keeping in mind that
x = percent rate for the 17000 investment.
y = percent rate for the 11000 investment.
so the amount for the 17000 interest will just be (x/100) * 17000, or namely 170x.
and the amount of interest earned for the 11000 is (y/100) * 11000, or just 110y.
now, regardless of what "x" and "y" are, we know that the interest from the 17000 is higher by 308 bucks, therefore 170x = 110y + 308.
we also know that the rate of <u>x</u> is higher as well than <u>y</u> by 0.4%, so then x = y + 0.4.
Answer:
$43 million
Step-by-step explanation:
<h3>Step 1. Turn the sentence into an equation (total = T)</h3>
15.4 million = 0.36 (T)
<h3>Step 2. Solve for T </h3>
15,400,000 / 0.36 = T
42,777,777.78 = T
$42.8 million ≈ $43 million (rounded)
The final answer rounded to the nearest million is $43 million. This makes sense since $15.4 was only 36% of this total. Checking our math, 36% of $43 million is $15.4 million!
Hope this helps :)
Answer: $14.85
Step-by-step explanation: 8.98+3.27+1.50=13.75
13.75 x 0.08=1.1
13.75 + 1.1= 14.85
Answer:
Step-by-step explanation:
The general solution will be the sum of the complementary solution and the particular solution:
In order to find the complementary solution you need to solve:
Using the characteristic equation, we may have three cases:
Real roots:
Repeated roots:
Complex roots:
Hence:
Solving for :
Since we got complex roots, the complementary solution will be given by:
Now using undetermined coefficients, the particular solution is of the form:
Note: was multiplied by x to account for and in the complementary solution.
Find the second derivative of in order to find the constants and :
Substitute the particular solution into the differential equation:
Simplifying:
Equate the coefficients of and on both sides of the equation:
So:
Substitute the value of the constants into the particular equation:
Therefore, the general solution is:
The instructions tell you the triangles are congruent. Provided this, you know each angle of one of them has a spot on the other triangle. f=q so you could simply set them equal to each other.(2x+10)=(3x+1). Subtract 2x from both sides and 1 from both sides. this gives you x=9 aka C. Gl!