A woman wishes to rent a house within 9 miles of her work. If she lives x miles from her work, her transportation cost will be cx dollars per year, while her rent will be 49c x 1 dollars per year, where c is a constant taking various situational factors into account. How far should she live from work to minimize her combined expenses for rent and transportation

Answers

Answer 1

Answer:

5 miles

Step-by-step explanation:

divide the 9 by 45 to get 6 subtract the 1 to get 4


Related Questions

Find the Area of the figure below, composed of an isosceles trapezoid and one semicircle. Rounded to the nearest tenths place


Answers

Step-by-step explanation:

the area =

[½(8+2)×4] + [½×3.14×1²]

= 20 + 1.57

= 21.57

= 21.6

Simplify this expression 5xy - x2 + 2xy + 3x2​

Answers

Answer: 5xy-x2t+2xy+3x2t Final result : x • (2xt + 7y) Step by step solution : Step 1 :Equation at the end of step 1 : ((5xy-((x2)•t))+2xy)+(3x2•t) Step 2 : Step 3 :Pulling out like terms : ...

Step-by-step explanation:

Answer:

2  [tex]x^{2}[/tex] + 7 x y

Step-by-step explanation:

12(x-2×4-2x-5)
Solve...

Answers

Answer:

=−12x−156

Step-by-step explanation:

=(12)(x+−8+−2x+−5)

=(12)(x)+(12)(−8)+(12)(−2x)+(12)(−5)

=12x−96−24x−60

=−12x−156

Step-by-step explanation:

= 12(x - 8 -2x - 5)

= 12(-x - 13)

= -12x - 156

please give me a brainliest answer

lily cleaned the coin fountain at the mall and found 20 coins consisting of nickels and quarters. Her collection totaled $2.60 . How many quarters did she find

Answers

Answer:

10

Step-by-step explanation:

eight quarters in $2.00, 2 quarters in .50 cents = 10 quarters.

what is the slope of the line containing the points (3,-7) and (-3,7)

Answers

Answer:

-7/3

Step-by-step explanation:

To find the slope, we use the slope formula

m= ( y2-y1)/(x2-x1)

   = ( 7 - -7)/(-3 -3)

    = ( 7+7)/( -6)

    = 14/-6

   = 7/-3

   = -7/3

Step-by-step explanation:

m = y2-y1 / x2-x1

= 7+7 / -3-3

= 14/-6

= -7/3

what is 240.50 x 19.54

Answers

Answer:

240.50 x 19.54= 4699.37

Is is possible to divide Pi aka : 3.14159

Answers

Answer:

If you WANT to divide pi, there is half a pi left.

Step-by-step explanation:

There are 2pi radians in a circle. So one quarter of the circle corresponds to half of pi (If you want to divide to get half of pi) . So it would then be: one quarter corresponds to a half.

(if that makes sense! sorry if it doesn't :\ )

hello please help me

Answers

Answer:

perimeter is 9+7.5+6=22.5cmwe know that area is(1/2* base *height)

=1/2*9*4.2

=18.9square cm

Answer:

Perimeter: 6 + 7.5 + 9 = 22.5

area: 18.9

Step-by-step explanation:

Quickly answer number 10 text only no fonts (100 points) mark brainliest

Answers

25

have a great day! :3

Answer:

Hello again the square root of 625 is 25

Mikael has a loan of $40 000.
He pays 1.6% simple interest for six months
How much interest does he pay altogether?

Answers

Step-by-step explanation:

Based on the given conditions,

[tex] formulate: 1.6\% \times 40000 \times 12 \div 12

[tex] formulate: 1.6\% \times 40000 \times 12 \div 12Reduce the fraction: \dfrac{2 \times 40000}{125}

[tex] formulate: 1.6\% \times 40000 \times 12 \div 12Reduce the fraction: \dfrac{2 \times 40000}{125}[/tex]

[tex]Reduce the fraction: 2 \times320

[tex]Reduce the fraction: 2 \times320Calculate the product orquotient: 640[tex]

Answer 640

Answer:

[tex]\sf\longmapsto \: 640[/tex]

Step-by-step explanation:

Based on given cases:

[tex] \sf \: Formulate: 1.6\% \times 40000 \times 12 \div 12[/tex]

Reduce the fraction:

[tex] \sf \longmapsto \: \dfrac{2 \times 40000}{125}[/tex]

[tex] \sf \longmapsto \: 320 \times 2[/tex]

Calculate the product/quotient:

[tex] \sf\longmapsto \: 640[/tex]

Tom purchased international calling cards before traveling abroad. He bought a 60-minute card for $9.99, a 90-minute card for $14.29, a 100-minute card for $17.99, and a 200-minute card for $29.49. After using all of his calling cards, Tom used his mobile phone for 38 minutes at a rate of $2.99/minute.

