4/50 as a decimal is .08
Divide 4 by 50
Multiply both sides of the second equation by 100 to get rid of the decimals:
0.05<em>n</em> + 0.10<em>d</em> = 1.50
==> 5<em>n</em> + 10<em>d</em> = 150
Multiply both sides of the first equation by -5:
<em>n</em> + <em>d</em> = 21
==> -5<em>n</em> - 5<em>d</em> = -105
Add the two equations together:
(5<em>n</em> + 10<em>d</em>) + (-5<em>n</em> - 5<em>d</em>) = 150 + (-105)
Notice that the terms containing <em>n</em> get eliminated and we can solve for <em>d</em> :
(5<em>n</em> - 5<em>n</em>) + (10<em>d</em> - 5<em>d</em>) = 150 - 105
5<em>d</em> = 45
<em>d</em> = 45/5 = 9
Plug this into either original equation to solve for <em>n</em>. Doing this with the first equation is easiest:
<em>n</em> + 9 = 21
<em>n</em> = 21 - 9 = 12
So Donna used 12 nickels and 9 dimes.
Answer:
$4,881.56
Step-by-step explanation:
The future value formula is ...
FV = P(1 +r/n)^(nt)
where principal P is invested at annual rate r compounded n times per year for t years.
You have P=3300, n=12, r=0.028, t=14, so the future value is ...
FV = $3300(1 +0.028/12)^(12·14) = $4881.56
There would be $4881.56 in the account after 14 years.
To do this, you got to square 256.
The square root of 256 is 16.
Therefore, there are 16 small squares on each edge of the mosaic.
Kinda proof:
o o o o O
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o o o o O
o o o o O
o o o o O
25 squares. Square root is 5. 5 along each edge. My work shares same concept.
Extremely unnecessary proof:
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o o o o o o o o o o o o o o o O
o o o o o o o o o o o o o o o O
o o o o o o o o o o o o o o o O
o o o o o o o o o o o o o o o O
o o o o o o o o o o o o o o o O
o o o o o o o o o o o o o o o O
o o o o o o o o o o o o o o o O
o o o o o o o o o o o o o o o O
o o o o o o o o o o o o o o o O
o o o o o o o o o o o o o o o O
o o o o o o o o o o o o o o o O
o o o o o o o o o o o o o o o O
o o o o o o o o o o o o o o o O
o o o o o o o o o o o o o o o O
o o o o o o o o o o o o o o o O
There are 256 squares, and you can count 16 on each edge. this shows 16 times 16, or 16 squared, which is 256.
Answer:
Using long division method the answer is B
Step-by-step explanation:
x²+3x-5+(15x-18)/x²+x-3
