9514 1404 393
Answer:
$2038.85
Step-by-step explanation:
The value of the loan at that point is given by ...
A = P(1 +rt) . . . . . Principal P, rate r, time t (years)
A = $1850(1 + 0.1225·(10/12)) = $2038.85
Ricardo will have paid back $2038.85 at the end of the loan period.
_____
<em>Additional comment</em>
We assume that the loan accrues simple interest and that the amount due is the sum of principal and interest at the end of the loan period.
The question is not specific as to whether interest compounds, or whether intermediate (monthly) payments are made. There are many possible ways the loan could be repaid, generally involving different amounts for the different terms.
2x^2-8x-24=0
Divide the whole equation by 2.
x^2-4x-12=0
Complete the square
x^2-4x+4-16=0
(x-2)^2 -16=0
(x-2)^2=16
Take the square root of each side.
(x-2)=4 and (-(x-2))=4
x=6 and x=-2
Answer:
(1, 10 )
Step-by-step explanation:
Given the 2 equations
- 9x - y = - 19 → (1)
5x + y = 15 → (2)
Adding the 2 equations term by term will eliminate the y- term
- 4x + 0 = - 4
- 4x = - 4 ( divide both sides by - 4 )
x = 1
Substitute x = 1 into either of the 2 equations and solve for y
Substituting into (2)
5(1) + y = 15
5 + y = 15 ( subtract 5 from both sides )
y = 10
solution is (1, 10 )
Answer:
a. 20.5
Step-by-step explanation:
because this will form a right triangle we can use tan (opposite over adjacent) so an equation we could set up would be tan(70)=25/x
therefore we can just solve the equation which would give us 20.45. so if we round it the answer would be a
Answer:
(-4,9)
Step-by-step explanation:
To solve the system of equations, you want to be able to cancel out one of the variables. In this case, it'd be easiest to cancel out the x variables. To do this, you'll want to multiply everything in the first equation by 2 (2(x-5y=-49)=2x-10y=-98). Then, you can add the two equations together. 2x and -2x will cancel out, so you'll be left with -11y=-99. Next, solve for x by dividing both sides of the equation by -11, which will give you y=9. This is your y-coordinate! At this point, you're halfway to the answer as you just need your x-coordinate. It's not too difficult to find the x-coordinate, since you just substitute 9 into one of the equations. It doesn't matter which one you choose as you should get the same answer with both. I usually substitute the y-value into both equations, though, just to make sure I'm correct. Once you put the y-value into the equations, you should get x=-4 after solving it. :)
