Step-by-step explanation:
3(5x - 4) = 2(7x)
=> 15x - 12 = 14x
=> x = 12
<em>By the options given, I would say none of the options are correct!</em>
Answer:
The value will be $1,411.20
Step-by-step explanation:
What we do here is to set up an exponential equation to calculate the value.
Mathematically it will look like this;
V = I(1-r)^n
where V is the future value
I is the initial amount = 24,600
r is rate of decrease = 13.75% = 13.75/100 = 0.1375
n is the number of years = 15 years
substituting these values, we have
V = 24,600(1-0.1375)^15
V = 24600(0.8625)^15
V = 1,411.165582454129
= $1,411.20
To calculate the remaining caffeine, we use the radioactive decay formula which is expressed as An = Aoe^-kt where An is the amount left after t time, Ao is the initial amount and k is a constant we can calculate from the half-life information. We do as follows:
at half-life,
ln 1/2 = -k(6)
k = 0.12/hr
An = 80e^-0.12(14)
An = 15.87 mg
Answer:
(5 x (-20)) * (100 x (0.7))
The linear equation (y = mx + b) for this particular line is d = 0.6t
it's the same as finding the equation for any line except they use d instead of y and t instead of x. The slope m is 0.6 and intercept is zero.
