Answer:
After 40 weeks
Step-by-step explanation:
To get the answer to this question, we need to first know the difference in the amount of money deposited by the 2 individuals and in this case it us $400 since one deposited $500 and the other $100
The next thing to do is to divide the difference in amount(400) by the amount contributed by each person per week.
Catherine deposits $20 per week
400/20 = 20
Lance deposits $10 per week
400/10 = 40
The LCM between 40 and 20 is 40 weeks.
Therefore, both individuals need to deposit money for 40 weeks for both of their savings to be the same.
If Catherine deposits $20 for 40 weeks,she will have 40 × 20 = $800 + $100(initial deposit that she made) = $900
Lance deposits $10 for for 40 weeks and he will have 40 × 10 = $400 + $500(initial deposit made by him)= $900
Alright. For the first one, we must think, thirty percent of what number is equal to twelve? We can right that in equation form as
Answer:
False.
Step-by-step explanation:
If we substitute a for 6, the inequality would become 6 > 6. That is not true because 6 cannot be greater than itself.
Answer: 0.25g<2.50.... g<10
Step-by-step explanation: Let us say that the number of gumballs bought is represented by the variable g. In this case, the question is asking how many gumballs can be bought without surpassing the price of $2.50. We know that each gumball is $0.25, therefore the number of gumballs we buy times $0.25 has to be less than $2.50. Hence, the inequality would be 0.25g<2.50. If we were to solve this then g<2.50/0.25-----> g<10. In conclusion, the number of gumballs you can buy has to be less than 10. Thank you!
Answer:
Identity is verified.
Step-by-step explanation:
We have to verify the identity 
To prove any identity we always prove one side(either left hand side or right hand side) of the equation equal to the other side.
In this identity we take the left hand side first

(as we know cos(a+b) = cosa×cosb-sina×sinb)


= - sinx ( Right hand side)
Hence identity is proved.