y is directly proportional to x. When y = 30, x = 6 a) Work out an equation connecting y and x. b) Work out the value of y when
1 answer:
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Answer:
<em>$225</em>
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Step-by-step explanation:
Given that:
Principal = $6,000
Interest rate = 5%
Time = 1 year
Taxes paid = 25% on the interest earned
To find:
Money earned after paying taxes ?
Solution:
First of all, let us calculate the total interest earned:
Formula for Simple Interest is given as:
Where P is the principal
R is the rate of interest
T is the time taken
Putting the given values:
Now, it is given that 25% of the interest earned is given as taxes.
Taxes paid = 25% of $300
Therefore, the money earned = Interest earned - Taxes paid
The money earned = $300 - $75 = <em>$225</em>
Answer:
If you meant , then the answer is approximately 0.866.
If you meant , then the answer is approximately -2.909 which looks like what you meant based on the choices.
Step-by-step explanation:
First step is to get the exponential part by itself. The part that has the variable exponent which is the term.
To do this we need to subtract 4 on both sides:
Simplify:
The equivalent logarithmic form is:
I always say to myself the logarithm is the exponent that is how I know what to put opposite the side containing the log.
Anyways if you don't have options for computing in your calculator you need to use the change of base formula.
So
I don't see this as a choice so maybe you actually meant the following equation:
Let's see if this is the correct interpretation.
So the exponential part is already isolated.
So we just need to put in the equivalent logarithmic form:
Now we subtract 4 on both sides:
Again if you don't have the option for computing in your calculator, you will have to use the change of base formula: