Answer:
13.5
Step-by-step explanation:
First is to get the volume of the cylinder.
Volume = pi * r^2 * H
Volume = 3.1416 * (5/2)^2 * 30
Volume = 589.05 in^3
30% is already filled.
Filled Space = 589.05 * 0.30
Filled Space = 176.715 in^3
Empty Space = 412.335 in^3
Next, get the volume of the sphere.
V = (4/3)*pi*r^3
V = (4/3)*pi*(0.6/2)^3
V = 0.1130976 in^3
Number of foams = Filled Space / V
Number of foams = 176.715 / <span>0.1130976
Number of foams = 1562 Foams</span>
Answer:
Step-by-step explanation:
%profit = selling price - cost price/cost price * 100
If Mr. Wayne marks up every item with a profit of 25% and x be his cost for a calculator, the expression for the selling price can be gotten by substituting the parameters into the formula;
25 = sp-cp/cp * 100
25/100 = sp-x/x
0.25 = sp-x/x
cross multiply
0.25x = sp-x
add x to both sides
0.25x+x = sp-x+x
1.25x = sp
selling price = 1.25x
<em>Hence an expression for the selling price of the calculator is 1.25x</em>
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b) If Mr wayne paid $25, the selling price is derived by substituing x = $25 into the expression in (a)
selling price = 1.25x
selling price = 1.25($25)
selling price = $31.25
c) If the selling price is $86, to get the cost of the calculator, substitute the selling price into the expression in (a)
selling price = 1.25x
$86= 1.25x
x is the cost price of the calculator
divide both sides by 1.25
$86/1.25= 1.25x/1.25
x = $68.8
<em>Hence Wayne paid $68.8 for a calculator that he sells for $86.</em>
1) Jason: Shop A - 11 units; Shop B - 12 units. Sales increase at 17% per week. So, 11 + 12 = 23.
f(x) = 23(1.17)ˣ
2) Daniel: Element A temp - 44(1.13)ˣ ; Element B temp - 17(1.13)ˣ. How much temp of Element A be more than the temp of Element B.
f(x) = 44(1.13)ˣ - 17(1.13)ˣ = 27(1.13)ˣ
f(x) = 27(1.13)ˣ
3) Maggie: Tshirt price - $13. Charity donation - 270
f(x) = 13x - 270
4) Mr. Smith: Length of backyard - 30x + 29 ; Length of square patio - 13x + 6
Length not covered by the patio.
f(x) = (30x + 29) - (13x + 6) = 30x - 13x + 29 - 6 = 17x + 23
f(x) = 17x + 23
