Answer:
Step-by-step explanation:
Let's find a particular solution. We need a function of the form 
such that
and
then, 3a= 8, 2b+6a =0 and c+2b = 0. With the first equation we obtain
a = 8/3 and replacing in the second equation 2b+6(8/3) = 2b + 16 = 0. Then, b = -8. Finally, c = -2(-8) = 16.
So, our particular solution is 
.
Now, let's find the solution 
of the homogeneus equation 
with the method of constants coefficients. Let 
then 
and 
.
So, 
and the solution is
.
Let's solve your inequality step-by-step.
<span><span><span>5x</span>+3</span>><span><span>4x</span>+7
</span></span>Step 1: Subtract 4x from both sides.
<span><span><span><span>5x</span>+3</span>−<span>4x</span></span>><span><span><span>4x</span>+7</span>−<span>4x
</span></span></span><span><span>x+3</span>>7
</span>Step 2: Subtract 3 from both sides.
<span><span><span>x+3</span>−3</span>><span>7−3
</span></span><span>x>4
</span>Answer:
<span>x><span>4</span></span>
Answer:
A = $1,545.00
(I = A - P = $45.00)
Equation:
A = P(1 + rt)
Explanation:
First, converting R percent to r a decimal
r = R/100 = 4%/100 = 0.04 per year.
Putting time into years for simplicity,
9 months / 12 months/year = 0.75 years.
Solving our equation:
A = 1500(1 + (0.04 × 0.75)) = 1545
A = $1,545.00
The total amount accrued, principal plus interest, from simple interest on a principal of $1,500.00 at a rate of 4% per year for 0.75 years (9 months) is $1,545.00.
Answer:
we can use centeroid formula of a triangle
that is (x1+x2+x3)/3
hope that helps : )
