Answer:
10.7 years
Step-by-step explanation:
The decay equation can be written as ...
remaining = initial × (1/2)^(t/(half-life))
Filling in the given values, we can solve for t.
0.100 = 1.35 × (1/2)^(t/2.86)
0.100/1.35 = (1/2)^(t/2.86) divide by 1.35
Taking logs transforms this to a linear equation:
log(0.100/1.35) = (t/2.86)log(1/2)
Since log(a/b) = -log(b/a), we can multiply both sides by -1 and simplify the logs a bit.
log(1.35/.1) = t·(log(2)/2.86)
2.86·log(13.5)/log(2) = t ≈ 10.7 . . . . years
The decay time is about 10.7 years.
Answer:
A) x= -9
B) x=5
C) x=5
D) x=5
Step-by-step explanation:
Answer: Every year, the value of an antique vase appreciates by 20% of its value in the previous year. If the value of the vase was $180 000 in 2012, its value in 2010 was $125000
Step-by-step explanation:
Given the appreciation rate r, the initial value I, the final value V, and the period of appreciation n, the formula for appreciation is given by:
V = I(1 + r)ⁿ
In our case, we need to work out the value of n.
We do this as follows:
n =2012 - 2010 = 2 years
Substituting the values we have:
180000 = I(1.20)²
180000 = 1.44I
I = 180000/1.44
= 125000
So, in 2010, the value of the vase was $125000
Answer:
Attribute
Step-by-step explanation:
Attribute is defined as the characteristic or quality of an object. When we qualify statistical data based on attributes, it is referred to as qualitative classification of data.
Example of attributes are religion, educational level, gender, color of hair,etc. A change in attribute can only be expressed qualitatively.
Answer:
32.1
Step-by-step explanation:
To find the average, take the sum and divide by the number of numbers
1862.338 / 58
32.10927586
Round to the nearest tenth
32.1
