Thang decided to borrow ​$7000 from his local bank to help pay for a car. His loan was for 3 years at a simple interest rate of 6​%. How much interest will Thang​ pay?

Answer:

Answer:

47

Step-by-step explanation:

a)

a^2 + b^2 = c^2

33^2+33^2=c^2

2178=c^2

c=(nearest is 47)

b)

If you cut the square in half diagonally, it forms two right triangles with angle measures 90-45-45. You can use sin (opposite over hypotenuse) to find the length of the hypotenuse.  sin (45) would be 33/(hypotenuse length). From a trig chart, you can find that sin (45) is 1/sqrt(2), meaning that 33/x = 1/sqrt(2). This means that x=33sqrt(2), which is around 47.

Step-by-step explanation:

Answer:

1st,15

2nd, 40

3rd, 36

Step-by-step explanation:

Diameter be d

Radius be r

Diameter=2r=46.4(2)=92.8cm

Answer: a. 24:600

b. 53

Step-by-step explanation:

First simplify:

24:600

6:150

2:30

1:15

Answer:

B (0, 285 ) , C (380, 0 )

Step-by-step explanation:

the first step is to obtain the equation of the line in slope- intercept form

y = mx + c ( m is the slope and c the y- intercept )

calculate m using the slope formula

m = [tex]\frac{y_{2}-y_{1} }{x_{2}-x_{1} }[/tex]

with (x₁, y₁ ) = A(- 260, 480 ) and (x₂, y₂ ) = D (620, - 180 )

m = [tex]\frac{-180-480}{620-(-260)}[/tex] = [tex]\frac{-660}{620+260}[/tex] = [tex]\frac{-660}{880}[/tex] = - [tex]\frac{66}{88}[/tex] = - 0.75 , then

y = - 0.75x + c ← is the partial equation

to find c substitute either of the 2 points into the partial equatio

using (620, - 180 ) , then

- 180 = - 465 + c ⇒ c = - 180 + 465 = 285

So y- intercept is B (0, 285 )

y = - 0.75x + 285 ← equation of line

to find the x- intercept , let y = 0 in the equation and solve for x

0 = - 0.75 + 285 ( subtract 285 from both sides )

- 285 = - 0.75x ( divide both sides by - 0.75 )

380 = x

x- intercept is C (380, 0 )

Difference:

x values

260 + 620 = 880

y values

480 + 180 = 660

Gradient = change in y/ change in x

Or

gradient = rise/run

= 660/880

= 3/4

= 0.75

We've got a negative slope - gradient must be negative

y = mx + c

y = - 0.75x + c

To find the y-intercept (c), which on the diagram is point B - you substitute one of the coordinates into the equation y = - 0.75x + c.

You use - point A or D - it don't matter which

I'll pick D - (620,−180)

y= -0.75x + c

-180 = - 0.75 x 620 + c

-180 = - 465 + c

+465

285= c

Thus, the equation is:

y = - 0.75x + 285

or

y = - 3/4x + 285

Where point B is (0,285) and C is (380,0)

To find:

B substitute x = 0 into the equation

(y= - 3/4 x 0 + 285)

C substitute y = 0 in the equation

0 = - 3/4x + 285

-285

- 285 = - 0.75x

÷ - 0.75

380 = x

( I converted 3/4 to 0.75 to make things clearer)

Hope this helps!

Answer:

x = 0, y = 5

Step-by-step explanation:

y = 7x + 5

=> x = (y-5) / 7

y = 2x + 5 = 2 *(y-5) /7 + 5

=> (y - 5) / 2 = ( y - 5) / 7

=> y =5 since only 0 / 2 = 0 / 7

=> x = (y -5) / 7 = 0 / 7  = 0

Answer:

see explanation

Step-by-step explanation:

the sequence is linear, that is arithmetic with nth term

[tex]a_{n}[/tex] = a₁ + (n - 1)d

where a₁ is the first term and d the common difference

given a₈ = 18 and a₁₂ = 26 , then

a₁ + 7d = 18 → (1)

a₁ + 11d = 26 → (2)

subtract (1) from (2) term by term to eliminate a₁

4d = 8 ( divide both sides by 4 )

d = 2

substitute d = 2 into (1) and solve for a₁

a₁ + 7(2) = 18

a₁ + 14 = 18 ( subtract 14 from both sides )

a₁ = 4

then

a₂₀ = 4 + (19 × 2) = 4 + 38 = 42

Step-by-step explanation:

