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ss7ja [257]
2 years ago
6

I need help with questions 3 and 4

Mathematics
1 answer:
nlexa [21]2 years ago
6 0

Step-by-step explanation:

3)

7billion = 5 {e}^{15r} \\ 1.4billion =  {e}^{15r}  \\ ln(1.4 \: billion) = 15r \\ 21.0597 = 15r \\ r = 1.404

4) \\  t = 0  \: y= 200 \\200 = a {e}^{0}  \\ a = 200 \\ 800 = 200 {e}^{8k}  \\ 4 =  {e}^{8k}  \\ ln(4) = 8k \\ k = 0.1733

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Solve the following dividend problem
slamgirl [31]

Answer:

Dividend per share of stock

$0.6667

Your share of the declared dividend if you owned 100 shares

$66.67

Step-by-step explanation:

To determine the dividend per share of stock we simply divide the declared dividend by the number of shares of stock outstanding;

\frac{40000}{60000}=$0.6667

This implies that for every share of stock an individual is entitled to a dividend of $0.6667. Consequently, for 100 shares the dividend will be equal to;

0.6667(100)=66.67

5 0
3 years ago
What, roughly, is the percent uncertainty in the volume of a spherical beach ball whose radius is r = 2.86 plus or minus .09 m?
Aleksandr-060686 [28]
The volume of a sphere is calculated through the equation,
  
       V = 4πr³ /3
where r is the radius of the given. 

If the radius is 2.86, we can substitute the value to the equation above such that,
         V = 4π(2.86)³ / 3 = 97.99π m³

When the radius is 0.09 m plus the given radius then,
       V = 4π(2.86 - 0.09)³ / 3 = 89.03π m³

The difference between the volumes is equal to,
       difference = 97.99π - 89.03π m³ = 8.96π m³

Dividing this to the original volume and multiplying by 100%,
    percentage = (8.96π/97.99π) x 100% 
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Hence, the expected percent uncertainty is equal to 9.14%. 
3 0
3 years ago
What is the midpoint of a line segment with endpoints at (3,-1) and (8, -4)?
8090 [49]

Answer:

Step-by-step explanation:((\frac{3+8}{2} ,\frac{-1-4}{2} )\\\\(\frac{11}{2} ,\frac{-5}{2} )

5 0
3 years ago
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Can someone explain how to do this
Cloud [144]
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4 0
3 years ago
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MaRussiya [10]

Answer:

Step-by-step explanation:

The new bike costs 180 dollars

Parents paid 40%

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parents paid 180 *40/100=180*0.4=72 dollars

Jennifer has to pay the rest

180-72=108

4 0
2 years ago
Read 2 more answers
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