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V125BC [204]
3 years ago
12

Using the formula a=p(1+r/n)^nt find how long it takes an investment to double if it is invested at 8% interest compounded month

ly
Mathematics
1 answer:
avanturin [10]3 years ago
8 0
2=(1+.08/12)^12t
2=(1.006666666666667)^12t
ln 2=ln (1.00666666666667)^12t=12t ln(1.00666666666667)
104.31826687071655449132631504323=12t
t=8.7 years

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Which equation has a graph that is perpendicular to the graph of -x + 6y = -12?
serious [3.7K]

Answer:

c) 6x + y = -52  is required equation perpendicular to the given equation.

Step-by-step explanation:

If the equation is of the form    : y = mx  + C.

Here m = slope of the equation.

Two equations are said to be perpendicular if the product of their respective slopes is -1.

Here, equation 1 :  -x + 6y = -12

or, 6y = -12  + x

or, y = (x/6)  - 2

⇒Slope of line 1 = (1/6)

Now, for equation 2  to be  perpendicular:

Check for each equation:

a. x + 6y = -67       ⇒  6y = -67  - x

or, y = (-x/6)  - (67/6)      ⇒Slope of line 2 = (-1/6)

but \frac{1}{6} \times \frac{-1}{6}  \neq -1

b. x - 6y = -52   ⇒  -6y = -52  - x

or, y = (x/6)  + (52/6)      ⇒Slope of line 2 = (1/6)

but \frac{1}{6} \times \frac{1}{6}  \neq -1

c. 6x + y = -52    

or, y =y = -52  - 6x      ⇒Slope of line 2 = (-6)

\frac{1}{6} \times (-6)  =  -1

Hence, 6x + y = -52  is required equation 2.

d. 6x - y = 52  ⇒  -y = 52  - 6x

or, y = 6x   - 52      ⇒Slope of line 2 = (6)

but \frac{1}{6} \times 6  \neq -1

Hence,  6x + y = -52  is  the  only required equation .

3 0
3 years ago
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Variance of a continuous random variable X is defined as

\int\limits_D {(x-\mu)^2f(x)} \, dx

Standard deviation is defined as

\sigma =  \sqrt{Var(X)}

Hence standard deviation is the positive square root of variance.

6 0
2 years ago
A student wrotw a variable expression n-5 for the word phrase n less than 5. explain the students error
zheka24 [161]
Less than does mean minus, but when the question says less than some number, that number goes first. should have written 5-n
3 0
3 years ago
The local water slides have 120 employees, of which 70% are temporary. How many permanent employees are there?
Olegator [25]

Answer:

.70/100 ×120 is 84 .which is temporary so to find permanent u subtract 120 from 84 which is 36

Step-by-step explanation:

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2 years ago
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Yuliya22 [10]

Answer:

<h3>Bob walked faster than Ion.</h3>

Step-by-step explanation:

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