Answer:
C
Step-by-step explanation:
So we have the function:
To find the inverse, switch h(x) and x, change h(x) to h⁻¹(x), and solve for it. Thus: "
So, take the natural log (log to base e) of both sides:
The right side will cancel:
Divide both sides by 2:
And we're done!
Our answer is C
Note:
Often, variability is most usefully expressed in the same units as the original data. That's what <em>standard deviation</em> (square root of variance) does. In situations where that is the case, the variance is useful only for getting to the value of standard deviation.
Answer:
<em>A= 1256</em>
Step-by-step explanation:
<u>The formula for area of a circle is </u>
1. Diameter is DOUBLE of radius, so the diameter must be divided by 2. <em>40/2 = 20. </em>
<em>2. </em>Then, plug in the values into the area formula. <em>A= 3.14</em>
3. Solve.<em> A= 1256</em>. (Remember that 20 squared is <em>20x20</em>)
Answer: The total interest paid on the mortgage is $179550
Step-by-step explanation:
The initial cost of the property is $300000. If he deposits $30000, the remaining amount would be
300000 - 30000 = $270000
Since the remaining amount was compounded, we would apply the formula for determining compound interest which is expressed as
A = P(1+r/n)^nt
Where
A = total amount in the account at the end of t years
r represents the interest rate.
n represents the periodic interval at which it was compounded.
P represents the principal or initial amount deposited
From the information given,
P = 270000
r = 2% = 2/100 = 0.02
n = 12 because it was compounded 12 times in a year.
t = 25 years
Therefore,
A = 270000(1+0.02/12)^12 × 25
A = 270000(1+0.0017)^300
A = 270000(1.0017)^300
A = $449550
The total interest paid on the mortgage is
449550 - 270000 = $179550
Answer:
56
Step-by-step explanation:
11*4=44
6*2=12
44+12=56
