Part A.
What we can do to solve this problem is to assume that
the acceleration of Bryan is constant so that the velocity function is linear.
The standard form of a linear function is in the form:
y = m x + b
or in this case:
v = m t + b
where v is velocity and t is time, b is the y –intercept of
the equation
The slope m can be calculated by:
m = (v2 – v1) / (t2 – t1)
m = (12 – 15) / (7 – 4)
m = -1
Since slope is negative therefore this means the cyclist
are constantly decelerating. The equation then becomes:
v = - t + b
Now finding for b by plugging in any data pair:
15 = - (4) + b
b = 19
So the complete equation is:
v = - t + 19
This means that the initial velocity of the cyclists at t
= 0 is 19 km / h.
Part B. What we can do to graph the equation is to
calculate for the values of v from t = 0 to 12, then plot all these values in
the Cartesian plane then connect the dots.
$115,850 (70%*$165,500) is the cost for the land and $49,650 (30%*$165,500) represents the cost for the building. The total cost for the land and the building is represented by the equation $165,500 (150,000 + [7%*$150,000] + $5000). The company must gain (70% and 30%) by dividing each of the values by the total value (($87,500+$35,000)/($87,500+$35,000+$52,500)for land; $52,500/($87,500+$35,000+$52,500) for building.
Here a right angled triangle given. We know that one angle of a right angled triangle is 90°.
As the sum of three angles of a triangle is 180°, so we can say the sum of other two angles of a right angled triangle is (180-90)° = 90°.
Here in the figure the other two angles given 
and 
. Sum of these two angles is 90°.
So we can write the equation as,
We have to remove the parenthesis now.
Now we will add the like terms. Here x and 2x are like terms. By adding them we will get,
To solve it for x, now we have to move 15 to the other side by subtracting it from both sides.
Now to get x, we have to move 3 to the other side, by dividing it to both sides.
We have got the required value of x.
The solution is x= 25.
Answer:
The sale price of the item is $
255
Step-by-step explanation:
To determine the amount of discount (
d
) offered by the store, we calculate
15
% of the sale price. Thus:
d = 300 × 15
÷ 100
d = 3
00 × 15 ÷ 1
00 (take the 2 zeros out on both the hundred and 3 hundred)
d = 3 × 15
d = 45
If the amount of discount is known, the sale price (
s
) of the item will be the regular price minus the discount. Hence:
s = 300 − 45
s = 255
Hope this helps you! If not sorry!
