Mathematics, 24.03.2020 19:53 stacywashburnstu

Stephanie is taking out a loan in the amount of $15,000. Her choices for the loan are a 4-year loan at 3% simple interest and a 5-year loan at 5% simple interest. What is the difference in the amount of interest Stephanie would have to pay for each of these two loans? Question 5 options: $3,750 $4,550 $1,800 $1,950

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Answer from: yungkxng57

The difference in the amount of interests is $1950.

Step-by-step explanation:

The loan amount is $15,000.

There are two options fro Stephanie to take her loan of $15,000.

The first option is 3% simple interest for 4 years.The second option is 5% simple interest for 5 years.

To find the amount of interest, the formula used is :

Interest = Pnr /100

where,

P is the principal amount.r is the rate of interest per year.n is the number of years.

In the first case, P= 15,000 and r= 3 and n=4.

Interest = $(15000\times4\times3) / 100$

⇒ $(15000\times12) / 100$

⇒ 1800

The interest amount is $1800.

In the second case, P= 15,000 and r= 5 and n=5.

Interest = $(5000\times5\times5) /100$

⇒ $(15000\times25) /100$

⇒ 3750

The interest amount is $3750.

The difference in the amount of interest Stephanie would have to pay for each of these two loans = amount of interest from 2nd option - amount of interest from 1st option.

⇒ 3750 - 1800

⇒ 1950

The difference in the amount of interests is $1950.

Answer from: Quest

the system of inequity is

$y\leq -x+4$

$3y> x$

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

$y-y_1=\frac{y_2-y_1}{x_2-x_1}(x-x_1)$

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

$y-4=\frac{0-4}{4-0}(x-0)$

$y=-x+4$

the related equation of solid line is $y=-x+4$ .

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

$y-0=\frac{0-1}{3-0}(x-0)$

$3y=x$

the related equation of dashed line is $3y=x$

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).

$1=-0+4$

$1=4$

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 $\leq$ . the required inequality is

$y\leq -x+4$

similarly, check the second related equation.

$3(1)=0$

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

$3y> x$

15 points write a system of inequalities to represent the shaded portion of the graph

Answer from: Quest

correct answer is option b.

step-by-step explanation:

the true statement about geometric figure is option b that is one line can be drawn through all three points.

if three points are on the same plane, they can be connected by a line.

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Stephanie is taking out a loan in the amount of $15,000. Her choices for the loan are a 4-year loan...

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