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Mrrafil [7]
4 years ago
10

The first three terms of a sequence are given. Round to the nearest thousandth (if necessary).

Mathematics
1 answer:
Nastasia [14]4 years ago
5 0

Answer:

Step-by-step explanation:

First term is 3

common difference = 15/2 divided by 3 = 5/2

8th term = a * r^7

3 * (5/2)^7 = 1,831.0546875

To the nearest thousandth 1,831.055

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Catie is starting a babysitting business. She spent $26 to make signs and flyers to advertise. She charges an initial fee of $5
Anvisha [2.4K]
When you're solving for inequalities, you're looking for the relative size of two values meaning something is less than, greater than something else. In this case, Catie is looking to make a profit more than (>) her cost. So: 

Step 1: $5 (initial fee) + $3/h of service thereafter > $26 (cost of advertising) 
             ----                                                                  -----                 
Step 2:   -5                                                                     -5
         ___________________________________________________
Step 3:                        + $3/h of service thereafter > $26 (cost of advertising) 
                                       -------                                    -----      
                                          3                                          3
Step 4:  h = 7

Therefore, in 7 hours, Catie will have enough money to breakeven. But we are looking for profit. So, in the 8th hour, Catie will have enough to make a profit.  

The inequality can be written as so: 5+3h>26 

You can also look at it another way: 

Hour 1: $5 (initial fee) + $3/h thereafter = 8
Hour 2: +3 = 11 
Hour 3: +3 = 14
Hour 4: +3 = 17
Hour 5: +3 = 20
Hour 6: +3 = 23
Hour 7: +3 = 26 (Breakeven) 
Hour 8: +3 = 29 (Profit) 
     

4 0
4 years ago
Consider the triangle. What shows the order of the angles from smallest to largest?
asambeis [7]

The order of the smallest to largest angle is angle B, then angle A and the largest is angle C. In a theorem of the Triangle Inequalities, the larger value of the distance, the larger the opposing angle is. To get the exact value of each angle, law of cosines can be used.


7 0
3 years ago
What's .61 repeating as a decimal
soldi70 [24.7K]

Answer:

0.6111111111111111111111111111

Step-by-step explanation:

over and over non stop

7 0
3 years ago
Read 2 more answers
Given: (5y-1)/(2)=7 prove: y=3
Komok [63]
True because 5(3)=15-1=14 and 14/2=7
3 0
3 years ago
Find the area of the figure.
jasenka [17]
Divide into shapes that you can find the area of.....

you also have to cross out the 5 and the 4s because you will not need them

2×2= 4 sq. cm
2×2= 4 sq. cm
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18 + 4 + 4 = 26 sq. cm

so the area is 26 sq. cm
6 0
4 years ago
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