Answers

The amount spent on calls per minute is an illustration of unit rates.

The amount spent on the 38-minute call is $113.62

The given parameters are:

[tex]\mathbf{Rate = \$2.99/minute}[/tex]

[tex]\mathbf{Time = 38\ minutes}\\[/tex]

So, the amount spent on call is:

[tex]\mathbf{Amount = Rate \times Time}[/tex]

This gives

[tex]\mathbf{Amount = \$2.99/minute \times 38\ minutes}[/tex]

Cancel out minutes

[tex]\mathbf{Amount = \$2.99 \times 38}[/tex]

[tex]\mathbf{Amount = \$113.62}[/tex]

Hence, the amount spent on the 38-minute call is $113.62

Read more about unit rates at:

https://brainly.com/question/18065083

The given diagram shows a construction completed using a straightedge and a compass.
B
À
E
The diagram shows the construction
If m ABC is 249, then m FDE is

Answers

Answer:

angle bisected of angle abc

24 degrees

Step-by-step explanation:

Answer:

Step-by-step explanation:

Tell me if im right

5 3/4 as an improper fraction

Answers

Answer:

23/4

Step-by-step explanation:

Answer:

A mixed number is an addition of its whole and fractional parts.

[tex]5 \frac{3}{4} [/tex]

Add:

[tex]5 \: and \: \frac{3}{4} [/tex]

To write 5 as a fraction with a common denominator, multiply by

[tex] \frac{4}{4} [/tex]

Combine:

[tex]5 \: and \: \frac{4}{4} [/tex]

Combine the numerators over the common denominator.

[tex] \frac{5.4 + 3}{4} [/tex]

Simplify the numerator.

Multiply 5 by 4.

Add 20 and 3.

[tex] \frac{23}{4} [/tex]

Step-by-step explanation:

Thanks!!!!!!

Giải giúp mình với ạ

Answers

Answer:

answer is b

Step-by-step explanation:

I need the answer for this

Answers

Answer:

it is either f or h

a line passes through the point of (4,2) and has a slope of -5/4

Answers

Answer:

y = -5/4x + 7

Step-by-step explanation:

y = -5/4x + b

2 = -5/4(4) + b

2 = -5 + b

7 = b

Answer quickly! [tex]x^{2} = 6[/tex]

Answers

[tex]x = \pm \sqrt{6}[/tex]

lost on what to do here.

Answers

Answer:

x = 45

Step-by-step explanation:

180-136 = 44

x - 1 = 44

x = 44 + 1

x = 45

x = 45°

Step-by-step explanation:

The two angles are supplementary so

[tex]136° + (x-1) = 180°[/tex]

[tex]\Rightarrow x - 1 = 44°[/tex]

or

[tex]x = 45°[/tex]

ok this is stressin me out anyone know this

Answers

X=7.
9x-7y=63
9x-7 x 0=63
9x - 0=63
9x=63
X=7.

Y=-9
9 x 0 -7y=63


Help!! I’m not sure what to do

Answers

Answer:

h=23

Step-by-step explanation:

triangle equals 180 degrees

180-40=140

140/4=35

H=23 hope it helps you out

Students were asked to find an equivalent value of the expression 13 divided by 19/100 which could a student use?

Answers

Answer:

68.4210526316

you first divide 19/100 and then you divide the out put 13/ 0.19

Step-by-step explanation:

g An employee joined a company in 2017 with a starting salary of $50,000. Every year, the employee receives a raise of $1,000 plus 5% of the salary of the previous year. (a). Set up a recurrence relation for the salary of the emplyee n years after 2017. A recurrence relation of a sequence is an equation that express a subscript n using one or more of previous terms. (b). What will be the salary of the employee in 2025

Answers

Answer:

a) s[n] = 1.05s[n-1] +1000; s[0] = 50,000

 b) $83,421.88

 c) s[n] = 70000·1.05^n -20000

Step-by-step explanation:

a) Let s[n] represents the employee's salary in dollars n years after 2017. The salary in 2017 is given as $50,000, so ...

 s[0] = 50000 . . . . the recursion relation initial condition

The next year, the salary is multiplied by 1.05 and 1000 is added:

 s[1] = 1.05·s[0] +1000

This pattern repeats, so the recursion relation is ...

 s[n] = 1.05·s[n-1] +1000

__

c) It is convenient to find a formula for the salary before trying to compute the salary 8 years on. So, we work part (c) before part (b).

