Answer:
Step-by-step explanation:
∠ABD is the sum of the angles ∠ABC and ∠CBD. In other words:
Substitute in known values:
And subtract. Hence:
In conclusion, ∠ABC measures 34°.
For part A, if P is the center of that triangle, then PR and PT have the same length; therefore, triangle RPT is isosceles. For part B, by the definition of an incenter...if P is an incenter, then it is the place where all the angle bisectors meet. Therefore, angles SRP and PRT are congruent, as are angles STP and PTR. Since the vertex angle measures 64, then each of the base angles by the isosceles triangle theorem measure 58. Half of 58 makes the base angles within the smaller triangle measure 29. And if both of those measure 29, by the triangle angle-sum theorem, 180-29-29 = 122 And that's the measure of angle RPT. Eek.
Since only the principal value, interest rate and interest period are given, we can deduce that "finance charge" only includes the interest to be paid at the end of the term. This can be obtained by subtracting the principal value from the future value which we will solve for.
The future value can be solved by using the following compound interest formula:
Let:
F = Future value
P = Principal value
r<span> = annual interest rate </span>
n<span> = number of times that interest is compounded per year</span>
t<span> = number of years</span>
F = P(1 + r/n)^nt
Substituting the given values:
F = 4250(1 + 0.1325/12)^(12*2)
F = 5531.54
Subtracting P from F:
Finance charge = 5531.54 - 4250 = 1281.54
Therefore the finance charge is $1,281.54
will be the function to calculate population every half year.
Further explanation:
The given formula is:
In the given formula, x represents the amount of time in years. So, in order to convert the given function for yearly calculation of population, to find the population every half year the time will be converted into half. This means that instead of x, x/2 will be used.
So the new function will be:
Keywords: Population growth, Population growth function
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