Answer:
B'(16,14)
Step-by-step explanation:
In square ABCD, A(2,7) C(8,1) D(2,1). First, find the coordinates of the vertex B. From the attached diagram you can see that CD=6 units and is parallel to the x-axis, AD=6 units and is parallel to the y-axis. So, B(8,7).
The origin O is the center of dilation, 2 is the scale factor. The rule of the dilation is
(x,y)→(2x,2y)
Thus,
B(8,7)→B'(16,14) (see attached figure).
5% interest compounded annually for 3 years multiplies the initial balance by
... 1.05^3 = 1.157625
5% simple interest for 3 years multiplies the initial balance by 1 + 3*0.05 = 1.15.
The difference of these multipliers is
... 1.157625 - 1.15 = 0.007625
If the difference in account balance is Rs 61.00, then the invested principal amount P is
... P*0.007625 = 61.00
,.. P = 61.00/0.007625 = 8000.00
The sum of money is Rs 8000.
She has 50% that she will get heads
Answer:
Q = 193.27 kg
Step-by-step explanation:
A shopkeeper mixed three quality of pulses weighing 34.650 kg ,68.275 kg and 90.350 kg respectively.
We need to find the total quality of pulse he has. It means, total quality of pulse he has is :
Q = 34.650 + 68.275 +90.350
= 193.27 kg
Hence, he has 193.27 kg pulse.
