In the standardized calculations used in the United States, c is given by the formula<span>: For example, for a home loan of $200,000 with a fixed yearly interest rate of 6.5% for 30 years, the principal is , the </span>monthly<span> interest rate is , the number of </span>monthly payments<span> is , the fixed </span>monthly payment<span> equals $1,264.14.</span>
Answer:
92 attendees had activity cards
Step-by-step explanation:
Let x be the number of students with activity cards. Then 130-x is the number without, and the total revenue is ...
7x +10(130 -x) = 1024
7x +1300 -10x = 1024 . . . . eliminate parentheses
-3x = -276 . . . . . . . . . . . . . collect terms; subtract 1300
x = 92 . . . . . . divide by 3
92 students with activity cards attended the dance.
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<em>Comment on the solution</em>
Often, you will see such a problem solved using two equations. For example, they might be ...
Let 'a' represent the number with an activity card; 'w' the number without. Then ...
- a+w = 130 . . . . the total number of students
- 7a +10w = 1024 . . . . the revenue from ticket sales
The problem statement asks for the value of 'a', so you want to eliminate w from these equations. You can do that using substitution. Using the first equation to write an expression for w, you have ...
w = 130-a
and making the substitution into the second equation gives ...
7a +10(130 -a) = 1024
This should look a lot like the equation we used above. There, we skipped the extra variable and went straight to the single equation we needed to solve.
Answer:
f(x) = -2.5x + 4
Step-by-step explanation:
If you go down 5 units and 2 units to the right then there is another point so the slope is -5/2 which is the same thing as -5 divided by 2. So it’s -2.5 as the slope and for the y- intercept, there is only one point on there and it is on 4. So the function is
f(x) = -2.5x + 4
I hope this helps
(I deserve to be marked the brainliest)
Answer:
One solution
Step-by-step explanation:
The given equation is;
Group similar terms;
Combine the similar terms to get;
Multiply both sides by -1 to obtain;
Therefore, there exist only one solution.
Answer:
Peter should join <u>Lab thinkers</u> to receive a better deal.
Science buddies costs <u>190$</u> for six months.
Lab thinkers costs <u>170$</u> for six months.
Step-by-step explanation:
The equations are...
Science buddies: 10+30x -> 10+30(6)=190
Lab thinkers: 45+25x -> 45+25(6)=170
Peter saves 20$ if he chooses lab thinkers.
Sorry for my mistake, this is my new edit.