Find the exact value under the given conditions.tan ? = 
, ? < ? < 
; cos ? = - 
, 
< ? < ?
Find tan (? + ?).
A. 
B. - 
C. - 
D. 
Answer: C
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Solve.
= 
A. 4
B. 
C. 
D. 17
Find the mode or modes (if any).84, 25, 84, 13, 25, 29, 56, 84
A. 42.5 B. 84 C. 50 D. no mode
Provide an appropriate response.Given ? > 0, find an interval I = (7 - ?, 7), ? > 0, such that if x lies in I, then 
< ?. What limit is being verified and what is its value?
A. 
= 0
B. 
= 0
C. 
= 0
D. 
= 7
The Johnsons have accumulated a nest egg of $25,000 that they intend to use as a down payment toward the purchase of a new house. Because their present gross income has placed them in a relatively high tax bracket, they have decided to invest a minimum of $1,000/month in monthly payments (to take advantage of their tax deductions) toward the purchase of their house. However, because of other financial obligations, their monthly payments should not exceed $1,800. If local mortgage rates are 9.5%/year compounded monthly for a conventional 40-year mortgage, what is the price range of houses that they should consider?
If the Johnsons decide to secure a 20-year mortgage instead of a 40-year mortgage, what is the price range of houses they should consider when the local mortgage rate for this type of loan is 9%? a. The price of houses for 40-yr mortgage lies between $5,461,292 and $9,810,325; for 20-yr mortgage – between $692,887 and $1,227,196. b. The price of houses for 40-yr mortgage lies between $148,447 and $247,205; for 20-yr mortgage – between $136,145 and $225,061. c. The price of houses for 40-yr mortgage lies between $136,145 and $225,061; for 20-yr mortgage – between $148,447 and $247,205.