1. 3=5x-12

3+12=5x

15/5=x

3 = X

2. -3x + 5 = -13

-3x= -13 -5

x = -18/-3

x= 6

3. -x+6=4

-x =4-6

x=-2/-1

×=2

4.-4y=48

y =48/-4

y = -12

5. m/2=10

m=10×2

m=20

6.-2.5b=20.5

b = 20.5/-2.5

b = -4.2

7. ×/7+15=8

×/7 = 8-15

× = -7×7

× =-49

8. ⅓d-6=0

⅓d=6

d =6×3

d =18

9.(g-13)/4=9

g-13=9×4

g =36+13

g =49

10. (1-k)/5=5

1-k =5×5

-k =25-1

k =24/-1

k=-24

Answer:

center = (-8, 7)

radius = 8 units

Step-by-step explanation:

Equation of a circle: [tex](x-h)^2+(y-k)^2=r^2[/tex]

(where (h, k) is the center of the circle and r is the radius)

Rewrite the given equation:

[tex]x^2+y^2+16x-14y+49=0[/tex]

[tex]\implies x^2+16x+y^2-14y+49=0[/tex]

[tex]\implies (x+8)^2-64+(y-7)^2-49+49=0[/tex]

[tex]\implies (x+8)^2+(y-7)^2=64[/tex]

Therefore:

Answer:

The circle is centered at (8,0)

The circle has a radius of 10 units.

Step-by-step explanation:

trust

The shortest length of the fence used by the rancher in a rectangular field of 1000000 square feet is 4899 ft.

The area of a rectangle is a region enclosed in four corners where two opposite sides are equal. The area of the rectangle is mathematically expressed as:

Area of a rectangle = length(x) × breath(y)

1000000 sq.ft = (x) × (y) ---- (1)

However, to determine the fencing, we have:

Length of fencing = 2x + 2y  

Suppose we use the x-direction to estimate the region where the fencing is located, we have:

Length of fencing = 2x + 2y + x

Length of fencing = 3x + 2y ---- (2)

From equation (1), make (y) the subject of the formula and replace the value of y with equation (2)

The Length of fencing is:

[tex]\mathbf{L = 3x - 2( \dfrac{1000000}{x})}[/tex]

[tex]\mathbf{\dfrac{dL}{dx} = 3 - \dfrac{2000000}{x^2} = 0}[/tex]

[tex]\mathbf{ x^2= \dfrac{2000000}{3} }[/tex]

[tex]\mathbf{ x= \dfrac{1000\sqrt{2}}{\sqrt{3}} }[/tex]

[tex]\mathbf{x = \dfrac{1000 \sqrt{6}}{3}}[/tex]

Now, if we replace the value with equation (1), then y will be:

[tex]\mathbf{y = \dfrac{1000000}{\dfrac{1000 \sqrt{6}}{3}} }\\ \\ \\ \\ \mathbf{y = \dfrac{3000 }{\sqrt{6}}}[/tex]

[tex]\mathbf{x =500\sqrt{6}}[/tex]

Now, the shortest length of the fencing can be computed by using the equation (2):

L = 3x + 2y

[tex]\mathbf{L = 3( \dfrac{1000 \sqrt{6}}{3}) + 2(500 \sqrt{6})}[/tex]

[tex]\mathbf{L =1000 \sqrt{6} + 1000 \sqrt{6}}[/tex]

[tex]\mathbf{L =2000 \sqrt{6} }[/tex]

[tex]\mathbf{L \simeq 4899 \ ft}[/tex]

Learn more about the area of a rectangle here:

https://brainly.com/question/25292087

Answer:

ok, i think this would be.....a.

Step-by-step explanation: so i know 7x4=28  so 7*4=a    makes sense  cause a = 28

have a nice day

Answer:

4x(3-2)

Step-by-step explanation:

since in 2 groups, there are number 4 in common

Apply Distributive Law to achieve this.

Answer:

[tex](x,y) = (4,1)[/tex]

Step-by-step explanation:

[tex]-4+5\cdot 1 = 5-4 =1[/tex]

Answer:

(2, 3/5)

Step-by-step explanation:

Step 1. Rewrite as slope-intercept form, y = mx + b (OPTIONAL)

-x + 5y = 1

5y = x + 1

y = 1/5x + 1/5

Step 2. Pick an x value, then sub for y

x = 2

y = 1/5(2) + 1/5

y = 2/5 + 1/5

y = 3/5

Ordered pair: (2, 3/5)

God bless!

