Answer:
Step-by-step explanation:
The rate if increase of side of square is 7cm/s
dL/dt=7
At what area is the area increasing
dA/dt=?
Areas of square is give to be 36cm²
Analysis
Let L be the length of each side of the square, a square has equal side.
Area of square is give as L²
Area=L²
L²=36
i.e L=√36
L=6cm
Therefore at t=0 L=6cm and A=36cm²
A=L²
dA/dL=2L
Given that, dL/dt=7
Multiply the two differential together
dA/dt= dA/dL × dL/dt
dA/dt= 2L × 7
dA/dt= 2×6×7
dA/dt= 84cm²/s
The rate of increase of the square is 84cm²/s
Answer:
-4
Step-by-step explanation:
simplify both sides of the equation, subtract 4n from both sides, add 16 to both sides, divide both sides by -3
Answer:
<u>The quantity is US$ 58, which 6.5% is US$ 3.77 </u>
Step-by-step explanation:
Number = x
6.5% of x = $ 3.77
6.5% = 0.065 = 65/1,000 = 13/200 (Dividing by 5)
3.77 = 3 + 77/100 (We can't simplify 77/100)
Thus,
13/200 * x = 3 77/100
13x/200 = 377/100
13x = 754 (Multiplying by 200 at both sides)
x = 754/13 (Dividing by 13 at both sides)
<u>x = 58</u>
Answer:
$2,407.5
Step-by-step explanation:
To solve this question, we will use the formula for calculating the amount formula as shown;
A =P(1+r)^n
Given that;
P = #$1300
r = 4.5% = 0.045
t = 14years
Substitute
A = 1300(1+0.045)^14
A = 1300(1.045)^14
A = 1300(1.8519)
A = 2,407.5
Hence Isabella would have $2,407.5 in her account after 14years
We know that the longest side of the triangle cannot be longer or equal to the legnth of the sum of the other two sides ( becasue if it was equal, then you would get a straight line)
so if you assume that 12 is longest side then the other sides could be 6
if you assume that the longest side is the third side then the longest side could be 18
