Mr Tan bought a house for $410 000. He paid a deposit of 30% and took on a loan for the remaining amount. How much was his loan? Give your answer
correct to the nearest ten thousands.​

Answer:

y=2/3x-11/3

Step-by-step explanation:

First, find the slope.

m= y2-y1/x2-x1

-3+5/1+2 = 2/3

Slope is 2/3

Now, pick one of the coordinates and use that and the slope to put it in point-slope form.

Point slope form: y-y1=m(x-x1)

Let's use (1,-3)

y+3=2/3(x-1)

Distribute 2/3 to (x-1) and simplify to get the equation in slope-intercept form.

y+3=2/3x-2/3

y=2/3x-11/3

Answer:

y=2/3x-11/3

Step-by-step explanation:

use slope formula and slope intercept form. y=mx+b

Answer: a = 3

Step-by-step explanation:

Answer:

Okay nvm I have found it here is your graph I don't what type of graph you need so i will provide you with 2 of my choosings

Step-by-step explanation:

900.2 or 900 1/5

4501 ÷ 5

=

900.2

900 1/5

Answer:

It would be 900.2

hope this hepled!  :)

Answer:

A variable that depends on one or more other variables. For equations such as y = 3x – 2, the dependent variable is y. The value of y depends on the value chosen for x. Usually the dependent variable is isolated on one side of an equation.

Step-by-step explanation:

Answer:

6(2 + 7)

Step-by-step explanation:

I hope this helps!

Answer:

$10 = 4x

Step-by-step explanation:

The "x" would represent how much the apples would cost. So next you would divide both sides by 4x and then it would leave you with 2/5.

Answer:

Step-by-step explanation:

Percentage of purebred dogs in shelters: 25% Number cats and dogs adopted from shelters each year: 4 million. Percentage of cats euthanized in shelters: 70% Percentage of total shelter intake comprised of cats: Approximately 50% (but in some regions 2/3 of shelter population is cats)

Answer:

70 puppies

Step-by-step explanation:

Find 10% which is 200÷10=20

20*3=60=30%

20÷2=10=5% so 60+10=70 puppies

Answer:

120 such cubes could fit in the prism.

Step-by-step explanation:

Volume of prism = length × breadth × height

[tex] = \frac{5}{3} \times \frac{4}{3 } \times 2[/tex]

[tex] = \frac{40}{9} cm {}^{3} [/tex]

___________________________________

Volume of cube = a³

[tex] = ( \frac{1} {3}) {}^{3} [/tex]

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

[tex] = \frac{1}{27} cm {}^{ 3} [/tex]

____________________________________

[tex] \frac{40}{9} \div \frac{1}{27} [/tex]

[tex] \frac{40}{9} \times 27[/tex]

[tex]40 \times 3[/tex]

120

Answer:

x = 8

x = 7

Step-by-step explanation:

Solving    x2-15x+56 = 0 by the Quadratic Formula .

According to the Quadratic Formula,  x  , the solution for   Ax2+Bx+C  = 0  , where  A, B  and  C  are numbers, often called coefficients, is given by :

           - B  ±  √ B2-4AC

 x =   ————————

                     2A

 In our case,  A   =     1

                     B   =   -15

                     C   =   56

Accordingly,  B2  -  4AC   =

                    225 - 224 =

                    1

Applying the quadratic formula :

              15 ± √ 1

  x  =    —————

                   2

So now we are looking at:

          x  =  ( 15 ± 1) / 2

Two real solutions:

x =(15+√1)/2= 8.000

or:

x =(15-√1)/2= 7.000

Answer:

121

Step-by-step explanation:

trust me i got you wuth that 2016 throwback

Answer:

Step-by-step explanation:

X×7/3 =1

X=3/7

Answer:

50 pockets

Step-by-step explanation:

Given

[tex]Total = 75\ yd[/tex]

[tex]Pocket = 1\frac{1}{2}yd[/tex]

Required

Determine the number of pockets

To calculate the required , we make use of:

[tex]Pockets = \frac{75yd}{1\frac{1}{2}yd}}[/tex]

[tex]Pockets = \frac{75}{1\frac{1}{2}}}[/tex]

Convert the denominator to decimal

[tex]Pockets = \frac{75}{1.5}[/tex]

[tex]Pockets = 50[/tex]

Hence, she can lace 50 minutes

Answer:

the probability that the mean weight of the sample babies would differ from the population mean by less than 45 grams is 0.7284

Step-by-step explanation:

Given that

mean weight = 3831 grams,

variance = 108,900

sample size n = 65

the probability that the mean weight of the sample babies would differ from the population mean by less than 45 grams = ?

