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Vinil7 [7]
3 years ago
6

Please put the the right answer

Mathematics
1 answer:
shutvik [7]3 years ago
4 0

Answer:

5/8

Step-by-step explanation:

i took the test hope this helps

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Joan has $5,000 in her savings account.
Leona [35]

Answer:

Step-by-step explanation:

25

5,000 divided by 200

8 0
3 years ago
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
4=(1/2)^× solve for x
cricket20 [7]
4=\left(\frac{1}{2}\right)^x\\&#10;2^2=2^{-x}\\&#10;x=-2&#10;
4 0
3 years ago
An equation of a line with a slope of -2 and a y-intercept of 2.5 is
Masja [62]

Answer:

its D

Step-by-step explanation:

8 0
2 years ago
One flickeronie and 2 flickeronies
Natali [406]

Answer: 7 hours left!

Step-by-step explanation:

She had used up 12 hours and 45 minutes. 7 hours and 15 minutes left, but if you're including the minutes, then it's 7 hours and 15 minutes. Good luck! :D

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3 years ago
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