Answer:
x y
-2 0.111
-1 0.333
0 1
1 3
2 9
Step-by-step explanation:
The Newton`s law of cooling:
T = R + ( To - R ) * e ^(-kt )
We know that: T = 32° F ( the water freezes at 32° F ), To = 55° F, R = 5° F
and the cooling rate is: k = 0.012.
33° F = 5° F + ( 55° F - 5° F ) · 2.72^(-0.012 t )
33 - 5 = 50 · 2.72^(-0.012 t)
27 = 50 · 2.72^(-0.012 t)
2.72^(-0.012 t) = 27/50
1 / 2.72^(0.012 t) = 0.54
2.72^( 0.012 t ) = 1 : 0.54 = 1.85
0.012 t = log(base e) 1.85 = ln 1.85 = 0.6
t = 0.6 : 0.012 = 50
Answer: It would take 50 minutes.
21000=a+b
ax.075xt=6xbx.04xt
t cancels out
a=3.2b
21000= 3.2b+b
21000=4.2b
b=5000
a=16000
account with 7.5% had 16000 invested in it.
account with 4% had 5000 invested in it
Answer:
10=10
Step-by-step explanation:
y-3x+15=10
y=3x-15+10
y=3x-5
subtitute y=3x-5 in the above equation:
3x-5-3x+15=10 (3x will be eliminated with -3x)
-5+15=10
10=10
(i hope this is the way you want the answer but at least I think it is correct)
