Answer:
Step-by-step explanation:
The store has a 30% discount on every item in stock. how much is the 5% sales tax reduced on an item that regularly sells for $1
1 answer:
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Answer:
A. $7.17
Step-by-step explanation:
We have been given that a mechanic uses his credit card to pay for a compressor that costs $477.95 and does not pay on it until the second month.
We will use compound interest formula to solve our given problem.
where,
A = Final amount after T years,
P = Principal amount,
r = Annual interest rate in decimal form,
n = Periods of compounding,
T = Time in years.
Let us multiply our given rate by 12 to get APR and convert it in decimal form.
Since 1 year equals 12 months, so 1 month will be 1/12 year.
Upon substituting our given values in above formula we will get,
Now let us subtract principal amount from the final amount to get the monthly interest charge at the end of 1st month.
Therefore, the monthly interest charge be at the end of the first month will be $7.17 and option A is the correct choice.
Step-by-step explanation:
<u>Step 1: Determine the axis of symmetry</u>
The axis of symmetry is middle of the parabola. In this equation we see that at x = -1 we have the vertex and also the middle of the parabola. So our axis of symmetry is x = -1.
<u>Step 2: Determine the vertex</u>
The vertex is the minimum or maximum of a parabola and is bent in a crest form. In this example the vertex is at (-1, -3) because we are using the tip of the graph.
<u>Step 3: Determine the y-intercept</u>
The y-intercept is where the graph intersects with the y-axis. In this example we intersect the y-axis at -4 so that means that our point would be (0, -4) meaning that we intersect x = 0 at -4.
<u>Step 4: Determine if the vertex is a min or max</u>
Looking at the graph we can see that the rest of the red line is beneath the vertex point which means that the vertex is a max.
<u>Step 5: Determine the domain</u>
The domain is the x-values that we are going to be using and we know that we are reaching toward positive and negative inifity which means that we are using all real numbers.
<u>Step 6: Determine the range</u>
The range is the y axis and what y values we are able to reach using the graph. In this example we can see that all y-values above -3 are not being used therefore the range is
Answer:
The amount is sufficient to make 75 tarts.
Step-by-step explanation:
We have been given that a recipe for individual chocolate hazelnut tarts calls for ½ cup of hazelnuts per tart and 1 cup of hazelnuts weighs 4 ounces.
The half cup of hazelnuts will weigh 2 ounces .
1 kg equals 35.274 ounces.
Since each tart needs ½ cup of hazelnuts and half cup of hazelnuts will weigh 2 ounces, so we will divide 176.37 ounces by 2 to find number of tarts.
Since we can make 88 tarts from 5 kg hazelnuts, therefore, the 5-kilogram bag of hazelnuts be sufficient to make 75 tarts.