Answer:
1300 and 700 respectively.
Step-by-step explanation:
Let x be invested in first account and y be invested in second account.
ATQ, x+y=2000 and 101=(4)*x/100+7*y/100. Solving it will give us x=1300 and y=700
Answer:
Each fraction is greater than the previous fraction.
Step-by-step explanation:
Every statement is true except, the one that says "Each fracton is greater than the previous fraction." This statement is not true. I know it looks like it, but let's think about it. Each fraction is equivalent to 2/3, which means they are technically equal to each other. So that means that each fraction is not greater than the previous one. This means that the statement "Each fraction is equal to the previous fraction in the pattern multiplied by 2/2" is a true statement.
2/3 x 2/2 = 4/6
4/6 x 2/2 = 8/12
8/12 x 2/2 = 16/24
16/24 x 2/2 = 32/48
So that means that the next fraction in the pattern is indeed 32/48, making the last statement true.
I believe this is true....lets say the plane takes off and goes up 500 ft.....it circles, but then it has to come back down...land...so it comes down 500 ft...
500 - 500 = 0
Answer:
x = 4
y = -3
Step-by-step explanation:
We can use substitution, elimination, or graphically.
Step 1: Rearrange first equation
2x + 4y = -4
2x = -4 - 4y
x = -2 - 2y
Step 2: Rewrite systems of equations
x = -2 - 2y
3x + 5y = -3
Step 3: Substitution
3(-2 - 2y) + 5y = -3
-6 - 6y + 5y = -3
-6 - y = -3
-y = 3
y = -3
Step 4: Find <em>x</em> using <em>y</em>
2x + 4(-3) = -4
2x - 12 = -4
2x = 8
x = 4
Graphically:
Use a graphing calc and analyze where the 2 lines intersect.
Answer:
y = x³ + 2x² - 13x + 10
Step-by-step explanation:
Given
y = (x + 5)(x - 1)(x - 2) ← expand (x - 1)(x - 2)
= (x + 5)(x² - 2x - x + 2)
= (x + 5)(x² - 3x + 2)
Multiply each term in the second factor by each term in the first factor
= x(x² - 3x + 2) + 5(x² - 3x + 2) ← distribute both parenthesis
= x³ - 3x² + 2x + 5x² - 15x + 10 ← collect like terms
y = x³ + 2x² - 13x + 10
