Complete the square:
That is, the graph of is a parabola with vertex at
, meaning the ball reaches its maximum height of
after
of being thrown.
Volcanic activity occuring where an oceanic plate is subducting under another plate involves explosive cinder cones and/or compo
1 answer:
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Answer:
18107.32
Step-by-step explanation:
Set up the exponential function in the form:
so P is the new population, is the original population, R is the rate of increase in population, and t is the time in years.
You have to use the information given to find the rate that the population is increasing and then use that rate to find the new population after more time passes.
Now that you found the rate, you can use the function to find the population after another 3 years.
So the population is 18107, rounded to the nearest whole number.
Answer:
$14,500
Step-by-step explanation:
There is a lot of information that is extraneous to answering this question (although it may be useful for answering later questions, as it looks like this is a multi-part question).
This question simply requests "Calculate the down-payment for the 30-year fixed mortgage."
So, we're focusing on <u>the down-payment on the 30-year mortgage</u>.
The paragraph immediately above the question states "Suppose <u>you decide to make a down-payment of 5% of the purchase price</u> for the 30-year fixed mortgage..." ... there's other information, but it's about mortgages that aren't 30-year mortgages, so we can safely ignore it.
The first paragraph in the picture shows information about a standard down payment (20%), and what happens if you decide to choose a down-payment that is less than standard (that's us... we chose 5% ... so let's pay attention closely here).
The information states that "...lenders charge extra... PMI that is <u>added to the monthly payment</u>." Note, that extra charge (PMI) is added to the monthly payment, not the down-payment. So, this information about PMI doesn't apply to the question in part (a).
So, for this question, the down payment is simply 5% of the purchase price.
Percentages can be interpreted as the # of parts out of 100, so in this case 5 out of 100, which is just another way of saying . Fractions, in turn, can be turned into decimal numbers simply by dividing the two, which gives 0.05. Many people interpret this simply as moving the decimal place on the percentage two digits to the left. In short, 5% = 0.05.
To find 5% of the purchase price, we simply multiply it to the purchase price, but we choose a form that is more conducive to doing the arithmetic, so either the fraction 5/100, or the decimal 0.05 <em>(usually the decimal)</em>.
Given a purchase price of $290,000, 5% of $290,000 is