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Marina CMI [18]
2 years ago
13

The total cost of renting a car is $35.00 for each day the car is rented plus 37.5 cents for each mile the car is driven. what i

s the total cost of renting the car for 4 days and driving 300 miles
Mathematics
1 answer:
charle [14.2K]2 years ago
6 0
X = days rented and y = miles driven
4 days rented and 300 miles driven

35x + .375y = total cost

35(4) + .375(300) 
140 + 112.5

Total cost = $252.50

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105,159 rounded to the nearest ten thousand
ivolga24 [154]

For this case we have the following number:

105,159

By definition we have:

thousand place: five-digit number greater than zero.

On the other hand we have as a rule:

When the previous number is greater than or equal to five, then the next number increases by one.

So we have to round off to the nearest ten thousand:

105,159 = 110,000

Answer:

105,159 rounded to the nearest ten thousand is:

105,159 = 110,000

6 0
2 years ago
Read 2 more answers
The top of a ladder is 4m up a vertical wall.The bottom is 2m from the wall.The coordinate axes are the wall and the horizontal
mash [69]

Answer:

Part a) y=-2x+4

Part b) The coordinates of the point are (\frac{4}{3},\frac{4}{3})

Step-by-step explanation:

Part a) Find the equation representing the ladder

we have the ordered pairs

(0,4) and (2,0)

Find the slope

m=(0-4)/(2-0)=-2

Find the equation of the line in slope intercept form

y=mx+b

we have

m=-2\\b=4

substitute

y=-2x+4

Part b) A square box just fits under the ladder.Find the coordinates of the point where the box touches the ladder.

If the box is a square

the x-coordinate of the point where the box touches the ladder must be equal to the y-coordinate

x=y

y=-2x+4

substitute

x=-2x+4\\3x=4\\x=\frac{4}{3}

y=x=\frac{4}{3}

therefore

The coordinates of the point are (\frac{4}{3},\frac{4}{3})

6 0
2 years ago
a barangay has 1000 individuals and its population doubles every 60 years. Give an exponential model for the barangay's populati
sdas [7]

Answer:

P(t) = 1000e^(0.01155)t

Step-by-step explanation:

Let the population of barangay be expressed according to the exponential formula;

P(t) = P0e^kt

P(t) is the population of the country after t years

P0 is the initial population

t is the time

If barangay has 1000 initially, this means that P0 = 1000

If the population doubles after 60years then;

at t = 60, P(t) = 2P0

Substitute into the formula

2P0 = P0e^k(60)

2 = e^60k

Apply ln to both sides

ln2 = lne^60k

ln2 = 60k

k = ln2/60

k = 0.01155

Substitute k = 0.01155 and P0 into the expression

P(t) = 1000e^(0.01155)t

Hence an exponential model for barangay's population is

P(t) = 1000e^(0.01155)t

7 0
2 years ago
KC has a piece of gum stuck to her bike tire, which applies a forward torque (i.e. a force to roll forwards) on the tire's movem
Kruka [31]

Answer:

  t(d) = 0.01cos(5π(d-0.3)/3)

Step-by-step explanation:

Since we are given the location of a maximum, it is convenient to use a cosine function to model the torque. The horizontal offset of the function will be 0.3 m, and the horizontal scaling will be such that one period is 1.2 m. The amplitude is given as 0.01 Nm.

The general form is ...

  torque = amplitude × cos(2π(d -horizontal offset)/(horizontal scale factor))

We note that 2π/1.2 = 5π/3. Filling in the given values, we have ...

  t(d) = 0.01·cos(5(d -0.3)/3)

6 0
2 years ago
Read 2 more answers
The Zonda Information and Telephone Company (ZI&T) calculates a customer’s total monthly cell phone
Olenka [21]

Answer:

The answer of the following question is m = \frac{C - b - bt}{r + rt}.

Solution:

C = (b + rm)(1 + t),

C = b + rm + bt + rmt

C = b + bt + rm + rmt

C - b - bt = m (r + rt)

\frac{C - b - bt}{r + rt} = m

t\neq -1,  

r\neq 0

6 0
2 years ago
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