Answer:
6.75 pounds
Step-by-step explanation:
This question is of direct variation. We will use x as our answer. 8 is 2/3 of 12, so 4.5 should be 2/3 of x. We can now make an equation.
In order to solve the equation, we multiply both sides by the reciprocal of 2/3, which is 3/2.
* stands for multiplication
From solving our equation, we get 6.75. We can't forget the units, so the answer is 6.75 pounds.
<span>6x-2y=-8
-2y =-6x-8
y = 3x+4
y= 3x+4</span>
Answer:
The weight of the block of ice after 1 day is of 4.81 pounds.
Step-by-step explanation:
Equation for exponential decay:
The equation that models an amount after t hours, subject to exponential decay, is given by:
In which A(0) is the initial amount and r is the decay rate, as a decimal.
A 10-pound block of ice melts at a rate of 3% per hour.
This means that
So
Find the weight of the block of ice after 1 day.
One day has 24 hours, so this is A(24).
The weight of the block of ice after 1 day is of 4.81 pounds.
you combine like terms first.
for example: 2x=2+5
add up the two plus 5 so that will give you seven then you're going to divide 2 by 7 so that you isolate the x and you'll get your answer.
Answer:
$2936.79
Explanation:
The Formula for compounding interest:
F = final amount (we need to find this)
I = initial amount (900 + 250 + 300 + 1400 = $2850)
r = interest rate (1% = 0.01)
n = number of times interest applied per time period (360)
t = number of time periods elapsed (36 months = 3 years)
F = 2850(1.030454105)
F = $2936.79