Answer:
$3,000 was invested in the account that gained 13%
$17,500 was invested in the account that lost 10%
Step-by-step explanation:
Let the amount in both accounts be x and y
x for the first and y for the second
Adding both is 20,500
x + y = 20,500 •••••(i)
First account earned 13% profit
= 13/100 * x = 0.13x
Second account, a loss of 10%
= -10/100 * y = -0.1y
Total loss of -1,360
This is;
-0.1y + 0.13x = -1,360 •••••••(ii)
From i, x = 20,500-y
Insert this into ii
-0.1y + 0.13(20,500-y) = -1,360
-0.1y + 2665 -0.13y = -1360
-0.23y = -1360-2665
-0.23y = -4025
y = -4025/-0.23
y = 17,500
To get x, we have
x = 20,500 -y
x = 20,500- 17,500
x = 3,000
No because when you variables (with exponents) you add the exponents together.
x^3 • x^3 • x^3 = x^(3+3+3) = x^9
Let’s plug in a number for x to make sure this is correct.
x = 2
2^3 • 2^3 • 2^3 = 8 • 8 • 8 = 512
2^9 = 512
Answer:
the second one
Step-by-step explanation:
Answer:
16.2
Step-by-step explanation:
Tan(angle)=opposite/ adjacent
Angle= 45
Opposite side= x
Adjacent side =10
Substitute into equation: tan(45) = x/ 10
Rearrange (multiply each side by 10): 10 x tan(45) = x
Then work it out on calculator
Answer:
B y=1/4x-2
Step-by-step explanation:
in y = mx + b
the b is the y intercept. this is where the line cuts through the y axis. you can see that it is going through the y axis at -2.
now look for your slope. I use rose over run. you can see that the line intersects at (4,-1)
"rise" is how far up or down to your next point."run" is how far left your right your next point is. in this case, the next point is 1 up and 4 to the right of a point. this translates to 1/4. this is a positive slope because your line goes upwards from left to right.