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lorasvet [3.4K]
3 years ago
11

Please help this is for my maths midterm and i have no idea how to solve

Mathematics
1 answer:
slava [35]3 years ago
4 0

Step-by-step explanation:

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What is the 6th term of the geometric sequence where a1 = 1,024 and a4 = −16? 1 −0.25 −1 0.25
VLD [36.1K]

The n-th term is given by

a_n=a_1\cdot r^{(n-1)}\qquad\text{where r is the common ratio}

Then we can find the common ratio from the given terms.

\dfrac{a_4}{a_1}=\dfrac{a_1\cdot r^{(4-1)}}{a_1}=r^3=\dfrac{-16}{1024}=\left(\dfrac{-1}{4}\right)^3\\\\r=\dfrac{-1}{4}\\\\a_6=1024\left(\dfrac{-1}{4}\right)^5=-1

The appropriate choice is -1.

8 0
4 years ago
Read 2 more answers
What is the answer when you round 522 254 to the nearest 10​
DiKsa [7]

Answer:

522250

How to round to the nearest tenth:

Whenever you want to round a number to a particular digit, look only at the digit immediately to its right. For example, if you want to round to the nearest tenth, look to the right of the tenths place: This would be the hundredths place digit. Then, if it is 5 or higher, you get to add one to the tenths digit. If it is 4 or lower, the tenths digit remains the same.

For example, 3.58 can be rounded to 3.6 because the hundredths place digit, 8 is greater than or equal to 5.

3.32 would be rounded to 3.3, because the hundredths place digit, 2, is less than 5.

6 0
3 years ago
-7–5(3g+8)&lt;10g–7+g <br><br> help me please!
Ede4ka [16]

Answer:

-20/13 <g

Step-by-step explanation:

-7–5(3g+8)<10g–7+g

Distribute

-7–15g-40<10g–7+g

Combine like terms

-15g - 47 < 11g -7

Add 15 g to each side

-15g+15g -47< 11g+15g -7

-47 < 26g -7

Add 7 to each side

-47+7 < 26g-7+7

-40 < 26g

Divide each side by 26

-40/26 <26g/26

-40/26 <g

Divide top and bottom by 2

-20/13 <g

8 0
3 years ago
Can someone help with step by step
MrMuchimi

Answer:

See explanation

Step-by-step explanation:

In\: \triangle ABC \:\&\: \triangle EDC\\\angle ABC \cong \angle EDC... (Right \: \angle s) \\\angle ACB \cong \angle ECD... (Vertical \: \angle s) \\\therefore \triangle ABC \sim \triangle EDC... (By\: AA\: Postulate) \\

3 0
3 years ago
Patrick's credit card has an apr of 17% calculated on the previous monthly balance and minimum a payment of 2%starting the month
PilotLPTM [1.2K]

Answer:

  $151.78

Step-by-step explanation:

The sum of the amounts in the "Principal Paid" column is ...

  $25.67 +25.52 +25.37 +25.22 +25.07 +24.93 = $151.78

The amount Patrick has paid against his original charge is $151.78.

_____

<em>Comment on minimum payment</em>

If Patrick continues to make the minimum payment, it will take more than 70 years for the balance remaining to drop below $25. In that time, Patrick will have paid about $15,000 to the credit card company.

4 0
4 years ago
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