Given that Jean bought a $ 1,980 snow thrower through an initial payment of 10% of the initial value, and 18 monthly payments of $ 116, to determine the final price paid by Jean, the following calculation is required:

(1,980 x 0.1) + (18 x 116) = X

198 + 2,088 = X

2,286 = X

Therefore, the final price paid for Jean was $ 2,286.

In turn, the finance charge arises from the difference between the final price and the list price, that is:

2,286 - 1,980 = X

306 = X

Thus, the finance charge is $ 306.

8 0

3 years ago

You notice a hot air balloon descending. The elevation h (in feet) of the balloon is modeled by the function h(x)=−11x+330, wher

Mars2501 [29]

Answer:

1) Please find attached, the graph of the function

The domain of the function is 0 ≤ x ≤ 30

The range of the function is 330 ≥ x ≥ 0

2) The slope of the given equation, shows that the elevation decreases, by (-)11 feet for each increase in time by one second

3) The y-intercept gives the initial elevation of the balloon at time t = 0 seconds

The x-intercept gives the final elevation of the balloon when it lands at time t = 30 seconds

Step-by-step explanation:

1) The function modelling the height of the balloon is h(x) = -11x + 330

Where;

x = The time of elevation of the balloon

The data for the graphing derived from Microsoft Excel are as follows

x ${}$ h(x)

0 ${}$ 330

5 ${}$ 275

10 ${}$ 220

15 ${}$ 165

20 ${}$ 110

25 ${}$ 55

30 ${}$ 0

Please find attached, the graph of the function

The domain of the function is 0 ≤ x ≤ 30

The range of the function is 330 ≥ x ≥ 0

Comparing the given function to the general equation of a straight line, y = m·x + c, we have that the slope, m = -11

2) The slope of a straight line graph gives the rate of change of the dependent variable, per unit change in the independent variable

Therefore, the slope of the given equation, -11 gives the rate of change of the function per unit increase in the independent variable x

Therefore, the elevation decreases, by (-)11 feet for each increase in time by one second

3) The y-intercept gives the initial elevation of the balloon at time t = 0 seconds

The x-intercept gives the final elevation of the balloon when it lands at time t = 30 seconds

8 0

3 years ago

Read 2 more answers

H. Four businessman invested a sum of Rs.

balandron [24]

Answer:

The answers are in solutions.

Step-by-step explanation:

Four businessmen invested a sum of Rs. 250,000 in the ratio of 3:5:7:10 to start a new business.

(i) The amount invested by each businessman is;

1^st businessman invested:

$\frac{3}{25} * 250,000 =$ Rs. 30,000

2^nd businessman invested:

$\frac{5}{25} * 250,000$ = Rs. 50,000

3^rd businessman invested:

$\frac{7}{25} *250,000$ = Rs. 70,000

4^th businessman invested:

$\frac{10}{25} *250,000$ = Rs. 100,000

If they gained Rs. 50,000

(ii) The profit each one of them got is;

1^st businessman got:

$\frac{3}{25} * 50,000$ = Rs. 6,000

2^nd businessman got:

$\frac{5}{25} *50,000$ = Rs. 10,000

3^rd businessman got:

$\frac{7}{25} *50,000$ = Rs. 14,000

4^th businessman got:

$\frac{10}{25} *50,000$ = Rs. 20,000

8 0

3 years ago