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Anastasy [175]
2 years ago
11

The ratio of male to female bats under the Congress Avenue Bridge in Austin, Texas is 5/4. If you were to see 486 bats fly out f

rom under the bridge, how many would you expect to be female?​
Mathematics
1 answer:
hammer [34]2 years ago
3 0

Answer:

216 bats will be female

Step-by-step explanation:

First, you set it up for a cross multiply

<u>9</u>        =        <u>486</u>

4                    x

We use nine because the ratio of male to female is 5/4 so the ratio of total to female is 9/4. Cross multiply.

   9x = 1944

    x= 216

So 216 bats will be female

   If you liked this, please give me brainliest.

                                                       Thankyou

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(Annuity number of​ periods) ​You've just bought a new​ flat-screen TV for ​$3,400 and the store you bought it from offers to le
AleksAgata [21]

9514 1404 393

Answer:

  2.5 years

  $736 in interest

Step-by-step explanation:

The relationship between the values in an amortization is ...

  A = P(r/12)/(1 -(1 +r/12)^(-12t))

Here, we have A = 140, P = 3400, r = 0.16 and we want to find t

  140 = 3400(0.16/12)/(1 -(1 +0.16/12)^(-12t))

  1 -(1 +0.16/12)^(-12t) = 1/3.0882353

  (1 +0.16/12)^(-12t) = 0.67619048

Taking logarithms gives ...

  -12t·log(1 +0.16/12) = log(0.67619048)

  t = log(0.67619048)/(-12·log(1+0.16/12)) ≈ 2.46177

It will take about 2.5 years to pay off the loan.

__

The total of payments is ...

  (2.46177)(12)($140) = $4135.77

so, the interest paid is ...

  $4135.77 -3400 = $735.77

You will pay about $736 in interest over the life of the loan.

_____

<em>Additional comment</em>

The number of payments is calculated to be about 29.54. You would probably make 30 payments, with the last payment being a different amount than $140. The actual amount will depend on when the payment is made, and the amount of it that is finance charge. We believe the remaining balance after 29 payments will be $75. After a full month, the finance charge due on that amount is $1.00, bringing the total amount of interest paid to $736.

If the loan is paid off in the middle of the month, the interest due is reduced. Above, we have calculated interest based on a last payment made part way through the month. We rounded up, partly because of the ambiguity in the final payment.

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2 years ago
REALLY APPRECIATE YOUR HELP<br><br>Given log x = 3 and log y = 2, prove that x^2 -7xy =3000y​​
anyanavicka [17]

Answer:

if \:  log(x )  = 3 \\  log_{10}(x)  = 3 \\   {10}^{3}  = x \\ therfore \to \:  \boxed{x =  {10}^{3} } \\ \\  if \:  log(y )  = 2 \\  log_{10}(y)  = 2 \\   {10}^{2}  = y \\ therfore \to \:  \boxed{y=  {10}^{2} }

Step-by-step explanation:

x^2 -7xy =3000y \: then \to \\ x^2 =3000y + 7xy \\ {(10 ^{3} )}^{2}  = 3000(10)^{2}    + 7( {10}^{3} \times  {10}^{2})  \\   {10}^{6}   = 3000(10)^{2}    + 7( {10}^{3} \times  {10}^{2})  \\   {10}^{6}   = 3000(10)^{2}    + 7( {10}^{5} )   \\  {10}^{6}  = 300000 + 700000 \\   \boxed{{10}^{6}  = 1000000} \\ hence \: the \: equation \to \: x^2 -7xy =3000y \\ \boxed{ is \: corret}

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Answer:

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Step-by-step explanation:

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Answer:tbr bro same

Step-by-step explanation: but you need the little paper saying you can remember and recite if you drop out that’s cool I might too but only do it if you have a plan don’t drop out and not know what to do, good luck take it easy p.s I’m a sophomore but I feel you .

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