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m_a_m_a [10]
3 years ago
10

Classify the model as Exponential GROWTH or DECAY. A=10(1.01)^3

Mathematics
1 answer:
Masteriza [31]3 years ago
5 0

Answer:

GROWTH

Step-by-step explanation:

Given the Exponential function;

A=10*1.01^{3}

As we can see in the given function above:

the base number is 1.01 which is greater than 1 hence the quantity increases,

slowly at first and then very rapidly over its domain. The rate of growth becomes faster as time passes.

The growth "rate" (r) is determined as b = 1 + r.

In this situation, the rate growth is = 1.01 -1  = 0.01

Hope it will find you well.

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If x represents a number, then write an expression for a number that is eight less than twice the value of x.​
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2x-8

Step-by-step explanation:

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4 years ago
What’s the equation of a line that has a slope of -2/3 and a y intercept of -5
Makovka662 [10]
Y = mx + b     slope(m) = -2/3    y-intercept(b) = -5

just simply put where these belong to find your equation.

y = -2/3x - 5

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5 0
4 years ago
In the expansion (ax+by)^7, the coefficients of the first two terms are 128 and -224, respectively. Find the values of a and b
madam [21]

Answer:

a = 2, b = 3.5

Step-by-step explanation:

Expanding (ax+by)^7 using Binomial expansion, we have that:

(ax+by)^7 =

(ax)^7(by)^0 + (ax)^6(by)^1 + (ax)^5(by)^2 + (ax)^4(by)^3 + (ax)^3(by)^4 + (ax)^2(by)^5 + (ax)^1(by)^6 + (ax)^0(by)^7

= (a)^7(x)^7+ (a)^6(x)^6(b)(y) + (a)^5(x)^5(b)^2(y)^2 + (a)^4(x)^4(b)^3(y)^3 + (a)^3(x)^3(b)^4(y)^4 + (a)^2(x)^2(b)^5(y)^5 + (a)(x)(b)^6(y)^6 + (b)^7(y)^7\\\\\\= (a)^7(x)^7+ (a)^6(b)(x)^6(y) + (a)^5(b)^2(x)^5(y)^2 + (a)^4(b)^3(x)^4(y)^3 + (a)^3(b)^4(x)^3(y)^4 + (a)^2(b)^5(x)^2(y)^5 + (a)(b)^6(x)(y)^6 + (b)^7(y)^7

We have that the coefficients of the first two terms are 128 and -224.

For the first term:

=> a^7 = 128

=> a = \sqrt[7]{128}\\ \\\\a = 2

For the second term:

a^6b = -224

b = \frac{-224}{a^6}

b = \frac{-224}{2^6} \\\\\\b = \frac{-224}{64} \\\\\\b = 3.5

Therefore, a = 2, b = 3.5

5 0
3 years ago
F(x) = -6x + 4<br> f (x) = 28
Eva8 [605]

Answer:

x = - 4

Step-by-step explanation:

Given f(x) = - 6x + 4 and f(x) = 28, then equating

- 6x + 4 = 28 ( subtract 4 from both sides )

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x = - 4

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3 years ago
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