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densk [106]
3 years ago
9

The number of customers to visit a local small businesses 51,200 and has been continuously declining at a rate of 3.8 each year

what is the approximate number of customers that visit the business in 14 years
Mathematics
1 answer:
Len [333]3 years ago
3 0

Answer:

=30076 customers

Step-by-step explanation:

Number of customer= 51,200

rate of declination=3.8 %= 0.038

We will use the expresion below in calculating the approximate number of customers that visit the business in 14 years.

A=Pe^(rt)

Where P=initial amt,

r=annual rate of growth or decline,

A=amount after t years.

37800=Pe^.017t

51200=Pe^0.038

P= 51200/e^(0.038*14)

But e^(0.038*14)= 1.7023

P= 51200/1.7023

P=30076

Approximate number of customers that visit the business in 14 years≈30076

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What is the common ratio for the geometric sequence? 18,12,8,163,… Enter your answer in the box.
uysha [10]

Answer:

\frac{2}{3}.

Step-by-step explanation:  

We have been given a geometric sequence 18,12,8,16/3,.. We are asked to find the common ratio of given geometric sequence.

We can find common ratio of geometric sequence by dividing any number by its previous number in the sequence.

\text{Common ratio of geometric sequence}=\frac{a_2}{a_1}

Let us use two consecutive numbers of our sequence in above formula.

a_2 will be 12 and a_1 will be 18 for our given sequence.

\text{Common ratio of geometric sequence}=\frac{12}{18}

Dividing our numerator and denominator by 6 we will get,

\text{Common ratio of geometric sequence}=\frac{2}{3}

Let us use numbers 8 and 16/3 in above formula.

\text{Common ratio of geometric sequence}=\frac{\frac{16}{3}}{8}

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6 0
3 years ago
What is the total surface area of the square pyramid?
pochemuha

Answer:

48

Step-by-step explanation:

The square pyramid has exactly the same four triangles.

In order to find the whole surface area, we must find the area of one of the triangles and multiply them by 4.

Surface area of square pyramid = \frac{bh}{2} * 4

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Step-by-step explanation:

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3 years ago
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sineoko [7]

Answer:

96

lower right

Step-by-step explanation:

Part 1

Givens

a1 = - 20

d = +4

n = 30

Equation

a30 = a1 + (n - 1)d

Solution

a30 = -20 + (30 - 1)*4

a30 = -20 + 29*4

a30 = - 20 + 116

a30 = 96

=====================

Part 2

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Sum = (a1 + L)*n/2

n = 30

So only the two on the right can be considered

a1 = -20

L = 96

Sum = (-20 + 96)30/2 is the bottom right. D if you think of it that way.

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