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user100 [1]
2 years ago
5

The price of a Year 7 mathematics textbook is $60. The store gives a discount of 20% on the textbook.

Mathematics
1 answer:
MAVERICK [17]2 years ago
7 0

Answer:

yes,you can buy the textbook

Step-by-step explanation:

determine discount

60 × 0.2(decimal form of 20%)

=12

apply discount

60-12

=48

50>48✓

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Read 2 more answers
Alexander deposited money into his retirement account that is compounded annually at an interest rate of 7%.
anzhelika [568]
Tow rates are equivalent if tow initial investments over a the same time, produce the same final value using different interest rates.

For the annually rate we have that:
V_{0} =(1+ i_{a} ) ^{1}
Where
V_{0} = initial investment.
i_{a} = annually interest rate in decimal form.
And the exponent (1) represents the full year.

For the quarterly interest rate we have that:
V_{0} =(1+ i_{q} ) ^{4}
Where
V_{0} = initial investment.
i_{q} = quarterly interest rate in decimal form.
And the exponent (4) the 4 quarters in the full year.

Since the rates are equivalent if tow initial investments over a the same time, produce the same final value, then
(1+ i_{a} )=(1+ i_{q} ) ^{4}
Notice that we are not using the initial investment V_{0} since they are the same.

The first thin we are going to to calculate the equivalent quarterly rate of the 7% annually rate is converting 7% to decimal form
7%/100 = 0.07
Now, we can replace the value in our equation to get:
(1+0.07)=(1+ i_{q} ) ^{4}
1.07=(1+ i_{q} ) ^{4}
\sqrt[4]{1.07} =1+ i_{q}
 i_{q} = \sqrt[4]{1.07} -1
i_{q} =0.017
Finally, we multiply the quarterly interest rate in decimal form by 100% to get:
(0.017)(100%) = 1.7%
We can conclude that Alexander is wrong, the equivalent quarterly rate of an annually rate of 7% is 1.7% and not 2%.


6 0
3 years ago
Evaluate 8-2.<br>A. -16<br>B. -64<br>C. -1/64<br>D. 1/64<br> ​
makvit [3.9K]

I'm assuming you meant to write 8^(-2) or 8^{-2} where the -2 is the exponent over the 8.

If my assumption is correct, then we use the rule a^{-b} = \frac{1}{a^b}

So,

a^{-b} = \frac{1}{a^b}\\\\8^{-2} = \frac{1}{8^2}\\\\8^{-2} = \frac{1}{64}

<h3>Answer: Choice D.  1/64</h3>
8 0
2 years ago
How do I write an equation for each parabolas?
fredd [130]

Step-by-step explanation:

  1. In the first parabola it opens on the left and the equation of parabola can be expressed as,

              in vertical component <u>(y)² = (-) a (x-h)² + k</u>

cause  the parabola is horizontal and it opens on the left.

          2. In the second parabola the vertex opens on the right and hence the      equation cane be given as,

    in vertical component <u>(y)² = a (x-h)² + k</u>

cause the parabola is horizontal and opens on the right.

       3. the third equation is given as,

        in horizontal component<u> (x²) =</u> <u> (-) a (x-h)² + k</u>

since the parabola is vertical and opens down.

        4. the fourth equation is given as,

        in the horizontal component  <u>(x)² = a (x-h)² + k</u>

since the parabola is vertical and opens up.

             

   

7 0
3 years ago
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