Answer:
The arc length of the semicircle is half the circumference of the full circle
Answer:
875cm^2
Step-by-step explanation:
since opposite sides are equal
3x-y=2x+y
x=2y
y=x/2 ....(i)
thus new length=2x+y
=2x+(x/2) [using (i)]
=(4x+x)/2
l=5x/2 .....(ii)
now,
perimeter=2(l+b)=120cm
l+b=60cm
from figure and using (ii)
[5x/2]+2x-3=60
[5x+4x-6]/2=60
9x-6=120
9x=126
x=126/9
x=14 ..........(iii)
substitute (iii) in (i)
y=14/2
y=7 ...........(iv)
From figure,
length=2x+y [using (iii) and (iv)]
=2x14+7
length=35cm
breadth=2x-3
=2x14-3 ....[using(iii)]
=28-3
breadth=25cm
now,
Area=lxb
=35x25
=875cm^2
Answer: The amount is $14794.39 and the interest is $9794.39
Step-by-step explanation: If you deposit <em><u>$5000</u></em><u> </u>into an account paying <em><u>7.5%</u></em> annual interest compounded yearly , how much money will be in the account after <em><u>15 years</u></em>?
To find amount we use formula:
A-P(1+r/n) n*t
A = total amount
P = principal or amount of money deposited,
r = annual interest rate
n = number of times compounded per year
t = time in years
P=$5000, r=7.5, n=1 and, t=15 years
After plugging the given information we have
A= $5000 (1+0.075/1)^1.15
A= 5000 *1.075^15
A=14794.39
To find interest we use formula A=P+I'
since A= 14794.39 and P=5000
we have: A=P+I 14794.39=5000+I
I= 14794.39 -5000
I=9794.39
Answer:
For 5/11 shade in the third bubble (0.45 repeating)
