Given that DB ? AC and B is the midpoint of AC; prove that ?ABD ? ?CBD.
(Outline) DB ? AC, ?ABD and ?CBD are right triangles, and B the midpoint of AC. Thus,
AB? BC . DB ? DB. So ?ABD ??CBD by LL.
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Solve the problem.Jose is going to invest up to $24,000 in a savings account, bonds, or both. He wants to invest from $2000 to $11,000 in the savings account at 
interest. The bonds will be insured up to 
so Jose doesn't want to invest more than that amount in bonds which will earn 
What will be the maximum amount of interest that Jose could earn?
A. $1125 B. $1155 C. $1320 D. $1200
Find the exact value by using a half-angle identity.sin 
A. 
B. - 
C. - 
D. 
Find all values of ? in [-4?, 4?] satisfying each of the following equations. tan ? = -1
A. ? = - 
, - 
, 
, 
B. ? = - 
, - 
, - 
, - 
, 
, 
, 
, 
C. ? = - 
, - 
, - 
, - 
, 
, 
, 
, 
D. ? = - 
, - 
, 
, 
The capitalized cost c of an asset is computed by the formula c = c0 + 
,where c0 is the initial cost of the asset, L is the lifetime (in years), r is the interest rate (compounded continuously), and m(t) is the annual cost of maintenance. Find the capitalized cost under the given assumptions.c0 = $400,000, r = 5%, m(t) = 50,000 + 2000e0.01t, L = 40
A. $1,344,569.89 B. $1,244,569.89 C. $1,384,569.89 D. $1,304,569.89