Now standard error of mean = √( 108900 / 65 ) = 40.9314

z = +/- (45/40.9314)

z = +/-1.0994

so

P( -1.0994 <z< 1.0994 ) = P( z<1.0994 ) - (p<-1.0994 )

= 0.8642 - 0.1358

= 0.7284

Therefore the probability that the mean weight of the sample babies would differ from the population mean by less than 45 grams is 0.7284

Answer:

The first drop down box, I'm pretty sure its the second one

Step-by-step explanation:

Answer:

The guy up there is right so the answer, first one is 147.58 and the second one is 28.26

Step-by-step explanation:

Answer:

[tex]125.4\ \text{m/s}[/tex]

Step-by-step explanation:

u = Initial velocity of baseball

[tex]\theta[/tex] = Angle of hit = [tex]30^{\circ}[/tex]

x = Displacement in x direction = 400 ft

y = Displacement in y direction = 15 ft

[tex]y_0[/tex] = Height of hit = 2.5 ft

[tex]a_y[/tex] = g = Acceleration due to gravity = [tex]32.2\ \text{ft/s}^2[/tex]

t = Time taken

Displacement in x direction

[tex]x=u_xt\\\Rightarrow x=u\cos\theta t\\\Rightarrow t=\dfrac{x}{u\cos\theta}\\\Rightarrow t=\dfrac{400}{u\cos30^{\circ}}\\\Rightarrow t=\dfrac{400}{u\dfrac{\sqrt{3}}{2}}\\\Rightarrow t=\dfrac{800}{u\sqrt{3}}[/tex]

Displacement in y direction

[tex]y=y_0+u_yt+\dfrac{1}{2}a_yt^2\\\Rightarrow y=y_0+u\sin\theta t+\dfrac{1}{2}a_yt^2\\\Rightarrow 15=2.5+u\sin30^{\circ}(\dfrac{800}{u\sqrt{3}})+\dfrac{1}{2}\times -32.2\times (\dfrac{800}{u\sqrt{3}})^2\\\Rightarrow \dfrac{400}{\sqrt{3}}-\dfrac{10304000}{3u^2}-12.5=0\\\Rightarrow 218.44=\dfrac{10304000}{3u^2}\\\Rightarrow u=\sqrt{\dfrac{10304000}{3\times218.44}}\\\Rightarrow u=125.4\ \text{m/s}[/tex]

The minimum initial velocity needed for the ball to clear the fence is [tex]125.4\ \text{m/s}[/tex]

Answer:

d= -12 + 925

Step-by-step explanation:

decrease means negative and Increase means up (positive) so probably that why your answer was wrong

Answer:

d= -12 + 925

Step-by-step explanation:

Answer:

Alternative hypothesis:

[tex]\mathbf{H_a = \sigma_1^2 \ne \sigma_2^2}[/tex]

Step-by-step explanation:

Given that:

Sample 1:

Sample size [tex]n_1[/tex] = 10

Sample mean  [tex]\overline x_1[/tex] = 79.3

Standard deviation [tex]\sigma_1[/tex] = 22.4

Sample 2:

Sample size [tex]n_2[/tex] = 10

Sample mean  [tex]\overline x_2[/tex] = 82.1

Standard deviation [tex]\sigma_2[/tex] = 12.0

To find the alternative hypothesis.

The null and alternative hypothesis can be computed as follows:

Null hypothesis:

[tex]\mathbf{H_o = \sigma_1^2 = \sigma_2^2}[/tex]

Alternative hypothesis:

[tex]\mathbf{H_a = \sigma_1^2 \ne \sigma_2^2}[/tex]

Since, alternative hypothesis is ≠, it shows that it is a two tailed test.

Answer:

2950$

Step-by-step explanation:

2500×5%=125$

125×2=250$

2500+250=3960$

Answer:

SWEEEET!!

Step-by-step explanation:

:D

Answer:thx so much I needed them

Step-by-step explanation:

Answer:

X+2 metres. Just use a^+2ab+b^2

Answer:

x= 1/a-1/b

Step-by-step explanation:

use math.way

The answer to your question is 1 because:

'ax' and 'bx' have no values, they are missing numbers.

We have to cancel out one 1, and our answer is 1.

Carry on Learning!

Answer: 60

Just put 60 :)

Answer:

2x6

Step-by-step explanation:

Answer:

Do multiplications first, then simplify the equation from left to right. Therefore, your answer should be 18.

Step-by-step explanation:

3 - 5 + 4 + 2 × 6

= 3 - 5 + 4 + 12

= 2 + 4 + 12

= 6 + 12

= 18

Given:

The graph of a function f(x).

To find:

The solution set for f(x)>0 and f(x)≤0.

Solution:

From the given graph it is clear that, the function intersect the x-axis at 3 points, i.e., x=-4, -3 and -2.

The graph is above the x-axis before -4 and between -3 and -2.

So, the solution set for f(x)>0 is [tex](-\infty,-4)\cup (-3,-2)[/tex].

The graph is below the x-axis between -4 and -3; and after -2. For f(x)≤0, those values are in the solution set for which f(x)=0, i.e., x-intercepts. So, we use close brackets in the interval notation.

So, solution set for f(x)≤0 is [tex][-4,-3]\cup [-2,\infty)[/tex].

Answer:

A and C are Functions

Step-by-step explanation:

They pass the vertical line test.

The way you know if a set of coordinates are not a function is if they have multiple points that have the same Y value.