Answer:
A) 3π/4
B) 9π/7
C) 11π/6
Step-by-step explanation:
In the picture attached, the points are shown
Point A is between π/2 radians (90°) and π radians (180°). The only possible option is 3π/4
Point B is between π radians (180°) and 3π/2 radians (270°). The only possible option is 9π/7
Point C is between 3π/2 radians (270°) and 2π radians (360°). The only possible option is 11π/6
There is an infinite amount of 10 digits numbers with at leas two 1s in it.
Answer:
$3000.
Step-by-step explanation:
Suppose the amount invested at 7% is $X and the amount invested at 10% is $Y (assuming that the college student invested all his/her income on the two schemes). Therefore:
X + Y = 8200 (The sum of investments is basically the total income).
0.07X + 0.1Y = 664 (The sum of the interest received from the invested amounts is actually the total return).
Now solving these 2 simultaneous equations:
x + y = 8200 (Equation 1)
7x + 10y = 66400 (Equation 2)
From (Equation 1):
x = 8200 - y (Equation 3)
Put (Equation 3) in (Equation 2):
7(8200 - y) + 10y = 66400.
57400 - 7y + 10y = 66400.
3y = 9000
y = 3000.
$Y is the amount invested at 10%, therefore the final answer is $3000!!!
