It will take 2 years.
Year 1 :
4% 2.5k = 2.5k/100 × 4 = $100 in interest
$2.5k + $0.1k = $2.6k
Year 2 :
4% 2.6k = 2.6k/100 × 4 = $104 in interest
$100 + $104 = $204 > $200
There may be a simpler way to solve this using a formula for example, but I just solved this step by step. Please feel free to ask if you have any questions
Answer:
The factorized expression is (-5) × (t - 2.747) ×(t - 1.747)
Step-by-step explanation:
The given expression is -5·t² + 5·t + 24
To factorize the expression by completing the square method, we equate the expression to zero to get;
-5·t² + 5·t + 24 = 0
WE divide by -5 to get;
t² - t - 24/5 = 0
t² - t = 24/5
t² - t + 1/4 = 24/5 + 1/4
(t - 1/2)² = 5.05
t - 1/2 = ±√5.05
t = 1/2 + √5.05, 1/2 - √5.05
The factorized expression becomes;
(t - 1/2 + √5.05) and (t - 1/2 - √5.05)
Which gives;
(t - 2.747) ×(t - 1.747)
The factorized expression is (-5) × (t - 2.747) ×(t - 1.747).
Answer:
$4600
Step-by-step explanation:
$3000 to pay off the car + $1600 to repaint the kitchen = $4600 owed on the home equity line of credit
Answer: (D) <em>bottom right graph</em>
<u>Step-by-step explanation:</u>
The vertex form of a quadratic equation is: f(x) = a(x - h)² + k, where
- (h, k) is the vertex
- |a| is the vertical stretch
- sign of "a" determines the direction of the parabola
Given g(x) = (x - 3)² - 5
- vertex (h, k) = (3, -5)
- vertical stretch |a| = 1
- sign of "a" is positive so parabola points up
The only graph that satisfies all of these conditions is the bottom right.
The height of the telephone pole = 9 / 1.5 = 6 meters
