Answer:
y=t−1+ce
−t
where t=tanx.
Given, cos
2
x
dx
dy
+y=tanx
⇒
dx
dy
+ysec
2
x=tanxsec
2
x ....(1)
Here P=sec
2
x⇒∫PdP=∫sec
2
xdx=tanx
∴I.F.=e
tanx
Multiplying (1) by I.F. we get
e
tanx
dx
dy
+e
tanx
ysec
2
x=e
tanx
tanxsec
2
x
Integrating both sides, we get
ye
tanx
=∫e
tanx
.tanxsec
2
xdx
Put tanx=t⇒sec
2
xdx=dt
∴ye
t
=∫te
t
dt=e
t
(t−1)+c
⇒y=t−1+ce
−t
where t=tanx
The money in the Felix's account will be $6798 when he is 21.
<u>Step-by-step explanation:</u>
It is given that,
- The amount deposited is $2000.
- The account earns 6% compound interest.
- It is compounded annually for 21 years.
<u>To find the money in Felix's account after 21 years :</u>
The formula used here is,
⇒
where A is the amount after 21 years.
- P is the initial amount deposited ⇒ P = 2000
- r is the rate ⇒ r = 0.06
- n is the number of times interest is compounded per year⇒ n = 1
- t is the time period ⇒ t = 21
⇒
⇒
⇒
⇒
Therefore, The money in the Felix's account will be $6798 when he is 21.
We can convert that into a fraction of 100 for the percentage.
4/20= 20/100
(multiply both by 5)
So, the basketball player makes 20% of the throws.
I hope this helps!
~kaikers
Put 7 random dot on a graph , wat shape does it make?
Formula for a circle: A=Pi*r^2
Diameter:2ft
Radius:1ft
A=3.14*1^2
A=3.14
Multiply by 4
4 squares=12.56ft squared
Formula for a square: A=s^2
A=4^2
A= 16ft squared
To find leftover you need to subtract 12.56 ft from 16 ft to get 3.44 ft squared(A).