What is the next number in this pattern? 1,7,8,15,23,38,61
1 answer:
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Answer:
B. 10 months
Step-by-step explanation:
The balance on the loan will be ...
b = 1600 - 80t . . . . . . where t is the number of months of payments
The balance in the savings account will be ...
s = 500 + 25t
The savings account balance will be at least as much as the loan balance when ...
s ≥ b
500 +25t ≥ 1600 -80t . . . substitute the account balance expressions
105t ≥ 1100 . . . . . . . . . . . . add 80t -500
t ≥ 1100/105 ≈ 10.48 ≈ 10
It will take Josh 10 months to have enough savings to pay the loan in full.
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<em>Comment on rounding</em>
IMO, it makes no sense to round down, as Josh will NOT have enough in 10 months. He will have enough after he makes one more payment of $80. At 10 months, the loan balance is $50 more than the savings balance. It will be 11 months before there is enough savings to pay off the loan.
<h2>Hello!</h2>
The answers are:
- Length
- Width
- Area
We are given the perimeter of a rectangular mat, and we are asked to find the area, and write an equation to determine the length, if feet, of the mat. To solve this problem we need to remember the equation of the perimeter of a rectangle, which is:
Using the given information we have,
Also, we know that the length is twice the width, so:
Then, substituting the second equation into the first equation, we can find the width of the mat.
Substituting, we have:
\\width=\frac{36feet}{6} =6feet[/tex]
Then, substituting the width into the second equation, we can find the length of the mat,
Substituting, we have:
Then, finding the area, we have:
Have a nice day!