Answer:
The amount of water must be added to this task = 60 
Step-by-step explanation:
Let amount of water added = x
Then from the given conditions
A chemist would like to dilute a 90-cc solution that is 5% acid to one that is 3% acid. So
90 (0.05) = 0.03 ( 90 + x )
4.5 = 2.7 + 0.03 x
0.03 x = 1.8
x = 60
Therefore the amount of water must be added to this task = 60
We know the equation of a line is y=mx+b. We know the slope (m) is -2 and all we need is the intercept (b).
Since we know one point, we can plug in 6 for x and 3 for y (along with -2 for m) in our equation and then solve for b.
3= -2*6 + b
3= -12 + b
15 = b
Since we now know the intercept we can now write our equation:
y= -2x + 15
9514 1404 393
Answer:
(x +yi)²
Step-by-step explanation:
Comparing the given expression to the square of a binomial, we can determine the given expression to be a square.
(a +b)² = a² +2ab +b²
Here, we have a=x and b=yi. Then the factorization is ...
x² +2xyi +(yi)² = (x +yi)²
Answer:
The investment at the end of the period will be $584.89.
Step-by-step explanation:
FV = PV e⁽ⁿˣ⁾
FV = Future Value = ?
PV = Present Value = $396
n = Interest Rate = 13%
x = time in years = 3
e = mathematical constant = 2.7183
FV = 396 x 2.7183⁽⁰°¹³ ˣ ³⁾
FV = 396 x 1.4770
FV = $584.89
Answer:
Step-by-step explanation:
Take the natural logarithm of both sides of the equation to remove the variable from the exponent.
ln
(
6
x
)
=
ln
(
66
)
Expand
ln
(
6
x
)
by moving
x
outside the logarithm.
x
ln
(
6
)
=
ln
(
66
)
Divide each term by
ln
(
6
)
and simplify.
Tap for more steps...
x
=
ln
(
66
)
ln
(
6
)
The result can be shown in multiple forms.
Exact Form:
x
=
ln
(
66
)
ln
(
6
)
Decimal Form:
x
=
2.33829083
…
