Answer:
Step-by-step explanation:
We would apply the formula for determining compound interest which is expressed as
A = P(1 + r/n)^nt
Where
A = total amount in the account at the end of t years
r represents the interest rate.
n represents the periodic interval at which it was compounded.
P represents the principal or initial amount deposited
From the information given,
P = £600
r = 3.2% = 3.2/100 = 0.32
n = 1 because it was compounded once in a year.
t = 6 years
Therefore,.
A = 600(1 + 0.032/1)^1 × 6
A = 600(1.032)^6
A = £724.82
Sixty two million, one hundred thirty two thousand, two hundred seventy four
Step-by-step explanation:
given the perimeter is
64ft
the length l= 3w
we know that the perimeter of a rectangle is given as
P=2l+2W
but L=3w
64=2(3w)+2w
64=6w+2w
64=8w
divide both sides by 8 we have
w=64/8
w=8ft
also
let the lenght of the rectangle be l
side of hexagon=l-4
perimeter of hexagon
P=5(l-4)
P=5l-20
width of rectangle w=l-2
perimeter of rectangle= 2l+2w
but w=l-2
5l-20= 2l+2(l-2)
5l-20=2l+2l-4
5l-20=4l-4
5l-4l=-4+20
l=16ft
perimeter of hexagon
P=5(l-4)
put l=16
perimeter of hexagon
P=5(16-4)
p=5(12)
P=60ft
Answer:
Step-by-step explanation:
<u>Trigonometric Ratios</u>
The ratios of the sides of a right triangle are called trigonometric ratios. There are six trigonometric ratios, sine (sin), cosine (cos), tangent (tan), cosecant (csc), secant (sec), and cotangent (cot).
The ratios are valid only in right triangles, or when one of the internal angles is 90°.
Take any of the acute angles as a reference, and the largest side as the hypotenuse, then:
The missing side of the triangle x can be calculated by using Pythagora's Theorem:
Solving:
For the angle marked as θ:
Rationalizing:
