compound interest equation for annually compounded
A=final amount
P=principal
r=rate in decimal
t=time in years
given that
A=1550
P=1000
r=5.5%=0.055
find t
divide both sides by 1000
take ln of both sides
use ln rule 
divide both sides by ln(1.055)
using a calculator, we get that t=8.18544 yrs
so about 8.2yrs
Let’s first find the angle y
Angle y = 180-(140+10)(angle sum property)
Angle y = 180-150
Angle y = 30 degrees
Angle x = 180- 110 ( linear pair )
Angle x = 70
Angle z = 180-(70+90)( angle sum property)
Angle z = 180-160
Angle z = 20
Answer:
We know
sin (A + B) = sin A cos B + cos A sin B
sin (A - B) = sin A cos B - cos A sin B
(A + B) + sin (A - B)
= sin A cos B + cos A sin B + sin A cos B - cos A sin B
= sin A cos B + sin A cos B
= 2 sin A cos B
The
solution would be like this for this specific problem:
729 = 4*pi * r^3/3
<span>
Multiply both sides by 3 </span>
<span>2185 = 4*pi*r3</span>
<span>Divide both sides by 4 pi.</span>
<span><span>173.9649681528662 = r3
r = </span>5.58239548</span>
A = 4 pi r^2
<span>A = 4 * 3.14 * 5.582395482</span>
<span>
A = 391.7 square inches</span>
The
surface area of the sphere to the nearest tenth of an inch is 391.7
square inches.
Answer:
Let l be length and w be width.
First equation:
l = 2w-4
Second equation:
perimeter = 40 units
Perimeter of a rectangle: 2(l+w)
2(2w-4+w)=40
2(3w-4)=40
6w-8=40
6w=40+8
6w=48
w=48/6
w=8
Therefore the width=8;
length= 2w-4 = 2(8)-4 = 16-4 = 12
perimeter = 40 units
