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3 years ago

7

75,100,125, what comes next

1 answer:

Alchen [17]3 years ago

8 0

Answer:

150

Step-by-step explanation:

add 25 and you get the next number

You might be interested in

Find the set of values of k for which the line y=kx-4 intersects the curve y=x²-2x at 2 distinct points?

Sonbull [250]

Answer:

$-6 < k < 2$

Step-by-step explanation:

Given

$y = x^2 - 2x$

$y =kx -4$

Required

Possible values of k

The general quadratic equation is:

$ax^2 + bx + c = 0$

Subtract $y = x^2 - 2x$ and $y =kx -4$

$y - y = x^2 - 2x - kx +4$

$0 = x^2 - 2x - kx +4$

Factorize:

$0 = x^2 +x(-2 - k) +4$

Rewrite as:

$x^2 +x(-2 - k) +4=0$

Compare the above equation to: $ax^2 + bx + c = 0$

$a = 1$

$b= -2-k$

$c =4$

For the equation to have two distinct solution, the following must be true:

$b^2 - 4ac > 0$

So, we have:

$(-2-k)^2 -4*1*4>0$

$(-2-k)^2 -16>0$

Expand

$4 +4k+k^2-16>0$

Rewrite as:

$k^2 + 4k - 16 + 4 >0$

$k^2 + 4k - 12 >0$

Expand

$k^2 + 6k-2k - 12 >0$

Factorize

$k(k + 6)-2(k + 6) >0$

Factor out k + 6

$(k -2)(k + 6) >0$

Split:

$k -2 > 0$ or $k + 6> 0$

So:

$k > 2$ or k $> -6$

To make the above inequality true, we set:

$k < 2$ or $k >-6$

So, the set of values of k is:

$-6 < k < 2$

3 0

3 years ago

Please I need help!!! My grade depends on it!

balu736 [363]

A binomial distribution has the following properties;
1. There is a fixed number of trials.
2. Each trial is independent of the others.
3.Each trial has a constant probability of success.
4. There are only two possible outcomes, 'success' and 'failure'.

Statements B and D meet the requirements for the variable X to have a binomial distribution.

8 0

3 years ago

You wish to make an

Leokris [45]

Using the interest formulas, it is found that the values of the investment are given as follows:

Using simple interest, the value will be of $34,000.

Using compound interest, the value will be of $144,461.

Using continuous compounding, the value will be of $148,002.

<h3>Simple Interest</h3>

Simple interest is used when there is a single compounding per time period.

The amount of money after t years in is modeled by:

$A(t) = P(1 + rt)$

In which:

P is the initial amount.

r is the interest rate, as a decimal.

In this problem, we have that the parameters are as follows:

P = 9000, r = 0.07, t = 40.

Hence:

$A(t) = 9000(1 + 0.07 x 40) = 34200$

<h3>Compound interest</h3>

$A(t) = P\left(1 + \frac{r}{n}\right)^{nt}$

n is the number of compounding, for quarterly n = 4, then:

$A(t) = 9000\left(1 + \frac{0.07}{4}\right)^{4 \times 40}$

$A(t) = 144461$

<h3>Continuous compounding</h3>

$A(t) = Pe^{rt}$

Hence:

$A(t) = 9000e^{0.07 \times 40} = 148002$

More can be learned about the interest formulas at brainly.com/question/25296782

#SPJ1

7 0

2 years ago

The graph of 3x - 2y = 6 does not pass through? <br><br> (4,-3)<br> (4/3,-1)<br> (-2,-6)

victus00 [196]

(4,-3) does not pass through the graph

If you put (4, -3) into the equation you get 18

If you put (4/3, -1) into the equation you get 6

If you put (-2, -6) into the equation you get 6

3 0

3 years ago

Find the product of 50×28

barxatty [35]

50 times 28, you will get 1400.

If trying to mental calculate, I would :
28=20+8
50 times 20 = 1000
50 times 8 = 400
Then add them up to 1400.

8 0

3 years ago