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nexus9112 [7]
3 years ago
12

Which statement is an example of the transitive property of

Mathematics
1 answer:
Tpy6a [65]3 years ago
4 0
The answer is A BDEF
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What interest rate, to the nearest tenth of a percent, that is required for an investment subject to continuous compounding to i
Sunny_sXe [5.5K]

Answer:

It will take an interest rate of 8.1% to get 150% of the initial investment in just 5 years.

Step-by-step explanation:

Use the formula for continuous compounding

X(t) = Pe^{rt}

where r stands for the (annual) interest rate, t for time in years, P for the initial principal (investment) and X is the amount after t years.

(this formula can be beautifully derived from just basic considerations, btw)

We are given t=5, and percent increase on the initial P, so we can solve for r

X(5) = 1.5P=Pe^{r\cdot5}\\1.5=e^{r\cdot5}\\\ln 1.5=\ln e ^{5r}\\\ln 1.5=5r\\r = \frac{\ln 1.5}{5}=0.081\rightarrow 8.1\%

It will take an interest rate of 8.1% to get 150% of the initial investment in just 5 years.

5 0
3 years ago
In an ordered pair, the y-coordinate tells you how far to move from the origin parallel to the______. X-axis/y-axis​
erastova [34]

Answer:

  y-axis

Step-by-step explanation:

The x-coordinate is the location of a point as measured along the x-axis. The y-coordinate is the location of a point as measured along the y-axis.

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Another way to describe the y-coordinate is that it <em>tells you how far to move from the origin parallel to the </em><em>y-axis</em>.

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2 years ago
Solve the system by the elimination method.
NikAS [45]
     2x+3y-10=0    (1)
+
     4x-3y-2=0       (2)
    ____________
     6x    -12=0      (if you just want the resulting equation. It is 6x-12=0)
               x=2 
take x=2 and put it into equation (2)
4(2) -3y -2=0
-3y= 2-8 
   y= 2
(x=2,y=2)
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3 years ago
What transformation transforms (a, b) to (a, −b) ​?
mash [69]

Answer:

Reflection over the x-axis

Step-by-step explanation:

The transformation rule for a reflection over the x-axis is (x, -y)

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2 years ago
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Divide nine by three then subtract two double the results
IrinaVladis [17]

Answer:

2

Step-by-step explanation:

8 0
3 years ago
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