Alexa has $20 in a savings account that earns 10% annually. The interest is not compounded. How much will she have in 2 years?

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Alexa has $20 in a savings account that earns 10% annually. The interest is not compounded. How much will she have in 2 years?

the system of inequity is

[tex]y\leq -x+4[/tex]

[tex]3y> x[/tex]

step-by-step explanation:

from the given graph it is noticed that we have two related lines. one is solid and another is dashed.

if a line passing through two points, then the equation of line is

[tex]y-y_1=\frac{y_2-y_1}{x_2-x_1}(x-x_1)[/tex]

the solid line passing through the points (0,4) and (4,0).

[tex]y-4=\frac{0-4}{4-0}(x-0)[/tex]

[tex]y=-x+4[/tex]

the related equation of solid line is [tex]y=-x+4[/tex].

similarly, find the related equation of dashed line. the dashed liune passing through the points (0,0) and (3,1).

[tex]y-0=\frac{0-1}{3-0}(x-0)[/tex]

[tex]3y=x[/tex]

the related equation of dashed line is [tex]3y=x[/tex]

from the given graph it is noticed that the point (0,1) lies on the shaded region, therefore the point (0,1) must be satisfied by the related equations.

check the related equations by the point (0,1).

[tex]1=-0+4[/tex]

[tex]1=4[/tex]

this statement is true if the sign of inequality is < instead of equality. since it is an solid line therefore the sign of inequality will be [tex]\leq[/tex]. the required inequality is

[tex]y\leq -x+4[/tex]

similarly, check the second related equation.

[tex]3(1)=0[/tex]

it is a dashed line, so this statement is true if the sign of inequality is > . the required inequality is

[tex]3y> x[/tex]

[tex]15 points write a system of inequalities to represent the shaded portion of the graph[/tex]

kk.bj.

step-by-step explanation:

.mnm.kn.kj

After two years Alexa will have $24.

Step-by-step explanation:

22$

Step-by-step explanation: 10% of 20 is 2 so 20 + 2 = 22.

Hope this helps! 😉