Answer:
£ 6,564.70
Step-by-step explanation:
Henry places £6000 in an account which pays 4.6% compound interest each year. Calculate the amount in his amount after 2 years
Compound Interest formula =
A = P(1 + r/n)^nt
A = Final Amounrt
P = Principal = £6,000
r = Interest rate = 4.6%
t = Time in years = 2 years
n = Compounding frequency = Yearly = 1
First, convert R percent to r a decimal
r = R/100
r = 4.6%/100
r = 0.046 per year,
Then, solve our equation for A
A = P(1 + r/n)^nt
A = 6,000.00(1 + 0.046/1)^(1×2)
A = £ 6,564.70
The amount in his account after 2 years = £ 6,564.70
Answer:
1864 R 2
Step-by-step explanation:
Convert any mixed numbers to fractions.
Then your initial equation becomes:
15
4
×
4
1
Applying the fractions formula for multiplication,
=
15
×
4
4
×
1
=
60
4
Simplifying 60/4, the answer is
15
1 times 108
I Hope this helps.
Like XZ divides the cord YV into two congruent parts (YW=5.27 cm=WV), this segment XZ must be perpendicular to the segment YV, then the angle XWY in triangle XWY is a right angle (90°) and the triangle XWY is a right angle.
We can apply the trigonometric ratios in triangle XWY:
Hypotenure: XY
sin 44°=(Opposite leg to 44°)/(hypothenuse)
sin 44°=YW/XY
sin 44°=(5.27 cm)/XY
Solving for XY. Cross multiplication:
sin44° XY=5.27 cm
Dividing both sides of the equation by sin 44°:
sin 44° XY / sin 44° = (5.27 cm)/sin 44°
XY=(5.27/sin 44°) cm
XY=(5.27/0.694658370) cm
XY=7.586462929 cm
This value XY is the radius of the circle, then:
XZ=XY→XZ=7.586462969 cm
tan 44°=(Opposite leg to 44°) / (Adjacent leg to 44°)
tan 44°=YW/XW
tan 44°=(5.27 cm)/XW
Solving for XW. Cross multiplication:
tan 44° XW=5.27 cm
Dividing both sides of the equation by tan 44°:
tan 44° XW / tan 44°=(5.27 cm)/tan 44°
XW=(5.27/tan 44°) cm
XW=(5.27/0.965688775) cm
XW=5.457244753 cm
WZ=XZ-XW
WZ=7.586462969 cm-5.457244753 cm
WZ=2.129218216 cm
Rounded to 2 decimal places:
WZ=2.13 cm
Answer: The <span>measurement is closest to the measure of segment WZ is
2.13 cm</span>
