Determine which postulate or theorem can be used to prove that triangle REM Is congruent to triangle DME
2 answers:
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For 
to be continuous at 
, you need to have the limit from either side as 
to be the same.
If
and 
, then the limit from the right would be 
, so the answer to part (1) is no, the function would not be continuous under those conditions.
This basically answers part (2). For the function to be continuous, you need to satisfy the relation
.
Part (c) is done similarly to part (1). This time, you need to limits from either side as
to match. You have
So,
and 
have to satisfy the relation 
, or 
.
Part (4) is done by solving the system of equations above for and . I'll leave that to you, as well as part (5) since that's just drawing your findings.
If
This basically answers part (2). For the function to be continuous, you need to satisfy the relation
Part (c) is done similarly to part (1). This time, you need to limits from either side as
So,
Part (4) is done by solving the system of equations above for
Answer:
$2159.07
Step-by-step explanation:
The compound interest formula is used to find the balance for the $1000 investment:
A = P(1 +r/n)^(nt)
A = 1000(1 +.012/12)^(12·10) = 1000·1.001^120 ≈ 1127.43
__
For a 2% loss, the multiplier of the investment value is 1-.02 = 0.98. The value of the first $500 investment is ...
A = 500(1 -.02) = 490.00
__
The continuous compounding formula is used for the second $500 investment.
A = Pe^(rt)
A = 500e^(.008·10) = 500e^.08 = 541.64
__
The total value of Albert's investments is ...
$1127.43 +490 +541.64 = $2159.07
