$16,281$⁢16,281 is invested, part at 15%15% and the rest at 13%13%. if the interest earned from the amount invested at 15%15% exceeds the interest earned from the amount invested at 13%13% by $1995.27$⁢1995.27, how much is invested at each rate? (round to two decimal places if necessary.)

Ans. The amount invested at 13% was $1,595.97 and $14,685.03 were invested at 15%

Explanation:

Hi, you can solve this by using 2 equations, so let X be the portion of the money invested at 15% and Y be the amount invested at 13%. So the equation for the whole amount is:

Now, the problem says that the money that you earn by investing at 15% exceeds the money received as interest in your investment of 13% by $1,995.27, this leads us to the second equation.

Now, to make it a little more friendly, we just have to go ahead and divide everything by 0.15, so we get.

Now, in our first equation, we substitute X fo 0.8867(Y)+13,301.8 and we will see this.

Now, we solve for Y

So the money invested at 13% was $1,595.97 therefore, the money invested at 15% was $16,281 - $1,595.97 = $14,685.03

And we can check this results like this. The money invested at 15% will return an amount of:

And the money invested at 13% will return

Substracting, we would found that the difference is:

Best of luck.

ans.

heterothermic organisms include those organisms that can switch between homeothermic (having body temperature higher than environment) and poikilothermic (having variation in internal body temperature) strategies.

some migratory birds show heterothermy as they decrease their metabolic rate during cold nights to keep their body temperature low. drop in metabolic rate allows increase in production efficiency of birds that reduces the internal body temperature to make it equal to external cold temperature during cold nights.

thus, the correct answer is 'birds allow their temperature drop in order to increase their production efficiency.'