Answer:
It'll take 38.3 years to obtain the desired return of $25,000.
Step-by-step explanation:
In order to solve a continuosly coumponded interest question we need to apply the correct formula that is given bellow:
M = C*e^(r*t)
Where M is the final value, C is the initial value, r is the interest rate and t is the time at which the money was applied. Since he wants an return of $25,000 his final value must be the sum of the initial value with the desired return. So we have:
(25000 + 8000) = 8000*e^(0.037*t)
33000 = 8000*e^(0.037*t)
e^(0.037*t) = 33000/8000
e^(0.037*t) = 4.125
ln[e^(0.037*t)] = ln(4.125)
t = ln(4.125)/(0.037)
t = 1.4171/0.037 = 38.2991
t = 38.3 years
Answer:
I'm 99% sure it's infinite solutions
Answer:
rational numbers are numbers that can be written as the ratio of two integers
Is that supposed to be : y = -x^3 ??
<span>i have the same question </span>
<span>yes it is </span>
<span>so when you write x2 you mean x^2 and 2x is 2^x also ? </span>
<span>is it an exponent
sorry, need ponts
</span>
Answer:
g(x) = (1/2)x + 3
f(x) = g(x) at (-1/2 , 13/4)
Step-by-step explanation:
g(x) and f(x) will have exactly one solution when they are not parallel (same slope) and when they are not equivalent functions (like doubling or halving all terms).
f(x) = (-5/2)x - 3
g(x) = (1/2)x + 3 <= choose an easy equation.
To find the solution, equate the two functions:
f(x) = g(x)
(-5/2)x - 3 = (1/2)x + 3
(-5/2)x - (1/2)x = 3 + 3 <= move variables to one side, constants to other
(-6/2)x = 6 <= simplify
x = 6 / (-6/2) <=isolate x
x = -6/12
x = -1/2
Substitute x = -1/2 into any equation to find y
g(x) = (1/2)x + 3
g(1/2) = (1/2)(1/2) + 3
g(1/2) = (1/4) + 3
g(1/2) = (1/4) + (12/4) <= find common denominator to add
y = (13/4) <= the function symbol can be replaced by y
The coordinates are (-1/2 , 13/4).
