SA=2H(L+W)+LW for open box
20=2H(4+W)+4(W)
distribute
20=8H+2WH+4W
divide both sides by 2
10=4H+WH+2W
solve for 1 variable, pick W
10-4H=WH+2W
10-4H=W(H+2)
(10-4H)/(H+2)=W
V=LWH
subsitute 4 for V, subsitute H for H and (10-4H)/(H+2) for W
V=(4)(H)(10-4H)/(H+2)
V=(40H-16H²)/(H+2)
find max value
take deritivitive of this thing
V'=-16(H²+4H-5)/((H+2)²)
using sign chart
sign changes from positive to negative at H=1
so at H=1
find W
W=(10-4H)/(H+2)
W=2
the dimeionts are
length=4ft
width=2ft
height=1ft
(the volume is 8 cubic feet)
The tuition would be $6143.94 next year
<h3>How to detemrine the tuition amount?</h3>
The given parameters are:
- Current amount = $5,742
- Rate of increment, r = 7%
The tuition next year is then calculated as:
Tuition = Current * (1 + Rate)
This gives
Tuition = $5,742 * (1 + 7%)
Evaluate
Tuition = $6143.94
Hence, the tuition would be $6143.94 next year
Read more about rates at:
brainly.com/question/25545513
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Answer:
$3600
Step-by-step explanation:
In each case, the repair cost exceeded the deductible, so your out-of-pocket cost for 2 repairs is ...
2 × $1050 = $2100
In addition, you had to pay the premium of $750 per 6-month period, or $1500 per year, so your total was ...
$2100 +1500 = $3600 . . . out-of-pocket total
Answer:
5.5 minutes
Step-by-step explanation:
Fill in the given information and solve for t.
75 = -15cos(2πt/15) +65
-10/15 = cos(2πt/15)
t = 15/(2π)arccos(-2/3) ≈ 5.492
The volume reaches 75 dB about 5.5 minutes after the truck arrives.
Answer:
b, c, & d also = 34
Step-by-step explanation:
They all are inscribed angles of the same arc
