Answer: The answer is (d) Compounding.
Step-by-step explanation: We are given four options out of we are to select the best way through which we can achieve significant increases in interest after all in a savings account.
Increases in principle and increases in time will not give the result, because we are talking about a fixed amount of money for a fixed time.
Also, increases in interest is not in our hand.
So, only we can do is compounding. Here, in same amount of money and time, the rate of interest will automatically increase.
Thus, the correct option is (d) Compounding.
Answer:
Step-by-step explanation:
The length of one revolution of the sprocket is ...
C = 2πr = 2π(1.5 in) = 3π in
Then the length of 3250 revolutions is ...
3250(3π in) = 30,630.53 in
About 30,631 inches of chain travel past the sprocket in one minute.
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There are 12 inches in a foot, so the number of feet is ...
30,630.53 in/(12 in/ft) = 2552.54 ft
About 2553 feet of chain travel past in one minute.
We need to convert the equation of the circle to standard form only then we can find the radius and the center of the circle.
From this equation we can write:
Center of the circle is (-1,1) and the radius of the circle is 4.
Answer: Area of Δ DUO = 12.0 square units.
Step-by-step explanation:
From the diagram, Δ DPA is a right angled triangle and right angled at P.
Therefore ∠D will be
Tan ∅° = PA/DP ie, opposite side all over the adjacent.
= 4.5/3.75
Tan∅° = 1.2
to calculate ∅°, we know find the inverse of Tan 1.2
∅ = Tan^-1 1 .2 from your log tables or calculator
∅° = 50.20°.
= 50°
Since line DR is ⊥ to line OP
∠ADR = 90° - 50°
= 40°.
From the diagram,
∠ADR = ∠UDR = 40°
Therefore,
∠ODU = 180 - ( 40 + 40 + 90 ) { Angle on a straight line }
= 180 - 170
= 10°
From Δ UDM , line MU is he height of the required Δ DUO whose area is to be determined.
Now find the height MU
Tan10.0° = MU/10, where MU is the opposite side and 10.0 is the adjacent from the diagram given.
MU = Tan10.0 x 10.0
= 0.1763 x 10.0
= 1.763
Therefore to calculate the area of Δ DUO
= 1/2 x base x height
= 1/2 x line OD x line MU
= 1/2 x 14.0 x 1.763
= 7 x 1.763
= 12.341
= 12.0 square units.
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