Answer:
T = 530N + 250
Step-by-step explanation:
For the first plan, Heather will deposit $250 and then save $135 per month.
So, that is 250 + (135 x N) where N is the number of months she saves the $135.
So if it is for 3months,
We will have:
t¹ = 135N + 250
= 250 + (135 x 3)
= 250 + 405
= $655
For the second plan, there is no initial deposit, but she will save $395 per month.
That is 395 x N
t² = 395N
For 3months, we have 395 x 3 = $1185
Therefore the total for both plans in 3months = 655 + 1185 = $1840
Equation relating T to N
T = t¹ + t²
T = (135N + 250) + 395N
T = 135N + 250 + 395N
T = 530N + 250
Answer:
1) yes
2) no
3) yes
4)no
5)no
Step-by-step explanation:
Answer:
2244 cm
Step-by-step explanation:
The first first thing we must do is find the LCM of the following numbers
(51; 68) = 204.
This means that the first time they coincide is at 204.
Now, since his steps always coincide after 204
In Nick's case
Nick's 204 ÷ 51 = 4th step
and in the case of the father
204 ÷ 68 of his father = 3rd step.
Which means that in the 204 cm distance, there will be a total of 6 foot steps, except in the first 204 cm when your "initial" step is counted.
Replacing these values we have that the total distance will be:
67-1 (initial step) / (6 * 204) = 2244 cm
The object compresses the spring up to 0.8577m.
<h3>What is Potential Energy?</h3>
Potential Energy is the energy possessed by an object at rest.
The object is falling from the rest and it is assumed that the friction on the ramp is zero and the air resistance is also considered to be zero so only the gravitational force acts and the total potential energy gets converted to Kinetic Energy.
The total amount of potential energy at the top of the ramp is given by
Ep=mgh
Ep=3 * 9.81 *5
Ep=147.15 Joules
This is equal to kinetic energy.
From the formula for elastic potential energy
The distance up to which the spring is compressed is determined
The force constant = 400N/m
147.15 =(1/2)k(x²)
294.3=(400)(x²)
0.73575=x²
x=0.8577 m
So, the object compresses the spring up to 0.8577m.
- When the object compresses the spring, the potential energy of the spring is converted into Kinetic Energy so it will push the object back again.
To know more about Potential Energy
brainly.com/question/24284560
#SPJ1
