Answer:
<em>a. $42,572 at 2%, </em>
<em>b. $35,559 at 5% </em>
<em>c. $29,702 at 8% </em>
Step-by-step explanation:
The formula used for FV calculation for Continuous Compounding is as under:
Where,
FV = Future Value = $8000 each year (At the end of 6 years = $8000 x 6 = $48,000)
PV = Present Value
e = Mathematical Constant = 2.713
i = Interest Rate
t= time in years
a) For 2%:
b) For 5%:;
c) For 8%:
Note: <em>Investing $42,572 at 2%, $35,559 at 5% and $29,702 at 8% today will get $48,000 at the end of 6 years. </em>
Answer: b
Step-by-step explanation:
You know the formula of a triangle is: (base*height)/2
So: 4*8=32
32/2=16cm^2
Since its a parallelogram, you could say that there are two of these triangles, so: 16*2=32cm^2
Now we're left with the part in the middle. The sides are now 8 by 8 because we took away 4 from 12, so: 8*8= 64cm^2
Now you just add all your values together, so: 32+64=96cm^2
Step-by-step explanation:
a.)Buying: total cost
Total cost= commission + (price per share× Number of of shares ) ;
Total cost= 11 + (19.72×30)= $591.6+11= $601.6
b.)Net gain or loss;
First, find cash received from sale of stock and deduct commission;
Cash from sale =20.75×30= $ 622.5
deduct commission= 622.5-11= $611.5
Gain or loss= sale-cost = 611.5-601.6 = $9.9, meaning there is a profit.
c.) Annual rate of return= (net gain or loss/amount paid)×100%
return= 9.9/(601.6)×100 = 1.645%
To solve the problem shown above, you must apply the proccedure shown below:
1. You must use tthe formula for calculate the volume of a sphere, which is:
V=4πr³/3
V is the volume of the sphere.
r is the radius of the sphere (r=3.5 inches)
2. When you susbstitute these values into the formula shown above, you obtain the volume of the sphere. Therefore, you have:
V=4πr³/3
V=4π(3.5 inches)³/3
3. Therefore, the answer is:
V=179.5 inches³
24+16=40
100/40=2.5
2.5 x 16 = 40
40% of the flowers are yellow
Hope this helps
