<span>This one is the correct answer----->Multiply the bottom equation by 2 thus eliminating the y variable when the equations are added together.
</span><span>X + 6y = 2 ....top
</span><span>4x - 3y = 10...bottom
if we multiply the bottom equation by 2 .......... => 8x - 6y = 20
if we add it to the top one..........>(8+1)x +(6-6)y = (20+2)
then we solve for x => x = 22/9
then with the top equation, we solve for y == > y = -2/27</span>
The simplified expression is 17z
the lcm of 16 and 18 is 144 !
Answer:
$1,709.00
Step-by-step explanation:
First, let's convert the annualy interest rest (ia) to monthly(im):
(1 + im)¹² = 1 + ia
(1 + im)¹² = 1 + 0.04
(1 + im) = 
im = 1.0033 - 1
im = 0.0033 = 0.33%
For an investiment, the final amount (A) can be calculated by:
Where R is the amount invested per month, i is the interest, and n the number of months
n = 40*12 = 480 months
2,000,000 = R*((1+0.0033)⁴⁸⁰ - 1)/0.0033)
2,000,000 = R*1,170.22
R = $1,709.00
The value of AB = 36
<h3>What is an isosceles triangle?</h3>
An isosceles triangle is a triangle with base angles equal with any two sides equal.
Analysis:
∠ACB = 120
ABC is isosceles, so ∠CAB = ∠CBA = x
x + x + 120 = 180 ( sum of angles in Δ ABC)
2x = 60
x = 30
∠AMC = 180 - ∠BMC( angles on a straight line)
= 180 - 60 = 120
∠ACM = 180 - (30 + 120) = 180 - 150 = 30°
∠MCB = 90°
using sine rule,
12/sin 30 = AM/ sin 30
AM = 12
MB/sin 90 = 12/sin30
MB sin 30 = 12 sin 90
MB = 12/sin 30 = 12/0.5 = 24
AB = MB + AM = 24 + 12 = 36
Learn more about isosceles triangle: brainly.com/question/1475130
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