The base salary gets multiplied by 1.05 each year, so can be described by the exponential function ...

 base salary after n years = 50,000·1.05^n

The add-on to the raise becomes a geometric sequence whose common ratio is 1.05. The sum can be described by the formula for the sum of such a sequence:

 sum = a1(r^n -1)/(r -1) . . . . . (see note below)

 sum of add-ons = 1000(1.05^n -1)/(1.05 -1) = 20000(1.05^n -1)

So, the total salary after n years is ...

 s[n] = 50000·1.05^n + 20000(1.05^n -1)

The exponential terms can be combined, so we have the explicit formula ...

 s[n] = 70000·1.05^n -20000

__

b) The year 2025 is 8 years after 2017, so we want to find s[8].

 s[8] = 70000·1.05^8 -20000 = 70000·1.4774554 -20000

    = 103,421.88 -20000 = 83,421.88

In 2025, the employee's salary will be $83,421.88.

_____

Note on the sum of the add-ons

A geometric sequence starts with term a1 and gets multiplied by a ratio r to make the next term: a2=r·a1; a3=r²·a1, ....

The sum of such a geometric sequence has the formula

 Sn = a1·(r^n -1)/(r -1)

Here, the sequence starts in year 1 with a1=1000 and has a common ratio r=1.05. The denominator of the sum is r-1 = 0.05 = 1/20, so the sum can be written as

 Sn = 20000·(1.05^n -1).

I need help, please. ​

Answers

[tex]p = 2(l + w) = 2.(15 + 12) = 54 cm[/tex]

what is the value of x when y is 31

Answers

Answer:

16

Step-by-step explanation:

Answer:

16

Step-by-step explanation:

Direct variation

y = kx

16 = k*8

Divide each side by 8

16/8 = 8k/8

2 = k

The equation is y =2x

y =2x

Let y =32

32 = 2x

Divide by 2

32/2 = x

16 =x

Find x Please Help Thank You

Answers

uhhhhhhhhhhhhhhhhh i have no clue so sorry

rational function f(x)=5-x/x^2+5x+6 f(x)=3

Answers

Answer:

jgfjfhjhjbnbvmnfnmf

Step-by-step explanation:

Simplify 12 to the power of 3 over 12 to the power of 7

A). 12 to the power of 4
B). 12 to the power of 10
C). 1 over 12 to the power of 4
D). 1 over 12 to the power of -4

Answers

C; subtract the exponents. Since 12 to the power of 7 is bigger, then u subtract the 3 from the seven and keep the 12 to the power of 4 on the bottom with a one on the top.

Answer:

The correct answer I think is D

Step-by-step explanation:

The explanation of the other person is right, but you do 3-7, which gives u -4

Please help hurry ,,,.€.£\’smsmmsms

Answers

bemwmwlwkwnebeb what do u need help on my guy??!!

Write the equation for the line that passes through ( - 8, - 4 ) and ( -6, - 1 ) in slope-intercept form.

Answers

Step-by-step explanation:

y=(3/2)x +8

that is the answer

The equation of the line is y = (3/2)x + 8 if  the line that passes through ( - 8, - 4 ) and ( -6, - 1 ).

What is a straight line?

A straight line is a combination of endless points joined on both sides of the point.

The slope 'm' of any straight line is given by:

[tex]\rm m =\dfrac{y_2-y_1}{x_2-x_1}[/tex]

It is given that:

The line that passes through (-8, - 4 ) and ( -6, - 1)

The standard form of the line in slope-intercept form:

y = mx + c

Here m is the slope of the line

c is the y-intercept.

As we know, the ratio that y increase as x increases is the slope of a line. The slope of a line reflects how steep it is, but how much y increases as x increases. Anywhere on the line, the slope stays unchanged (the same).

[tex]\rm m =\dfrac{-1-(-4)}{-6-(-8)}[/tex]

m = 3/2

y = (3/2)x + c

Plug x = -8, y = -4

-4 = (3/2)(-8) + c

c = 8

y = (3/2)x + 8

Thus, the equation of the line is y = (3/2)x + 8 if  the line that passes through ( - 8, - 4 ) and ( -6, - 1 ).

Learn more about the straight line here:

brainly.com/question/3493733

#SPJ2

helppppppppppppppppppppppppppppppppppppp

Answers

Answer:

(m÷3)+2in

Step-by-step explanation:

(m÷3) represents the division of Myron's height and 3

+2 is the extra 2 inches

Hope this helps! :)

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