Answer:
The principal amount was $23,393.45
Step-by-step explanation:
The total amount paid on a 35 year loan was $98,000 at the rate of interest 4.1%
We will calculate Principal amount by this formula
Where A = amount (98,000)
P = Principal amount (P)
r = rate of interest 4.1% (0.041)
n = number of compounding interest monthly (12)
t = time (35 years)
98,000 = P(4.189386)
= 4.189386P = 98,000
P = 
P = 23,392.4494 ≈ $23,392.45
The principal amount was $23,393.45
Answer:
2.Solve for the first variable in one of the equations, then substitute the result into the other equation.
Point Form:
(
3
,
5
)
Equation Form:
x
=
3
,
y
=
5
3.Solve for the first variable in one of the equations, then substitute the result into the other equation.
Point Form:
(
2
,
8
)
4.Solve for the first variable in one of the equations, then substitute the result into the other equation.
Point Form:
(
2
,
−
3
)
Step-by-step explanation:
Answer:
Step-by-step explanation:
Okay, so I think I know what the equations are, but I might have misinterpreted them because of the syntax- I think when you ask a question you can use the symbols tool to input it in a more clear way, otherwise you can use parentheses and such.
Problem 1:
(x²)/4 +y²= 1
y= x+1
*substitute for y*
Now we have a one-variable equation we can solve-
x²/4 + (x+1)² = 1
x²/4 + (x+1)(x+1)= 1
x²/4 + x²+2x+1= 1
*subtract 1 from both sides to set equal to 0*
x²/4 +x^2+2x=0
x²/4 can also be 1/4 * x²
1/4 * x² +1*x² +2x = 0
*combine like terms*
5/4 * x^2+2x+ 0 =0
now, you can use the quadratic equation to solve for x
a= 5/4
b= 2
c=0
the syntax on this will be rough, but I'll do my best...
x= (-b ± √(b²-4ac))/(2a)
x= (-2 ±√(2²-4*(5/4)*(0))/(2*(5/4))
x= (-2 ±√(4-0))/(2.5)
x= (-2±2)/2.5
x will have 2 answers because of ±
x= 0 or x= 1.6
now plug that back into one of the equations and solve.
y= 0+1 = 1
y= 1.6+1= 2.6
Hopefully this explanation was enough to help you solve problem 2.
Problem 2:
x² + y² -16y +39= 0
y²- x² -9= 0
Answer: 61 people have worked on this worksheet so far.
Step-by-step explanation:
Given: 80% people try to do this ratio and proportion worksheet find they need some help with the problems.
Let x be the total number of people worked on this worksheet so far.
People need some help with the problems. =80% of x = 0.80x
As per given,
0.80x=49
Hence, 61 people have worked on this worksheet so far.
Answer:
no
Step-by-step explanation:
because they have 2 different answers
