1. You purchase a car using a $15,000 loan with a 5% simple interest rate.
(a) Suppose you pay the loan off after 4 years. How much interest do you pay on your loan? Show your work. (10 points)







(b) Suppose you pay the loan off after 2 years. How much interest do you save by paying the loan off sooner? Show your work. ( 5 points)

9514 1404 393

Eexplanation:

16. Suppose the roots are α and kα. Then we can write the equation as ...

  a(x -α)(x -kα) = 0

  ax² -ax(α +kα) +akα² = 0

Comparing to the original equation, we can equate coefficients to get ...

Solving the first for α gives ...

  α = -b/(a(1+k)

Substituting into the second, we have ...

  c = ak(-b/(a(1+k)))²

Multiplying by a(1+k)², we get ...

  (1+k)²ac = kb²

Using k=2 gives ...

  9ac = 2b² . . . . . as required

__

17. Using the previous result with k=1 (equal roots), we have ...

  (1+k)²ac = kb²

  4ac = b² . . . . . for k=1

______

Additional comment

We observed that the problems were similar, but had different factors relating the roots. So, we elected to solve the general case, then fill in the specific values for the two problems.

Answer:

Step-by-step explanation:

in standard form : 2n-6p = 12

evaluate: n=3p+6

pls can you be more specific next time, hope one of these answers your question

Answer:

[tex]92.9\%[/tex]

Step-by-step explanation:

Initial amount of birdseed = 10.5 pounds

Final amount of birdseed = 12 ounces

[tex]1\ \text{ounce}=\dfrac{1}{16}\ \text{pounds}[/tex]

[tex]12\ \text{ounces}=\dfrac{12}{16}=0.75\ \text{pounds}[/tex]

Percentage change in the amount of birdseed is

[tex]\dfrac{\text{Initial-Final}}{\text{Initial}}\times 100\%=\dfrac{10.5-0.75}{10.5}\times 100\%\\ =92.9\%[/tex]

The percentage of birdseed that changed is [tex]92.9\%[/tex]

Answer:

I think it would be -2-9x but I'm not sure please let me know if it's wrong.

Answer:

Just kidding

Step-by-step explanation:

I dont know

Answer:

12x=180 -30

x= 150/12

x= 12.5°

Answer:

x = 12.5

Step-by-step explanation:

The 3 angles lie on a straight line and so sum to 180°, that is

x + 10 + 10x + x + 20 = 180, simplify

12x + 30 = 180 ( subtract 30 from both sides )

12x = 150 ( divide both sides by 12 )

x = 12.5

Answer:

8.2 meters (8.18 without rounding)

Step-by-step explanation:

27 divided by 3.3 = 8.2 meters

Answer:

Step-by-step explanation:

Only A notice the similarity

Answer:

$170

Step-by-step explanation:

Given that:

One time fee for the use of trash dumpsters = $50

Charges for demolition per hour = $15

Time period for which trash dumpsters are used per day = 8 hours

To find:

The cost of 8 hours of operation = ?

Solution:

Here, to find the required cost, we need to first multiply the number of hours with the per hour cost of using the trash dumpsters.

And then we need to add the fixed / one time cost of the trash dumpsters to find the required cost.

Cost for using it for 8 hours = [tex]8 \times 15 = \$120[/tex]

Total cost for using it for full 8 hours = Cost for using it for 8 hours + One time cost = $120 + $50 = $170

Therefore, the answer is: $170

Answer:

56.43

Step-by-step explanation:

= 33/100×171

=56.43

Answer:

Step-by-step explanation:

lol put ur books or notes or whatever behind the device and cheat

BUT I really don’t advice u to cheat just try preparing for the exam or do as much as u can and don’t waste ur time at least u would know something while solving the exam.

Answer:

2x x 3y

Step-by-step explanation:

Answer:

D

Step-by-step explanation:

300+50t=v

The required equation model would be 300 + 50t = v which is the correct answer would be an option (D).

The equation is defined as mathematical statements that have a minimum of two terms containing variables or numbers that are equal.

The $300 football Sarah spent was autographed. The football is now worth $50 more than it was when she originally bought it which is given in the question.

Since she bought an autographed football for $300

The value of the football has increased by $50 every year

So the equation models would be as:

⇒ 300 + 50t = v

Here, v represents the value of the football, and t represents the years after she purchased it.

Hence, the correct answer would be option (D).

