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3 years ago

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Sheila bought a new computer for $2000 and has agreed to finance it at 12% interest, with $100 payments each month. When she mak

es her first payment next month, how much will she pay for interest alone?

1 answer:

mylen [45]3 years ago

5 0

Answer:

rate per month = .01 agreed = r

Luckily they only ask for the first month so it is 0.01 * 20 .

Later months get more complicated and it is like paying off a mortgage with the term unknown but the rate and payment known.

Payment = principal value [ r / {1-(1+r)^-n } ]

100 = 2000 [ .01 / {1 - (1.01)^-n } ]

5 = 1/ {1 - (1.01)^-n }

.2 = 1 - (1.01)^-n

.8 = 1.01^-n

log .8 = -n log 1.01

n = 22.4 months :)

so over the almost two years pay 2240 total :)

<em>* Hopefully this helps:) Mark me the brainliest:)!!!</em>

<em></em>

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Region C.

A point in this region is:

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So let's find out the signs of each inequality by substituting this point in them:

$y \ (?)-0.5x+5 \\ 10 \ (?) -0.5(0)+5 \\ 10 \ (?) \ 5 \\ 10\ \textgreater \ 5 \\ \\ y \ (?) \ -1.25x+8 \\ 10 \ (?) -1.25(0)+8 \\ 10 \ (?) \ 8 \\ 10 \ \ \textgreater \ \ 8$

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A point in this region is:

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So let's find out the signs of each inequality by substituting this point in them:

$y \ (?)-0.5x+5 \\ 0 \ (?) -0.5(8)+5 \\ 0 \ (?) \ 1 \\ 0 \ \ \textless \ \ 1 \\ \\ y \ (?) \ -1.25x+8 \\ 0 \ (?) -1.25(8)+8 \\ 0 \ (?) \ -2 \\ 0 \ \ \textgreater \ \ -2$

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The coordinate of a point within a region must satisfy the corresponding system of inequalities. For each region we have taken a point to build up our inequalities. Now we will take other points and prove that these are the correct regions.

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Let's take a point that is in this region, that is:

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Let's take a point that is in this region, that is:

$P(0,11)$

Substituting in the inequalities:

$y \geq -0.5x+5 \\ 11 \geq -0.5(0)+5 \\ \boxed{11 \geq \ 5} \\ \\ y \geq \ -1.25x+8 \\ 11 \ \geq -1.25(0)+8 \\ \boxed{11 \geq \ 8}$

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$y \leq -0.5x+5 \\ 0 \leq -0.5(9)+5 \\ \boxed{0 \leq \ 0.5} \\ \\ y \geq \ -1.25x+8 \\ 0 \geq -1.25(9)+8 \\ \boxed{0 \geq \ -3.25}$

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