And...? I can’t answer that question, there isn’t enough information
Answer:
$482.11 in interest
Step-by-step explanation:
Use the compound amount formula. Calculate the compound amount and then subtract the principle to find the amount of interest earned.
A = P(1 + r)^t, where r is the interest rate as a decimal fraction
This becomes:
A = $575(1 + 0.07)^9, or A = $1057.11.
Subtracting the principal: A - P: $1057.11 - $575 = $402.11
If x is the age and y is the diameter of the trunk, write the equation:
ax+b=y
We must solve for a and b with the given information.
If (x, y) is (1, 4), we have:
a+b=4
If (x, y) is (10, 25), we have:
10a+b=25
Multiply the first equation by 10 to get:
10a+10b=40
Subtract the second equation from this to get:
9b=25
Thus b=25/9. a=4-25/9=11/9, so our equation is 11x/9+25/9=y.
Answer:
Step-by-step explanation:
1. Find two numbers that add to make the coefficient of x (in this case, -5) and that multiply to make the constant term multiplied by the coefficient of x^2 (in this case, -2 x 3 = -6)
Two numbers that work are -6 and +1
-6 x +1 = -6
-6 + -1 = -5
2. Split the middle term into the two numbers that you found.
3x^2 -6x +x -2 = 0
I've put the -6 on the left side because in our next step, when we factorise, it will be easier than having the numbers the other way around.
3. Factorise the left side by taking out common factors from each pair. The pairs I'm talking about here are '3x^2 and -6x', and 'x and -2'
3x (x-2) +1 (x-2) = 0
4. You now have two numbers both being multiplied by the term x-2. We can rearrange this equation to give us two brackets being multiplied by each other.
(3x + 1) (x-2) = 0
5. According to the Null Factor Law, if two terms are multiplied together and the result is 0, then one of those terms must be 0. Make both terms equal to 0 and solve each for x.
3x + 1 = 0 x-2 = 0
3x = -1 x = 2
x = -1/3
6. The solutions to this equation are x = 2 and x = -1/3
