The answer is 28.26
work:
Equation for area of circle: pi*radius squared
the radius of the circle is 3
3 squared is 9
9 times 3.14 is 28.26
Incomplete question. However, let us assume
- the interest rate is 5%, and
- the time is 1 year.
Answer:
<u>$150</u>
Step-by-step explanation:
Note, the bank manager wants new customer accounts opened with at least, $3,000. Hence we have a principal, $3000. Using the simple interest formula:
= $150
Therefore, the <em>minimum</em> amount of interest a new account would make in one year is <u>$150.</u>
For 1 cup of flour we need 2/3 teaspoons of vanilla.
For 5 cups of flour:
5 x 2/3 = 10/3 = 3 1/3 = 3.333...
Answer:
3 1/3 teaspoons.
Applying parallel line postulate twice
36degree=3x degree +2y degree
126 degrees=12 x degree + 2y degree
So, the two equations are:
3x + 2y = 36
and
12x + 2y = 126
Eliminate x to solve for y
-(3x + 2y)= -(36)
-3x - 2y = -36
Combine the equations
(-3x - 2y)+ (12x + 2y) = (-36) + (126)
-3x -2y + 12x + 2y = -36 + 126
9x = 90
x = 10
Plug value of x back into to the equations to solve for y
3(10) + 2y = 36
30 + 2y = 36
2y =6
y = 3
Optional
Plug x into the other equation to check for error
12(10) +2y = 126
120 + 2y =126
2y = 6
y = 3
A. True. Summing any rational number with an irrational number leads to an irrational result. The proof is a bit lengthy so I'm leaving it out.
B. True. Adding p/q with r/s leads to (ps+qr)/(qs) which is rational. Keep in mind that q and s cannot be zero.
C. False. One counter example is sqrt(3)*sqrt(12) = sqrt(3*12) = sqrt(36) = 6. This shows the product of two irrational numbers, in this case sqrt(3) and sqrt(12), multiplying to get a rational result 6 = 6/1.
D. True. Multiplying p/q and r/s leads to (p*r)/(q*s) which is rational. Keep in mind that q and s cannot be zero.
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The final answer is choice C
