Mathematics, 25.08.2020 19:01 Molly05

hey can u pls answer this question i am really stuck I will award brainliest for the first correct answer

hey can u pls answer this question i am really stuck I will award brainliest for the first correct

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Answer from: jor66

Answer for the first box = 6000

Answer for the second box = 1.004

Answer for the third box = 720

So the full equation is $C(t) = 6000(1.004)^{12t} + 720t$

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Explanation:

The compound interest formula is

A = P( 1+r/n )^(n*t)

where

P = amount deposited (principal)r = interest rate in decimal formn = number of times we compound per year (compounding frequency)t = number of years

In this case,

P = 6000r = 4.2% = 4.2/100 = 0.042n = 12 since there are 12 months in a year (it explains the 12 in the exponent in the answer)t = unknown, we leave this as is

So we go from this

A = P( 1+r/n )^(n*t)

to this

A = 6000( 1+0.042/12 )^(12t)

A = 6000(1.0035)^(12t)

A = 6000(1.004)^(12t)

The 1.0035 rounded to 1.004 when rounding to three decimal places, as the instructions mention.

So far we only considered the amount placed into the bank. But there's also the amount placed in the safe at home. We have $60 placed in here per month. This is 60*12 = 720 dollars per year. If t years go by, then a total of 720t dollars is put in the safe.

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So in summary we found

$b(t) = 6000(1.004)^{12t}$ = amount in savings account after t years go by

h(t) = 720t = amount in safe after t years

leading to

$C(t) = b(t) + h(t) = 6000(1.004)^{12t} + 720t$

Answer from: Quest

the system of inequalities is

$y> (1/3)x$

$y\leq-x+4$

step-by-step explanation:

step 1

find the equation of the dashed line

we have the points

(0,0) and (3,1)

the line passes through the origin, so, is a direct variation

find the slope

$m=y/x=1/3$

the equation of the dashed line is

$y=(1/3)x$

the solution of the inequality a s the shaded area above the dashed line

therefore

the equation of the inequality a is

$y> (1/3)x$

step 2

find the equation of the solid line

we have the points

(4,0) and (0,4)

find the slope

$m=(4-0)/(0-4)=-1$

the equation of the solid line is

$y=-x+4$

the solution of the inequality b s the shaded area below the solid line

therefore

the equation of the inequality b is

$y\leq-x+4$

step 3

the system of inequalities is

$y> (1/3)x$

$y\leq-x+4$

Answer from: Quest

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