3. You purchase a car using a $20,000 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.
(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.
Answer:

Area = lw

Area = 14 x 11

Area = 154 square feet

Answer:

New time to find all balls = 23.75 hours

Step-by-step explanation:

Given:

Total time = 95 hour

Total people = 1 Lillian + 3 friends = 4

Find:

New time to find all balls

Computation:

New time to find all balls = 95 / 4

New time to find all balls = 23.75 hours

Answer:D

Step-by-step explanation:

Answer:

3 ways

Step-by-step explanation:

How many different ways can you place 4 identical marbles in three jars shown below? Note: Every marble needs to be in one of the jars, but not every jar needs to have a marble in it.

We solve using combination

n-1 C r-1 = nCr = n!/r! (n - r)!

n = 4 identical marbles

r = 3 jars

Hence:

4 - 1 C 3 - 1 = 3C2

= 3!/2! (3 - 2)!

= 3 ways

Answer: 31

Step-by-step explanation:

Order of Operations: PEMDAS

Multiplication comes first so you do −2⋅3 which equals -6

Then you can add 5 to -6,

or subtract -6 from 32.

Answer:

26 minutes

Step-by-step explanation:

13:47=1 hour

Multiply by 2

26:94= 2 hours

Answer:

Is that all you need help with or you need help with more?

Step-by-step explanation:

c

I saw this test my cousin had it

Answer:

3, 11, and 14

Step-by-step explanation:

One side length of a triangle that is selected at random must be smaller than the sum of the other two side lengths and bigger than their difference

one side of this triangle is 4 and the other is 7 so if we call the third side length x

7-3 < x < 7+3 ➡ 4 < x < 11

Answer:

157.5

Step-by-step explanation:

Answer:

$37.50

Step-by-step explanation:

In this problem, all we need to do is enter the given value into the equation. In this case, [tex]x[/tex] carnival tickets = 15. So,

[tex]y=2.50(15)[/tex]

[tex]y=37.50[/tex]

The total cost of 15 carnival tickets is $37.50.

Hope this helps!

Answer:

37.50

Step-by-step explanation:

Anwer:

14 cm

Step-by-step explanation:

Let's apply the Phytagorean Theorem [tex]a^{2}+b^{2}=c^{2}[/tex]

Since we only have one side and the hypotenuse:

[tex]a^{2}+24^{2}=28^{2}\\a^{2}+576=784\\a^{2}=784-576\\a^{2}= 208\\[/tex]

[tex]a=\sqrt{208}\\a= 14.42\\a= 14 cm[/tex]

The length of the wall is approximately 14.4 units.

In a right-angled triangle, the square of the hypotenuse side is equal to the sum of the squares of the other two sides, according to Pythagoras's Theorem.

Maria is putting up a shelf on a wall in her closet.

The figure below shows triangle ABC, which represents a bracket that will be used to support the shelf.

AC = 24, BC = 28 = hypotenuse, AB = wall

Using the Pythagorean theorem, we can solve for the length of AB (the wall):

AB² = BC² - AC²

AB² = 28² - 24²

AB² = 784 - 576

AB² = 208

AB = sqrt(208)

AB ≈ 14.4

Therefore, the length of the wall is approximately 14.4 units.

To learn more about the Pythagoras theorem;

https://brainly.com/question/343682

#SPJ2

hi

slope  is  1/2

You have A (0;0) and B ( 2;1)  

slope  is  ( Yb-Ya )/(Xb-Xa) =   (1-0)/ ( 2-0) = 1/2

Answer:

30 cm, and another is 45 cm.

Step-by-step explanation:

First, we need to subtract 15 from 75, giving us 60. Then, we divide 60 by 2, giving us 30, which is the length of one part. We add 15 back to 30, which gives us 45. One part is 30 cm and the other is 45 cm

Answer:

Ok

Step-by-step explanation:

Answer: C. Taking a trip on a raft is safe if the weight of guests and their belongings (x pounds) and the weight of the guide and her equipment (250 pounds) together are less than 1,200 pounds

Step-by-step explanation:

Answer:

x= c/14

Step-by-step explanation:

add 8 to both sides of the equation, then simplify, next divide both sides of the equation by the same term, and finally simplify again.

Answer:

2,500

Step-by-step explanation:

The weight of the oranges was 2.5 kilograms, the number of grams is,  2500g. So Option D is correct.

