Answer:
35 years
Step-by-step explanation:
The proportion p that remains after y years is ...
p = (1/2)^(y/5.27)
In order for 1/100 to remain (the level decays from 100 times to 1 times), we have ...
.01 = .5^(y/5.27)
log(0.01) = y/5.27·log(0.5) . . . take logs
y = 5.27·log(0.01)/log(0.5) ≈ 35.01 ≈ 35 . . . . years
Answer:
it is diff because o the parentheses
Step-by-step explanation:
Answer: She would have to burn between 220 and 240 calories per minute to have a calorie burn rate between those of Martin and Paul.
Step-by-step explanation:
Martin:
360 calories / 30 min = 12 calories/min
Paul:
165 calories / 15 min = 11 calories/min
Kara:
Needs to burn between 11 and 12 calories/min, so we'll calculate the range:
11 calories/min x 20 min = 220 calories (minimum # calories she can burn)
12 calories/min x 20 min = 240 calories (maximum # calories she can burn)
Answer:
$11390.30
Step-by-step explanation:
Discount
12916 x 0.15 = 1937.4
Discounted price
12916 - 1937.4 = 10978.6
Tax of 3 and 3/4 percent which I think is 0.0375
10978.6 x 0.0375 = 411.6975
Total
10978.6 + 411.6975 = $11390.2975
<h3>
Answer: 297 square cm</h3>
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Work Shown:
Break up the figure as shown in the diagram below.
A rectangle and trapezoid form
-------------
Area of rectangle = base*height = 9*15 = 135 cm^2
Area of trapezoid = (1/2)*(b1+b2)*h = (1/2)*(18+9)*12 = 162 cm^2
total area = (area of rectangle)+(area of trapezoid)
total area = (135) + (162)
total area = 297 square cm
