Answer:
20) 8 years
21) Tori could paint the room alone for 3 hours, Sydney could paint the room alone for 5 hours.
Step-by-step explanation:
A = P ( 1 + r/n ) ^ nt.
8000 = 5000 ( 1 + 6%/4) ^ 4t
8000 = 5000 ( 1 + 0.06/4) ^4t
8000 = 5000 ( 1 + 0.015 ) ^ 4t
8000 = 5000 ( 1.015 ) ^ 4t
8000 / 5000 = ( 4.06 / 4 ) ^ 4t
8/5 = ( 203/200 ) ^ 4t
b = aᶜ ⇔ logₐb = c
Answer:
Two semi circles would equal one circle.
The perimeter of a circle is PI x diameter.
The diameter of the circle is shown as 56 m
The perimeter of the 2 ends = 56 x 3.14 = 175.84
The length of the inside of the track is given as 130 m, and there are 2 sides so 130 + 130 = 260 m.
Total perimeter = 260 + 175.84 = 435.84 m.
Step-by-step explanation:
9514 1404 393
Answer:
$84,330
Step-by-step explanation:
The compound interest formula gives the value of an investment.
A = P(1 +r/n)^(nt)
where principal P is invested at annual rate r compounded n times per year for t years. Using your given values, we can solve for P.
110,000 = P(1 +0.019/12)^(12·14)
P = 110,000/(1 +0.019/12)^(12·14) ≈ 110,000/1.00158333...^168
P ≈ 110,000/1.30446
P ≈ 84326.04 ≈ 84,330 . . . . dollars
Answer:
A nice way to show it is through the unit circle.
In the unit circle, the point at angle theta from the origin has a y value of sin theta.
If you rotate a point 360-theta degrees from the origin, that is like rotating it theta degrees "backwards", or downwards, which is going to yield the same exact point, reflected through the x-axis. In other words, the y value, or sin(360-theta), is exactly -sin(theta).
