Answer: 
Step-by-step explanation:
Given
The temperature of the liquid is
placed in an oven with temperature of
.
Initially difference in temperature of the two

According to the question
![\Rightarrow \dfrac{dT(t)}{dt}=77\cdot \Delta T\\\\\Rightarrow \dfrac{dT(t)}{dt}=77\times (450-T)\quad [\text{T=75}^{\circ}F\ \text{at t=0}]](https://tex.z-dn.net/?f=%5CRightarrow%20%5Cdfrac%7BdT%28t%29%7D%7Bdt%7D%3D77%5Ccdot%20%5CDelta%20T%5C%5C%5C%5C%5CRightarrow%20%5Cdfrac%7BdT%28t%29%7D%7Bdt%7D%3D77%5Ctimes%20%28450-T%29%5Cquad%20%5B%5Ctext%7BT%3D75%7D%5E%7B%5Ccirc%7DF%5C%20%5Ctext%7Bat%20t%3D0%7D%5D)
Answer:
The answer is (A)
Step-by-step explanation:
By subtracting both number you will be left off with the distance between the numbers.
Edit: answer (C) is wrong because it refers to the absolute values of p and q, the absolute value of a number is equal to how many numbers that number is away from zero.
Answer:
a = 12. b =1/6. g(x) = 12(1/6)^x
Step-by-step explanation:
g(x) =a * b^x.
First we should use the give values to us in the table which are x=0 then g(x) = 12 and if x =1, then g(x) = 2. We should plug in the value where x = 0 since any value to the power of 0 is 1. 12= a *b^0. 12=a *1. Then we will get the value of a which is 12. Then we plug in our second given value to find b. 2 = 12 * b^1. First we will divide both sides by 12 to find b. 2/12 = 1/6. since any value to the power of 1 is itself then b =1/6. Then you will have a = 12. b =1/6 so g(x) = 12(1/6)^x
Answer:
$28,342.54
Step-by-step explanation:
The value of an account earning compound interest is found using the formula ...
A = P(1 +r/n)^(nt)
where P is the principal invested at annual rate r compounded n times per year for t years.
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You have P=7000, r=0.12, n=2, t=12.
Using these values in the formula, we find the accumulated value of the investment to be ...
A = 7000(1 +0.12/2)^(2·12) = 7000(1.06^24) ≈ 28,342.54
The value after 12 years is $28,342.54.
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<em>Additional comment</em>
The time-value-of-money functions of your calculator or spreadsheet can find this for you.
D 25 devided by 2. is the answer