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valkas [14]
3 years ago
6

Nadia saved 10% on her CD purchase. If the CD originally cost $24.90, how much did she save ?​

Mathematics
2 answers:
densk [106]3 years ago
8 0

Answer: 22.41

Step-by-step explanation: 0.1 x 24.90 = 2.49 , 24.90 - 2.49 = 22.41

liberstina [14]3 years ago
6 0

Nadia saved 10% of $24.90.

10% x 24.9 = 2.49

answer: $2.49

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What is the height, in feet, of the portion AB of the lamp post?
sineoko [7]
AB=h can be found with 

tan 60° =AB / AC, and AB=h= tan60° x AC
h= 14*  1.73=24.24
4 0
4 years ago
What is the inverse and restricted domain of the equation 8x^2-3
kari74 [83]

Answer:  \bold{y=\pm \dfrac{\sqrt{2(x+3)}}{4},\qquad x\neq -3}

<u>Step-by-step explanation:</u>

y = 8x² - 3            (Restriction: none -  x is All Real Numbers)

The inverse is when you swap the x's and y's and then solve for y

x = 8y² - 3            <em>swapped the x and y</em>

x + 3 = 8y²           <em>added 3 to both sides</em>

\dfrac{x+3}{8}=y^2           <em>divided both sides by 8</em>

\sqrt{\dfrac{x+3}{8}}=\sqrt{y^2}           <em>square rooted both sides</em>

\pm \sqrt{\dfrac{x+3}{8}}=y           <em>simplified</em>

\pm \sqrt{\dfrac{x+3}{8}\bigg(\dfrac{2}{2}\bigg)}=y           rationalized the denominator

\pm \sqrt{\dfrac{2(x+3)}{16}}=y           <em>simplified</em>

\pm \dfrac{\sqrt{2(x+3)}}{4}=y           <em>simplified</em>

<u>Restriction:</u>

The radical <em>(inside the square root sign)</em> cannot be negative

→  2(x + 3) ≥ 0

      x + 3 ≥ 0         <em>divided both sides by 2</em>

      x       ≥ -3         <em>subtracted 3 from both sides</em>



4 0
3 years ago
Select all that apply. Given the points (3, 2) and (6, 4), which of the following are true about the line passing through these
netineya [11]

Answer:

The line represents a direct variation function.

Step-by-step explanation:

This line would cross the point (0, 0) making it a direct variation function.

We know the line would cross (0, 0) because the slope of the line is 2/3 (change in y over change in x, so 4-2 over 6-3 which simplifies to 2/3). From the point (3, 2), we can use the slope to calculate backwards to the origin.

3 0
3 years ago
Complete the equation and tell which property you used. (3×10)×8=___(10×8)
just olya [345]
To complete the equation and tell which property you used. (3×10)×8=___(10×8)
The property of basic operations that was used here is the:
1. Associative property of multiplication where you can group or cluster certain values or numbers in an equation and still yield the same product.

The missing value would be 3. Hence,
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6 0
3 years ago
Read 2 more answers
What is the hypotenuse of a triangle with 4 ft and 5 ft
sergeinik [125]

Answer:

\Large\text{The hypotenuse is}\ \sqrt{41}\ ft\approx6.4\ ft

Step-by-step explanation:

\text{Use the Pythagorean theorem:}

a^2+b^2=c^2

\text{a, b - legs}\\\text{c - hypotenuse}

\text{We have the legs 4ft and 5ft. Substitute:}

c^2=4^2+5^2\\\\c^2=16+25\\\\c^2=41\to c=\sqrt{41}

8 0
3 years ago
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