Pankaj borrows rupees 57,000 to buy a used car and is charged the rate of interest 6% per annum. if the term of his borrowing is 4 years, how much interest does he pay?​

Answer:

see below

Step-by-step explanation:

let's convert it into slope intercept form first as it will get rid of the decimals. so we must get it to follow the form of y = mx + b.  

so we must isolate the y variable:

- subtract 0.04x from both sides

- now we have 0.02y = 0.08 - 0.04x, and to follow the form this can also be 0.02y = -0.04x + 0.08

- divide both sides by 0.02

- now we have y = -2x + 4, so we know the slope is -2

now lets find the intercepts:

y intercept => set x=0

y = -2(0) + 4

y = 4

so we have (0,4)

x intercept => set y=0

0 = -2x + 4

-4 = -2x

x= 2

now we have (2,0)

graph it:

with two points (the intercepts) and the slope we can find a graph that looks like this

The amount invested in the account that pays a 5% interest is $2100 and the amount invested in the account that pays a 7.5% interest is $1400.

0.05a + 0.075b = (0.06 x $3500)

0.05a + 0.075b = $210 equation 1

a + b = $3,500 equation 2

Where:

a = amount invested in the account that paid a 5% interest

b = amount invested in the account that paid a 7.5% interest

In order to determine this value, multiply equation 2 by 0,05

0.05a + 0.05b = 175 equation 3

0.025b = 35

b = $1400

a + $1400 = $3500

a = $3500 - 1400

a = $2100

To learn more about simultaneous equations, please check: https://brainly.com/question/25875552

Answer:

a. 3/10

b. 7/10

Step-by-step explanation:

a. Total number of marbles = 10

Number of red marbles = 3

Probability = Number of outcomes/ Total number of outcomes

= 3/10

b. Total number of marbles = 10

Number of red marbles = 3

Number of marbles excluding the red marbles

= 10 - 3 = 7

Probability = Number of outcomes/ Total number of outcomes

= 7/10

Answer:GCF of 36 and 9 is 9

Factor 36-9 = 9(4-1)

Step-by-step explanation: 36 and 9 are both multiples of 9

Answer:

miami

Step-by-step explanation:

Answer:

1/8 inches

Step-by-step explanation:

to find this out you must multiply all the sides by each other

1/2 * 1/2 * 1/2

this equals 1/8

The cost of one Gatorade is $32.95.

The total cost of both gatorade is the sum of the value of the gift card and the total cost.

Total cost of both gatorade = value of the gift card + total cost  

$25 + 40.90 = $65.90

In order to determine the cost of one gatorade, divide $65.90 by 2

The cost of one gatorade = Total cost of both gatorade / 2

$65.90 / 2 = $32.95

To learn more about division, please check: https://brainly.com/question/13281206

Answer:

V = 288π in³

Step-by-step explanation:

[tex]V = \frac{4}{3}\pi r^3[/tex]

The radius is 6 in

[tex]V = \frac{4}{3} \pi (6)^3[/tex]

[tex]V= \frac{4}{3} \pi (216)[/tex]

[tex]V = \frac{4}{3} (216)\pi[/tex]

[tex]V=\frac{864}{3} \pi[/tex]

[tex]V = 288\pi in^3[/tex]

Answer:

x ≈ 229.8

Step-by-step explanation:

using the cosine ratio in the right triangle

cos72° = [tex]\frac{adjacent}{hypotenuse}[/tex] = [tex]\frac{LM}{KM}[/tex] = [tex]\frac{71}{x}[/tex] ( multiply both sides by x )

x × cos72° = 71 ( divide both sides by cos72° )

x = [tex]\frac{71}{cos72}[/tex] ≈ 229.8 ( to the nearest tenth )

Answer:

[tex]y=\frac{3}{5} x-3[/tex]

Step-by-step explanation:

Slope-intercept form: y = mx+ b

m = slope

b = y-intercept

Rearrange the equation:

[tex]-20y=-12x+60[/tex]

Divide each side by -20:

[tex]\frac{-20y}{-20} =\frac{-12x}{-20} +\frac{60}{-20}[/tex]

[tex]y=\frac{3}{5} x-3[/tex]

[tex]y=\frac{3}{5} x-3[/tex] is your simplified, slope-intercept form equation.

Answer:

I think -1 cuz 2+1--1 so yh I guess

Answer:

66763

Step-by-step explanation:

47000*(1+0.105+0.17)+338+6500

The correct order and names are 1. Natalia Coaster, 2. Patrick Adams, 3. Analee Baker, 4. Connor Davis.

The best strategy is to read one by one the clues and determine possible order and names.

Learn more about clues in: https://brainly.com/question/18250989

We will see that the exponential decay function is:

f(x) = 175*(0.8)^x

The general exponential decay is:

f(x) = A*(1- r)^x

Where:

Here we know that the initial value is 175, and the rate of decay is 20%. To get this in decimal form, we just divide it by 100%.

20%/100%  = 0.2

Replacing that in the exponential function, we get:

f(x) = 175*(1 - 0.2)^x

f(x) = 175*(0.8)^x

If you want to learn more about exponential functions, you can read:

https://brainly.com/question/11464095

Answer: Graph attached

Answer:

view attached graph.

