Answer:
If the 1.4% rate of interest is the weekly rate of interest, Then, total first week interest = 1.4(d - w)/100 = 0.014(d - w)
But if the 1.4% rate of interest is a yearly rate of interest compounded weekly, then her total first week interest = 7(d - w)/2600 = 0.00269 (d - w)
Step-by-step explanation:
The interest, I = PRT
P = initial amount of dollars in account = (deposit - withdrawal) = (d - w)
R = rate of interest = 1.4% = 0.014/week
T = time = 1 week
If the 1.4% rate of interest is the weekly rate of interest
I = PRT = (d - w) × 0.014 × 1 = 0.014(d - w)
But if the 1.4% rate of interest is a yearly rate if interest compounded weekly,
P = initial amount of dollars in account = (deposit - withdrawal) = (d - w)
R = rate of interest = 1.4% = 0.014/year
T = time = 1 week = (1/52) years
I = PRT = (d - w) × 0.014 × (1/52) = 7(d - w)/2600 = 0.00269 (d - w)
Hope this Helps!!!
Critical points occur when
, which happens for
and
.
Check the sign of the second derivative at each critical point to determine the function's concavity at that point. If it's concave (
), then a maximum occurs; if it's convex (
), then a minimum occurs.
You have
and so
This means a maximum of
and a minimum of
.
Answer:
i think 1476 but not to sure
Step-by-step explanation:
9514 1404 393
Answer:
- 320 m after 8 seconds
- 5.6 seconds, 10.4 seconds to height of 290 m
Step-by-step explanation:
To find the height at 8 seconds, evaluate the formula for t=8.
S(t) = -5t^2 +80t
S(8) = -5(8^2) +80(8) = -320 +640 = 320
The height of the rocket is 320 meters 8 seconds after takeoff.
__
To find the time to 290 meters height, solve ...
S(t) = 290
290 = -5t^2 +80t
-58 = t^2 -16t . . . . . . . divide by -5
6 = t^2 -16t +64 . . . . . complete the square by adding 64
±√6 = t -8 . . . . . . . . . take the square root
t = 8 ±√6 ≈ {5.551, 10.449}
The rocket is at 290 meters height after 5.6 seconds and again after 10.4 seconds.
Answer:
34.98 yds²
Step-by-step explanation:
To find surface area, we add together the area of each side. We have six sides, but there are three sets of identical sides, so it's easier to calculate.
We begin with the sides with dimensions 2.40 and 2.50. Multiply these together.
2.40 · 2.50 = 6
Since there are two of these sides, we can already say that the combined area of them is 12. So, we start the equation with 12.
Next, the two sides with dimensions 2.34 and 2.50. Multiply these together as well, to get 5.85. Multiply this by two to find the area of both sides, 11.7.
Add to our equation, for 12 + 11.7.
For the final two sides, we have the dimensions 2.34 and 2.40. Multiply to get 5.64. Multiply this again by two to find the area of both sides. We get 11.28. Add this to the equation as well, for 12 + 11.7 + 11.28= 34.98.
The answer is 34.98 yds². Good luck :)
