What is the interest rate of a $510 savings bond that earns $54 in 6 years?
1 answer:
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(a)
The sample space is a set whose elements are all the possible outcomes for the experiment. Since we will extract one of the months of the years, the sample space is the set composed by all the 12 months:
(b)
An event is a subset of the sample space. Events are often defined by their properties. In this example, the event E is the subset of the sample space defined as
So, we have
(c)
If all outcomes have equal probability, then the probability of an event is the ratio bewteen its cardinality, and the cardinality of the whole sample space:
In words, since there are three months beginning with J out of 12 months, we have a probability of 3 over 12 to pick a month starting with J, which simplifies to 1 over 4.
ANSWER
450lb
EXPLANATION
If the weight, m of an object on the moon varies directly as the weight of an object e, on the earth, then we can write the mathematical statement,.
We introduce the constant of proportionality to obtain,
When, m=95, e=570,
This implies that,
The equation now becomes,
We want to find e, when m=2700,
450lb
EXPLANATION
If the weight, m of an object on the moon varies directly as the weight of an object e, on the earth, then we can write the mathematical statement,.
We introduce the constant of proportionality to obtain,
When, m=95, e=570,
This implies that,
The equation now becomes,
We want to find e, when m=2700,