Answer:
The answer is option (C), T = 100 • 0.1 • 10
Step-by-step explanation:
Total interest (T) earned after a 10 years can be expressed as;
Total interest (T)=Principal amount×interest rate×Number of years
where;
Total interest=T
Principal amount=$100
Interest rate=10%=10/100=0.1
Replacing;
T=100×0.1×10
The equation for calculating the total interest amount after 10 years can be written as;
T = 100 • 0.1 • 10
Answer: f(x) = -3x + 1
So the slope is -3 and the y-intercept is 1
Step-by-step explanation:
This is because it’s across the y-axis so the y-intercept doesn’t change. Because it’s a reflection the slope just becomes the opposite of what it originally was, so in this case it will be -3
Answer:
this is simplify 1/16 x4 y4
The first thing you want to do is plug in x and y into both equations:
a(3) + b(4) = 4
b(3) + a(4) = 8
rearrange to line up a’s and b’s
3a + 4b = 4
4a + 3b = 8
now you want to choose a or b and multiply each equation by a number to make them have the same amount of a’s or b’s.
4(3a + 4b = 4) = 12a + 16b = 16
3(4a + 3b = 8) = 12a + 9b = 24
Now we subtract the bottom equation from the top and solve for b:
12a + 16b - (12a + 9b) = 16 - 24
7b = -8
b = -8/7
Now we plug back in for b to one of the original equations:
3a + 4(-8/7) = 4
3a + (-32/7) = 4
3a - (32/7) = 4
3a = 4 + (32/7)
3a = (28/7) + (32/7)
3a = 60/7
a = (60/7)/3 = 20/7.
Finally, plug a and b in together to double check using the second equation.
4a + 3b = 8
4(20/7) + 3(-8/7) = ?
(80/7) - (24/7) = ?
56/7 = 8.
-5x - 15 > 10 + 20x / + 15
-5x > 25 + 20x / - 20x
-25x > 25 / ÷ ( -25 )
x < - 1
