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alex41 [277]
3 years ago
7

Time

Mathematics
1 answer:
vlada-n [284]3 years ago
7 0

There is a typo, After 3 year the value should be $494.95

Growth rate = (486.67/400)^1/5   -  1  

                    = 4 %

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If 2x^2+2x=12, what is x?
Rainbow [258]

Answer:

x= 2

x= -3

Step-by-step explanation:

<u>Solving as normal quadratic equation:</u>

  • 2x^2+2x=12
  • x^2 +x = 6
  • x^2 + x - 6= 0
  • x = (-1 ± √(1+4*1*6)/2
  • x = ( - 1 ± √25)/2
  • x = (-1 ± 5)/2
  • x= 2
  • x= -3

<u>Roots are</u> 2 and -3

5 0
4 years ago
Read 2 more answers
Computing growth rates (I): Suppose Xt=(1.04)^t and Yt=(1.02)^tCalculate the growth rate of Zt in each of the following cases:(a
Doss [256]

Answer:

z(t) = (0.9808)^t

z(t) = (1.0196)^t

z(t) = (0.9808)^t

z(t) = (1.03)^t

z(t) = (1.0404)^t

z(t) = (1.0001)^t

Step-by-step explanation:

We are given the following in the question:

x(t)=(1.04)^t\\y(t)t=(1.02)^t

We have to find the growth rate z(t) in each of the following cases:

(a) z = xy

z(t) = x(t)y(t)\\z(t) = (1.04)^t.(1.02)^t\\z(t) = (1.04\times 1.02)^t\\z(t) = (1.0608)^t

(b) z=x/y

z(t) =\displaystyle\frac{x(t)}{y(t)}\\\\z(t) = \frac{(1.04)^t}{(1.02)^t} = \bigg(\frac{1.04}{1.02}\bigg)^t\\\\z(t) = (1.0196)^t

(c) z=y/x

z(t) =\displaystyle\frac{y(t)}{x(t)}\\\\z(t) = \frac{(1.02)^t}{(1.04)^t} = \bigg(\frac{1.02}{1.04}\bigg)^t\\\\z(t) = (0.9808)^t

(d) z=x^(1/2) y^(1/2)

z(t) = (x(t))^{\frac{1}{2}}(y(t))^{\frac{1}{2}}\\z(t) = ((1.04)^t)^\frac{1}{2} ((1.02)^t)^\frac{1}{2}\\z(t) = (1.0608)^{\frac{t}{2}}\\z(t) = (1.03)^t

(e) z=(x/y)^2

z(t) =\bigg(\displaystyle\frac{x(t)}{y(t)}\bigg)^2\\\\z(t) =\bigg( \frac{(1.04)^t}{(1.02)^t}\bigg)^2 = \bigg(\frac{1.04}{1.02}\bigg)^{2t}\\\\z(t) = (1.0404)^t

(f) z=x^(-1/3)y^(2/3)

z(t) = (x(t))^{\frac{-1}{3}}(y(t))^{\frac{2}{3}}\\z(t) = ((1.04)^t)^{\frac{-1}{3}}((1.02)^t)^{\frac{2}{3}}\\z(t) = ((1.04)^{\frac{-1}{3}})^t((1.02)^{\frac{2}{3}})^t\\z(t) = (1.04^{\frac{-1}{3}}\times 1.02^{\frac{2}{3}})^t\\z(t) = (1.0001)^t

5 0
3 years ago
Which figure is a quadrilateral? A triangle. A rectangle. A circle. A line.
Nostrana [21]
It’s A. An quadrilateral has four sides and four angles.
4 0
3 years ago
What percentage of the individuals rode the Ferris wheel and did not ride the roller coaster?
Ilia_Sergeevich [38]

Answer:

B and D

Step-by-step explanation:

they both make srnse to me

8 0
3 years ago
2x+7=16<br> as a improper fraction simplified
lara31 [8.8K]

Answer:

9/2 or 4.5

Step-by-step explanation:

8 0
3 years ago
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