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4 years ago

9

Danny just answered a help-wanted ad. The ad states that the job pays $27 K annually. What would Danny's monthly salary be if he

gets this job?

1 answer:

Natalija [7]4 years ago

4 0

Annually means per year
One year=12 months
27000/12= 2250$

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Length of a rectangle is 8cm increased by 150%.calculate the new lenght

sashaice [31]

Answer:

l=8

l'=8×150/100=12cm

increase in l=8+12=20cm

3 0

3 years ago

Read 2 more answers

Can someone help me please?

Helga [31]

You just find the lowest denominators

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3 years ago

Mike and Ken shared some stamps. \frac{1}{5} 5 1 of Ken's stamps were \frac{1}{3} 3 1 of Mike's stamps. If Mike gave Ken 24

Zielflug [23.3K]

Answer:

Mike had 72 stamps

Ken had 120 stamps

Step-by-step explanation:

Given

$M \to Mike$

$K \to Ken$

$\frac{1}{5} * K = \frac{1}{3} * M$

$K + 24 = 3 * ( M - 24)$

Required

Find K and M

Make K the subject in: $K + 24 = 3 * ( M - 24)$

$K = 3 * ( M - 24) - 24$

Substitute $K = 3 * ( M - 24) - 24$ in $\frac{1}{5} * K = \frac{1}{3} * M$

$\frac{1}{5} * [3 * ( M - 24) - 24] = \frac{1}{3} * M$

Open brackets

$\frac{1}{5} * [3M - 72 - 24] = \frac{1}{3} * M$

$\frac{1}{5} * [3M -96] = \frac{1}{3} * M$

Multiply both sides by 15

$3* [3M -96] = 5 * M$

$9M -288 = 5M$

Collect like terms

$9M -5M= 288$

$4M= 288$

Divide both sides by 4

$M= 72$

Substitute $M= 72$ in $K = 3 * ( M - 24) - 24$

$K = 3 * (72 - 24) - 24$

$K = 3 * 48 - 24$

$K = 120$

3 0

3 years ago

Vector A⃗ has magnitude 5.00 and is at an angle of 36.9∘ south of east. Vector B⃗ has magnitude 6.40 and is at an angle of 20.0∘

timama [110]

Answer:

3.9984i-3.0021j

Step-by-step explanation:

Due to the fact that we are only asked for the components on A, we will focus on that information.

The first thing we need to do is to dimension the magnitud of A as a hypotenuse of a right triangle. As the vector is ponting in south-east direction, we can asume that it´s (i) component will be positive and it´s (j) component will be negative.

Now, using trigonometric functions we can find the components of the vector A by multiplying the magnitude by -sin(x) for (j) and cos(x) for (i).

-5sin(36.9)=-3.0021

(this component is negative due to the fact that the vector is pointing down)

5cos(36.9)= 3.9984

Now we write in the correct notation x(i) + y(j)

3.9984i-3.0021j

8 0

4 years ago

A handyman is replacing tiles in the bathroom. He has enough to cover an area of 12 square feet. The section of the floor that h

siniylev [52]

No he does not because he can only cover 12 square feet from 15 square feet which he will still need 3 more. this is because if 3×5=15 square feet and 15-12=3 which thats the answer

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4 years ago