Charlotte spent 1/2 of the day shopping at all. She spent 1/4 of this time trying on jeans. What fraction of the day did Charlot
1 answer:
Answer:
Charlotte spend of day trying on jeans
Step-by-step explanation:
Charlotte spent part of day on shopping =
She spent part of shopping time on trying jeans =
We are supposed to find What fraction of the day did Charlotte spend trying on jeans.
She spent fraction of the day in trying jeans =
She spent fraction of the day in trying jeans =
Hence Charlotte spend of day trying on jeans
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Answer:
appropriately writing the proportion can reduce or eliminate steps required to solve it
Step-by-step explanation:
The proportion ...
is equivalent to the equation obtained by "cross-multiplying:"
AD = BC
This equation can be written as proportions in 3 other ways:
Effectively, the proportion can be written upside-down and sideways, as long as the corresponding parts are kept in the same order.
I find this most useful to ...
a) put the unknown quantity in the numerator
b) give that unknown quantity a denominator of 1, if possible.
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The usual method recommended for solving proportions is to form the cross-product, as above, then divide by the coefficient of the variable. If the variable is already in the numerator, you can simply multiply the proportion by its denominator.
<u>Example</u>:
x/4 = 3/2
Usual method:
2x = 4·3
x = 12/2 = 6
Multiplying by the denominator:
x = 4(3/2) = 12/2 = 6 . . . . . . saves the "cross product" step
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<u>Example 2</u>:
x/4 = 1/2 . . . . we note that "1" is "sideways" from x, so we can rewrite the proportion as ...
x/1 = 4/2 . . . . . . written with 1 in the denominator
x = 2 . . . . simplify
Of course, this is the same answer you would get by multiplying by the denominator, 4.
The point here is that if you have a choice when you write the initial proportion, you can make the choice to write it with x in the numerator and 1 in the denominator.
Answer:
$412.92
Step-by-step explanation:
You are going to want to use the compound interest formula, which is shown below.
<em>P = initial balance </em>
<em>r = interest rate </em>
<em>n = number of times compounded annually </em>
<em>t = time </em>
<em />
The first step is to change 4% into its decimal form:
4% -> -> 0.04
Now plug in the values:
It would be worth $412.92