Martha makes an investment of $500 in an account that pays 6% interest compounded monthly. Write an equation you could use to determine the interest she earns in t years

Step-by-step explanation:

We would apply the formula for determining compound interest which is expressed as

A = P(1+r/n)^nt

Where

A = total amount in the account at the end of t years

r represents the interest rate.

n represents the periodic interval at which it was compounded.

P represents the principal or initial amount deposited.

t represents the number of years.

From the information given,

P = $500

r = 6% = 6/100 = 0.06

n = 12 because it was compounded 12 times in a year.

An equation that could be used to determine the interest she earns in t years is

A = 500(1+0.06/12)^12 × t

A = 500(1+0.005)^12t

A = 500(1.005)^12t

the system of inequity is

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

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

the related equation of solid line is .

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

the related equation of dashed line is

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).

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 . the required inequality is

similarly, check the second related equation.

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

i wish i could you, i have no idea how to answer this

step-by-step explanation: