Answer:
Tina's average speed for the whole journey = 56 kmph
Step-by-step explanation:
Time taken by Sean to travel from Town A to Town B = 4 hours.
Average speed of Sean = 70 km/h
We have equation of motion, s = ut + 0.5 at²
Time, t = 4 hours.
Initial speed, u = 70 km/hr
Acceleration, a = 0 m/s²
Substituting
s = ut + 0.5 at²
s = 70 x 4 + 0.5 x 0 x 4²
s = 280 km
Distance from Town A to Town B = 280 km
Tina took 1 hour more than Sean.
Time taken by Tina to travel from Town A to Town B = 4 +1 = 5 hours
We have equation of motion, s = ut + 0.5 at²
Time, t = 5 hours.
Displacement, s = 280 km
Acceleration, a = 0 m/s²
Substituting
s = ut + 0.5 at²
280 = u x 5 + 0.5 x 0 x 5²
u = 56 km/hr
Tina's average speed for the whole journey = 56 kmph
Answer: The annual interest rate is 1.06%
Step-by-step explanation: This is a simple interest computation.
The formular for a simple interest is given as;
I = (P ×R × T)/100
Where I represents the interest paid,
P represents Principal borrowed at the beginning
R represents the rate at which the interest is calculated
T represents the Time measured in number of years
If the interest is calculated as I = (P×R×T)/100, we should first of all make R the subject of the formular;
Multiply both sides by 100
100I = P×R×T
Divide both sides of the equation by P and T
(100I)/(P × T) = R
Now we can insert the values into the rearranged formular
(100 × 143)/(4500 × 3) = R
14,300/13,500 = R
143/135 = R
1.0592592593 = R
Therefore, R which is the rate of interest equals approximately 1.06%
Answer:
y= -3
Step-by-step explanation:
(-7/2)y =21/2
Divide both sides by (-7/2) = Multiply by (-2/7)
On the left side ,after cancellation you have only y
On the right side you multiply 21/2 by (-2/7)
y= (21*-2) / 2*7
y=(-42)/14
y=(-21)/7
y=- 3
check:
-(7/2) of- 3 is 10.5 21/2=10.5
The answer is $246.73 Just for whoever is trying to pass those Apex tests!
