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3 years ago

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:

Solving as normal quadratic equation:

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

Roots are 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 as a improper fraction simplified

lara31 [8.8K]

Answer:

9/2 or 4.5

Step-by-step explanation:

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3 years ago