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Volgvan
3 years ago
8

Original price of a CD: $20.00 Discount 42% Tax 6%

Mathematics
1 answer:
vodomira [7]3 years ago
3 0
First, we can subtract the discount from the original price. Divide the discount (42%) over 100.

42/100 = 0.42

Next, we need to multiply. It's basically asking what 42% of 20 is. 

0.42 × $20 = $8.40

Now, we know that we will have $8.40 on the CD because of the discount. We can subtract the saved amount from the original amount to get the price.

$20 - $8.40 = $11.60

You will pay $11.60 for the CD without taxes.

----------

Now to add the taxes.... To do this, do the same first step we did when finding the discount price. 

6/100 = 0.06

Multiply. Like I said, you can think of it as, '6% of 11.60'. 

0.06 × 11.60 = $0.70

Last step is to ADD. Since taxes add more money onto the current price, we will have to add.

$11.60 + $0.70 = $12.30

---------

The total price of the CD will be: $12.30.
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Step 1:

a) Write the quadratic model

a = -15.64

b = -1.24

c = 5.23

P(t)=-15.64t^2\text{ - 1.24t + 5.2}3

b) t = 0.30

\begin{gathered} P(t)=-15.64t^2\text{ - 1.24t + 5.2}3 \\ =\text{ -15.64 }\times0.3^2\text{ - 1.24}\times\text{ 0.3 + 5.2}3 \\ =\text{ -1.4076 - 0.372 + }5.23 \\ =\text{ 3.45} \end{gathered}

c) t = 0.52 seconds

\begin{gathered} p(t)=-15.64t^2\text{ - 1.23t + 5.23} \\ =\text{ -15.64}\times0.52^2\text{ - 1.23}\times0.52\text{ + 5.23} \\ =\text{ -4.23 - 0.64 + 5.23} \\ =\text{ 0.36} \end{gathered}

d) 0.30 is more likely to be relaible.

e)

\begin{gathered} p(t)\text{ = 1} \\ p(t)=-15.64t^2\text{ - 1.23t + 5.23} \\ 1=-15.64t^2\text{ - 1.23t + 5.23} \\ -15.64t^2\text{ - 1.23t + 4.23 = 0} \\ t\text{ = 0.48222} \\ \text{t = 0.48 seconds} \end{gathered}

5 0
1 year ago
Can someone explain 15-20? I really need help and it's due tomorrow. Thank you in advance!
zubka84 [21]
15-20 is -5. If you put 15 on a number line and go back twenty spaces you land on -5 hope this helps.
7 0
3 years ago
Read 2 more answers
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blagie [28]

Answer:

x = 38, y = 4

Step-by-step explanation:

Since AB = BC  then the triangle is isosceles and the base angles are congruent, that is

∠ DAB = ∠ DCB = 52°

Subtract the sum of the base angle from 180° for ∠ ABC

∠ ABC = 180° - (52 + 52)° = 180° - 104° = 76°

Note that ∠ ABD = ∠ CBD, thus

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BD bisects the side AC, thus DC = AD = 4

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3 years ago
What is the solution to 4+5e^x+2 =11
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Answer:

x =0

Step-by-step explanation:

4+5e^x+2 =11

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6 + 5e^x =11

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6-6 + 5e^x =11-6

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Divide by 5 on each side

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Take the natural log on each side

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3 0
3 years ago
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Answer:

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