Step-by-step explanation:
the slope is the ratio "y coordinate difference / x coordinate difference".
so,
(2 - 6) / (x - 2) = 4/7
-4 / (x - 2) = 4/7
-1 / (x - 2) = 1/7
-1 / (x - 2) = 1 / -(x - 2) = 1/7
-(x - 2) = 7
-x + 2 = 7
-x = 5
x = -5
so, the point is (-5, 2)
From the equation
![{x}^{2} - 10x + 25 = 0](https://tex.z-dn.net/?f=%20%7Bx%7D%5E%7B2%7D%20%20-%2010x%20%2B%2025%20%3D%200)
We can see that 25 is 5 × 5, and 10 is 5 + 5, so the equation simplifies to
![(x - 5)(x - 5) = 0 \\ {(x - 5)}^{2} = 0](https://tex.z-dn.net/?f=%28x%20-%205%29%28x%20-%205%29%20%3D%200%20%5C%5C%20%20%7B%28x%20-%205%29%7D%5E%7B2%7D%20%20%3D%200)
which then we use to set each parentheses to equal 0
![(x - 5) = 0 \\ x = 5](https://tex.z-dn.net/?f=%28x%20-%205%29%20%3D%200%20%5C%5C%20x%20%3D%205)
Since both parentheses are the same, there is only one solution: C. 1 real number solution
Answer:
65kg
Step-by-step explanation:
Answer:
The account balance will be $2,614.16 after 10 years ⇒ D
Step-by-step explanation:
The formula for compound interest, including principal sum is:
, where
- <em>A</em> is the future value of the investment/loan, including interest
- <em>P</em> is the principal investment amount
- <em>r</em> is the annual interest rate (decimal)
- <em>n</em> is the number of times that interest is compounded per unit t
- <em>t</em> is the time the money is invested or borrowed for
Let us use this rule to solve the question
∵ Ted invests $1,077 in a savings account with a fixed annual interest
rat 9% compounded three times per year
∴ P = 1,077
∴ <em>r </em>= 9% =
= 0.09
∴ <em>n</em> = 3 ⇒ three times per year
∵ The time is ten years
∴ <em>t </em>= 10
Substitute these values in the rule above to find <em>A</em>
∵ ![A=1077(1+\frac{0.09}{3})^{3(10)}](https://tex.z-dn.net/?f=A%3D1077%281%2B%5Cfrac%7B0.09%7D%7B3%7D%29%5E%7B3%2810%29%7D)
→ Use your calculator to find the answer
∴ <em>A </em>= 2,614.161681
→ Round it to the nearest cent (2d.p.)
∴ <em>A</em> = $2,614.16
∴ The account balance will be $2,614.16 after 10 years.