Answer:
in 13.95 years the senior class will have 100 students.
Step-by-step explanation:
P(h) = p(0.92)^t (equation for exponential change)
P(h) - population of highschool (or senior class) = 100
p - staring amount = 320
t = time in years
100 = 320(0.92)^t
1/3.2 = .92^t (divide both sides by 320)
log(1/3.2, .92) = t (log base 0.92 of 1/3.2 equals t)
13.9497 = t
Answer: 5/6 ÷ 5/12 = 5/6 x [12]/[5] = [60]/30 =2
Step-by-step explanation:
The key to this is knowing that when you divide anything by a fraction, it is the same as multiplying by the reciprocal of the fraction, or the flipped version. In this case, we are given 5/6 divided by 5/12, which equals 5/6 x12/5. Then you can so normal fraction multiplication to get 60/30, which is 2.
Answer:
a. 37
b. 25
c. 226
Step-by-step explanation:
Place value has the same meaning in any other number base that it has in base 10. Using expanded form is one way to do the required base conversion.
a. 122₅ = 1×5² +2×5¹ +2×5⁰
= 25 +10 +2 = 37
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b. 11001₂ = 1×2⁴ +1×2³ +0×2² +0×2¹ +1×2⁰
= 16 +8 + 1 = 25
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c. 16T₁₂ = 1×12² +6×12¹ +10×12⁰
= 144 +72 +10 = 226
