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Serjik [45]
3 years ago
15

Stan invests $5000, some at 6% interest and the rest at 4.5% interest. If x is the amount he invests at 6%, then the amount inve

sted at 4.5% can be expressed as
A) .045x.
B) 10.5x.
C) 5000 - x.
D) 5000 + x.
Mathematics
1 answer:
Bumek [7]3 years ago
8 0
Let's say that Stan invested $1500 at 6%.  To find how much he invested at 4.5% would be 5000 - 1500 = $3500.  Now we have a pattern.  Now let's say stan invested x dollars. Even though it is unknown, we can set up how much is left.  So subtract x from 5000 or 5000 - x which is C
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Let's go through this problem step by step while bearing in mind the concept of PEMDAS.

Step 1: (66.3-14.62)/0.6-0.2^{2}
Declaration of the expression. Nothing wrong here yet.

Step 2: (51.68)/0.6-0.2^{2}
Clarise evaluated what's inside the parenthesis first - which was the right thing to do! There are no mistakes in this step.

Step 3: (51.68)/0.4^{2}
In this step she subtracted first. This should not be the case! PEMDAS tells us that the exponents and division gets higher priority than subtraction. This is therefore the first mistake Clarise makes.

Step 4: (51.68)/0.16
In this step Clarise evaluates the exponent. This does not violate any rules (relative to the previous expression) since PEMDAS tells us that exponents take higher priority than division.

Step 5: 3.23 (Clarise's final answer)
In Clarise's final step, she manages to get the wrong answer! Dividing 51.68 by 0.16 would give us 323. This is another mistake of Clarise.

Looking at the choices, we can now identify what mistakes Clarise made:
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