Answer:
Michael and Carlos will have the same amount after 7 weeks
Step-by-step explanation:
Assume the total number of baseball cards that Carlos and Michael need to have to be equal is y, and the amount of time in terms of weeks that it will take for this to be achieved is x.
The following expressions can be derived
For Carlos to achieve y, he will need 85 and an addition of 10 per week (x):
y=85+(10x)..........equation 1
For Michael to achieve y, he will need 120 and an addition of 5 per week (x):
y=120+(5x)..........equation 2
Equating equation 1 and 2 to solve for x
85+10x=120+5x
10x-5x=120-85
5x/5=35/5
x=7
Number of weeks it will take Michael and Carlos to have the same amount=x=7 weeks
Answer:
The exact interest on $5,870 at 12% is $410.9
Step-by-step explanation:
From the information provided we know that
Principal amount: $5,870
Interest rate: 12% -> 0.12
Time: 7 months (From June to December)
When you know the principal amount, the rate, and the time, the amount of interest can be calculated by using the formula:

where P is principal, r is the rate of interest and t is the time in years.
We need to convert the 7 months into 1 year.

Now we can use the above formula

Therefore the exact interest on $5,870 at 12% is $410.9
Answer:
The answer to your equation is -47.
Step-by-step explanation:
Follow the order of operations. First do 9*5=45, and 6*-2 to get -12. Next, just finish the equation from left to right to get -47.