Answer:
She invested $30,000 at 9%
Step-by-step explanation:
Let the amount invested per percentage be $x and $y respectively
Total investment is 40,000
This means that;
x + y = 40,000 ••••••••••(i)
Now for her income;
9/100 * x = 9x/100
for the 12% = 12/100 * y = 12y/100
Now;
9x/100 + 12y/100 = 3,900
9x + 12y = 390000 •••••••••(ii)
we solve both simultaneously
From i, y = 40,000-x
Substitute this into ii
9x + 12(40,000-x) = 390,000
9x + 480,000-12x = 390,000
3x = 480,000-390,0000
3x = 90,000
x = 90,000/3
x = $30,000
Answer:
80°
Step-by-step explanation:
The angles can be written as 4x, 6x, and 8x. Since the sum of angles in a triangle is 180 degrees we can write:
4x + 6x + 8x = 180
18x = 180
x = 10 which means the largest angle (8x) = 8 * 10 = 80°
Answer:
y = |3x|
Step-by-step explanation:
You multiply two rational numbers by multiplying numerators and denominators with each other. So, you have
![\dfrac{a}{b} \times \dfrac{c}{d} = \dfrac{ac}{bd}](https://tex.z-dn.net/?f=%20%5Cdfrac%7Ba%7D%7Bb%7D%20%5Ctimes%20%5Cdfrac%7Bc%7D%7Bd%7D%20%3D%20%5Cdfrac%7Bac%7D%7Bbd%7D%20)
A rational number is a fraction where both numerator and denominator are integers. Since the product of two integers is an integer, the result fraction is also a rational number, because both
and
are integers.
Answer: 3 equal sides a 3 vertices
Step-by-step explanation: