Sam borrows from the bank $12,000 to buy a car paying in simple interest $ 2,844 per year. Sam paid the loan in 3 years, what is the annual interest rate on the loan?

Answer:

7.85

Step-by-step explanation:

You just put it in a calculator

Answer:

63

Step-by-step explanation:

9 * 7 = 63

Answer:

1350(1.02)^w

Step-by-step explanation:

hope this helped

Answer:

x = 11.8

Step-by-step explanation:

hypotenuse = 12

1 leg = 10 - 8 = 2

Formula:

a² + b² = c²

a² + 2² = 12²

a² + 4 = 144

a² = 144 - 4

a² = 140

[tex]\sqrt{a^2} =\sqrt{140}[/tex]

a = 11.8

Answer:

x = 11.8

Step-by-step explanation:

hypotenuse = 12

1 leg = 10 - 8 = 2

Formula:

a² + b² = c²

a² + 2² = 12²

a² + 4 = 144

a² = 144 - 4

a² = 140

Answer:

Difference in the lengths of the polygons is (x + 7) units.

Step-by-step explanation:

Lengths of the given polygon = (7x + 2) units and (6x - 5) units

Therefore, difference in the given lengths = (7x + 2) - (6x - 5)

                                                                      = (7x - 6x) + (2 + 5)

                                                                      = x + 7

Therefore, difference in the lengths of the polygons is (x + 7) units.

Answer:

kylie is slow and so am i

Step-by-step explanation:

Answer:

b ≥ 11

Step-by-step explanation:

b + 4 ≥ 15

b ≥ 15 - 4

b ≥ 11

Answer:

= 3 to 7

= 3 : 7

= 3/7

Step-by-step explanation:

Number of people who ride the tram = 3

Number of people who does not ride the tram = 4

Total people = 3 + 4 = 7

Ratio of people who ride the tram to all people in three ways.

= 3 to 7

= 3 : 7

= 3/7

Ratio of all people to people who​ don't ride the tram in three ways.

= 7 to 4

= 7 : 4

= 7/4

Ratio of people who ride the tram to all people in three ways.

= 3 to 7

= 3 : 7

= 3/7

Answer:

30 minutes

Step-by-step explanation:

The hare and tortoise meet in 30 minutes at 240 feet.

Answer:

30minutes

Step-by-step explanation:

Tortoise = Hare

2m + 180 = 8m

collect like terms

180 = 8m - 2m

180 = 6m

divide both sides by 6

m = 180/6

m = 30

It will take 30 minutes for the tortoise and hare to meet.

Answer:

A. Arithmetic; d = 1.5

Step-by-step explanation:

-4, -2.5, -1, 0.5, 2

Looking at the sequence, we can see that the numbers increase. This means our common ration or difference will be positive.

Let's look at common ratios first.

To find the common ratio, divide one term from the term after it.

r = a₂ ÷ a₁

r = -2.5 / -4

Divide.

r = 0.625

To see if this is the common ratio, we want to test this with the other numbers of the sequence.

r = a₃ ÷ a₂

r = -1 / -2.5

r = 0.4

This is not consistent; therefore our sequence is not geometric.

Let's look at common differences next.

To find the common ratio, subtract one term from the term after it.

r = a₂ - a₁

r = -2.5 - (-4)

Simplify.

r = -2.5 + 4

Add.

r = 1.5

To see if this is the common difference, we want to test this with the other numbers of the sequence.

r = a₃ - a₂

r = -1 - (-2.5)

Simplify.

r = -1 + 2.5

r = 1.5

This is consistent; therefore we have found our common difference of this arithmetic sequence.

A. Arithmetic; d = 1.5

Hope this helps!

Answer:

[tex]\boxed{\textsf{ The possible values of y is \textbf{ 3 or -3 }.}}[/tex]

Step-by-step explanation:

Here Point A and B are 5 units apart . The coordinates of A are (-1,2) and B is (-1,y) .We need to find the possible coordinates of y . So let's use Distance Formula :-

[tex]\rule{200}2[/tex]

★ Distance Formula :-

If we need to find the distance between two points say , [tex]\sf ( x_1,y_1 ) \:\:\:\: \& \:\:\:\: ( x_2,y_2) [/tex] , then we can find out the distance as ,

[tex]\boxed{\boxed{ \sf Distance =\sqrt{ ( x_2-x_1)^2+(y_2-y_1)^2 } }}[/tex]

[tex]\rule{200}2[/tex]