Step-by-step explanation:

0.04x + 0.02y = 0.08.

0.02y = -0.04x + 0.08

/0.02    /0.02

y = -2x + 4

Hope this helps!

Answer:

not sure about this question

Hope it helps you mate

have a good night

If it is reflected about the line x = 5, the new point is (3, 2), (3, 6), (1, 1) and (1, 8)

Transformation is the movement of a point from its initial location to a new location. Types of transformation are rotation, reflection, translation and dilation.

Given the figure with vertices at (7, 2), (7, 6), (9, 1) and (9, 8). If it is reflected about the line x = 5, the new point is (3, 2), (3, 6), (1, 1) and (1, 8)

find out more on Transformation at: https://brainly.com/question/1462871

Answer:

[tex]63a - 42b \\ \\ = 21(3a - 2b)[/tex]

# be care#

Answer:

x = 13.773

Step-by-step explanation:

cos(∠ABC) = [tex]\frac{BC}{AB}[/tex]

cos(37°) = [tex]\frac{11}{x}[/tex]

x = 13.773

Answer:

9:6

Step-by-step explanation:

Given:

Length of car = 9 feet

Length of model of car = 6 inches

Let's find the ratio of the length of the car to the length of the model.

To find the ratio of the length of the car to the length of the model, apply the formula:

Ratio ==> Length of car : Length of model

Ratio ==> 9 : 6

Therefore, the ratio of the length of the car to the length of the model is = 9 : 6

Answer:

∠ 2 = 160° , ∠ 3 = 10°

Step-by-step explanation:

The opposite angles of a rhombus are congruent , then

∠ 2 = ∠ 1 = 160°

The triangle has 2 congruent sides and is isosceles with base angles being congruent , then

∠ 3 = [tex]\frac{180-160}{2}[/tex] = [tex]\frac{20}{2}[/tex] = 10°

Answer:

m∠3 = 10° || m∠2 = 160°

Step-by-step explanation:

if  m∠1 =  160°

then m∠2 = 160°

The triangle is isosceles.

therefore

m∠3 + m∠3 + 160° = 180°

2 m∠3 = 180° - 160°

2 m∠3 = 20°

m∠3 = 10°

Answer:

06>4

Step-by-step explanation:

yes that. is the answer because 06 is greater than 4

Check the picture below atop.

we know is an equilateral triangle, meaning that all its interior angles are 60°, and thus if we run a line from the top vertex as you see there, we end up with a 30-60-90 triangle, either way there's an equation to get its height, and anyhow the altitude of it is 6√3.

As the rectangle moves up and down the triangle, with the rectangle having a width of "w" and a length of "L", the triangle that it forms above itself is a triangle, always with a base of "L" and a height of 6√3 - w.

BTW we laid the rectangle as you see on the bottom side, but laying it anywhere else it'd have ended up in the same arrangement.

well, with the bottom of the rectangle beign parallel to that of the side of the circumscribing triangle, the small upper triangle is similar to the containing triangle by AAA, and since we have similar triangles, we can say that.

[tex]\cfrac{6\sqrt{3}}{12}=\cfrac{6\sqrt{3}-w}{L}\implies \cfrac{\sqrt{3}}{2}=\cfrac{6\sqrt{3}-w}{L}\implies L\sqrt{3}=12\sqrt{3}-2w \\\\\\ L=\cfrac{12\sqrt{3}-2w}{\sqrt{3}}\implies L=12-\cfrac{2w}{\sqrt{3}}\implies L=2\left(6-\cfrac{w}{\sqrt{3}} \right) \\\\[-0.35em] ~\dotfill\\\\ \stackrel{\textit{Area of the rectangle}}{A=wL\implies A(w)=w\cdot 2\left(6-\cfrac{w}{\sqrt{3}} \right)}\implies A(w)=2\left(6w-\cfrac{w^2}{\sqrt{3}} \right)[/tex]

[tex]\cfrac{dA}{dw}=2\left(6-\cfrac{2w}{\sqrt{3}} \right)\implies \cfrac{dA}{dw}=4\left(3-\cfrac{w}{\sqrt{3}} \right) \\\\[-0.35em] ~\dotfill\\\\ 0=4\left(3-\cfrac{w}{\sqrt{3}} \right)\implies \boxed{w=3\sqrt{3}}[/tex]

hmmm the way I usually run a 1st derivative test is, by using the critical point and slicing from it just a tiny bit, like say 3√3 - 0.000000001 to check the region on the left and then 3√3 + 0.000000001 to check the region on the right.

Check the picture at the bottom, the 1st derivative test more or less gives us those values, positive on the left-side and negative on the right-side, meaning as you can see in the arrows, is a maximum at that point.

[tex]\stackrel{\textit{we know that}}{L=2\left(6-\cfrac{w}{\sqrt{3}} \right)}\implies L=2\left(6-\cfrac{3\sqrt{3}}{\sqrt{3}} \right)\implies \boxed{L=6}[/tex]

Answer: