Answer: 4 a - 3 b
Step-by-step explanation:
Since, the perimeter of the triangle = sum of all the three side of the triangle.
Here, two sides of the triangle are 2a + b and a - 9b,
And, the perimeter of the triangle = 7 a - 11
Let third side = x
Therefore, 2 a + b + a - 9 b + x = 7 a - 11 b
⇒ 3 a - 8 b + x = 7 a - 11 b
⇒ x = 7 a - 11 b - 3 a + 8 b
⇒ x = 4 a - 3 b ( by operating like terms)
Answer:

Step-by-step explanation:
The standard compound interest formula is given by:

Where A is the amount afterwards, P is the principal, r is the rate, n is the times compounded per year, and t is the number of years.
Since we are compounding annually, n=1. Therefore:

Lester wants to invest $10,000. So, P=10,000.
He wants to earn $1000 interest. Therefore, our final amount should be 11000. So, A=11000.
And our timeframe is 3.3 years. So, t=3.3. Substituting these values, we get:

Let’s solve for our rate r.
Divide both sides by 10000:

We can raise both sides to 1/3.3. So:

The right side will cancel:

So:

Use a calculator:

So, the annual rate of interest needs to be about 0.03 or 3% in order for Lester to earn his interest.
<u>Answer:</u>
The correct answer option is B. 2 = 3x + 10x^2
<u>Step-by-step explanation:</u>
We are to determine whether which of the given equations in the answer options can be solved using the following expression:

Here,
and
.
These requirements are fulfilled by the equation 4 which is:

Rearranging it to get:

Substituting these values of
in the quadratic formula:


Answer:
what is this sy man i dnt get it
Step-by-step explanation:
1.98
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