Answer:
Amount after 15 years = $27,406.45 (Approx.)
Step-by-step explanation:
Given:
Amount invested p = $8,353
Rate r = 8% = 0.08/4 = 0.02 per year (4 times)
Number of interest compounded n = 15 year x 4 = 60 times
Find:
Amount after 15 years
Computation:
A = p[1+r]ⁿ
Amount after 15 years = 8,353[1+0.02]⁶⁰
Amount after 15 years = 8,353[1.02]⁶⁰
Amount after 15 years = $27,406.45 (Approx.)
We make a drawing to find the relationship between the angle and the sides
given
dh/dt=4m/sec
we get
tan(x)=h/40
where x is the angle and h is the height
take the derivitive of both sides
1/cos²(x)(x)dx/dt=
![\frac{h'40-0}{40^2}](https://tex.z-dn.net/?f=%20%5Cfrac%7Bh%2740-0%7D%7B40%5E2%7D%20)
1/cos²(x)dx/dt=
![\frac{h(dh/dt)40}{1600}](https://tex.z-dn.net/?f=%20%5Cfrac%7Bh%28dh%2Fdt%2940%7D%7B1600%7D%20)
1/cos²(x)dx/dt=
![\frac{h(dh/dt)}{40}](https://tex.z-dn.net/?f=%20%5Cfrac%7Bh%28dh%2Fdt%29%7D%7B40%7D%20)
solve for dx/dt
times both sides by cos²(x)
dx/dt=
![\frac{h(dh/dt)cos²(x)}{40}](https://tex.z-dn.net/?f=%20%5Cfrac%7Bh%28dh%2Fdt%29cos%C2%B2%28x%29%7D%7B40%7D%20)
remember that dh/dt=4
also, solve for the angle at that time
h=40 and base=40 so x=45 degrees (pi/4 radians)
input that
dx/dt=
![\frac{4cos²(x)}{40}](https://tex.z-dn.net/?f=%20%5Cfrac%7B4cos%C2%B2%28x%29%7D%7B40%7D%20)
dx/dt=
![\frac{cos²(x)}{10}](https://tex.z-dn.net/?f=%20%5Cfrac%7Bcos%C2%B2%28x%29%7D%7B10%7D%20)
dx/dt=0.05
A is the answer
Answer:
he can expect to make 180 shots out of 200
Step-by-step explanation:
Hope this helps Love
LUV YA
Total amount = 23890
Co- payment =20% of total amount
So (20/100)( 23890)
20% of 23890 = 4778
Answer is 4778
Solution is also given in attachment below