Learn more about the equation here:

brainly.com/question/10413253

#SPJ2

Step-by-step explanation:

the regular price would be 400$

Answer:

Yes, it is a solution

Step-by-step explanation:

(x,y) (1,-3)

a. Plug in x:

y= 1-4

y = -3 yes this is correct as -3 is on y.

b. Plug in X.

y=9(1)-12

y=9-12

y=-3 yes this is also correct as this also is -3 for y.

Answer:

Step-by-step explanation:

Let the integers be:

Then their sum:

So the numbers are 25 and 26

Answer:

A = 9/100

B = -[1/100]

C = -[39/100]

Step-by-step explanation:

Given:

0.09x - 0.01y = 0.39

Find:

A,B,C

Computation:

Linear equation;

Ax + By + C = 0

So,

0.09x - 0.01y = 0.39

9x/100 - 1y/100 = 39/100

9x/100 - 1y/100 - 39/100= 0

So,

A = 9/100

B = -[1/100]

C = -[39/100]

Answer:

it is b cuz I took the test and got it right sooooo yaa there you go have fun with the answer

Answer:

Winston:$32,000

Fran:$48,000

1 of 4 parts is equal to 1 of 6 parts so if you add 4 parts to 6 parts you get 10. Divide the total amount by 10 and you get 8000. multiply 8000 to the amount of parts each person gets and you get that.

Answer:

Please check the explanation below.

Step-by-step explanation:

As we know that quadruple is basically a fourfold amount or number.

For example,

The quadruple of 6 is 24.

4 x 6 = 24

Similarly, the quadruple of 10 is 40.

4 x 10 = 40

Now, let me solve your query.

Given the expression

2 - 2

as

2-2 = 0

so

we have to determine the quadruple of 0.

i.e.

4 x 0 = 0

Therefore, 0 is the quadruple of 2-2 (or 0).

I hope, it has cleared your concept.

Answer:

i hope this works

Step-by-step explanation:

d=17/3

d=5.666

d=5 2/3

Answer:

Solution given:

2=d-[tex] \frac{11}{3} [/tex]

2+[tex] \frac{11}{3} [/tex]=d

d=[tex] \frac{6+11}{3} [/tex]

d=[tex] \frac{17}{3} [/tex] or [tex] 5\frac{2}{3} [/tex]

is your answer

Answer:

The domain is:

{3,4,5,6}

Step-by-step explanation:

The domain is all the x-values of the plots

For this equation

The domain for (3,11) is 3

The domain for (4,18) is 4

The domain for (5,27) is 5

And the domain for (6,38) is 6

Hope this helps!

Answer:

(f o g)(5) = -13

General Formulas and Concepts:

Pre-Alg

Algebra I

Step-by-step explanation:

Step 1: Define

f(x) = 3x - 4

g(x) = -2x + 7

(f o g)(5) is f(g(5))

Step 2: Find composite function

Step 3: Solve

9514 1404 393

Answer:

  8. 4 +2q²/p² -4r/p +r²/p²

  9. (x, y) = (3/4, -17/8)

Step-by-step explanation:

All of these questions are asking you to make use of the fact that ...

  α + β = -q/p

  αβ = r/p

__

8. (2 +α²)(2 +β²) = 4 + 2(α² +β²) +α²β²

  = 4 +2((α+β)² -2αβ) +(αβ)²

Substituting the above for the sum and product, you have ...

  = 4 + 2((-q/p)² -2(r/p)) +(r/p)²

  = 4 +2q²/p² -4r/p +r²/p²

__

9. This is asking for the vertex of the parabola. The x-coordinate is ...

  x=-b/(2a) = -(-3)/(2(2) = 3/4

Then the y-coordinate is ...

  y = (2(3/4) -3)(3/4) -1 = (-3/2)(3/4) -1 = -9/8 -1 = -17/8

The (x, y) values of interest are (3/4, -17/8).

Answer:

900 cubic inches.

Step-by-step explanation:

Given the following data;

Volume of right circular cone = 300in³

We know that the volume of a right circular cone is given by the formula;

[tex] V = \frac {1}{3} \pi r^{2}h[/tex]

Where;

The volume of a right circular cylinder is given by the formula;

[tex] V = \pi r^{2}h[/tex]

Thus, multiplying the volume of the right circular cone by 3 would give us the volume of the right circular cylinder.

[tex] V = \frac {1}{3} \pi r^{2}h * 3[/tex]  

Substituting into the equation, we have;

[tex] V = 300 * 3[/tex]

V = 900in³

Therefore, the volume of a right cylinder that has the same base and height as the cone is 900 cubic inches.