Grace earned £32,000 last year. She worked for 35 hours a week for 50 weeks. Calculate her pay per hour. Give your answer to 2 decimal places.

Answers

Answer 1

Answer:

18.29

Step-by-step explanation:

32000 ÷ 35 ÷ 50 = 18.2857143

Answer 2
The answer is £20.00 per hour.

Related Questions

Find the missing side of triangle

Answers

Final Answer:

x = 20

Step-by-step explanation:

we'll be using the pythagorean theorem method, in this triangle the missing letter is a.

formula: [tex]a=\sqrt{c^2-b^2}[/tex]

a = x

b = 21

c = 29

a = [tex]\sqrt{29^2-21^2}[/tex]

a = [tex]\sqrt{841-441}[/tex]     (note: 29² = 29 × 29 = 841 and 21² = 21 × 21 = 441)

a = [tex]\sqrt{400}[/tex]

a = 20

x = 20

what's 14 1/4 in lb into ounces

Answers

Answer:

228

Step-by-step explanation:

We are asked to convert 14 1/4 pounds into ounces, to do so, we need to multiply the amount of pounds by 16.

14 1/4 or 14.25

14.25 * 16

==> 228

Meaning there are 228 ounces in 14 1/4 pounds

I need to buy enough fencing to go all around my rectangular garden. The garden is 20m long and 5m wide. How many meters of fencing will I need?

I need explanation with answer
Thank you!​

Answers

Find the perimeter
So 20 times 2
And 5 times 2
Then add the two

Your answer is 50m

50 m

Step One: Every rectangle, opposite side are equal sides.

Area=2, the area of this rectangle is 2*(l+b).

Step Two: Simplify the numbers: 2*(l+b) is also equal to 2*(20+5) and 2*(20+5) is equal to 2*25, so:

50 meters.

I hope I've helped!

Find the commission on a sale of $600 with a 5% commission rate.

Answers

Answer: $30

Step-by-step explanation:

Answer:

$30

Step-by-step explanation:

10% of 600 = 60

5% of 600 = 30

Help me with this anyone

Answers

Answer:

1/4

Step-by-step explanation:

b+-sqrt b^2-4ac all over 2a

I NEEDDDD HELPPPP ITS URGENTTTT!!!!!!

Answers

radius: (-3, 7)
center: 11

When Jonathan runs the 400 meter dash, his finishing times are normally distributed with a mean of 88 seconds and a standard deviation of 2.5 seconds. If Jonathan were to run 48 practice trials of the 400 meter dash, how many of those trials would be between 89 and 91 seconds, to the nearest whole number?

Answers

Answer:

3.18%

2 between 89   91

Step-by-step explanation:

*Probability-Between 3.18%

Z1=0.04 Z2=0.12

x-1 89

x-2 (not required) 91

µ 88

σ 25

what is the volume of the cone below?​

Answers

Answer:

96 pi

Step-by-step explanation:

The formula for the volume of a cone is V=pi*r^2*h/3 the radius is 4 and the height is 18 plug in those values into the equation to get V=pi*16*6 16*=96 so the answer is 96 pi.

Answer:

Volume = 96π cu. units

Step-by-step explanation:

Cone volume = πr^2h/3 where r = radius and h = height

V=π(4)^2(18)/3

V=π(16)(18)/3

V=π288/3

V=96π

3) Suppose Sandra makes credit card purchase for $4,000 that compounds interest daily. The APR is 3%. How much interest is earned on Sandra’s card after 1 year if Sandra makes no payments? (Use the formula below for help).

A=P(1+r/n)nt

Answers

Answer:

$121.81

Step-by-step explanation:

A=  4000(1+.03/365)^365

[tex]4000\left(1+\frac{0.03}{365}\right)^{365}=4121.81305\dots[/tex]

Total interest earned on Sandra’s card after 1 year is $4,121.81

What is compound interest?

Compound interest is defined as interest paid on the original principal and the interest earned on the interest of the principal.

A=P(1+r/n[tex])^{nt}[/tex]

Where:

A = the future value of the investment or loan

P = the principal investment or loan amount

r = the interest rate (decimal)

n = the number of compound periods

Given,

A=P(1+r/n[tex])^{nt}[/tex]

Sandra makes a credit card purchase for $4,000 that compounds interest daily.

P = $4,000

r =3%

t = 1 year

A=P(1+r/n[tex])^{nt}[/tex]

Substitute the values of P, r and t in the formula,

First, convert R as a percent to r as a decimal

r = R/100

r = 3/100

r = 0.03 rate per year,

Then solve the equation for A

A = P(1 + r/n)nt

A = 4,000.00(1 + 0.03/365)(365)(1)

A = 4,000.00(1 + 8.2191780821918E-5)(365)

A = $4,121.81

Therefore, total interest earned on Sandra’s card after 1 year is $4,121.81.

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Jerome solved the equation below by graphing. log Subscript 2 Baseline x + log Subscript 2 Baseline (x minus 2) = 3 Which of the following shows the correct system of equations and solution?

