Find the interest rate for a principal of $6514 and charged $45415 in interest for 15 years.
1 answer:
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Answer:
6) C 1
7) A 3 (im not sure for this one because it's blurry)
8) C 1
Step-by-step explanation:
6) Replace the f(x) for -1 since we are told f(x) = -1. We then need to use the inverse operation to get x by itself.
Since the opposite of division (which is indicated by the fraction line) is multiplication, we need to multiply the number on the left (-1) times 2.
For this step, the opposite of subtraction is addition so in this step, we must add 3 to -2.
7) Can't explain cause I'm not sure if I'm right
8) To find out the slope of two coordinates we must use the following to determine it.
<h3>(IN THE PICTURE ATTACHED)</h3>In this case, the y with the little two will be 4 and the y with the little one is 1. 4-1 is 3 and that's the y cooridnate sorted
For the x coordinate, the x with the little two is 1 and the x with the little one is -2. Thus, we must solve 1-(-2) which also equals 3.
<h3>Since the final coordinates are 3/3 and it simplifies, the final answer is 1.</h3>
Answer:
28.27 cm/s
Step-by-step explanation:
Though Process:
- The punch glass (call it bowl to have a shape in mind) is in the shape of a hemisphere
- the radius
- Punch is being poured into the bowl
- The height at which the punch is increasing in the bowl is
- the exposed area is a circle, (since the bowl is a hemisphere)
- the radius of this circle can be written as
- what is being asked is the rate of change of the exposed area when the height
- the rate of change of exposed area can be written as
.
- since the exposed area is changing with respect to the height of punch. We can use the chain rule:
- and since
the chain rule above can simplified to
-- we can call this Eq(1)
Solution:
the area of the exposed circle is
the rate of change of this area can be, (using chain rule)
we can call this Eq(2)
what we are really concerned about is how changes as the punch is being poured into the bowl i.e
So we need another formula: Using the property of hemispheres and pythagoras theorem, we can use:
and rearrage the formula so that a is the subject:
now we can derivate a with respect to h to get
simplify
we can put this in Eq(1) in place of
and since we know
and now we use substitute this . in Eq(2)
simplify,
This is the rate of change of area, this is being asked in the quesiton!
Finally, we can put our known values:
from the question
