Answer:
No
Step-by-step explanation:
If the center is at (0, 0) and if (0, -9) lies on the circle, then the radius must be 9.
In this case, the equation of this circle is
x^2 + y^2 = r^2 = 9^2.
Does (8, 717) satisfy this equation? No. 717^2 would be far outside of the circle. the distance from the center to the point (8, 17) is not the same as the radius
Answer:
A: 114, B: 84
Step-by-step explanation:
Let A be weight of Train A, B be weight of Train B. Since A is heavier than B by 30 tons, A = B + 30. Since A + B = 198, you can substitute for A to get (B+30) + B = 198. Then simplify so 2B = 168 and B = 84.
Then plug B into A = B+30 to get A = 114.
Answer:
6745.09
Step-by-step explanation:
If we assume the nominal annual interest rate is 5%, then the future value after 6 years is ...
FV = P(1 +r/12)^(12·t)
for P = 5000, r = .05, t = 6.
Doing the arithmetic, we get ...
FV = 5000(1 +.05/12)^(12·6) ≈ 6745.09
After 6 years, the bank account will be worth 6745.09.
_____
We made a comment about the interest rate, because the annual <em>yield</em> is about 5.116%. If the <em>annual yield</em> is actually 5%, then the account value is lower: $6700.48. (Monthly compounding is irrelevant in that case, because it is already figured into the yield.)
Usually, the wording would be that the account <em>earns</em> 5% interest compounded monthly.
Hope this helps.
If not, go to: https://www.mathportal.org/calculators/financial-calculators/simple-interest-calculator.php
