Let the sides of square base be "x" and height be "h" first come up with expressions for surface area and volume<span>SA=2<span>x2</span>+4hx=600</span>
<span>V=h<span>x2</span></span>Next get h in terms of x and sub it into Volume equation<span>h=<span><span>300−<span>x2</span></span><span>2x</span></span></span>
<span>→V=(<span><span>300−<span>x2</span></span><span>2x</span></span>)<span>x2</span></span>
<span>V=150x−<span>12</span><span>x3</span></span>maximize volume by setting derivative equal to 0<span><span><span>dV</span><span>dx</span></span>=150−<span>32</span><span>x2</span>=0</span>solve for x<span>x=10</span><span> which means h =10 max volume occurs when box is a cube 10^3 = 1000 cm^3</span>
Answer:
t, representing weight, in pounds, of the newborn baby
Step-by-step explanation: I
am 80% sure sorry if wrong
Answer:
$395.61
Step-by-step explanation:
The formula for simple interest is:

Where
i is the interest amount
P is the principal amount
r is the rate of interest per time period
t is the time period
Here,
P = 4869
we want to find after 30 months, that converted to years is:
30/12 = 2.5 years
t = 2.5
The annual rate is 3.25% = 0.0325
Now, substituting, we find our answer:

The interest earned is <u>$395.61</u>
Step 1: Isolate the absolute value
Step 2: Is the number on the other side of the equation negative?
Step 3: Write two equations without absolute value bars
Step 4: Solve both equations
Three between the x values and four between the y values