Answer: $12000 was invested at 7% while $8000 was invested at 9%.
Step-by-step explanation:
Based on the information given in the question, let the amount that was invested at 7% be n.
Therefore,
0.07n + 0.09(20000 - n) = 1560
0.07n + 1800 - 0.09n = 1560
-0.02n = 1560 - 1800
-0.02n = -240
n = 240/0.02
n = 120
Therefore, $12000 was invested at 7% while $8000 was invested at 9%.
You can solve all of these by using the distance formula. I have shared it below.
2 Answers: Choice B and Choice C
The rate of change is 2.
The rate of change is constant.
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Explanation:
The first point on the left is when x = 1.5 and it has a height of y = 1
The point (1.5, 1) is on the line.
So is the point (3,4) for similar reasoning.
Compute the slope between those points
m = (y2-y1)/(x2-x1)
m = (4-1)/(3-1.5)
m = 3/(1.5)
m = 2
The slope is 2, which is the same as saying the rate of change is 2. This only applies when x > 1 of which the interval 1.5 ≤ x ≤ 3 is a part of.
Since the slope stays at 2 on the interval 1.5 ≤ x ≤ 3, this means we consider the slope to be constant. If the curve bended at all on this interval, then it wouldn't be a constant slope.
The vehicle be able to cover the full distance of 340km with on petrol tank if the petrol usage is 14 km/1.
Since the vehicles petrol tank has a capacity of 40 litres and the bvehicles wants to cover a distance of 340 with a pertol usage of 14 km/l.
We need to determine if the petrol in the tank will be enough to cover that distance.
<h3>Distance</h3>
So, distance = petrol usage × volume of tank
Since
- petrol usage = 14 km/l and
- volume of tank = 40 l,
Substituting the values of the variables into the equation, we have
distance = petrol usage × volume of tank
distance = 14 km/l × 40 l
distance = 560 km
Since the distance covered = 560 km which is greater than 340 km, the vehicle will be able to cover the full distance.
So, the vehicle be able to cover the full distance of 340km with on petrol tank if the petrol usage is 14 km/1.
Learn more about distance here:
brainly.com/question/10428039
Answer:
X is 38, y is 27.
Step-by-step explanation:
This is because you are subtracting on the 90 degree angles.
