9514 1404 393
Answer:
12. C
13. D
Step-by-step explanation:
12. For interest r on principal P compounded n times per year for t years, the account balance is ...
A = P(1 +r/n)^(nt)
For P=800, r=0.05, n=365, t=6, this becomes ...
A = 800(1 +0.05/365)^2190 . . . . matches choice C
Note: if you're familiar with the formula, you will notice choice C is the only one with 'n' in the right place.
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13. The form of an exponential function is ...
y = a·b^x . . . . . . . . where 'a' is the initial value, and 'b' is the growth factor
The form of the equation eliminates choices A and B.
Here, the initial value is 1.87, eliminating choice C.
Matching the problem statement to the form of the exponential function we see that the equation of choice D is appropriate.
graphed it with desmos (free as app and website).
the solutions are in the screenshot
(1, 3)
(3, 7)
Yes i agree it’s a number 1 as well
Because these triangles are congruent, then angle a is the same degree measure as angle x; angle b is the same as y; and angle c is the same as z. We also know that, because of the Triangle Angle-sum Theorem, all the angles of a triangle have to add up to equal 180 degrees. So for us that means that a+b+c(which is also z) = 180. 50 + 2x + 40 + 4x + 8 = 180. Combining like terms we have 6x + 98 = 180. Subbtracting 98 from both sides gives us 6x = 82 and x = 13 2/3
Total distance traveled = 4 + 6 = 10 miles
Total time = 15 + 25 = 40 minutes
Speed = 10 miles ÷ 40 minutes = 0.25 mph
