A) 62 -2t < 40 . . . . . t is time in hours
c) 6+3n ≤ 96 . . . . . . n represents the number
e) 4 +2W < 62 . . . . . . W represents the width of the rectangle
f) 3.50 +0.15p ≤ 5.00 . . . . . p is the number of pencils Miranda buys
You don't say whether you want simple interest or compound interest. I will assume you want the latter.
A = Compound Amount = P(1+0.04)^3
= $34100(1+0.04)^3 = $38357.86 (answer)
Answer:
m∠QPR = 35° m∠QPM =40° m∠PRS = 30°
Step-by-step explanation:
ΔPRQ is a right triangle with right angle at R. So m∠QPR = 90 - 55 = 35
ΔQPM is a right triangle with right angle at M. So m∠QPM = 90 - 40 = 40
Arc RQ = 2(35) = 70 and arc SR = 2(25) = 50.
So arc PS = 180 - (arc RQ + arc SR) = 180 - (70 + 50) = 180 - 120 = 60
Now arc PS is the intercepted arc for ∠PRS.
Therefore, m∠PRS = 60/2 = 30
I used the fact that an inscribed angle has a measure 1/2 the measure of the intercepted arc several times. Also, I used the fact that the acute angles of a right triangle are complementary. And, finally I used the fact that an inscribed angle in a semicircle is a right angle.
I hope this helped.
6. 18
7. 40
8. 36
9. 10
10. 24
11. 21
12. 8/18=4/9
13. 24/35(cannot be simplified)
14. 9/20(cannot be simplified) hope this helps
Variable , constant, variable
