Tim will borrow $6200 at 12.5% apr. he will pay it back over 2 years. what will be his monthly payment be? a) $207.39 b) $210.43 c) $290.41 d) $293.32

The correct answer is D) $293.32.

Explanation:
We use the formula P=A/D, where P is the payment amount, A is the amount borrowed, and D is the discount factor.

The discount factor is given by the formula D={[(1+r)^n]-1}/[i(1+i)^n], where i is the monthly interest rate as a decimal number and n is the number of months taken for repayment.

For this problem, we have 12.5%; 12.5%=12.5/100=0.125.
This makes the monthly interest rate, i, 0.125/12=0.01042.
 
The number of months for repayment, n, will be 2*12=24.

Using these we have D={[1+0.01042)^24]-1}/[0.01042(1+0.01042)^24], which gives us D=21.1375.

We plug this in for D in our payment formula.

Additionally, we know that A=6200, since that is what is borrowed: P=6200/21.1375=293.32.

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Answer: question no. 1 -a. yes, the sides are in the ratio 2 : 5.question no. 2 -b. 59°question no. 3 -c. angles x and y are remote interior angles.question no. 4 -d. 90°, 45° and 45°question no. 5 -b. mn and qrstep-by-step explanation: question no. 1 -rs : xu = 3 : 7.5 = 2 : 5rt : x? = 6.4 : 16 = 2 : 5st : u? = 6 : 15 = 2 : 5as the ratios of all sides are equivalent, the triangles must be congruent and the sides must be proportional.therefore, the answer is: a. yes, the sides are in the ratio 2 : 5.question no. 2 -in the second diagram, angle b is the only letter not shown. therefore, the number must be equivalent to angle b.if we substitute the value of angle b as being 22° in the first diagram, we can now use the angle sum of a triangle to obtain the value of angle a.angle sum of a triangle = 180°therefore: let angle a = aa + 99 + 22 = 180a = 180 - 99 - 22a = 59°therefore, the answer is: b. 59°question no. 3 -angles x and y don't share the vertex of the triangle with the exterior angle w. remote interior angles don't share a vertex of a triangle with an exterior angle. this means that angles x and y are remote interior angles.therefore, the answer is: c. angles x and y are remote interior angles.question no. 4 -the sum of all interior angles of a triangle must be equivalent to 180°.90°, 45° and 45° are the only set of angle measures that are equivalent to 180°.therefore, the answer is: d. 90°, 45° and 45°question no. 5 -the only pair of sides stated in the options which are corresponding are mn and qr.therefore, the answer is: b. mn and qr.