Find the monthly house payment necessary to amortize the following loan. In order to purchase a home, a family borrows $70,000 at 12% compunded monthly for 15 years. What is the monthly payment?

Monthly payment is $840.12

Explanation:

we are given: $70000 which is the present value of the loan Pv

                       12% compounded monthly where the interest rate is adjusted to monthly where i = 12%/12

the period in which the loan will be repaid in 15years which contain 15x12 = 180 monthly payments which is n

we want to solve for C the monthly loan repayments on the formula for present value as we are looking for future periodic payments.

Pv = C[((1- (1+i)^-n)/i] thereafter we substitute the above mentioned values and soolve for C.

$70000= C[((1-(1+(12%/12))^-180))/(12%/12)] then compute the part that multiplies C in brackets and divide by it both sides.

$70000/83.32166399 = C  then you get the monthly loan repayments

C = $840.12 which is the monthly repayments of the $70000 loan.

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among other factors, composers started writing dynamic markings in their scores because "new instruments allowed for more dynamic ranges and contrast."

dynamics allude to the loudness or softness of music. dynamics offer an approach to demonstrate articulation in sheet music. they to drive the enthusiastic substance of music through volume and force. maybe you could alter both the volume and the shading profundity on your screen at the same time. we can likewise think about the force side of elements as the quality of a note. a few notes are intended to be played delicately and gently, while others are intended to be played all the more firmly.  

some dynamics markings have a letter 'm,' which remains for mezzo, signifying 'medium.' so a mezzo piano unique stamping resembles this (mp) and intends to play medium calm, while a mezzo specialty dynamic resembles this (mf) and intends to play medium loud.