A house that you are interested in has the following facts listed online: Price = $214,000 APR = 1.15% Down Payment must be 9.5% Loan time frame is 35 years What is the amount of the loan you must take out? What monthly price do you have to pay on this house? What is the total price of this house (including interest and the down payment)?

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Step-by-step explanation:

a) The down payment is 9.5% of the price, so is ...

  down = 0.095×$214,000 = $20,330

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b) The amount of the loan is the remaining value after the down payment is made:

  $214,000 -20,330 = $193,670

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c) The monthly payment is given by the amortization formula:

  A = P(r/12)/(1 -(1 +r/12)^(-12t))

payment on Principal P at interest rate r for t years

  A = $193,670(0.0115/12)/(1 -(1 +0.0115/12)^(-12·35)) ≈ $560.35

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d) The total cost of the house is ...

  down + (monthly payment)×(number of months)

  = $20,330 + $560.35×420

  = $255,677

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d. millimeters per hour.

step-by-step explanation:

we are given that,

carlo used a rain gauge to measure the amount of water his lawn is receiving from the sprinklers.

since, according to the options, we see that,

water cannot be measured by 'miles per hour', 'meters per second' and 'grams per seconds'.

we get that, the water can be measured by 'millimeters per hour'.

hence, the appropriate rate for describing the amount of water is 'millimeters per hour'.