Put on the respective values ,

[tex]\sf\implies Distance =\sqrt{ ( x_2-x_1)^2+(y_2-y_1)^2 } \\\\\sf\implies Distance = \sqrt{ (-1+1)^2+(2-y)^2}\\\\\sf\implies Distance =\sqrt{ (2-y)^2 } \\\\\sf\implies 5^2 = (2-y)^2 \\\\\sf\implies 5 = \pm (2-y) \\\\\sf\implies 5 = (2-y) \qquad or \qquad 5= -(2-y)\\\\\sf\implies y = 2-5 \qquad or \qquad y = 5-2 \\\\\sf\implies\boxed{\pink{\frak{ y = \pm 3 }}}[/tex]

Answer:

x=13/5 or x=2.6

Step-by-step explanation:

Answer:

[tex]a=3\frac{1}{3}[/tex]

Step-by-step explanation:

[tex]a+5\frac{2}{3} =9[/tex]

[tex]a+5\frac{2}{3}-5\frac{2}{3}=9-5\frac{2}{3}[/tex]

[tex]a=3\frac{1}{3}[/tex]

Answer:

x = 20, y = 70

Step-by-step explanation:

The angle adjacent to 40° is 180° - 40° = 140°

Since the triangle on the right has 2 congruent sides then it is isosceles and its base angles are congruent,  both x

2x + 140 = 180 ← sum of 3 angles in triangle

Subtract 140 from both sides

2x = 40 ( divide both sides by 2 )

x = 20

------------------------------------------

The angle inside the triangle on the left is 90° - 20° = 70° , then

y = 180 - (40 + 70) = 180 - 110 = 70

here are the answers:

#1

#2=11

#3=-2

#4=70

Answer:

1. EFG= 90°

2.GDH=90/2=45°

3.FEG=90/2=45

4.DHG=90°

Answer:

oh this is not easy hold on

Step-by-step explanation:

Answer:

Charlie is 20.5 inches tall

Step-by-step explanation:

Henry: 24 inches

            3 and 1/2 inches taller than Charlie

Charlie: 24 - 3.5 inches

            20.5 inches

Answer:

9 inches

Step-by-step explanation:

henry = 3 inches more than 1/2 of charlie

24=henry

24/2= 12-3=9 inches hope this helps

Answer:

x= - 7/2

Step-by-step explanation:

Decimal Form: -3.5

Mixed Number Form: -3 1/2

Answer:

A

Step-by-step explanation:

The area of the large triangle is 36*24/2

minus the small triangle which is 21*14/2

so 432-147 = 285

Answer:

3.5,3 there you go buddy

Step-by-step explanation:

Answer:7 - 9 = -2

Step-by-step explanation:

Answer:

B

Step-by-step explanation:

change in y-values is a constant 4.5

change in x-values is a constant 2

4.5/2 = 2.25/1   [this means 2.25 minutes per page]

Answer:

sjobciducbqpfhivñqrjivbñkqjvbñqjirv

Answer:

I GOTCHU THE ANSWER IS -10

Step-by-step explanation:

Answer:

2 x 3(the 3 is above the 2x) + 7 x 2(the 2 is above the 7x) − 18 x

Step-by-step explanation:

can I have brainliest please? :)

Answer:

Step-by-step explanation: The slope of a line is rise over run. Learn how to calculate the slope of the line in a graph  by  finding  the change  in y and the change in x.

The polynomial f(x) = 2x³ + 4x² - 2x - 4 can be expressed as a product of linear factors as (x + 2)2(x - 1)(x + 1)

We have,

To express the polynomial f(x) = 2x³ + 4x² - 2x - 4 as a product of linear factors, we can use a technique called factorization by grouping.

First, let's group the first two terms and the last two terms together:

f(x) = (2x³ + 4x²) + (-2x - 4)

Factor out the greatest common factor from each group:

f(x) = 2x²(x + 2) - 2(x + 2)

Notice that we now have a common factor of (x + 2) in both terms.

We can factor it out:

f(x) = (x + 2)(2x² - 2)

Now we can factor the quadratic expression 2x^2 - 2 by factoring out the greatest common factor of 2:

f(x) = (x + 2)2(x² - 1)

Now we can factor the expression x² - 1 as the difference of squares:

f(x) = (x + 2)2(x - 1)(x + 1)

Therefore,

The polynomial f(x) = 2x³ + 4x² - 2x - 4 can be expressed as a product of linear factors as (x + 2)2(x - 1)(x + 1)

Learn more about polynomials here:

https://brainly.com/question/20121808

#SPJ7

Answer:

JM = 20

Step-by-step explanation:

Find the value of JM

Using similar triangles;

MJ/HN = GJ/HK

GJ+JM/HN = GJ/HK

15+JM/12+16 = 15/12

15+JM/28 = 15/12

Cross multiply

12(15+JM) = 15*28

180+12JM = 420

12JM = 420 - 180

12JM = 240

JM = 240/12

JM = 20

Hence the length of JM is 20