Answers

Answer:

B. on edge 2021

Step-by-step explanation:

y 1 = StartFraction log x Over log 2 EndFraction + StartFraction log (x minus 2) Over log 2 EndFraction, y 2 = 4; x = 4

Answer:

It's B :))

Step-by-step explanation:

simplify
(-3y)*(-7y)

Answers

Answer:

answer of this question is

21y^2

What are the solutions to the quadratic equation 3(x - 4)2 = 75?
O x = -9 and x = 1
O x = -5 and x = 5
O x = -4 and x = 4
O x = -1 and x = 9

Answers

Answer:

4th option, x = -1 and x = 9

Step-by-step explanation:

3(x-4)²=75

or, (x-4)²=25

or, x²-8x+16-25=0

or, x²-8x-9=0

or, x²-9x+x-9=0

or, x(x-9)+1(x-9)=0

or, (x-9)(x+1)=0

so, x-9=0 or, x=9

and x+1=0 or, x=-1

The two solutions of the quadratic equation are:

x = -1 and x = 9

How to solve the quadratic equation?

The quadratic equation is:

3*(x - 4)^2 = 75

We can expand it as:

3*x^2 - 3*2*4*x + 3*16 = 75

3x^2 - 24x  -27 = 0

Now, using Bhaskara's formula we get:

[tex]x = \frac{-(-24) \pm \sqrt{(-24)^2 - 4*3*(-27)} }{2*3} \\\\x = \frac{24 \pm 30 }{6}[/tex]

So the two solutions are:

x = (24 + 30)/6 = 9

x = (24 - 30)/6 = -1

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You want to make a nut mix that has almonds, cashews, and peanuts. Almonds cost $7 per pound, cashews are $5 per pound, and peanuts are $2 per pound. If you want to make a 10 pound mix with a $20 budget find the possible mix combinations of almonds, cashews, and peanuts. How many pounds of almonds should you use

Answers

Answer and explanation:

Assume Almond is a

Cashew is c

Peanuts is p

The system of equations satisfies this thus:

a+c+p= 10

7a+5c+2p= $20

The system of equations has three unknowns. Solving for the unknown variables here would yield parametric equations or dependent system where given x y z we may find x in terms of y and z in terms of x, in that form. This would give many results for our problem which may not be very accurate.

What is 4 1⁄2 cm in millimetres

Answers

Answer:

the answer is 205 millimeters

Answer:

205 millimeters.

Step-by-step explanation:

just is

Geometry, please answer question ASAP

Answers

Answer:

Option A

Step-by-step explanation:

first calculate side b

which is 35.8

Using 2 lengths, calculate Angle G

OPTION A :)

Someone help plsssss

Answers

Its either (top to bottom) 1 or 4

If x is 2/3 of y and y is 3/4 of z, what is the ratio of:x? *
a) 1:2
b) 1:1
c) 2:1
d) 3:2
e) 4:3

Answers

Answer:

Answer is option C

Step-by-step explanation:

If you like my answer than please mark me brainliest thanks

Let f(x) = x2 − 1 and g(x) = 3x. Find gf and state its domain

Answers

Step-by-step explanation:

here's the answer to your question

Answer:

[tex]g(x) \times f(x) = 3{x}^{3} -3x[/tex]

X exists for all real numbers.

Y exists for all real numbers.

Tính : 2020^3-1/2020+2021

Answers

Answer:

2020³-1/4041

Step-by-step explanation:

6
5 (0,4)
(5, 4)
x
3
(3, 2)
2
(-2,0) 1
-5-4-3-2 JO1
2 3
-2 (0-2)
-3
-4
-5
4
5
- 7
-8
From the graph of the function, determine the domain and the range.

Answers

Step-by-step explanation:

according to the graph,

the domain is : -2 ≤ x < 0 or 0 < x ≤ 5

=> [-2, 0) U (0, 5]

the range is : -2< y ≤ 0 or 2≤ y ≤ 4

=> (-2, 0] U [2, 4]

the answer is option 1

The domain and range of the function are,

Domain = [-2, 0) U (0, 5]

Range = (-2, 0] U [2, 4]

What is mean by Function?

A relation between a set of inputs having one output each is called a function. and an expression, rule, or law that defines a relationship between one variable (the independent variable) and another variable (the dependent variable).

Given that;

The graph of the function is shown in figure.

Now, According to the graph, We get;

The domain is;

-2 ≤ x < 0

Or, 0 < x ≤ 5

Domain = [-2, 0) U (0, 5]

And, the range is;

-2< y ≤ 0

Or , 2≤ y ≤ 4

Range = (-2, 0] U [2, 4]

Thus, The domain and range of the function are,

Domain = [-2, 0) U (0, 5]

Range = (-2, 0] U [2, 4]

Learn more about the function visit:

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PLZZZ HELPPP, IF NOT 100% SURE PLZ DONT ANSWER…BRAINLIEST TO FIRST AND CORRECT ANSWER, THX TO SECOND AND CORRECT ANSWER

Answers

Answer:

1

Step-by-step explanation:

add 1/2 + 1/2 = 2/2 = 1

PLS HELP ME ON THIS QUESTION I WIL MARK YOU AS BRAINLIEST IF YOU KNOW THE ANSWER!!
The number of rare coins a coin collector owns is considered ________ data.
A. discrete
B. continuous
C. neither continuous nor discrete
D. both continuous and discrete

Answers

Answer:

The number of rare coins a coin collector owns is considered discrete data.

