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Fantom [35]
3 years ago
8

I arranged my books so that I had the same number of books on each of my 4 shelves. If each shelf has 16 books on it, how many b

ooks do I have in all? *
Mathematics
1 answer:
Doss [256]3 years ago
4 0

Answer:

64 books

Step-by-step explanation:

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A village experienced 2% population growth, compounded continuously, each year for 10 years. At the end of the 10 years, the pop
pantera1 [17]

Answer:

The initial population at the beginning of the 10 years was 129.

Step-by-step explanation:

The population of the village may be modeled by the following function.

P(t) = P_{0}e^{rt}

In which P is the population after t hours, P_{0} is the initial population and r is the growth rate, in decimal.

In this problem, we have that:

P(10) = 158, r = 0.02.

So

158 = P_{0}e^{0.02*10}

P_{0} = 158*e^{-0.2}

P_{0} = 129

The initial population at the beginning of the 10 years was 129.

6 0
3 years ago
Read 2 more answers
PLS help<br> solve for x: -6(2x-5) = 18
Mashutka [201]

Hey!


-6(2x-5) = 18


Switch it around and it becomes:


2x - 5 = 18 \div -6


First find 18 ÷ -6


18 \div -6 = -3

Positive ÷ negative OR negative ÷ positive is always negative.


That leaves you with:


2x - 5 = -3


Switch that around and it becomes:


-3 + 5 = 2x


Find -3 + 5


-3 + 5 = 2


That leaves you with:


2 = 2x


Divide both sides by 2 to leave <em>x</em> alone


\frac{2}{2} =  \frac{2x}{2}


\framebox{x = 1}

4 0
3 years ago
(c) The line with equation y = 2x +k is a tangent to curve y = 3x² +4. Find the value of k.​
statuscvo [17]

Answer:

k = 11/3

Step-by-step explanation:

If the line is tangent to the curve, then Δ = 0.

______________

Remembering:

Δ>0 two different points of intersection x' \neqx''

Δ=0 one point of intersection x' = x''

Δ<0 two different points of intersection in the complex plan x' and -x'

______________

As the line and the curve have one point of intersection, which is (x, y), we can make a equality between them:

2x + k = 3x² + 4

0 = 3x² - 2x + (4 - k)

Now we can use the Δ=0 (Δ= b² - 4ac)

Δ = 0 = (-2)² - 4.3.(4-k)

0 = 4 - 48 + 12k

12k = 44

k = 44/12 = 2 . 22 /3. 2.2 = 22/3.2 = 11/3

k = 11/3

6 0
2 years ago
A store is having a sale where winter clothes are 60% of the original price. A sweater is on sale for $30 . What was the origina
Flura [38]
x-price\ before\ sale\\60\%=0.6\\100\%=1\\\\From\ proportion:\\\\0.6\ \ \ \ \ -\ \ \ \ 30\\1\ \ \ \ \ \ \ \ -\ \ \ \ x\\\\0.6x=30\ \ |:0.6\\x=50\\\\Original\ price\ was\ \$50.
8 0
3 years ago
Read 2 more answers
Fill in the table using this function rule.<br> y = 5x+4
olya-2409 [2.1K]
No idea man

Explanation: I don’t man I just wang pints
3 0
2 years ago
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