Exponential decay is given by the equation
F = P(1 - r)^t
0.5 = 1(1 - 0.092)^t
0.5 = (0.908)^t
log 0.5 = log (0.908)^t
log 0.5 = t * log 0.908
t = (log 0.5)/(log 0.908)
t = 7.18
Answer: 7.2 years
Correct answers are:
1) 1/3 (NOT 3/10). .3 repeating is not 3/10, 3/10 is .3.
2) 1/8. To solve, .125 has three places, so use 1000. 1000/125 is 8, that is your denominator. 125/125 is 1 is your numerator.
3) 1/6 (divide 100/16, which is 6 ¼ - round to 6. If you carry this out to 1,000,000/166,667, it is very close to 6.
4) 1/10
5) 2/3 (NOT 3/5)
6) 1/5 (2/10 reduced to 1/5)
7) 3/4 (75/100 reduced)
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Answer: D. 94.25 in²
Step-by-step explanation:
To find the total area, we will break the shape up into two different parts.
[] The rounded part is 39.25 in². Let us assume the rounded part is exactly half of a circle.
Area of a circle:
A = πr²
Use 3.14 for pi:
A = (3.14)r²
Find the radius:
d / 2 = r, 10 / 2 = 5 in
Subsittue:
A = (3.14)(5)²
A = 78.5 in²
Divide by 2 since it is only half:
78.5 in² / 2 = 39.25 in²
[] The triangle is 55 in².
Area of a triangle:
A = b*h/2
A = 11 * 10 / 2
A = 110 / 2
A = 55 in²
[] Total area. We will add the two parts together.
55 in² + 39.25 in² = 94.25 in²
Answer:
3.59
Step-by-step explanation:
-×-=+
-2.31+5.9
=3.59
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