To measure and compare various things we use one term which is known as a unit. When all of the measuring units are the same, comparison is simple. Depending on their intended usage, different units can be categorised.

For example, for  length measurement we use units like:- meter, centimeter, inch, miles.

Given that,

Ralph bought some oranges.

The weight of the oranges was 2.5 kilograms.

The number of grams = ?

It is known that,

1 kilogram = 1000 gram

so 2.5 kg will be equal to

⇒ 2.5 x 1000

⇒ 2500 g

Hence, the number of grams is 2500g

To know more about Units check:

https://brainly.com/question/30168372

#SPJ6

Answer: 50

Step-by-step explanation: Complementary angles are 2 angles that add to 90 degrees. Since 90-40=50, then its 50 degrees

Answer:

ASA congruence (A)

Step-by-step explanation:

These triangles have a congruent side in between two congruent angles; this meets the criteria for ASA congruence.

HTH :)

Answer:

y=x+1

or x=y-1

Step-by-step explanation:

Answer:

-x + 5y + 7

-This should be the answer

Answer:

y = 2x - 1

General Formulas and Concepts:

Pre-Algebra

Algebra I

Slope Formula: [tex]m=\frac{y_2-y_1}{x_2-x_1}[/tex]

Slope-Intercept Form: y = mx + b

Step-by-step explanation:

Step 1: Define

Find points on the graph.

Point (1, 1)

Point (-1, -3)

Step 2: Find slope m

Step 3: Find y-intercept b

Given: (0, -1) as y-intercept

Step 4: Write linear equation

y = 2x - 1

The equation y = 2x - 1 is the correct representation of the line in slope-intercept form.

The slope-intercept form of a linear equation is given by y = mx + b, where m represents the slope of the line and b represents the y-intercept.

Among the options provided, the equation y = 2x - 1 is already in the slope-intercept form. In this equation, the slope is 2, which means that for every unit increase in x, y increases by 2. The y-intercept is -1, indicating that the line intersects the y-axis at the point (0, -1).

The equations y = -2x - 1, y = 1/2x - 1, and y = 1/2x + 1 are not in slope-intercept form. In the equation y = -2x - 1, the slope is -2 and the y-intercept is -1. In the equation y = 1/2x - 1, the slope is 1/2 and the y-intercept is -1. Lastly, in the equation y = 1/2x + 1, the slope is 1/2 and the y-intercept is 1.

Therefore, the equation y = 2x - 1 is the correct representation of the line in slope-intercept form.

For more details of slope-intercept form.

https://brainly.com/question/21298390

#SPJ6

Answer:

D. 3

Step-by-step explanation:

If you multiply the second equation, 3x+2y=1 by 3, it will be 9x+6y=3 which will cancel out the first equation giving you infinitely many solutions.

Answer:

Slope =-1/2

P1 (0,4)

P2(-2,5)

Step-by-step explanation:

Slope:

m=(y2-y1)/(x2-x1)

=(3-6)/(2+4)

=-3/6

m=-1/2 = -0.5

Now finding the equation of the line passing through the 2 points:

3 = -1/2 * 2 +q

3 = - 1 +q

q=4

eq. y= -(1/2)x + 4

Let's find 2 other points

x=0

y= - 1/2 *0 +4 =4

(0,4)

x= -2

y= - (1/2)*(-2) +4 = 1+4 = 5

(-2,5)

Answer:

b

Step-by-step explanation:

Answer:

Bosian used the wrong conversion for converting Gallons to Quarts. The correct conversion is: 1 gallon = 4 Quarts and correct solution is: 5 gallon = 20 quarts

Step-by-step explanation:

Bosian Conversion from Gallons to Quarts

He had 5 gallons

He said that 1 gallon = 5 quarts

So, 5 gallons = 5*5 = 25 quarts

Mistake of Bosian:

He used the wrong conversion: i.e, 1 gallon = 5 quarts

The correct conversion is:

1 gallon = 4 quarts

Correct Solution:

1 gallon = 4 quarts

So, 5 gallons = 5*4 = 20 quarts

Answer: k = 10

because ∠MYZ  is the outer angle of the triangle XYZ

=> ∠MYZ = ∠YZX + ∠YXZ

⇔ 115° = (4k + 5)° + (6k + 10)°

⇔ 115 = 10k + 15

⇔ 10k = 100

⇔ k = 10

Step-by-step explanation: