Answer: Daniel has $22 in his savings account balance.
Step-by-step explanation:
Let Daniel's savings account balance be x
and Henry's savings account balance be y, then as given Daniel's savings account balnce is 20 times that of Henry's, We get
...........(1)
And also total amount of both savings account is $462 so we get
......(2)
Now by substituting values of x from (1) into (2) we get,

And 
So, Daniel's savings account balance is $440
and Henry's savings account balance is $22
The answer would be the following: f(x)=5^x
Answer:
(4,3)
Step-by-step explanation:
Given
x^2+y^2=25
x-y^2=-5
In order to solve the equations, from equation 2 we get
-y^2= -5-x
y^2=5+x
Putting the value of y^2 in equation 1
x^2+5+x=25
x^2+5-25+x=0
x^2+x-20=0
x^2+5x-4x-20= 0
x(x+5)-4(x+5)=0
(x+5)(x-4)=0
So
x+5=0 x-4=0
x=-5 x=4
Now for x=-5
x^2+y^2=25
(-5)^2+y^2=25
25+y^2=25
y^2=25-25
y^2=0
so Y=0
And for x = 4
x^2+y^2=25
(4)^2+y^2=25
16+y^2=25
y^2=25-16
y^2=9
y= ±3
So the solution to the system of equations is
(-5,0) , (4,3), (4,-3)
The only solution that belongs to first quadrant is (4,3)