Answer:
There are 32 dogs and 72 animals in total.
Step-by-step explanation:
In order to find the amount of dogs, you need to set up an equation to solve for the missing variable. Let 'c' be the amount of cats and 'd' be the amount of dogs. We know that there are 40 cats, so c = 40. We also know that there are 25% more cats than dogs, so we can form an equation to express this difference: 1.25d = c, indicating that the number of cats is equal to the total number of dogs, plus an additional 25%. Since we know c = 40, we can set our second equation equal to 40: 1.25d = 40. Using inverse operations, we divide both sides by 1.25 to get d = 32. So, d + c, or 32 + 40 = 72 total animals.
Answer:
the answer for the problem is 15 .
Step-by-step explanation:
total muffins =?
muffins left=14
muffins missing=1
14 +1=15
there were fifteen muffins altogether .
Answer:
972
Step-by-step explanation:
The first term is (9x)^3, so the coefficient of x is 9. Since the degree is 3, the second term must have a multiplier of (3 choose 1). 1458 / (3 choose 1) = 486.
486 / (9^2) = 6. Therefore, the coefficient of y must be 6. Since the second term is negative, the coefficient of y is also negative. Thus, this can be written as (9x-6y)^3. Solving for the xy^2 term gives us (3 choose 2) * 9 * 6^2 =
or the third option.
The annual interest rate is 20.4% which is a 20.4/12 = 1.7% monthly rate.
1.7% = 0.017
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Month 1:
interest = 0.017*(current balance)
interest = 0.017*(1045.87)
interest = 17.77979
interest = 17.78
---------
principal = payment - interest
principal = 490 - 17.78
principal = 472.22
---------
new balance = (old balance) - principal
new balance = (1045.87) - 472.22
new balance = 573.65
at the end of month 1, the balance is $573.65
So far, you have paid $490
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Month 2:
interest = 0.017*(current balance)
interest = 0.017*(573.65)
interest = 9.75205
interest = 9.75
---------
principal = payment - interest
principal = 490 - 9.75
principal = 480.25
---------
new balance = (old balance) - principal
new balance = (573.65) - 480.25
new balance = 93.40
At the end of month 2, the balance is $93.40
So far, you have paid 490+490 = 980 dollars
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Month 3:
The current balance of $93.40 is less than $490, so we don't have to pay the full $490. We can simply pay off the remaining balance.
Add this to the current total paid amount so far to get 980+93.40 = 1,073.40
I'm not sure if I made a rounding error somewhere or if there is a typo. The closest answer choice I see is choice B. So I'm thinking the answer is choice B. I'd get a second opinion or ask the teacher on this one.