The shortest side of a right triangle measures 13 m. the lengths of the other two sides are consecutive integers. Find the lengt
hs of the other two sides.
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The total amount is $ 1015.82 and interest amount is $ 165.82
<em><u>Solution:</u></em>
<em><u>The formula for amount when interest is compounded annually is:</u></em>
Where,
"A" is the total amount
"P" is the principal
"r" is the rate of interest in decimal form
"n" is the number of years
<em><u>From given, $850 at 2% for 9 years, compounded annually</u></em>
P = 850
t = 9 years
<em><u>Substituting the given values we get,</u></em>
Thus total amount is $ 1015.82
Interest amount = Total amount - principal
Interest amount = 1015.82 - 850
Interest amount = 165.82
Thus total amount earned is $ 1015.82 and interest amount is $ 165.82
You haven't provided a graph or equation so I will tell the simplified meaning of amplitude instead.
Amplitude, is basically a distance from midline/baseline to the maximum or minimum point.
For sine function, can be written as:
- A = amplitude
- b = period = 2π/b
- c = horizontal shift
- d = vertical shift
I am not able to provide an attachment for an easy view but I will try my best!
We know that amplitude or A is a distance from baseline/midline to the max-min point.
Let's see the example of equation:
Refer to the equation above:
- Amplitude = 2
- b = 1 and therefore, period = 2π/1 = 2π
- c = 0
- d = 0
Thus, the baseline or midline is y = 0 or x-axis.
You can also plot the graph on desmos, y = 2sinx and you will see that the sine graph has max points at 2 and min points at = -2. They are amplitude.
So to conclude or say this:
If Amplitude = A from y = Asin(x), then the range of function will always be -A ≤ y ≤ A and have max points at A; min points at -A.