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Zigmanuir [339]

3 years ago

10

Ashley is making $500 a week at her job. she receives a 20% pay rise. a year later she takes a 5% pay cut. how much does she mak

e per week now?

1 answer:

aleksandrvk [35]3 years ago

3 0

Answer:

Ashley is making $570 a week

Step-by-step explanation:

500 + 20%= 600

600-5% =570

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Solve the linear equation below for x. *<br> 3x + 4 = 8x – 9<br> A. 2.6 B. 1 C. 1.09 D. 2

Juli2301 [7.4K]

This answer is A, first you subtract 3x from both sides simplify 8x-9-3x to 5x-9, add 9 to both sides, simplify 4+9 to 13, divided both sides by 5 and you’ll get 2.6

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3 years ago

Using the completing-the-square method, rewrite f(x) = x2 - 6x + 2 in vertex form.<br>

sp2606 [1]

Answer:

$\large\boxed{f(x)+(x-3)^2-7}$

Step-by-step explanation:

$\text{The vertex form of equation}\ y=ax^2+bx+c:\\\\y=a(x-h)^2+k\\\\\text{We have the equation:}\\\\f(x)=x^2-6x+2=x^2-2(x)(3)+1=x^2-2(x)(3)+3^2-3^2+2\\\\\text{Use}\ (a-b)^2=a^2-2ab+b^2\to x^2-2(x)(3)+3^2=(x-3)^2\\\\f(x)=(x-3)^2-9+2=(x-3)^2-7$

8 0

3 years ago

A population of bacteria is 8500 on Day 1, 9350 on Day 2, and 10285 on Day 3.

11111nata11111 [884]

Answer:

<em>The population on 30th day will be </em><em>134836</em><em>.</em>

Step-by-step explanation:

This is a case of exponential growth. The general form of exponential function is,

$y=ab^x$

where, a and b are constants.

The data points from the question are $(1,8500),(2,9350),(3,10285)$

Putting the values in the function,

for $x=1, y=8500$

$8500=ab$ ----------1

for $x=2, y=9350$

$9350=ab^2$ ------2

Dividing equation 2 by 1,

$\Rightarrow \dfrac{ab^2}{ab}=\dfrac{9350}{8500}=1.1$

$\Rightarrow b=1.1$

Putting the value of b in equation 1,

$\Rightarrow a=\dfrac{8500}{1.1}=7727.27$

Now the function becomes,

$y=7727.27(1.1)^x$

Putting x=30, we get

$y=7727.27(1.1)^{30}=134836.2\approx 134836$

4 0

3 years ago

Read 2 more answers

Evaluate sec960°.<br> 1. -2<br> 2. - 2 sqrt3/3<br> 3. 2sqrt 3/3<br> 4. 2

Eduardwww [97]

Answer:

-2

Step-by-step explanation:

We want to evaluate;

$\sec960\degree$

We use the reciprocals of trigonometric ratios to obtain;

$\sec960\degree=\frac{1}{\cos960\degree}$

The 960 degree angle makes an angle of 60 degree with the positive direction of the x-axis and it is in the 3rd quadrant.

This implies that;

$\sec960\degree=\frac{1}{-\cos60\degree}$

We use special trigonometric ratios to obtain;

$\sec960\degree=\frac{1}{-\frac{1}{2}}$

$\sec960\degree=-2$

7 0

3 years ago

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98n^2-200 factoring special cases

Kipish [7]

Step-by-step explanation:

Factor 98n2−200

98n2−200

=2(7n+10)(7n−10)

Answer:

2(7n+10)(7n−10)

8 0

3 years ago