The length, l, is 2 more than twice the width, w.
l= 2w+2 (2 more than twice w)
In a rectangle, we have two of the same lengths and two of the same widths.
2l+2w=34
Divide by 2 on each side.
l+w=17
We remember that l is 2w+2
Substituting that back in we get,
2w+2+w=17
3w+2=17
3w=15
w=5
We sub w back into l+w=17
l+5=17
l=12
The dimensions are 5 by 12 inches.
Answer: Rational number
It is a rational number because it is a fraction of two integers. Those two integers being -15 and 2.
In general, any rational number is of the form P/Q where P and Q are integers. The Q cannot be zero. Another example of a rational number is 2/3. In this example, P = 2 and Q = 3.
Going back to -15/2, we would have P = -15 and Q = 2.
The fraction -15/2 is not a whole number nor is it an integer. This is because -15/2 = -7.5 and this is sufficient to see we don't have an integer result. We would need to have nothing after the decimal point to get a whole number.
When counting any sequence, it helps to have a simpler sequence to compare it to. The simplest one that I can think of is
because you instantly can tell the number of terms in the sequence by looking at the last number. We can see from the graph that the first few terms of the sequence a are 1, -3, -7, and we're told that its last term is -83. Our goal then is to turn this sequence:
into this one:
The first thing which stands out in this sequence is the number of negative terms, so let's fix that by multiplying every term by -1:
Now, the main property of any arithmetic sequence is that they <em>increase or decrease by some constant amount</em>. Here, that number is 4, since -3 = 1 - 4 and -7 = -3 - 4. Knowing the importance of 4 in this sequence, our next step might be to turn every term into a multiple of 4 by adding 1:
and since we're dealing with multiples of 4, a natural next step might be to divide every term by 4:
And lastly, we can add 1 to every term to get our sequence into easily-countable form:
So, the sequence a has 22 terms.
Answer:
27,000,00
Step-by-step explanation:
The Interest rate is 5% and the borrowed money is $20m. You have to multiply $20m by 5%, which gives you 1m. Then for each year, you must add the $1m to the overall money($20m), meaning you have to add $1m dollars to $20m for 7 years. After the 7 years, there are $7m for interest, and in addition to that, you must add it to $20m. Therefore, overall, Antony would have to pay $27m after 7 years.
