Answer: 6x=42
Explanation: After the step 6x+6=36, it’ll equal 6x=30 because when you subtract the 6 on both sides, it’ll equal 30, revealing it’s actually 6x=30, with the conclusion of x=5.
2(3x+5)=9x+9-3x+1
(2)(3x)+(2)(5)=9x+9-3x+1
6x+10=9x+9-3x+1
6x+10=(9x-3x)+(9+1)
6x+10=6x+10
6x-6x+10=6x-6x+10
10=10
10-10=10-10
0=0
All real numbers are solutions.
<span>The area to be determined is a segment of the circle.
Since central angle is 120 degrees and 120/360 = 1/3
area of sector of circle is (1/3)*36pi = 12pi
For the area of triangle, you can split it into 2 30-60-90 right triangles with sides 3:3sqrt3:6
thus base of triangle is 6sqrt3 and height is 3
Area = 1/2 * 3* 6sqrt3 = 9sqrt3 -->
segment area = 12pi - 9sqrt3</span>
Answer:
$875.18
Step-by-step explanation:
Given data
Lydia
P=$5900
Interest rate=2 5/8% >>21/8= 2.625%
compounded monthly.
First, convert R percent to r a decimal
r = R/100
r = 2.625%/100
r = 0.02625 per year,
Then, solve our equation for A
A = P(1 + r/n)^nt
A = 5,900.00(1 + 0.0021875/12)^(12)(19)
A = $ 9,710.01
Jace
P=$5900
Interest rate= 2 1/8% >>> 17/8>> 2.125%
Time= 19 years
First, convert R percent to r a decimal
r = R/100
r = 2.125%/100
r = 0.02125 per year,
Then, solve our equation for A
A = Pert
A = 5,900.00(2.71828)^(0.02125)(19)
A = $ 8,834.83
Hence the difference in their account balance is
= 9,710.01- 8,834.83
=$875.18
Therefore Lydia has $875.18 more money than Jace
