Answer:
Step-by-step explanation:
1/4 and 2/5
4×5=20
<span>nt the amount he still has to save to be able to buy the stereo, where a represents the amount still left to save.
</span><span><span>Ask for details </span> <span>Follow </span> Report</span> <span>by <span>Rrameriz </span><span>2 minutes ago</span></span>
The answer is letter B. This is through using the formula of compound interest which is divided in quarterly. This means the number of months are only 3. SO compound interest is equal to Principal amount(1+rate/number of months)^number of months x time. This will give you the answer of <span>$3,081.54.</span>
Answer:
14 plants.
Step-by-step explanation:
Answer:
![\boxed{\sf Instantaneous \ velocity \ (v) = -3}](https://tex.z-dn.net/?f=%20%5Cboxed%7B%5Csf%20Instantaneous%20%5C%20velocity%20%5C%20%28v%29%20%3D%20-3%7D%20)
Given:
Relation between position of an object at time t is given by:
s(t) = -9 - 3t
To Find:
Instantaneous velocity (v) at t = 8
Step-by-step explanation:
To find instantaneous velocity we will differentiate relation between position of an object at time t by t:
![\sf \implies v = \frac{d}{dt} (s(t))](https://tex.z-dn.net/?f=%20%5Csf%20%5Cimplies%20v%20%3D%20%20%5Cfrac%7Bd%7D%7Bdt%7D%20%28s%28t%29%29)
![\sf \implies v = \frac{d}{dt} ( - 9 - 3t)](https://tex.z-dn.net/?f=%20%5Csf%20%5Cimplies%20v%20%3D%20%20%5Cfrac%7Bd%7D%7Bdt%7D%20%28%20-%209%20-%203t%29)
Differentiate the sum term by term and factor out constants:
![\sf \implies v = \frac{d}{dt} ( - 9) - 3 (\frac{d}{dt} (t))](https://tex.z-dn.net/?f=%20%5Csf%20%5Cimplies%20v%20%3D%20%20%5Cfrac%7Bd%7D%7Bdt%7D%20%28%20-%209%29%20-%203%20%28%5Cfrac%7Bd%7D%7Bdt%7D%20%28t%29%29)
The derivative of -9 is zero:
![\sf \implies v = - 3( \frac{d}{dt} (t)) + 0](https://tex.z-dn.net/?f=%20%5Csf%20%5Cimplies%20v%20%3D%20%20-%203%28%20%5Cfrac%7Bd%7D%7Bdt%7D%20%28t%29%29%20%2B%200)
Simplify the expression:
![\sf \implies v = - 3( \frac{d}{dt} (t))](https://tex.z-dn.net/?f=%20%5Csf%20%5Cimplies%20v%20%3D%20%20-%203%28%20%5Cfrac%7Bd%7D%7Bdt%7D%20%28t%29%29)
The derivative of t is 1:
![\sf \implies v = - 3 \times 1](https://tex.z-dn.net/?f=%20%5Csf%20%5Cimplies%20v%20%3D%20%20-%203%20%20%5Ctimes%201)
Simplify the expression:
![\sf \implies v = - 3](https://tex.z-dn.net/?f=%20%5Csf%20%5Cimplies%20v%20%3D%20%20-%203%20%20)
(As, there is no variable after differentiating the relation between position of an object at time t by t so at time t = 8 is of no use.)
So,
Instantaneous velocity (v) at t = 8 is -3