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aleksley [76]
3 years ago
6

How much money will you save if you have a 20% discount on $27.29

Mathematics
1 answer:
bulgar [2K]3 years ago
6 0
$21.83 you take the 27.29 x .20 and then subtract that product (which is 5.46) from the 27.29
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Help pleaseeeeeeeeeeeeeeeeeeeeeee
bixtya [17]

Answer:  \bold{(1)\ \dfrac{19,683}{64}\qquad (2)\ 16}

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

(1)           (12, 18, 27, ...)

The common ratio is:

r=\dfrac{a_{n+1}}{a_n}\quad r =\dfrac{18}{12}=\boxed{\dfrac{3}{2}}\quad \rightarrow \quad r=\dfrac{27}{18}=\boxed{\dfrac{3}{2}}

The equation is:

a_n=a_o(r)^{n-1}\\\\Given:a_o=12,\  r=\dfrac{3}{2}\\\\\\Equation:\\a_n =12\bigg(\dfrac{3}{2}\bigg)^{n-1}\\\\\\\\9th\ term:\\a_9=12\bigg(\dfrac{3}{2}\bigg)^{9-1}\\\\\\a_9=12\bigg(\dfrac{3}{2}\bigg)^{8}\\\\\\.\quad =\large\boxed{\dfrac{19643}{64}}

(2)\qquad \bigg(\dfrac{1}{16},\dfrac{1}{8},\dfrac{1}{4},\dfrac{1}{2}\bigg)\\\\\\\text{The common ratio is}:\\\\r=\dfrac{a_{n+1}}{a_n}\quad  r=\dfrac{\frac{1}{8}}{\frac{1}{16}}=\boxed{2}\quad \rightarrow \quad r=\dfrac{\frac{1}{4}}{\frac{1}{8}}=\boxed{2}

The equation is:

a_n=a_o(r)^{n-1}\\\\Given:a_o=\dfrac{1}{16},\  r=2\\\\\\Equation:\\a_n =\dfrac{1}{16}(2)^{n-1}\\\\\\\\9th\ term:\\a_9=\dfrac{1}{16}(2)^{9-1}\\\\\\a_9=\dfrac{1}{16}(2)^{8}\\\\\\.\quad =\large\boxed{16}

3 0
3 years ago
Hi! I'd appreciate if you could help me on this question.
s2008m [1.1K]

Answer:

48

Step-by-step explanation:

We need to find the multiples of 8

8,16,24,32,40,48

48 is between 45 and 50 so he must have bought 48

8 0
3 years ago
Read 2 more answers
Does the quadratic function
const2013 [10]

Answer:

[0] real zeros

Step-by-step explanation:

You can use the discriminant of the quadratic formula which is b² – 4ac to determine the # of real zeros by knowing that:

  • 2 real zero(s) occur when b² – 4ac > 0.
  • 1 real zero(s) occur when b² – 4ac = 0.
  • 0 real zero(s) occur when b² – 4ac < 0.
4 0
3 years ago
Please tell me what y equals please
bagirrra123 [75]

The data cannot be modeled by a linear equation because the rate of change is not constant. This can be seen in the fact that when you increase x from 1 to 2, you subtract 3 from the y-values. However, as you add 2 more, you continue to subtract 3 from the y-values. If the function were a linear function, we would likely subtract 6 from the y-values, since that would form a constant ratio.


You can even look at the fact that as we increased the x by 4, we continued to decrease the y by 3. This does not form a constant ratio, and is thus the data could not be modeled by a linear function.

5 0
3 years ago
Solve for w. 9w-4/4=5w-6/7+6​
ELEN [110]

Answer:

w=\frac{1}{16}

Step-by-step explanation:

\frac{9w-4}{4} =\frac{5w-6}{7+6}

9w-1=\frac{5w-6}{13}

9w-1+1=\frac{5w-6}{13}+1

9w=\frac{5w-6}{13}+1<u />

13 × 9w = 13 × \frac{5w-6}{13}+1

117w = 5w - 6 + 13

117w = 5w + 7

117w - 5w = 5w - 5w + 7

112w = 7

112w ÷ 112 = 7 ÷ 112

w=\frac{1}{16}

5 0
3 years ago
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