Georges age increased by 15 is 7 less than 3 times age how old is george
1 answer:
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To solve this we are going to use formula for the future value of an ordinary annuity: ![FV=P[ \frac{(1+ \frac{r}{n} )^{nt} -1}{ \frac{r}{n} } ]](https://tex.z-dn.net/?f=FV%3DP%5B%20%5Cfrac%7B%281%2B%20%5Cfrac%7Br%7D%7Bn%7D%20%29%5E%7Bnt%7D%20-1%7D%7B%20%5Cfrac%7Br%7D%7Bn%7D%20%7D%20%5D)
where
is the future value
is the periodic payment
is the interest rate in decimal form
is the number of times the interest is compounded per year
is the number of years
We know from our problem that the periodic payment is $50 and the number of years is 3, so
and 
. To convert the interest rate to decimal form, we are going to divide the rate by 100%
Since the interest is compounded monthly, it is compounded 12 times per year; therefore,
.
Lets replace the values in our formula:
![FV=50[ \frac{(1+ \frac{0.04}{12} )^{(12)(3)} -1}{ \frac{0.04}{12} } ]](https://tex.z-dn.net/?f=FV%3D50%5B%20%5Cfrac%7B%281%2B%20%5Cfrac%7B0.04%7D%7B12%7D%20%29%5E%7B%2812%29%283%29%7D%20-1%7D%7B%20%5Cfrac%7B0.04%7D%7B12%7D%20%7D%20%5D)
We can conclude that after 3 years you will have $1909.08 in your account.
where
We know from our problem that the periodic payment is $50 and the number of years is 3, so
Since the interest is compounded monthly, it is compounded 12 times per year; therefore,
Lets replace the values in our formula:
We can conclude that after 3 years you will have $1909.08 in your account.
It is approximately -.4048
H=10^(-pH)
log H = -pH
pH=-logH => so it is affirmed that it is -.40
H=10^(-pH)
log H = -pH
pH=-logH => so it is affirmed that it is -.40
Evidence are simply facts to support a claim, while counterexamples are instances to show the contradictions in a claim
<em>The question is incomplete, as the required drop-down menus are missing. So, I will give a general explanation</em>
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To show that a statement is true, you need evidence.
Take for instance:
The evidence that the above proof is true is by taking the <em>squares of both sides of </em>
However, a counterexample does not need a proof per se.
What a counterexample needs is just an instance or example, to show that:
An instance to prove that: is false is:
Hence, the complete statement could be:
<em>In a direct proof, evidence is used to support a proof . On the other hand, a counterexample is a single example that shows that a proof is false.</em>
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Read more about evidence and counterexample at: