Answer:
y-3
Problem:
What is the remainder when the dividend is xy-3, the divisor is y, and the quotient is x-1. ?
Step-by-step explanation:
Dividend=quotient×divisor+remainder
So we have
xy-3=(x-1)×(y)+remainder
xy-3=(xy-y)+remainder *distributive property
Now we just need to figure out what polynomial goes in for the remainder so this will be a true identity.
We need to get rid of minus y so we need plus y in the remainder.
We also need minus 3 in the remainder.
So the remainder is y-3.
Let's try it out:
xy-3=(xy-y)+remainder
xy-3=(xy-y)+(y-3)
xy-3=xy-3 is what we wanted so we are done here.
The early withdrawal fee on this account is $6.25
Step-by-step explanation:
Suppose you buy a CD for $1000
- It earns 2.5% APR and is compounded quarterly
- The CD matures in 5 years
- Assume that if funds are withdrawn before the CD matures, the early withdrawal fee is 3 months' interest
We need to find the early withdrawal fee on this account
∵ The annual interest is 2.5%
- Change it to decimal
∵ 2.5% = 2.5 ÷ 100 = 0.025
∴ The annual interest rate is 0.025
∵ The interest is compounded quarterly
∴ The interest rate per quarter = 0.025 ÷ 4 = 0.00625
∵ The early withdrawal fee is 3 months' interest
∵ You buy the CD for $1000
∵ A quarter year = 3 months
∴ The early withdrawal fee = 1000 × 0.00625 = $6.25
The early withdrawal fee on this account is $6.25
Learn more:
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Answer:
3+2c
Step-by-step explanation:
To translate the phrase into an algebraic expression, you have to analyze the information provided. Three dollars more than twice the cost of a bowl of soups means that given that c is the costs of a bowl of soup, you have to multiply c for 2 as the phrase says twice the cost. Also, it says three dollars more which means that you have to add 3. According to this, the expression is: 3+2c.
Answer:
9. Option D, 2(3x + 5) and 6x + 10
10. 9 + 3 (10÷2) - 5² = -1
Hope this helps!
