Answer:
Step-by-step explanation:
Set ratios and solve for x
<u>Corresponding sides are AC with A'C' and CB with C'B'</u>
- AC/A'C' = CB/C'B'
- (x - 1)/2 = (x + 4)/3
- 3(x - 1) = 2(x + 4)
- 3x - 3 = 2x + 8
- 3x - 2x = 8 + 3
- x = 11
<u>Find the values of AC and CB:</u>
- AC = x - 1 = 11 - 1 = 10 cm
- CB = x + 4 = 11 + 4 = 15 cm
T = 6 years
Equation:
t = (1/r)(A/P - 1)
Calculation:
First, converting R percent to r a decimal
r = R/100 = 7.5%/100 = 0.075 per year,
then, solving our equation
t = (1/0.075)((725/500) - 1) = 6
t = 6 years
The time required to get
a total amount, principal plus interest, of $ 725.00
from simple interest on a principal of $ 500.00
at an interest rate of 7.5% per year
is 6 years.
Answer:
x=104
Step-by-step explanation:
Angle Formed by Two Secants= 1/2(difference of Intercepted Arcs)
10.5 = 1/2( x-83)
Multiply each side by 2
2* 10.5 = 2*1/2( x-83)
21 = x-83
Add 83 to each side
21+83 = x-83+83
104 =x
126 divided by 2 = 63
63 x 3 = 189
b = 189
