Answer:
309
Step-by-step explanation:
The formula for simple interest is
A = P(1 + rt)
where A is the amount of money in the account
P is the principal invested
r is the interest rate in decimal form
t is the time invested in years
We know
P = 300
r = 4% = .04
t = 9 months = 9 months * 1 year/12 months = .75 year
Substituting into the equation
A = 300(1 + .04*.75)
=300 (1+.03)
=300(1.03)
= 309
Step-by-step explanation:
b^2-4b+3=0
b²-3x-b+3=0
b(b-3)-1(b-3)=0
(b-3)(b-1)=0
either
b=3 or b=1
.
2n^2 + 7 = -4n + 5
2n²+4n+7-5=0
2n²+4n+2=0
2(n²+2n+1)=0
(n+1)²=0/2
:.n=-1
.
x - 3x^2 = 5+ 2x - x^2
0=5+ 2x - x^2-x +3x^2
0=5+x+2x²
2x²+x+5=0
comparing above equation with ax²+bx +c we get
a=2
b=1
c=5
x={-b±√(b²-4ac)}/2a ={-1±√(1²-4×2×5)}/2×1
={-1±√-39}/2
9514 1404 393
Answer:
(d) x = 14√3; y = 14
Step-by-step explanation:
The side length ratios in a 30°-60°-90° triangle are 1 : √3 : 2. That is, the short side (y) is half the length of the hypotenuse (28). Only one answer choice matches ...
y = 28/2 = 14
x = y√3 = 14√3
_____
It is a good idea to remember these ratios. They show up in a lot of problems.
Answer:
'
Step-by-step explanation:
Answer:
The morality of the solution is calculated as 0.859 m. We are required to determine the freezing point depression constant of pure water. The freezing point depression of the solution is given as
* (morality of solution)
and
are the freezing points of the pure solvent (water, 0°C) and
= freezing point depression constant of water. Therefore,
*(0.859 m)
=====> (0°C) – (3.00°C) = 
=====> -3.00°C =
Ignore the negative sign (since
is positive) and get
= (3.00°C) / (0.859 m) = 3.492°C/m
The freezing point depression constant of the solvent is 3.5°C kg/mole
3.5 K.kg/mole (temperature differences are the same in Celsius and Kelvin scales).