Tamara gets paid an annual salary of $48,000 and earns 4% commission on all sales she makes. If Tamara wants to make $6,000 this month, how much in sales does she need to have?a. $30,000
b. $50,000
c. $100,000
d. $150,000

Answers

Answer 1
Answer: Given that Tamara's annual salary is $48,000 means that his monthly salary is $48,000 / 12 = $4,000. For Tamara to make $6,000 this month, she needs to make an additional $2,000 from commissions in addition to her salary. Given that she earns 4% commision on all sales, let the sale she needs to make to get $2,000 be S, then 4 / 100 x S = 2000 this gives 0.04S = 2000 giving that S = 2000 / 0.04 = 50,000. Therefore, Tamara needs to make a sales of $50,000 to be able to earn $6,000 this month.

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A hybrid car can travel 40 miles per gallon. Approximately how many gallons of fuel will the car need to travel 20 km? (5 points) [1 mile = 1.6 km]

Answers

Answer:

To travel 20 Km, the hybrid car needs 0.3125 gallons of fuel.

Step-by-step explanation:

Proportions

The hybrid car can travel 40 miles per gallon.

Since one mile is equivalent to 1.6 Km, the distance traveled per gallon is 40*1.6 = 64 Km.

Now the distance is expressed in Km, we can find the gallons needed to travel 20 Km, by calculating 20/64 = 0.3125.

To travel 20 Km, the hybrid car needs 0.3125 gallons of fuel.

What is an equation in point-slope form of the line that passes through (-7,1) and (-3, 9)

Answers

Step-by-step explanation:

let eqn be y - y1 = m(x - x1)

m = (9 - 1)/(-3 - (-7))

m = 2

sub (-7, 1):

y - 1 = 2(x + 7)

therefore, the equation is y - 1 = 2(x + 7)

Topic: coordinate geometry

If you like to venture further, feel free to check out my insta (learntionary). I'll be constantly posting math tips and notes! Thanks!

Answer:
y=2x+15

Solution:
Refer to the diagram

A farmer in china discovers a mammal hide that contains 25% of its original amount of c-14

Answers

Plato answer is 13863


You have left a LOT out of your question.  However I'll attempt to post an answer.

The half-life of carbon 14 is 5,700 years.

If there is 25% of the original carbon 14 remaining that means the time it has undergone has been 2 half lives.

2 half-lives of carbon14 = 2 * 5,700 = 11,400 years.


A colony contains 1500 bacteria. The population increases at a rate of 115% each hour. If x represents the number of hours elapsed, which function represents the scenario?A f(x) = 1500(1.15)x

B f(x) = 1500(115)x

C f(x) = 1500(2.15)x

D f(x) = 1500(215)x

Answers

Answer:

Option (c) is correct.

f(x)=1500(2.15)^x function representing the increase of bacteria every hour x,

Step-by-step explanation:

Given : A colony contains 1500 bacteria. The population increases at a rate of 115% each hour.

we have to find the function that represents the given scenario.

Let x represents the number of hours elapsed.

Given  A colony contains 1500 bacteria

 and number of bacteria is increasing at a rate of 115% each hour.

Using formula for Compound interest , we have,

A=P(1+(r)/(100) )^t

Where A is amount

T is time period

R is rate of interest

Here, P = 1500

T = x hours

R = 115%

Let f(x) be the function representing the increase of bacteria every hour.

Substitute, we have,

f(x)=1500(1+(115)/(100) )^x

Simplify, we get,

f(x)=1500(1+1.15)^x

f(x)=1500(2.15)^x

Thus, f(x)=1500(2.15)^x function representing the increase of bacteria every hour x,

its  f(x)=1500(2.15)x so c hope this helps

Write 0.5 in words.?write 0.5 in words? Write 0.5 in words?

Answers

Here are 3 possible answers that all work:
one half
five tenths
I would stick to the 2 answers listed above, but this also works:
fifty percent

Answer:

Half

Step-by-step explanation:

Any time that you see .5 it means it is half. EX. 2.5 means 2 and a half!

PLEASE HELP!A company is creating a box without a top from a piece of cardboard, but cutting out square corners with side length x.

Which expression can be used to determine the greatest possible volume of the cardboard box?


A) (x−7)(x−11)x
B) (7−2x)(11−2x)x
C) (11−7x)(11x−7)
D) (7x−11)(7−11x)

Answers

Answer:

Option B

Step-by-step explanation:

Given is a rectangle with width 7 and length 11.

From each corner of the rectangle a square of length x is cut and foled to make a box

Now for the open box we made, height = x

width = rectangle width - 2 times d

= 11-2x

Length = rectangle length-2x

Hence volume of box

=lwh

= (7-2x)(11-2x)x

Answer: B) (7-2x)(11-2x)x

Step-by-step explanation:

Given: The length of the cardboard = 11 in.

The width of the cardboard =7 in.

If a box is created without a top from a piece of cardboard, but cutting out square corners with side length x, then the dimensions of box will be:-

Width (w)= 7-2x

length (l)= 11-2x

Height (h)=x

Now, volume of rectangular box is given by :-

V=lwh\n\n\Rightarrow\ V=x(7-2x)(11-2x)

Hence, the expression can be used to determine the greatest possible volume of the cardboard box is given by :-

(7-2x)(11-2x)x

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