Let
x ----------> the height of the whole poster
<span>y ----------> the </span>width<span> of the whole poster
</span>
We need
to minimize the area A=x*y
we know that
(x-4)*(y-2)=722
(y-2)=722/(x-4)
(y)=[722/(x-4)]+2
so
A(x)=x*y--------->A(x)=x*{[722/(x-4)]+2}
Need to minimize this function over x > 4
find the derivative------> A1 (x)
A1(x)=2*[8x²-8x-1428]/[(x-4)²]
for A1(x)=0
8x²-8x-1428=0
using a graph tool
gives x=13.87 in
(y)=[722/(x-4)]+2
y=[2x+714]/[x-4]-----> y=[2*13.87+714]/[13.87-4]-----> y=75.15 in
the answer is
<span>the dimensions of the poster will be
</span>the height of the whole poster is 13.87 in
the width of the whole poster is 75.15 in
Answer:
21.9 ft
Step-by-step explanation:
The area of a square is the square of the side length, so the side length is the square root of the area:
... s = √(479 ft²) ≈ 21.886 ft
This is approximately 21.9 ft.
Answer:
-0.39mL
Step-by-step explanation:
Let x be the number.
The expression would be: 0.40 + x = 0.01
Apply algebra to the equation to solve for x. You can subtract 0.40 from each side to simplify the expression. Here's what it should look like after applying algebra: x = -0.39
Therefore the answer is -0.39mL
Step-by-step explanation:
Refer to the attachment.
I hope it helps:)
The amount that will be in the account after 30 years is $188,921.57.
<h3>How much would be in the account after 30 years?</h3>
When an amount is compounded annually, it means that once a year, the amount invested and the interest already accrued increases in value. Compound interest leads to a higher value of deposit when compared with simple interest, where only the amount deposited increases in value once a year.
The formula that can be used to determine the future value of the deposit in 30 years is : annuity factor x yearly deposit
Annuity factor = {[(1+r)^n] - 1} / r
Where:
- r = interest rate
- n = number of years
$2000 x [{(1.07^30) - 1} / 0.07] = $188,921.57
To learn more about calculating the future value of an annuity, please check: brainly.com/question/24108530
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