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Answer: 5.5 which is choice B</h3>
Have a look at the diagram I posted below. I marked on your image to add in another angle. This angle is also 20 degrees because of congruent alternate interior angles (horizontal lines are parallel). This angle I add in is the reference angle of the triangle
opposite the reference angle is the vertical side x
adjacent to the reference angle is the horizontal side 15
We'll use the tangent rule. Make sure your calculator is in degree mode.
tan(angle) = opposite/adjacent
tan(20) = x/15
15*tan(20) = x <<-- multiply both sides by 15
x = 15*tan(20)
x = 5.45955 <<--- use calculator; this is approximate
x = 5.5 <<--- round to one decimal place
Answer:
the biconditional is a true statement
Step-by-step explanation:
The absolute value of x is 9 if it's equal to 9.
(If this is wrong I'm sorry I haven't done this kind of math in a while!)
Answer:
I think you meant to put an attachment but I don't see one
Step-by-step explanation:
720 by 600! hope this helps
The compounded interest function that models the situation is:
where
is the final amount of money after
years.
is the initial investment.
is the interest rate in decimal form.
is the number of times the interest is compounded per year.
is the time in years.
We know for our problem that
and
. To convert the interest rate to decimal form, we are going to divide the rate by 100%:
We also know that the interest is compounded anally, so it is compounded 1 time per year; therefore,
.
Lets replace the values in our formula to find the final amount after 8 years:
We can conclude that since we are dealing with compound interest we must use the function
. Also, after 8 years the balance in the account will be $1291.58