If the range of the function f(x) =5x + 8 is 18, find its domain.​

Answers

Step-by-step explanation:

f(X) = 5x+18= 18

so,

18 = 5x+18

18-18 = 5x

X= 0

so domain of the function is 0

pls help, and explain. Will give brainliest

Answers

Cost of 12 notebooks = $9

Ratio of number of notebooks to its price

= 12:9

= 4:3 (because we reduced it to the simplest form by dividing both numerator and denominator by 3)

Let the cost of 8 notebooks be x.

Then, 8:x = 4:3

=> 8/x = 4/3

=> (8×3)/4 = x

=> 24/4 = x

=> 6 = x

So, the cost of 8 notebooks is $6.

find square. root of 85849.​

Answers

Answer:

293

Step-by-step explanation:

✓85849=. 85849^1/2

= 293

3. In a primary election, 35% of voters voted for Goron, 15% voted for Smith, 40% voted for Fishman, and 10% voted for other candidates. (a) It was estimated that 280 people were going to vote. If this was true, how many people would have voted for Goron? Show your work. (b) Forty people voted for "Other." Was the estimate of total voters from Part (a) accurate? Explain.

Answers

Answer:

98 ppl voted for Gordan

Step-by-step explanation:

a) 35% of 280=98

b)  15% of 280=42

   40% of 280=112

    10% of 280=28

Add 98, 42, 112, and 28 and you get 280! Hope this helps :)

Last question, thank you guys a lot for helping me out

Answers

Answer: Her earnings after taxes will be $415.80 (choice C)

How?

PER 1 HOUR: 0.77 x (13.50 x 1) = 0.77 x $13.50 = $10.395

PER 40 HOURS: 0.77 x (13.50 x 40h) = 0.77 x 13.50 x 40 = $415.80

REALICE LOS SIGUIENTES PROBLEMAS DE ECUACIÓN DE LA RECTA CORRECTAMENTe

1.- Encuentre la ecuación vectorial de la recta si tenemos A(4, -2) y el vector V=(2, 5) paralelo a la recta y que pasa por A


2.- Encuentre la ecuación general de una recta conociendo un punto P(-2 ; 4) y su pendiente m= - 5 y grafique la recta.

Answers

Answer:

1. La ecuación vectorial de la línea es [tex]\begin{bmatrix} & x & \\ & y & \end{bmatrix} =\begin{bmatrix} & 4 & \\ & -2 & \end{bmatrix} + t \times \begin{bmatrix} & 2 & \\ & 5 & \end{bmatrix}[/tex]

2. La ecuación de la recta es, y = -5·x - 6

Step-by-step explanation:

 1. El punto dado en la línea es A (4, -2), el vector paralelo a la línea es (2, 5)

Por tanto, la ecuación vectorial de la línea es;

[tex]\begin{bmatrix} & x & \\ & y & \end{bmatrix} =\begin{bmatrix} & 4 & \\ & -2 & \end{bmatrix} + t \times \begin{bmatrix} & 2 & \\ & 5 & \end{bmatrix}[/tex]

Donde;

t = Cualquier número

2. El punto por el que pasa la recta es P (-2; 4)

La pendiente de la recta, m = -5

Por lo tanto, la ecuación de la línea en forma de punto y pendiente se presenta de la siguiente manera;

y - 4 = (-5) · (x - (-2)) = -5 · x - 10

∴ y - 4 = -5 · x - 10 + 4 = -5 · x - 6

La ecuación de la recta es, y = -5·x - 6

What is the mean of the set of data?
6, 7, 10, 12, 12 ,13
answer choices:
6
10
7
11​

Answers

Answer:

mean = 10

Step-by-step explanation:

The mean is calculated as

mean = [tex]\frac{sum}{count}[/tex]

         = [tex]\frac{6+7+10+12+12+13}{6}[/tex]

        = [tex]\frac{60}{6}[/tex]

       = 10

A jazz band wants to sell $6,558 worth of tickets. If each ticket costs $6, how many tickets will the band have to sell to meet its goal?

Answers

Answer:

1093 tickets

Step-by-step explanation:

Take the total amount and divide by the amount per ticket to determine the number of tickets

6558/6

1093 tickets

Answer:

The band have to sell 1093 Ticket to meet its goal

Step-by-step explanation:

Total cost = $6,558

Per Ticket cost =$6

formula:

No of Tickets = Total cost of Ticket ÷  Per Ticket Cost

                       = 6558 ÷ 6

No of Tickets = 1093

Check:

Total Cost = No of Ticket × Per ticket cost

                 = 1093 × 6

Total Cost =$6558

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