The value of the painting in 5 years is $4,320.36
<h3>Expoential functions</h3>
The standard exponential function is expressed as:
Given the following
- P = $3800
- r = 2.6% = 0.026
- t = 5 years
Substitute into the formula
A = 3800(1+0.026)^5
A = 3800(1.026)^5
A = 4,320.36
Hence the value of the painting in 5 years is $4,320.36
Learn more on exponential function here: brainly.com/question/12940982
Answer:
3x+8=0
x=-8/3The face of the denominator must be 0
And the face and denominator of the fraction must be positive
Step-by-step explanation:
Answer:
The graph in the attached figure
Step-by-step explanation:
we know that
The equation of a vertical parabola in vertex form is equal to
where
a is a coefficient
(h,k) is the vertex
In this problem we have
(h,k)=(1,-4)
substitute
we have
An x-intercept of (-1,0)
substitute and solve for a
The equation is
<u><em>Verify the y-intercept</em></u>
For x=0
The y-intercept is the point (0,-3) -----> is correct
using a graphing tool
see the attached figure
Answer:
all real numbers
Step-by-step explanation:
Here is the solution to the first inequality:
3(2x +1) > 21 . . . . . . given
6x +3 > 21 . . . . . . . . eliminate parentheses
6x > 18 . . . . . . . . . . .subtract 3
x > 3 . . . . . . . . . . . . divide by 6
This is all numbers to the right of 3 on the number line.
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The solution to the second inequality is ...
4x +3 < 3x + 7 . . . . given
x < 4 . . . . . . . . . . . . subtract 3x+3
This is all numbers to the left of 4 on the number line.
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The conjunction in the system of inequalities is "or", so we are looking for values of x that will satisfy at least one of the conditions. <em>Any value of x</em> will satisfy one or the other or both of these inequalities. The solution is all real numbers.
