<span>The amount P as a function of t (in years) is given by
P(t) = P0 (1 + r/n)^(t n)
So if n = 4, and r = 0.02, and P0 = 1000, then
P(t) = 1000 (1 + 0.02/4)^(4 t) = 1000 (1 + 0.005)^(4 t)
At the end of the first quarter, t = 1/4, so
P(1/4) = $1000 (1.005)^(1) = $1005
At the end of the second quarter, t = 1/2 , therefore
P(1/2) = $1000 (1.005)^(2) = $1000 (1.010025) = $1010.03
At the end of the third quarter , t = 3/4, therefore
P(3/4) = $1000 (1.005)^(3) = $1000 (1.015075125) = $1015.08
At the end of the year, t = 4, therefore
P(1) = $1000 (1.005)^4 = $1000 (1.020150500625) = $1020.15
As for the second question, after the first period (quarter),
the formula becomes
P = P0 (1.005)^1 = 1.005 P0
which is choice A. </span>
Answer:
b
Step-by-step explanation:
<span>The line in the chart in slope intercept form has the equation
y = 25x + 50
Since x is the number of days and y is the total cost, it looks like the rental cost is a linear function of the number of days you've rented the game. So the most logical response is that the rate of change represents "daily rate for renting the game"
Since the actual options from the "drop-down menu" weren't provided, you'll have to select the choice that most closely matches the intent of "daily rate for renting the game"</span>
Answer:
14.6 feet
Step-by-step explanation:
Let A be the area of a square and S be the length of one of its sides.
The area of a square is A = S². We know A = 214 in this problem, so:
214 = S²
√214 = S
S ≈ 14.629 ≈ 14.6 feet (to the nearest tenth of a foot)
We know that
[area of the figure]=[area of rectangle]+[area of semi circle]
area of rectangle=b*h------> 10*18-----> 180 cm²
area of semicircle=pi*r²/2
diameter=18 cm
radius=18/2----> 9 cm
area of semicircle=pi*9²/2-----> 127.17 cm²
[area of the figure]=[180]+[127.17]------> 307.17 cm²
round <span>to the nearest unit </span>------> 307 cm²
the answer is
the area of the figure is 307 cm²
