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Ganezh [65]
3 years ago
12

carol had a birthday party at a local pizza restaurant the bill came 54.80 not including tip to be 15% how much whould that add

to the bill
Mathematics
1 answer:
luda_lava [24]3 years ago
5 0
It would be 63.02
I hope this helps :)
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30 points!!<br> What is the sum of the first six terms of the series?<br> 48 - 12 + 3 - 0.75 +...
Lunna [17]

Answer:

The sum of the first six terms is 38.39

Step-by-step explanation:

This is a geometric sequence since the common difference between each term is -\frac{1}{4}

Thus, r=-\frac{1}{4}

To find the sum of first six terms, we need to find the fifth and sixth term of the sequence.

To find the fifth term:

The general form of geometric sequence is a_{n}=a_{1} \cdot r^{n-1}

To find the fifth term, substitute n=5 in a_{n}=a_{1} \cdot r^{n-1}

\begin{aligned}a_{5} &=(48) \cdot\left(-\frac{1}{4}\right)^{5-1} \\&=(48) \cdot\left(-\frac{1}{4}\right)^{4} \\&=(48)\left(\frac{1}{256}\right) \\a_{5} &=0.1875\end{aligned}

To find the sixth term, substitute n=6 in a_{n}=a_{1} \cdot r^{n-1}

\begin{aligned}a_{6} &=(48) \cdot\left(-\frac{1}{4}\right)^{6-1} \\&=(48) \cdot\left(-\frac{1}{4}\right)^{5} \\&=(48)\left(-\frac{1}{1024}\right) \\a_{5} &=-0.046875\end{aligned}

To find the sum of the first six terms:

The general formula to find Sn for |r| is S_{n}=\frac{a\left(1-r^{n}\right)}{1-r}

\begin{aligned}S_{6} &=\frac{48\left(1-\left(-\frac{1}{4}\right)^{6}\right)}{1-\left(-\frac{1}{4}\right)} \\&=\frac{48\left(1-\frac{1}{4096}\right)}{1+\frac{1}{4096}} \\&=\frac{48(0.95)}{5} \\&=\frac{48(0.9998)}{5} \\&=\frac{48(0.9998)}{5} \\&=\frac{47.9904}{5} \\&=38.39\end{aligned}

Thus, the sum of first six terms is 38.39

5 0
3 years ago
The area of Jackson's rectangular garden is 64 square ft. If the length of the garden is 16 ft, what is the width of the garden?
MatroZZZ [7]
The width of the garden is 4
6 0
3 years ago
Read 2 more answers
What dose -9.5-(-8) - 6.5 equal ​
jarptica [38.1K]

Answer:

-24

Step-by-step explanation:

-9.5 - 8 would be -17.5. subtract 6 from that and you get -24, the answer.

8 0
3 years ago
81r2 - 90r + 25 solve
Dimas [21]
<span>81r2 - 90r + 25
=(9r +5)^2 

----------------------</span>
7 0
3 years ago
I don't understand this question can anyone help
DiKsa [7]
18m+6n
( factor out 6 from the expression )
6(3m+n)
4 0
3 years ago
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