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VMariaS [17]
2 years ago
7

Two percent of Jennie’s skin cells were burned when she escaped from a fire. If 3.7×10^10 of her skin cells were burned then, ho

w many skin cells were not burned?
Mathematics
1 answer:
gulaghasi [49]2 years ago
8 0

1813\times10^9 cells were not burnt when Jennie escaped from the fire.

<u>Solution:</u>

Given:

2% of skin cells were burnt i.e, 3.7\times10^{10} of skin cells were burnt.

To find:

Number of skin cells that were not burnt

We can write 3.7\times10^{10} \text{ as } 37\times10^{9}

Therefore, by equating the values we get,

2% of the cell is 37\times10^9

1% of the cell is \frac{37\times10^9}{3}=18.5\times10^9

As, 1% of the cell is 18.5\times10^9

98%  of the cell will be 98\times18.5\times10^9=1813\times10^9

\therefore \text{ skin cells that are not burnt is } 1813\times10^9

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: The You Move It Company (YMI) advertises that the cost to rent a ​moving truck for one day is $40 plus $1.99 for each mile the
mars1129 [50]

Part A: For 100 miles, the cost will be same for both companies.

Part B: Alex should use Drive and Move company as it will cost him less money.

Step-by-step explanation:

Given,

Starting amount of YMI= $40

Per mile charges = $1.99

Let,

x be the number of miles.

y be the total charges.

y = 1.99x+40    Eqn 1

Starting amount of DM = $60

Per mile charges = $1.79

y=1.79x+60    Eqn 2

Part A:

For same charges;

Eqn 1 = Eqn 2

1.99x+40=1.79x+60\\1.99x-1.79x=60-40\\0.20x=20

Dividing both sides by 0.20

\frac{0.20x}{0.20}=\frac{20}{0.20}\\x=100

For 100 miles, the cost will be same for both companies.

Part B:

Total miles = x = 150

Putting x=150 in Eqn 1

y=1.99(150)+40

y=298.5+40

y=$338.50

Putting x=150 in Eqn 2

y=1.79(150)+60

y=268.5+60

y=$328.50

Alex should use Drive and Move company as it will cost him less money.

4 0
2 years ago
The revenue of Apple® went from $54.5 billion in 2013 to $74.6 billion1 in 2015. Find an exponential function to model the reven
Rus_ich [418]

r = continuous growth rate

revenue t years after 2013 = 54.5×10⁹×e^(rt)

74.6×10⁹ = 54.5×10⁹×e^(2r)

e^(2r) = 74.6/54.5

2r = ln(74.6/54.5)

r = ½ln(74.6/54.5) ≅ 0.15697 = 15.697% per year

Hope this helps!

6 0
2 years ago
9. Darcy is buying apples and oranges for a large fruit basket to give away as a door prize at a charity event. Apples cost $0.2
Sladkaya [172]
Assume that the number of apples is x and the number of oranges is y.

For the first given, we know that each apple costs $0.24 and each orange costs $0.8, therefore:
amount paid for apples = 0.24x and amount paid for oranges = 0.8y
we also know that the total amount spent is $12, therefore the first equation is as follows:
0.24x + 0.8y = 12

For the second given, we know that the total number of fruit bought is 20, therefore, the second equation is:
x + y = 20

You can easily graph these two functions and find a possible combination from the graph (the correct combination would be the intersection between the two lines).


5 0
2 years ago
Sue’s Corner Market has a markup of 60% on bottled water. If the market sells a bottle of water for $2, find the original amount
lakkis [162]

Markup is the amount added to the cost price of goods to cover overhead and profit.

Sue’s Corner Market has a markup of 60% on bottled water.

Let us say original price was $x.

Now price after markup is $2.

So we can make an equation like:

original price + markup price = price after markup

x + 60% of x =2

x + 0.6x =2

1.6x =2

dividing both sides by 1.6

x= 1.25

So original price was 1.25 dollars.

5 0
2 years ago
Read 2 more answers
If c (x) = StartFraction 5 Over x minus 2 EndFraction and d(x) = x + 3, what is the domain of (cd)(x)?
Volgvan

Answer:

The domain of the function (cd)(x) will be all real values of x except x = 2.

Step-by-step explanation:

The two functions are c(x) = \frac{5}{x - 2} and d(x) = x + 3

So, (cd)(x) = (\frac{5}{x - 2})(x + 3) = \frac{5(x + 3)}{x - 2}

Then, for x = 2 the function (cd)(x) will be undefined as zero in the denominator will make the function (cd)(x) undefined.

Therefore, the domain of the function (cd)(x) will be all real values of x except x = 2. (Answer)

8 0
2 years ago
Read 2 more answers
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