Bob constructed an equilateral triangle PQR as shown. He then drew a straight line ST THROUGH POINT P. Determine the sum of the
measures of angles QPS and TPR
1 answer:
You might be interested in
Going out on a limb here and guessing that the function is
Please correct me if this isn't the case.
Recall that
which converges for
.
It follows that
Please correct me if this isn't the case.
Recall that
which converges for
It follows that
Answer:
See explanation and image attached
Step-by-step explanation:
Acceleration refers to the rate of change of speed with time. We can see that between 0 and 4.7 seconds he accelerated quickly . That means that the rate of change of speed with time was greatest between 0 and 4.7 seconds.
A graph of the motion is shown in the image attached. We can see that he maintained a constant speed after 4.7 seconds.
Answer:
Albert = $2159.07; Marie = $2244.99; Hans = $2188.35; Max = $2147.40
Marie is $10 000 richer
Step-by-step explanation:
Albert
(a) $1000 at 1.2 % compounded monthly
A = 1000(1 + 0.001)¹²⁰ = $1127.43
(b) $500 losing 2%
0.98 × 500 = $490
(c) $500 compounded continuously at 0.8%
(d) Balance
Total = 1127.43 + 490.00+ 541.64 = $2159.07
Marie
(a) 1500 at 1.4 % compounded quarterly
A = 1500(1 + 0.0035)⁴⁰ = $1724.99
(b) $500 gaining 4 %
1.04 × 500 = $520.00
(c) Balance
Total = 1724.99 + 520.00 = $2244.99
Hans
$2000 compounded continuously at 0.9 %
Max
(a) $1000 decreasing exponentially at 0.5 % annually
A = 1000(1 - 0.005)¹⁰= $951.11
(b) $1000 at 1.8 % compounded biannually
A = 1000(1 + 0.009)²⁰ = $1196.29
(c) Balance
Total = 951.11 + 1196.29 = $2147.40
Marie is $ 10 000 richer at the end of the competition.