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WITCHER [35]
3 years ago
7

an online media service offers video and music downloads. Each download of a song costs $1.2. Each download of a video costs 4 t

imes as much as the song download. You have a credit of $80. How many songs can you purchase after buying 10 videos?
Mathematics
2 answers:
IceJOKER [234]3 years ago
8 0
She can buy 26 songs after purchasing 10 videos
mafiozo [28]3 years ago
7 0
She can purchase 26 songs. To find you answer you would multiply $1.2 times 4 to get the cost for the music videos. You would get 48 then you subtract 48 from 80. Then you would divide the answer you got which would be 32 by 1.2 to find how many songs you can purchase. Your final answer would be 26.
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Answer:

The exponential function to model the duck population is:

f(n)=415*(1.32)^n, where:

x is the duck population

n is the number of years

Step-by-step explanation:

In order to calculate the duck population you can use the formula to calculate future value:

FV=PV*(1+r)^n

FV=future value

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In this case, the present value is the initial population of 415 and the rate is 32%. You can replace these values on the formula and the exponential function to model the duck population would be:

f(n)=415*(1+0.32)^n

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Which expressions are equivalent to R16? Check all that apply.
Ilya [14]

Option C:  (6^{-4})^{-4}

Option D:  (6^{-2})^{-8}

Option F:  (6^8)^2

Solution:

Given expression: 6^{16}

To find which expression is equivalent to the given expression.

Let us solve this using exponent rule: \left(a^{b}\right)^{c}=a^{b c}

Option A: (6^{0})^{16}

(6^{0})^{16}=6^{0 \times 16}= 6^0

It is not equivalent expression.

Option B: (6^8)^8

(6^{8})^{8}=6^{8 \times 8}= 6^{64}

It is not equivalent expression.

Option C:  (6^{-4})^{-4}

(6^{-4})^{-4}=6^{(-4 )\times (-4)}= 6^{16}

It is equivalent expression for the given expression.

Option D:  (6^{-2})^{-8}

(6^{-2})^{-8}=6^{(-2) \times (-8)}= 6^{16}

It is equivalent expression for the given expression.

Option E:  (6^{-1})^{16}

(6^{-1})^{16}=6^{(-1) \times 16}= 6^{-16}

It is not equivalent expression.

Option F:  (6^8)^2

(6^{8})^{2}=6^{8 \times 2}= 6^{16}

It is equivalent expression for the given expression.

Hence (6^{-4})^{-4}, \ (6^{-2})^{-8}, \ (6^8)^2 are the equivalent expressions.

Option C, Option D and Option F are correct answers.

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