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vitfil [10]
3 years ago
5

$800 principal earning 7%, compounded annually, after 4 years

Mathematics
1 answer:
Jlenok [28]3 years ago
6 0

Answer:

$1050

Step-by-step explanation:

<h2><u>formula for compound interest method:</u></h2>

A = P ( 1 + r/100)^n

A is actual amount

r is the rate of interest

P is the principle

n is the number of years

A = 800 (1 * 7/100)^4

= 1048.637

to 3sf = <u>$1050</u>

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3 years ago
Select all the ratios equivalent to 16/14<br>24:21<br>32:28<br>21:7​
pashok25 [27]

Answer:

First and second. 24:21, 32:28

Step-by-step explanation:

Just do it. Hope I helped you!;)

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Which is the best estimate of the mass os a basketball
Hatshy [7]
5 or 6 pounds  because there not that heavy 
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Segment AB is rotated to form ​ A'B'¯¯¯¯¯¯¯ ​. The coordinates of point A are (1, 5) and the coordinates of point B are (−6, 4)
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Help please:))
Blababa [14]

Answer:

a) Because this asks about the radius and height, I assume that we are talking about a cylinder shape.

Remember that for a cylinder of radius R and height H the volume is:

V = pi*R^2*H

And the surface will be:

S = 2*pi*R*H + pi*R^2

where pi = 3.14

Here we know that the volume is 1000cm^3, then:

1000cm^3 = pi*R^2*H

We can rewrite this as:

(1000cm^3)/pi = R^2*H

Now we can isolate H to get:

H = (1000cm^3)/(pi*R^2)

Replacing that in the surface equation, we get:

S = 2*pi*R*H + pi*R^2

S = 2*pi*R*(1000cm^3)/(pi*R^2) + pi*R^2

S = 2*(1000cm^3)/R + pi*R^2

So we want to minimize this.

Then we need to find the zeros of S'

S' = dS/dR = -(2000cm^3)/R^2 + 2*pi*R = 0

So we want to find R such that:

2*pi*R = (2000cm^3)/R^2

2*pi*R^3 = 2000cm^3

R^3 = (2000cm^3/2*3.14)

R = ∛(2000cm^3/2*3.14) = 6.83 cm

The radius that minimizes the surface is R = 6.83 cm

With the equation:

H = (1000cm^3)/(pi*R^2)

We can find the height:

H = (1000cm^3)/(3.14*(6.83 cm)^2) =  6.83 cm

(so the height is equal to the radius)

b) The surface equation is:

S = 2*pi*R*H + pi*R^2

replacing the values of H and R we get:

S = 2*3.14*(6.83 cm)*(6.83 cm) + 3.14*(6.83 cm)^2 = 439.43 cm^2

c) Because if we pack cylinders, there is a lot of space between the cylinders, so when you store it, there will be a lot of space that is not used and that can't be used for other things.

Similarly for transport problems, for that dead space, you would need more trucks to transport your ice cream packages.

3 0
3 years ago
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