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GuDViN [60]
3 years ago
8

According to the rule of 70, how many years will it take an investment that is making 4.5 percent interest to double in size?

Mathematics
1 answer:
emmainna [20.7K]3 years ago
8 0
Actually,I believe it is the rule of 72
72/4.5 = 16 years

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Determine the midpoint between the two points x(4,-6) and y(-2,8)
ikadub [295]

Answer:

p(a, b) = (1, 1)

Step-by-step explanation:

Midpoint formula is

p(a, b)=(\frac{x_1 + x_2}{2}, \frac{y_1 + y_2}{2} ) ---------------(1)

Here

(x_1, y_1) = (4, -6) \ \ \ and \ \ \ (x_2, y_2) = (-2, 8)

Substituting values in equation (1)

p(a, b)=(\frac{4 - 2}{2}, \frac{-6 + 8}{2} )

p(a, b) = (1, 1)

6 0
3 years ago
HELP WITH ONE MATH QUESTION!!! 20 POINTS AND WILL MARK BRAINLIEST
Jobisdone [24]

Answer:

6/h = 10/40

Step-by-step explanation:

6/h = 10/40

8 0
3 years ago
Solve for -2<-3-3x<0
gregori [183]

-3 from all ends to get 1<-3x<3 then divide by -3 on all ends to get -1/3>x>-1 you flip the sign because of the negative,


8 0
3 years ago
Systems with three variables. please help
kirza4 [7]
X= 6
Y= 0
Z= -2

CHECK
3x + y -2z =22
3(6) + 0 -2(-2) =22
18 + 0 +4= 22
22=22

x+5y+z =4
6 +5(0)+ -2 =4
6 + 0 +-2 = 4
4=4

x+3z=0
6 + 3(-2) =0
6 -6 = 0
0=0
3 0
3 years ago
Let X denote the temperature (degree C) and let Y denote thetime in minutes that it takes for the diesel engine on anautomobile
BlackZzzverrR [31]

Answer:

Step-by-step explanation:

Given f_{XY} (x,y) = c(4x + 2y +1) ; 0 < x < 40\,and\, 0 < y

a)

we know that \int\limits^\infty_{-\infty}\int\limits^\infty_{-\infty} {f(x,y)} \, dxdy=1

therefore \int\limits^{40}_{-0}\int\limits^2_{0} {c(4x+2y+1)} \, dxdy=1

on integrating we get

c=(1/6640)

b)

P(X>20, Y>=1)=\int\limits^{40}_{20}\int\limits^2_{1} {\frca{1}{6640}(4x+2y+1)} \, dxdy

on doing the integration we get

                        =0.37349

c)

marginal density of X is

f(x)=\int\limits^2_{0} {\frca{1}{6640}(4x+2y+1)} \, dy

on doing integration we get

f(x)=(4x+3)/3320 ; 0<x<40

marginal density of Y is

f(y)=\int\limits^{40}_{0} {\frca{1}{6640}(4x+2y+1)} \, dx

on doing integration we get

f(y)=\frac{(y+40.5)}{83}

d)

P(01)=\int\limits^{40}_{0}\int\limits^2_{1} {\frca{1}{6640}(4x+2y+1)} \, dxdy

solve the above integration we get the answer

e)

P(X>20, 0

solve the above integration we get the answer

f)

Two variables are said to be independent if there jointprobability density function is equal to the product of theirmarginal density functions.

we know f(x,y)

In the (c) bit we got f(x) and f(y)

f(x,y)cramster-equation-2006112927536330036287f(x).f(y)

therefore X and Y are not independent

4 0
3 years ago
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