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Anna [14]
3 years ago
14

Suppose f is an exponential function and:

Mathematics
1 answer:
Nastasia [14]3 years ago
8 0

Answer:  a) b= p(1 + r)^1 b) c= p(1 + r)^n c) d= p(1 + r)^m d) b^n=c

Step-by-step explanation:

Since f is an exponential function.

So, it is expressed as

f = p(1 + r)^

Here f is the present value

p is the initial value

r is the rate of growth per time period

t is the time period.

(a) b represents the 1-unit growth factor for f.

b= p(1 + r)^1

(b) c represents the n n-unit growth factor for f.

c= p(1 + r)^n

(c) d represents the m m-unit growth factor for f.

d= p(1 + r)^m

Write a formula that expresses c in terms of b.

Since

b=p(1+r)^1\\\\So,\\\\b=p(1+r)^{n\times \frac{1}{n}}\\\\b=(p(1+r)^n)^{\frac{1}{n}}\\\\b=c^{\frac{1}{n}}\\\\b^n=c

Hence, a) b= p(1 + r)^1 b) c= p(1 + r)^n c) d= p(1 + r)^m d) b^n=c

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At a football stadium, 5% of the fans in attendance were teenagers. If there were 10 teenagers at the football stadium, what was
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Answer:

200 people were at the stadium

Step-by-step explanation:

Let us represent the total number of people at the stadium = x

At a football stadium, 5% of the fans in attendance were teenagers. If there were 10 teenagers at the football stadium

Hence:

5% of total number of people = 10 teenagers

5/100 × x = 10

5x/100 = 10

Cross Multiply

5x = 100 × 10

5x = 1000

Divide both sides by 5

5x/5 = 1000/5

x = 200

The total number of people in the stadium is 200

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2 horses ran from the same place from the at same time one horse ran at 2 miles per second and the other ran at a speed for 18 m
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Answer:

no horse can run 18 miles per second or even 2 miles per second.

Step-by-step explanation:

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Find the area of a circle circumscribing an equilateral triangle of side 15cm.<br> Take pi = 3.14.
miskamm [114]

Answer:

236 cm²

Step-by-step explanation:

Height of an equilateral triangle (h) = √3 /2 (l)

l = side of the equilateral triangle.

h = √3 /2 (15)

In an equilateral triangle the orthocenter, centroid, circumcenter and incenter are in the same spot

The center of the circle is the centroid and height match  with the median. The radius of the circumcircle is equal to two thirds the height.

Formula for the Radius of the circumcircle = 2/3 h

= 2/3 x √3 /2 (15)

= 5 √3 cm     (=radius)

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3 years ago
7x- 3(x- 6) = 30<br> A. X=3<br> B.x=9<br> C.x=6<br> D.x=12
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Answer:

x=3

Step-by-step explanation:

1. Simplify the expression

7x-\left(3\cdot\left(x-6\right)\right)=30

Solve by distributing:

7x-\left(3x+3\cdot-6\right)=30

Simplify the arithmetic:

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Expand the parentheses:

7x-3x+18=30

Simplify the arithmetic:

4x+18=30

3 0
2 years ago
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