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3 years ago

If I was born in 1999 and 2019 how long has it been

Mathematics

1 answer:

stepladder [879]3 years ago

4 0

Answer:

20 years

Step-by-step explanation:

2019-1999=20

Well it may not exactly be 20 years if you were born on October 7 1999 and it is January 1st 2019 then it would be 19 years. But assuming that it is the exact date then it would be 20 years. Also we are forgetting about leap days. If you were born on May 4th 1999 and it is May 3rd 2019 you are technically 20 years old. But I am not really sure if that really counts.

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4 years ago

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Sophia expects the number of cows, C C, on her farm t t years from now to be modeled by the function C ( t ) = 3 0 ( 2 ) C(t)=30

topjm [15]

Answer:

The expression is given as:

$H(t)=C(t)\times F(t)=240\times 3^t$ .

Step-by-step explanation:

Sophia expects the number of cows, C, on her farm t years from now to be modeled by the function:

$C( t ) = 30\times (2)^t$

Additionally, she expects the supply of hay, F, in tons, that her crops can provide for each cow t years from now to be modeled by the function

$F( t ) =8\times (1.5)^t$

Let H be the total yearly amount of hay produced in Sophia's farm (in tons) t years from now.

Total amount of Hay produced in sophia's farm= Number of cows in farm×Amount of hay required for each cow.

i.e. H(t)=C(t)×F(t)

$H(t)=30\times 8\times (2)^t\times (1.5)^t$

and we know that $a^x\times b^x=(a\times b)^x=(ab)^x$

Hence, $H(t)=240\times (2\times 1.5)^t\\\\H(t)=240\times 3^t$ .

Hence, the hay produced on Sophia's farm is used exclusively to feed her cows i.e. we need to write the formula of H ( t ) in terms of C(t) and F (t) is:

$H(t)=C(t)\times F(t)=240\times 3^t$ .

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