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3 years ago

If you earn $12 an hour and you work 40 hours a week, how much do you earn a month?

Mathematics

2 answers:

tensa zangetsu [6.8K]3 years ago

7 0

Answer:

$1920

Step-by-step explanation:

$12/hr

40hrs a week

40×12=$480/week

as there is 4week a month

2×$480=$1920

qaws [65]3 years ago

4 0

Answer:

$1,920

Step-by-step explanation:

you multiply 12 by 40. then, assuming a typical month is 4 weeks, you multiply that number by 4.

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Tom buys a boat from a friend, and will pay his friend the same amount of money each year until the boat is paid for. The follow

Dmitry_Shevchenko [17]

The graph of amount Tom owes his friend after a given time, t, is a straight line graph with a negative slope

Please find attached the required example of a possible graph that shows the amount Tom owes his friend

Reason:

Let A represent the amount of money Tom buys the boat with, let x

represent the amount of equal payment made and y represents the

amount Tom owes the friend after a given time, t, we have;

y = A - x·t

Therefore, the slope of the graph formed is -x, the y-intercept of the graph

is A, from which the graph that gives the amount of money, in dollars, Tom

owes his friend, as a function of time, in years can be presented as follows,

using example values;

A = $25,000 (Amount the Tom agrees to buy the boat)

x = $5,000 (Amount Tom pays each year for the boat)

By plugging in the above example values, the attached graph can be drawn using MS Excel

Learn more about plotting of straight line graphs here:

brainly.com/question/11097080

6 0

2 years ago

What is coordinate geometry

Elina [12.6K]

is the study of algebraic equations on graphs

An example of the coordinate geometry is plotting point,lines and curves on

an x & Y axis thanks

7 0

3 years ago

How do you find the f(x) inverse using fractions?

fenix001 [56]

For example.. 1) switch places of x and y. x=3y+1 x=3 y +1
2) try to solve for y. so multiply the denominator by x to get rid of it
3) after multiplying, ur left with xy+x=3 x y + x=3
4) that converts to 2xy= x y =3
5) get rid of 2x on left by placing it on the right
6) convert y to inverse function

4 0

3 years ago

A given field mouse population satisfies the differential equation dp dt = 0.5p − 410 where p is the number of mice and t is the

ohaa [14]

Answer:

a) $t = 2 *ln(\frac{82}{5}) =5.595$

b) $t = 2 *ln(-\frac{820}{p_0 -820})$

c) $p_0 = 820-\frac{820}{e^6}$

Step-by-step explanation:

For this case we have the following differential equation:

$\frac{dp}{dt}=\frac{1}{2} (p-820)$

And if we rewrite the expression we got:

$\frac{dp}{p-820}= \frac{1}{2} dt$

If we integrate both sides we have:

$ln|P-820|= \frac{1}{2}t +c$

Using exponential on both sides we got:

$P= 820 + P_o e^{1/2t}$

Part a

For this case we know that p(0) = 770 so we have this:

$770 = 820 + P_o e^0$

$P_o = -50$

So then our model would be given by:

$P(t) = -50e^{1/2t} +820$

And if we want to find at which time the population would be extinct we have:

$0=-50 e^{1/2 t} +820$

$\frac{820}{50} = e^{1/2 t}$

Using natural log on both sides we got:

$ln(\frac{82}{5}) = \frac{1}{2}t$

And solving for t we got:

$t = 2 *ln(\frac{82}{5}) =5.595$

Part b

For this case we know that p(0) = p0 so we have this:

$p_0 = 820 + P_o e^0$

$P_o = p_0 -820$

So then our model would be given by:

$P(t) = (p_o -820)e^{1/2t} +820$

And if we want to find at which time the population would be extinct we have:

$0=(p_o -820)e^{1/2 t} +820$

$-\frac{820}{p_0 -820} = e^{1/2 t}$

Using natural log on both sides we got:

$ln(-\frac{820}{p_0 -820}) = \frac{1}{2}t$

And solving for t we got:

$t = 2 *ln(-\frac{820}{p_0 -820})$

Part c

For this case we want to find the initial population if we know that the population become extinct in 1 year = 12 months. Using the equation founded on part b we got:

$12 = 2 *ln(\frac{820}{820-p_0})$

$6 = ln (\frac{820}{820-p_0})$

Using exponentials we got:

$e^6 = \frac{820}{820-p_0}$

$(820-p_0) e^6 = 820$

$820-p_0 = \frac{820}{e^6}$

$p_0 = 820-\frac{820}{e^6}$

8 0

3 years ago

Pls do 2 3 4 a and b

kirza4 [7]

Answer:

2.a)11.355 b)0.94625

3. divide 6 by 4

4. 0.8kg, 800g

Step-by-step explanation:

To convert one measurement to another you need to set it up so that the old measurement gets cancelled out when you multiply the conversion ratio.

2a) $\frac{3 gallons}{1} *\frac{3.785 milliliters}{1 gallon}=11.355 milliliters$ the gallons on top and bottom get cancelled out leaving you with the measurement that you want

2b) $\frac{1quart}{1} *\frac{1 gallon}{4 quarts} *\frac{3.785 milliliters}{1 gallon} = 0.94625 milliliters$

3) $\frac{x}{y} \frac{6 quarts}{1} *\frac{1 gallon}{4 quarts} = 1.5 gallons$

4) $\frac{28 ounces}{1} *\frac{1 kilogram}{35 ounces} = 0.8 kilograms$

$\frac{0.8 kilograms}{1} *\frac{1000 grams}{1 kilogram} = 800 grams$

7 0

3 years ago