The Meaning<span> of </span>Slope<span> and </span>y-Intercept. in the Context of Word Problems. In theequation<span> of a straight line (when the </span>equation<span> is written as "</span>y<span> = mx + b"), the </span>slope<span> is the number "m" that is multiplied on the x, and "b" is the </span>y-intercept<span>, where the line crosses the </span>y<span>-axis.</span>
The function for the model that gives the future value of the investment in dollars after t years is: f(t) = 2000.e⁰·°⁴²t
Give, a lump sum of $2000 is invested at 4.2% compounded continuously.
Hence we have:
P = $2000
rate of interest = 4.2%
years = t
we know that A = Pe^rt
Substitute the above values in the formula.
Amount = f(t)
f(t) = 2000.e⁰·°⁴²t
hence we get the function for the model that gives the future value of the investment is f(t) = 2000.e⁰·°⁴²t
Therefore we get the required function.
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Answer:
Rosa. 5a and 5b are not like terms. The letters have to be the same
Answer:
112
Step-by-step explanation:
use substitution method:
make 2 equations:
44 = 2(l+w) l=w+6
plug in l:
44 = 2 (w+6+w)
combine like terms:
44 = 2(2w+6)
distribute:
44 = 4w + 12
get 4w alone:
44 = 4w + 12
-12 -12
__________
32 = 4w
Divide to get w alone :
32 = 4w
__ __
4 4
w=8
plug w in:
l = w + 6
l = 8 + 6
get l alone on one side:
l = 14
plug l and w in an are equation:
14 x 8 = 112
