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Answer
Exponential function is in the form of : .....[1]
where a is the initial amount and r is the growth rate and (1+r) is the growth factor.
Given the function:
On comparing with equation [1] we have;
Initial amount(a) = 12
1+r = 1.05
Subtract 1 from both sides we get;
or 5%
Growth (r) = 0.05 or 5%
Now, evaluate the function for t = 5 we have;
Substitute the value of t=5 in the given function we have;
Therefore, the value of function when t=5 to the nearest tenth is 15.3
Answer:
Step-by-step explanation:
We get to use the simple version of the half life equation:
where N is the amount of radioactive element left after a specific number of years,
N0 is the initial amount of the element,
t is the number of years (our unknown), and
H is the Half life of the element. For us,
N is 61
N0 is 70,
t is unknown,
H is 24 years. Filling in:
. We begin by dividing both sides by 70 to get:
and then take the natural log of both sides:
which allows us to bring down the exponent to the front on the right side:
. We divide both sides by ln(.5) to get:
and then multiply both sides by 24 to get:
t = 4.8 years
Answer: To compute the density of a spherical object, you must weigh it. Then you divide its mass by its volume to get its density. Keep in mind that an object's density has nothing to do with its size.
Step-by-step explanation:
1. σ is the density of the sphere.
2. M is the mass of the sphere.
3. r is the radius of the sphere.
Answer:
Step-by-step explanation:
Hope I helped!
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