Answer:

1. Rectangular Prism

2. Cylinder

3. Triangular Pyramid

4. Triangular Prism

5. Cone

6 Rectangular Pyramid

Answer:

81

Step-by-step explanation:

double digit numbers begin at 10 and end at 99

10 → 19 has 10 double digits

20 → 29 has 10 double digits

and so on up to 90 → 99

that is there are 90 double digits from 10 → 99

double digits with same value are 11, 22, 33, 44, 55, 66, 77, 88, 99

that is 9 double digits with the same value

Then double digits with different values = 90 - 9 = 81

Answer:

81 double digits numbers.

Step-by-step explanation:

From 1 to 99, first 9 numbers are single digit numbers

Double digit numbers = 99 - 9 =90

In this 90 numbers, 11,22,33,44,55,66,77,88,99 have same digits.

90 - 9 = 81

Answer:

Step-by-step explanation:

For two triangles to be similar, they need to have the same radius.

So, to make them similar, we can simply :

This would give Circle A and B the same radius, and they will be similar.

Answer:

9.33π

Step-by-step explanation:

the formula to solve for the volume of a cone is V=πr^2 * h/3

r = radius of base (2mi)

h = height (7mi)

plug in the numbers

V=π2^2 * 7/3

V=π4*2.33333333

V=9.33π

Answer:

C

Step-by-step explanation:

It cannot be D and A and B are the same

Answer:

90 degrees around the origin

Step-by-step explanation:

When you rotate the first time it is 90 degrees

When you rotate two times it is 180 degrees

When you rotate three times it is 270 degrees

Hope it helps:)

Answer:

13. 360 14. 1080 15. x=53 16. x=135

Step-by-step explanation:

Equation: (n-2)*180

For 13. all angles in a a quadrilateral add up to 360

For 14. 8 sides-2=6. 180*6=1080 degrees

For 15. 15+155+137=307. 360-307=53. x=53 degrees

For 16. 6 sides-2=4. 4*180=720. 90*2=180. 720-180=540. 540/4=135.

x=135

Answer:

10

Step-by-step explanation:

the formula y = mx +c

the y is obviously, y.

m, also means the gradient has a value of -4

c is the y-intercept, so the value of c is 10.

Answer:

Here is a diagram I made that shows all of the angles of the letters. (By to the way, letters I, C, and S don't have any angles, so I didn't include them.)

Step-by-step explanation:

Answer:

the answer to this question. is quadratic trinomial

Answer:

The answer is quadratic trinomial because it is to the power of 2, and has 3 terms.

Answer: See below

Step-by-step explanation:

Let us write the equation of the given line in standard form:

[tex]6 x-3 y=5 \quad \Rightarrow \quad y=2 x-\frac{5}{3}[/tex]

A. The line moves away from the origin by a scale factor of 6, but its inclination still remains the same. Therefore, after any dilation, the slope of that line never changes.

Thus, the slope of the given line after dilation will be the same as the original slope, which is m = 2.

B. The x-intercept of the line before dilation will be given by substituting x = 0 in the given equation as shown below:

[tex]y=2(0)-\frac{5}{3}=-\frac{5}{3}[/tex]

Now, the y-intercept of the line after the dilation will be given by:

[tex]6\left(-\frac{5}{3}\right)=-10[/tex]

Answer:

#20 is -20

#21 is -3

#22 is 36

There are 50 seventh-grade students who can she predict riding the bus to school.

The unitary method is a method for solving a problem by the first value of a single unit and then finding the value by multiplying the single value.

The unitary method is a method by which we find the value of a single unit from the value of multiple devices and the value of more than one unit from the value of a single unit. It is a method that we use for most of the calculations in math.

We are given that first-period class, 10 out of 32 students ride the bus to school. There are 160 students in seventh grade.

Therefore, we have;

160/32=5

10 x 5 =50

Thus, the answer is 50

Learn more about the unitary method, please visit the link given below;

https://brainly.com/question/23423168

#SPJ2

Answer:

5\beta ???

Step-by-step explanation:

please recheck the question ..