Answer:
-14>-1 2/3
Step-by-step explanation:
Answer:
pog
Step-by-step explanation:
that test :P
Answer:
The potential salary of Mr. Jackson in 5 years in company A is $ 48000 and in company B is $ 50000.
Step-by-step explanation:
Company A offer:
Pay for first year, ![a=\$40000](https://tex.z-dn.net/?f=a%3D%5C%2440000)
Increase in pay each year after first year, ![d=$2000](https://tex.z-dn.net/?f=d%3D%242000)
The total pay after n years can be determined using the
term of the arithmetic progression as the increase in pay is an arithmetic sequence with first term as 40000 and common difference as 2000.
So, Total pay after 5 years is given as:
![T_{n}=a+(n-1)d\\T_{5}=40000+(5-1)2000\\T_{5}=40000+4\times 2000\\T_{5}=40000+8000=\$48000](https://tex.z-dn.net/?f=T_%7Bn%7D%3Da%2B%28n-1%29d%5C%5CT_%7B5%7D%3D40000%2B%285-1%292000%5C%5CT_%7B5%7D%3D40000%2B4%5Ctimes%202000%5C%5CT_%7B5%7D%3D40000%2B8000%3D%5C%2448000)
Company B offer:
Pay for first year, ![a=\$30000](https://tex.z-dn.net/?f=a%3D%5C%2430000)
Increase in pay each year after first year, ![d=$5000](https://tex.z-dn.net/?f=d%3D%245000)
The total pay after n years can be determined using the
term of the arithmetic progression as the increase in pay is an arithmetic sequence with first term as 30000 and common difference as 5000.
So, Total pay after 5 years is given as:
![T_{n}=a+(n-1)d\\T_{5}=30000+(5-1)5000\\T_{5}=30000+4\times 5000\\T_{5}=30000+20000=\$50000](https://tex.z-dn.net/?f=T_%7Bn%7D%3Da%2B%28n-1%29d%5C%5CT_%7B5%7D%3D30000%2B%285-1%295000%5C%5CT_%7B5%7D%3D30000%2B4%5Ctimes%205000%5C%5CT_%7B5%7D%3D30000%2B20000%3D%5C%2450000)
Therefore,
The potential salary of Mr. Jackson in 5 years in company A is $ 48000 and in company B is $ 50000.
Answer:
q = 6/13, p = 35/13
Step-by-step explanation:
3p + 2q = 9
2p - 3q = 4
_________ (subtract the two equation from each other.)
p + 5q = 5
p = 5 - 5q
2(5 - 5q) - 3q = 4 (substitute value of p into equation)
10 - 10q - 3q = 4
10 - 13q = 4
-13q = -6
<u>q = 6/13</u>
3p + 2(6/13) = 9 (substitute value of q into equation)
3p + 12/13 = 9
3p = 105/13
<u>p = 35/13</u>
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Answer:
A.) 15
B.) 1 year
C.) $50
D.) 1.5%
Step-by-step explanation:
The percentage equation goes thus:
Interest earned = principal * rate * time
A)
Principal: $100 Interest rate: 5% Time in years: 3 Interest earned
Interest earned = $100 * 0.05 * 3
Interest earned = $15
B.)
Principa;" $500 Interest rate: 4% Time in years: interest earned: $20
Interest earned = principal * rate * time
20 = 500 * 0.04 * time
20 = 20 * time
Time = 20 / 20 = 1
Time = 1 year
C.)
Principal: Interest rate:10% Time in years: 7 Interest earned:$35
Interest earned = principal * rate * time
$35 = principal * 0.1 * 7
$35 = principal * 0.7
Principal = $35 / 0.7
Principal = $50
D.)
Principal: $200 Interest rate: Time in years:2 Interest earned: $6
Interest earned = principal * rate * time
$6 = $200 * rate * 2
$6 = $400 * rate
Rate = $6/$400
Rate = 0.015 = 1.5%