Given that the house representation is given by 1/44"=1', then the house who dimension is 1.5" by 2.25" has an actual length of:
(2.25)/(1/4)*1
=2.25*4
=9'
and actual width of:
(1.5)/(1/4)*1
=1.5*4
=6'
therefore the size of the room will be:
Area=length*width
=9*6
=36 square inches
Answer:
Step-by-step explanation:
Given:
1/2(ln(xx + yy) − ln(zz))
Now,
From the properties of log function,
1) n × ln(x) = ln(xⁿ)
and,
2) ln(A) - ln(B) = 
applying the properties in the given equation
we get the above equation as:
( using the property 2 we get (ln(xx + yy) − ln(zz) = 
or
⇒ ( using the property 1 i.e n × ln(x) = ln(xⁿ) )
expression as an equivalent expression with a single logarithm is
Answer:
D
Step-by-step explanation:
The answer is 41, because I just took the quiz and that was the correct answer :)
If the amount of money you invested in the first fund is x and the second fund y, then 9% (or 0.09 by moving the decimal 2 spots)*x+0.03*y=1047 since the first fund paid 9% and the second 3%. In addition, for this year, we get
0.1*x+0.01*y=811.
We also have 0.09*x+0.03*y=1047, so we can multiply the top equation by -3 and add it to the second to get -0.21x=-1386. Dividing both sides by -0.21, we get x=6600. In addition, since 0.1*x+0.01*y=811, we can plug 6600 in for x to get 660+0.01*y=811 and by subtracting 660 from both sides we get 0.01*y=151. Multiplying both sides by 100 (since 0.01*100=1), we get y=15100
