Area of fountain is 147.58 and area of path is 28.26
The amount of money that Jordan will earn at the end of 10 years = $12,587.5
<h3>Calculation of compounded interests</h3>
The principal amount invested(P) = $9,500
The annual compounded daily interest rate(R) of the account = 3.25%
The time given (T) = 10 years
Simple interest (SI) = P×T × R/100
SI = 9,500×10×3.25/100
SI= 308750/100
SI= $3087.50
Therefore the total amount that would be in the account after 10 years = $9,500 + $3,087.50
= $12,587.5
Learn more about compound interest here:
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The total number of stickers :
Page 1 : 28
Page 2 : 24
Page 3 : 72
Page 4 : 48
<h3>Further explanation
</h3>
There are several properties in integer multiplication operations
Multiplication between integers will produce integers too
a x b = b x a
ax (bxc) = (axb) xc
ax1 = 1 x a = a
* addition
ax (b + c) = axb + axc
* substraction
ax (b-c) = axb - axc
We can use facts to solve multiplication problems
for example :
6 x 7 = (5 x 7) + ( 1 x 7) = 42
we can break facts with 6 into 5s and 1s facts from multiplication above
julia puts her stickers into arrays in an album
From picture (attached) we can find the total number of stickers on each page with 1s,2s,3s and 5s facts
- Page 1 : 4 x 7 = (2 x 7) + ( 2 x 7) = 14 + 14 = 28
- Page 2 : 4 x 6 = (1 x 6) + (3 x 6) = 6 + 18 = 24
- Page 3 : 8 x 9 = ( 3 x 9) + (5 x 9) = 27 + 45 = 72
- Page 4 : 8 x 6 = (3 x 6) + (5 x 6) = 18 + 30 = 48
<h3>Learn more</h3>
the multiplicative identity property
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Keywords : stickers, arrays, album, page, Julia
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Answer:
Either one of these.
Step-by-step explanation:
volumepile=1/3 (PI r^2)h
but r=h/2, so
volume=1/12 PI h^3
dv/dt=10 ft^3/min
but dv/dt=1/12 PI 3h^2 dh/dt
solve for dh/dt
This assumes you mean by "altitude" the height. If you mean altitude as slant height, you have to adjust the fromula
_______________________________________________
given: r = h/2
V = (1/3)π r^2 h
= (1/3)π (h/2)^2 (h)
= (1/12) π h^3
dV/dt = (1/4)π h^2 dh/dt
for the given data ...
10 = (1/4)π(25)dh/dt
dh/dt = 10(4)/((25π) = 1.6/π feet/min