We are looking down at a film at 90 deg, and a shining orange light with a wavelength(vacuum) of 710 nm is on the film. It has a refractive index of n = 1.32, and is surrounded by air.

A) draw out a diagram with refractive indices of the surfaces

B) What is the minimum thickness of the film for it to look bright due to reflected light?

Pls show steps and whatever else you can show to understand the question, thanks!

I recently bought a new house for $200,000. There was a 20% down payment, and the rest was financed at 4.8 percent APR with monthly compounding. Monthly payments starting from next month will be $1,248.66. How many years will it take the firm to pay off this debt?

You are ready to buy a house, and you have $25,000 for a down payment and closing costs. Closing costs are estimated to be 4% of the loan value. You have an annual salary of $48,000 (monthly income $4000) , and the bank is willing to allow your monthly mortgage payment to be equal to 25% of your monthly income. The interest rate on the loan is 7.2% per year with monthly compounding (.6% per month) for a 30-year fixed rate loan. How much money will the bank loan you? How much can you offer for the house?

Scientific Method

On a walk down to the beach, you observed that the plants change as you get closer to the sea and finally no plants grow when you get to the beach itself. You also observed that there are salt crystals in the soil close to the beach, but not farther away from it.

1.      Formulate a valid question based on the observations listed above.

2.      State a proper scientific hypothesis based on your observations and the question you asked above.

3.      How are you going to test your hypothesis?

4.      What would be the control in your experiment?

5.      What are the variables in your experiment?

The independent variable:

The dependent variable:

6.      What do you think your conclusion would be?

1. You are ready to buy a house and you have $50,000 for a down payment and closing costs. Closing costs are estimated to be 2.5% of the loan value.   You have an annual salary of $200,000. The bank is willing to allow your housing costs – mortgage, property tax and homeowners insurance to be equal to 28% of your monthly income. You have estimated that property tax will be $1,000/month and homeowner’s insurance will be $100/month. The interest rate on the loan is 3.4% per year with monthly compounding for a 30-year fixed rate loan.
   1. How much money will the bank loan you?
   2. How much can you offer for the house?
   3. Create a loan amortization table in Excel and submit the spreadsheet. This should be done with monthly payments.

A box slides down a plank of length d that makes an angle of θ with the horizontal as shown. μ_k is the kinetic coefficient of friction and μ_s is the static coefficient of friction.

a) Enter an expression for the minimum angle θ (in degrees) the box will begin to slide.

b) Enter an expression for the nonconservative work done by kinetic friction as the block slides down the plank. Assume the box starts from rest and θ is large enough that it will move down the plank.  

c)

he purchase of a building with a cash down payment and a written promise to pay the balance in the future would include​ a:

A.

debit to Cash and a credit to Buildings

B.

debit to Cash and a debit to Note Payable

C.

debit to Note Payable and a credit to Cash

D.

credit to Cash and a credit to Note Payable

In order to buy a new car, you finance $23,000 with no down payment for a term of five years at an APR of 6%. After you have the car for one year, you are in an accident. No one is injured, but the car is totaled. The insurance company says that before the accident, the value of the car had decreased by 25% over the time you owned it, and the company pays you that depreciated amount after subtracting your $500 deductible. How much equity have you built up after one year? Suggestion: Use the following formula for the equity built up after k monthly payments. (Round your answer to the nearest cent.) Equity = Amount borrowed × ((1 + r)k − 1) ((1 + r)t − 1)

. Which option is better for your purchase of a $230,000 home with a 18% down payment: A) Interest rate of 9.5% with a 15 year mortgage or B) Interest rate of 5.5% with a 30 year mortgage?
*****To answer which is "better" you must address which option has a lower monthly payment, *AND* which option will cost you more interest by the end of the loan. *****

Using the simple interest formula, for *both options above*, calculate the interest (I) you will be paying as a part of your FIRST monthly payment. (**Ask yourself: What is P? r? t? for the first month)

*For both options*: After calculating what your monthly payment would be AND what the interest of your first payment would be, figure out how much of that monthly payment is going to your principal. (**Ask yourself: What is the TOTAL monthly payment? How much of that is interest? So what is left?)
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PART F

It is the end of December and the actual cash amount is down 53% on the original projection. A large contributing factor is that income targets have not been met and the food and beverage budgets have been over spent by 20%. Betsy has asked you to come up with recommendations to solve the income problem, forecast for the remaining six months of the financial year and communicate the new targets and the importance of meeting budgets to the cook.

The good news is that you have heard through the grapevine that there are a number of events happening in the region in the last half of the year. These are weekday tourism events and there are a number of big construction projects where employees drive-in and drive-out for shifts Monday to Friday.

1. What sources of information might you need to set realistic projections for the rest of the year, including finding out more information about what is coming up in the region? Make a list of at least four people or places you could seek information from.

2. Identify at least three solutions for the income slump. The solutions should concentrate on increasing income and revenue rather than on reducing expenses.

3. Write a memo or email to Betsy and the Cook at the B&B outlining the answers to the above questions and including a discussion aimed at the cook about the importance of meeting budget restrictions, what the cook should do if they are having trouble meeting the budget or find it challenging keeping relationships with suppliers. Submit your memo to your assessor in the role of Betsy.