Answer:
Step-by-step explanation:
To write any decimal as a fraction you divide by 1 and multiply by a number (ranging from 10, 100, 1000 etc.) that will make 0.46 a whole number, this will explain:
Let x = 
10x = 
100x = 
this is our perfect fraction, now we simplify later
100x - 10x = 
90x = 
this is to confirm both fractions are equal
x is the same as as 
as 
but here x = because a fraction has to have no decimals.
So 0.46 is equal any of these values, as a fraction, on the other hand, it's improperly equal to 
here I divided by 2 to bring down the proper fraction. (fraction at its simplest form)
The figure is not fully visible
Answer:
A) The annual multiplier was 1.0339; the annual increase was 0.0339 of the value.
B) 3.39% per year
C) $182,000
Step-by-step explanation:
A) Let's let t represent years since 1987. Then we can fill in the numbers and solve for r.
165000 = 100000(1 +r)^15
1.65^(1/15) = 1 +r . . . . . divide by 100,000; take the 15th root
1.03394855265 -1 = r ≈ 0.0339
The value was multiplied by about 1.0339 each year.
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B) The value increased by about 3.39% per year.
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C) S = $100,000(1.03394855265)^18 ≈ $182,000
Answer:
Hisaki can make 4 2/3 batches of cookies with 3 1/2 cups of sugar.
Step-by-step explanation:
Let x be number of batches with 3.5 cups. (I've converted the fractions to decimals to simply calculation. Let me know if you want an explanation where I retain the fractions as-is.)
1 batch = 0.75 cup
x batches = 3.5 cups
-using unitary method-
( 3.5 * 1 ) / 0.75 = x
4.66667 = x
Therefore, number of batches = x = 4 2/3 batches.
