Answer:
$1719.55, 61.4%
Step-by-step explanation:
Original price of stove: $2,800
Value of stove after 1 year: (1 - 0.15)($2,800), or 0.85($2,800) = $2,380
Value of stove after 2 years: 0.85($2,380) = $1719.55
Find the ratio of this last result to the original price and convert that to a percentage:
$1,719.55
-------------- = 0.614, or approximately 61.4%
$2,800
Answer:
A.
Step-by-step explanation:
Answer:
m∠QPM=43°
Step-by-step explanation:
see the attached figure to better understand the problem
we know that
m∠NPQ=m∠MPN+m∠MPQ
we have
m∠NPQ=(9x-25)°
m∠MPN=(4x+12)°
m∠MPQ=(3x-5)°
substitute the given values and solve for x
(9x-25)°=(4x+12)°+(3x-5)°
(9x-25)°=(7x+7)°
9x-7x=25+7
2x=32
x=16
Find the measure of angle QPM
Remember that
m∠QPM=m∠MPQ
m∠MPQ=(3x-5)°
substitute the value of x
m∠MPQ=(3(16)-5)=43°
therefore
m∠QPM=43°
Here, it helps to find a general expression for the nth term in the
sequence. Since the sequence is arithmetic, the general term is a_n = a +
bn, where b is the common difference. By inspection of the first few
terms we see the common difference is -4. Then by solving a_1 = a - 4x1 =
5, we obtain a = 9, so the nth term is: a_n = 9-4n. We then solve
a_n=-111 for n, so 9-4n=-111. Rearranging, we get 4n=9+111, or 4n=120,
or n=30. Thus there are 30 terms in the sequence.
