All categories

3 years ago

Jill makes 40 hours per week. She makes $20 per hour. What is his gross pay

Mathematics

1 answer:

krek1111 [17]3 years ago

4 0

Answer:

Weekly Gross Income: $800

Anual Gross Income: $41,600

Monthly Gross Income: $3,466.67

Step-by-step explanation:

Weekly: 40 x 20 = 800

Anual: 40 x 20= 800 800x52= 41,600

Monthly:41,600 / 12= 3,466.6666666666666666666666

You might be interested in

Bob's can make 10 hamburgers in 3 minutes. How many

slega [8]

Answer:

3 minutes and 34 seconds

3 0

2 years ago

Read 2 more answers

A man travels 20 km by car from Town P to Town Q at an average speed of x km/h. He finds that the time of the journey would be s

yuradex [85]

Answer:

x = 20.

Step-by-step explanation:

First, you should remember the relation:

Distance = Speed*Time.

First, we know that a man travels a distance of 20km at a speed of x km/h, in a time T.

We can write this as:

20km = (x km/h)*T

We know that the time is shortened by 12 minutes if the speed is increased by 5km/h

Rewriting these 12 minutes in hours (remember that 60min = 1 hour)

12 min = (12/60) hours = 0.2 hours

Then from this, he can travel the same distance of 20km in a time T minus 0.2 hours if the speed is increased by 5 km/h

We can write this as:

20km = (x + 5 km/h)*(T - 0.2 h)

Then we have a system of two equations, and we want to find the value of x:

20km = (x km/h)*T

20km = (x + 5 km/h)*(T - 0.2 h)

First, we should isolate the variable T in one of the equations, if we isolate it in the first one, we will get:

20km/(x km/h) = T

Replacing that in the other equation we get:

20km = (x + 5 km/h)*(T - 0.2 h)

20km = (x + 5 km/h)*( 20km/(x km/h) - 0.2 h)

Now we can solve this for x.

Removing the units (that we know that are correct) so the math is easier to read, we get:

20 = (x + 5)*(20/x - 0.2)

We only want to solve this for x.

20 = x*20/x - x*0.2 + 5*20/x - 5*0.2

20 = 20 - 0.2*x + 100/x - 1

subtracting 20 in both sides we get:

20 - 20 = 20 - 0.2*x + 100/x - 1 - 20

0 = -0.2*x + 100/x - 1

If we multiply both sides by x we get:

0 = -0.2*x^2 + 100 - x

-0.2*x^2 - x + 100 = 0

This is just a quadratic equation, we can solve it using the Bhaskara's equation, the solutions are:

$x = \frac{-(-1) \pm \sqrt{(-1)^2 - 4*(-0.2)*100} }{2*-0.2} = \frac{1 \pm 9 }{-0.4}$

Then the two solutions are:

x = (1 + 9)/-0.4 = -25

x = (1 - 9)/-0.4 = 20

As x is used to represent a speed, the negative solution does not make sense, so we should use the positive one.

x = 20

then the average speed initially is 20 km/h

3 0

2 years ago

Through:(3,-1),slope=-1

Wewaii [24]

Answer:

y = -x + 2

Step-by-step explanation:

Use the point-slope formula y - k = m(x -h):

y - [-1] = -1(x - 3), or

y + 1 = -x + 3, or

y = -x + 2

5 0

3 years ago

PLEASE HELP!

Wittaler [7]

Answer:

See below

Step-by-step explanation:

Use the formulae directly

For a cone, with base radius = r and height = h, here are the related formula

$\textrm{Slant height l} = \sqrt{r^2 + h^2}$ (1)

$\textrm{Lateral surface area} = \pi r l$

$\textrm {Base area} = \pi r^2$

$\textrm { Total Surface Area SA} = \textrm{Base Area + Lateral Area} = \pi r^2 + \pi rl = \pi r(r + l)$ (2)

$\textrm{Volume V = } (1/3) \pi r^2h$ (3)

Therefore directly plugging in the numbers in the above equations:

Note:

l = slant height in cm
SA = total surface area in sqcm
V = Volume in cubic cm

Figure(a)

r = 4, h = 8

$\textrm{l} = \sqrt{4^2 + 8^2} =\sqrt{80} = 8.944 \\\textrm{SA} = 4\pi(4 + 8.944) = 4\pi(12.944) = 162.66\\\textrm{V} = (1/3)\pi(4^2)(8) = 134.04$

Figure(b)

r = 7, h =15

$\textrm{l} = \sqrt{7^2 + 15^2} =\sqrt{274} = 16.55$

$\textrm{SA} = 7\pi(7 + 16.55) = 517.89$

Figure (c)

r = 5, l = 8

$h = \sqrt{l^2 - r^2} = \sqrt{8^2 - 5^2} = \sqrt{39} = 6.245\\SA = \textrm{SA} = 5\pi(5 + 8) = 204.2\\V = (1/3)\pi(5^2)(6.245) = 163.5$

6 0

2 years ago

Antonia receives a $10,000 benefit payment at the end of each year. She can invest these payments in an account yielding 4% inte

kobusy [5.1K]

Answer: $44,518

Step-by-step explanation:

Using the formula:

PV = P( $\frac{1-(1+r)^{-n} }{r}$ )

PV = present value

P = Principal

r = rate

n = number of periods

From the question :

PV = ?

P = $10,000

r = 0.04

n = 5

Substituting into the formula , we have

PV = 10,000 ( $\frac{1-(1+0.04)^{-5} }{0.04}$ )

PV = 10,000 ( $\frac{1-0.8219271068}{0.04}$ )

PV = 10,000 ( $\frac{0.1780728932}{0.04}$

PV = 10,000 ( 4.451822331 )

PV = 44518.22331

Therefore :

PV≈ $ 44,518

8 0

3 years ago

Read 2 more answers