertices as...
R(-2, 1), S(1, 3), T(-1, 7)
Applying the transformation (x, y) ⇒ (y, -x), these coordinates change to...
R'(1, 2), S'(3, -1), T'(7, 1) . . . . . (this corresponds to the first option)
Detailed explanation:
Information provided:
Tran possesses a credit card that allows up to $2000 in spending with an APR of 12%.
In the initial month, Tran incurred charges of $450 and settled $150 within that billing period.
The formula to determine the interest that will accrue for Tran in the first month is (0.012)(300)
Here, 0.01 signifies the monthly interest rate.
The 300 reflects the outstanding balance, as Tran charged $450 but only paid back $150.
Answer:
Step-by-step explanation:
a. Create a direction field for the specified differential equation
b. By observing the direction field, comment on the behavior of the solutions as t becomes large.
The solutions seem to oscillate
All solutions appear to approach the function y0(t)=4
All solutions seem to converge to the function y0(t)=0
All solutions appear to have negative slopes eventually and thus decrease indefinitely
All solutions seem to have positive slopes eventually and therefore increase without limit
C
As t approaches infinity
All solutions seem to exhibit positive slopes eventually and thus decrease indefinitely
The solutions seem to gradually approach the function y0(t)=0
All solutions appear to eventually have negative slopes leading to decrease without bounds
All solutions seem to converge to the function y0(t)=4
The results are oscillatory
Because
1 USD = 113.83 Japanese Yen
To convert 100 USD: 100 × 113.83 Japanese Yen
Therefore 100 USD = 11,383.00 Japanese Yen
