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dimaraw [331]
3 years ago
11

Factor the expression. K^2-16h^2

Mathematics
1 answer:
Tresset [83]3 years ago
8 0

Step-by-step explanation:

{k}^{2}  - 16 {h}^{2}  \\  \\  =  {k}^{2}  - (4 {h})^{2}   \\  \\  = (k + 4h)(k  - 4h)

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Park city Utah gets 43.8inches of rain per year. Usually 45% of that amount falls in November. How much rain falls in those mont
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43.8 = 100%
43.8/100 = 0.438 = 1%
0.438 x 45 = 19.71 = 45%
19.71 inches of rain falls in November.
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How long will it take for an investment to triple if it is compounded continuously at 12%
myrzilka [38]

Answer:

9.694 years

Step-by-step explanation:

Let the investment is $P.

So, we are asked to determine the time it will grow to triple with the compound interest rate of 12%.

Let the time is y years.

So, from the formula of compound interest we can write

3P = P(1 + \frac{12}{100} )^{y}

⇒ (1 + \frac{12}{100} )^{y} = 3

⇒ (1.12)^{y} = 3

Now, taking log both sides we get,

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Write an explicit formula for the recursive formula <br><br> A(n) = A(n - 1) + 3; A(1) = 6
arsen [322]

Answer:

a_{n} = 3n + 3

Step-by-step explanation:

The sequence is arithmetic with explicit formula

a_{n} = a₁ + (n - 1)d

where a₁ is the first term and d the common difference

From the recursive formula

a₁ = 6 and d = 3 [ the constant being added to A(n - 1) ] , then

a_{n} = 6 + 3(n - 1) = 6 + 3n - 3 = 3n + 3

7 0
2 years ago
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