Answer:
x=16 and y=9
Step-by-step explanation:
2y+30=3y+21[Diagonals of parallelogram are equal]
30-21=3y-2y
y=9
3y=2x-5[Diagonals of parallelogram are equal]
3×9=2x-5
27=2x-5
2x=27+5
x=32/2=16
Answer:
the last one is the answer of it
Answer:
(-3, -2)
Step-by-step explanation:
Look at the second equation, we can easily rearrange it to make x the subject.
x - 4y = 5
x = 4y + 5
Now lets put that into the second equation
2x - 2y = -2
2(4y + 5) - 2y = -2
6y + 10 = -2
6y = -12
y = -2
Now lets find x!
x = 4y + 5
x = 4(-2) + 5
x = -3
Now lets format the answer like the question says (ordered pair)
(-3, -2)
Recap: We used substitution and made an equation to work out one of the variables first, then found the second variable using the first.
$20,000 is between $15,000 and $49,999, so we'll use the interest rate of 6.5% (see row 3)
r = 6.5% = 6.5/100 = 0.065
We'll use the decimal form of the interest rate as it is most common for financial math problems.
P = 20,000 is the amount deposited
t = 1 year is the amount of time
We will plug those values into the formula
i = P*r*t
to get the following:
i = P*r*t
i = 20000*0.065*1
i = 1300
So Mark earns $1,300 in simple interest each year.
