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dezoksy [38]
3 years ago
11

Select "Growth" or "Decay" to classify each function.

Mathematics
1 answer:
frozen [14]3 years ago
5 0

y=c(a)^x\\\\if\ a > 0\ then\ "Growth"\\\\if\ 0 < a < 1\ then\ "Decay"\\-----------------------------\\y=200(0.5)^{2t}\to a=0.5 < 1-"Decay"\\\\y=\dfrac{1}{2}(2.5)^{\frac{t}{6}}\to a=2.5 > 1-"Growth"\\\\y=(0.65)^{\frac{t}{4}}\to a=0.65 < 1-"Decay"

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Hi, having trouble understanding this question.. as well as solving it.
kramer

-- You have two angles.

-- They're complementary . . . they add up to 90 degrees.

-- One is 4 times as big as the other one.
___________________________________________

-- The smaller angle has 1 share of the 90 degrees.

-- The bigger angle has 4 shares of the 90 degrees.

-- (The smaller one is 1/4 the size of the bigger one.
   The bigger one is 4 times the size of the smaller one.)

-- When you add them together, you get 5 shares, totaling 90 degrees.

-- What's the size of each share ?  It's 90/5 = 18 degrees.

-- The smaller angle gets one share . . . 18 degrees.

-- The bigger angle gets 4 shares.   (4 x 18) = 72 degrees.
____________________________________

Check:

-- Is the small one 1/4 the size of the big one ?    18/72 = 1/4  Yes.

-- Are they complementary ?  Do they add up to 90 degrees ?

                                                                       18 + 72  =  90  Yes.

                                                                                 yay !
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1.06t can be written as (1.061/2)2t to give the approximate equivalent monthly interest rate based on an annual rate of 6%. Use
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Answer: 1.06^t.


Step-by-step explanation: We are given expression 1.06^t.

And 1.06^t expression is converted in (1.06^{1/2})^{2t}.

Now, we need to transform the expression into a single exponent expression using the properties of exponents.

We know, according to the properties of exponents

(a^m)^n = a^{m\times n}

Applying same rule in given expression, we get

(1.06^{1/2})^{2t} = (1.06)^{\frac{1}{2} \times 2t}

On simplifying exponents, we would get t in exponent.

=  1.06^t.

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