The number of weeks it will take both Sam and Marshall to have the same amount of savings in their accounts is 48 weeks
Given:
<em>Amount with Sam </em>= $2,500
<em>Additional savings each week</em> = $40
<em>Amount with Marshal</em> = $7,300
<em>Amount spent each week</em> = $60
let
x = <em>number of weeks</em>
<em>Sam equation:</em>
2500 + 40x
<em>Marshall's equation:</em>
7300 - 60x
Equate both
2500 + 40x = 7300 - 60x
<em>collect like terms</em>
2500 - 7300 = - 60x - 40x
-4800 = -100x
divide both sides by - 100
x = -4800 / -100
x = 48 weeks
Therefore, the number of weeks it will take both Sam and Marshall to have the same amount of savings in their accounts is 48 weeks
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Answer:
A. Point H is the center of the circle that passes through points D, E, and F.
C. Line segment H E is-congruent-to line segment H D
Step-by-step explanation:
The center of a circle is a point within it that has the same distance to all other points on its circumference.
Constructing a circle with center H would pass through the points D, E and F at the three vertices of the given triangle. Thus producing a circumscribed circle to the triangle. A circumscribed circle is one that can is constructed outside a given figure.
It can also be observed that, DH ≅ EH ≅ FH. So that, the line segment HE is congruent to line segment HD.
The correct options in the given question are: A and C.
Answer:
Horizontal asymptote of the graph of the function f(x) = (8x^3+2)/(2x^3+x) is at y=4
Step-by-step explanation:
I attached the graph of the function.
Graphically, it can be seen that the horizontal asymptote of the graph of the function is at y=4. There is also a <em>vertical </em>asymptote at x=0
When denominator's degree (3) is the same as the nominator's degree (3) then the horizontal asymptote is at (numerator's leading coefficient (8) divided by denominator's lading coefficient (2)) 
Answer:
the larger number is 69
the smaller number is 16
Step-by-step explanation:
x is the smaller number
y is the larger number
x + y = 85
y - 4x = 5
y = 5 + 4x
x + 5 + 4x = 85
5x = 80
x = 16
y = 69
