Answer:
$341.07
Step-by-step explanation:
Hanna and Dawson both invested at 3.2% = 0.032
Hannah has balance of 31,000 in account
Dawson has balance of 42000 in account
Interests earned by both are
1)Hannah -P(1+i)^-n
=31000(1+0.032)^-1
=31000(1.032)^-1
=31000(0.968992)
=$30038.752
=$30038.75
Interest earned by Dawson is $31,000 - $30038.75 = $961.25
2)Dawson- P(1+i)^-n
=42000(1+0.032)^-1
=42000(1.032)^-1
=42000(0.968992)
=$40697.664
=$$40697.664
Interest earned by Dawson is $42,000 - $40697.66= $1302.32
3) Hence the amount that Dawson earns than is:
=$1302.32-$961.25
= $341.07
Answer:
6 red marbles
Step-by-step explanation:
We must first find our multiplier since a sample represents a population (the whole thing).
6/2 = 3, so 3 * 2 = 6.
I will use the value of 6/2, aka 3 and use that as my divisor.
18/3 = 6.
Therefore, you would expect to have 6 red marbles.
Answer:
Part A) ΔCGB and ΔPBE are similiar
Part B) They are similar because they are Vertical Angles/Alternate Interior Angles
Part C) Distance from B to E is 125; Distance from P to E is 275.
Step-by-step explanation:
Answer:
The answer is a isosceles trapezoid.
Hope this helps!
brainliest? :)
Let's define variables:
s = original speed
s + 12 = faster speed
The time for the half of the route is:
60 / s
The time for the second half of the route is:
60 / (s + 12)
The equation for the time of the trip is:
60 / s + 60 / (s + 12) + 1/6 = 120 / s
Where,
1/6: held up for 10 minutes (in hours).
Rewriting the equation we have:
6s (60) + s (s + 12) = 60 * 6 (s + 12)
360s + s ^ 2 + 12s = 360s + 4320
s ^ 2 + 12s = 4320
s ^ 2 + 12s - 4320 = 0
We factor the equation:
(s + 72) (s-60) = 0
We take the positive root so that the problem makes physical sense.
s = 60 Km / h
Answer:
The original speed of the train before it was held up is:
s = 60 Km / h
