All categories

3 years ago

Alex has 70% of her weekly paycheck

Mathematics

1 answer:

drek231 [11]3 years ago

4 0

Answer:

$50

Step-by-step explanation:

Weekly paycheck to be deposited = 70%

This week's deposit = $35

Therefore, we have to determine how much is Alex weekly paycheck.

To find this, we have to use unitary method.

According to the Question

Total weekly paycheck = (total deposit/ percentage to be deposited)

Therefore, Weekly paycheck = ($35/70%)

Weekly paycheck = $50.

It means Alex gets $50 per week.

You might be interested in

How many ridges would there be on $10 worth of quarters?

tresset_1 [31]

Answer:

4760

Step-by-step explanation:

First you find out how many are in a dollar so you do

119*4 which is 476

Then because there is $10 you need to do

476 * 10 which would be 4760

4 0

3 years ago

Read 2 more answers

Jada walks to school. The function D givers her distance from school, in meters, t minutes since she left home. Which equation t

kolbaska11 [484]

Answer:

t(5)=600.................

6 0

3 years ago

Find the polynomial of minimum degree, with real coefficients, zeros at

drek231 [11]

Answer:

$\huge\boxed{p(x)=4x^3-20x^2+4x+300}$

Step-by-step explanation:

$\text{If}\ x=4\pm3i\ \text{and}\ x=-3\ \text{are the zeros of a polynomial, then it has a form:}\\\\p(x)=\bigg(x-(4-3i)\bigg)\bigg(x-(4+3i)\bigg)\bigg(x-(-3)\bigg)\bigg(r(x)\bigg)\\\\p(x)=(x-4+3i)(x-4-3i)(x+3)\bigg(r(x)\bigg)\\\\p(x)=\underbrace{\bigg((x-4)+3i\bigg)\bigg((x-4)-3i\bigg)}_{\text{use}\ (a+b)(a-b)=a^2-b^2}(x+3)\bigg(r(x)\bigg)\\\\p(x)=\bigg((x-4)^2-(3i)^2\bigg)(x+3)\bigg(r(x)\bigg)\qquad\text{use}\ (a-b)^2=a^2-2ab+b^2$

$p(x)=(x^2-2(x)(4)+4^2-3^2i^2)(x+3)\bigg(r(x)\bigg)\qquad\text{use}\ i^2=-1\\\\p(x)=(x^2-8x+16-9(-1))(x+3)\bigg(r(x)\bigg)\\\\p(x)=(x^2-8x+16+9)(x+3)\bigg(r(x)\bigg)\\\\p(x)=(x^2-8x+25)(x+3)\bigg(r(x)\bigg)\qquad\text{use FOIL}:\ (a+b)(c+d)=ac+ad+bc+bd\\\\p(x)=\bigg((x^2)(x)+(x^2)(3)+(-8x)(x)+(-8x)(3)+(25)(x)+(25)(3)\bigg)\bigg(r(x)\bigg)\\\\p(x)=(x^3+3x^2-8x^2-24x+25x+75)\bigg(r(x)\bigg)\qquad\text{combine like terms}\\\\p(x)=(x^3-5x^2+x+75)\bigg(r(x)\bigg)$

$\text{The y-intercept is at 300}.\\\\\text{For}\ w(x)=a_nx^n+a_{n-1}x^{n-1}+a_{n-2}x^{n-2}+...+a_1x+a_0\\\\\text{y-intercept is}\ a_0\\\\\text{Therefore for}\ p(x)=(x^3-5x^2+x+75)\bigg(r(x)\bigg)\\\\\text{y-intercet is}\ 75\bigg(r(x)\bigg)\\\\75\bigg(r(x)\bigg)=300\qquad\text{divide both sides by 75}\\\\r(x)=4\\\\\text{Finally:}\\\\p(x)=(x^3-5x^2+x+75)(4)\qquad\text{use the distributive property}\\\\p(x)=(x^3)(4)+(-5x^2)(4)+(x)(4)+(75)(4)\\\\p(x)=4x^3-20x^2+4x+300$

7 0

3 years ago

Consider the inequality x + 7 < 9. Select all the true statements.

alex41 [277]

Answer:

Step-by-step explanation:

here you go mate

step 1

x + 7 < 9 equation

step 2

x + 7 < 9 subtract -7

x+7(-7)<9(-7)

answer

x<2

3 0

3 years ago

What is the value of 4³ pls help for quiz 10 points

loris [4]

Answer:

Step-by-step explanation:

8 0

3 years ago

Read 2 more answers