210- 30= 180 which is what she has left to pay after the down payment.
15x12= 180
So, if Adela pays 15 dollars a week it would take her 12 weeks to complete her layaway.
Hope this helped!
<span>Answer:
17576=pir^2h
the amount of material M=2pir^2 +2pirh
M=2pir^2+2pir(17576/pir^2)
DrM= 4pir- 35152/r^2
DrM=0
0=4pir- 35152/r^2
r=(13*2^(2/3))/pi^(1/3)
17576=pi((13*2^(2/3))/pi^(1/3))^2)h
17576/(pi((13*2^(2/3))/pi^(1/3))^2))=h
r=14.0901
h=28.1801
M=3742.21 cm^2</span>
<em><u>The explicit equation for the nth term of the geometric sequence 3584, 896, 224 is:</u></em>
<em><u>Solution:</u></em>
Given that we have to find the explicit equation for nth term of geometric sequence
<em><u>Given sequence is:</u></em>
3584, 896, 224
A geometric sequence has a common ratio
Let us find the common ratio. Divide each term by the previous term.
Thus the common ratio is 0.25
<em><u>The formula for nth term of geometric sequence is given as:</u></em>
Where,
is the nth term of sequence
a is the first term of sequence
r is the common ratio
Here in given sequence 3584, 896, 224
first term = a = 3584
common ratio = r = 0.25
Therefore,
"n" is a natural positive number greater than or equal to 1
Thus the explicit equation to find nth term is found
Step-by-step explanation:
x = number of true/false questions
y = number of multiple choice questions
x + y = 40
2x + 3y = 144
from the first equation we get
x = -y + 40
this identity we can then use in the second equation
2(-y + 40) + 3y = 144
-2y + 80 + 3y = 144
y + 80 = 144
y = 64
and
x + 64 = 40
x = -24
that does not make any sense.
something is wrong with the problem description.
just think about it :
40 questions - if all of them would be multiple choice tests (creating the max. possible points for 40 questions), we could have only 40×3 = 120 points.
but the description says 144 points.
for 144 points we need at least 48 (144/3) questions.
that does not fit.
the described system does not have any natural number solution. therefore we are getting such crazy numbers as result, when we try.