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Musya8 [376]
4 years ago
7

In the year 1987, an investment was worth $29,800. In the year 1997, this

Mathematics
1 answer:
Veseljchak [2.6K]4 years ago
8 0

Answer:

a) 46.98%

b) increasing rate of change

Step-by-step explanation:

In year 1987, investment worth $29800

In year 1997, investment worth $43800

Rate of change = 1997investment - 1987investment / 1987investment × 100

Rate of change = 43800 - 29800/29800 × 100

= 14000/29800 × 100

= 0.46979 × 100

= 46.98%

Therefore, the rate of change of the investment during the time period is 46.98%.

b) The rate of change of the investment is increasing. This is as a result of the following reasons. First, the value of rate of change is positive. Second, there is no value for rate of change for period before the time period so we cannot compare rate of change.

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3 0
4 years ago
Identify two additional values for x and y in a direct variation relationship where y =11 when x=18
Ann [662]
In a direct variation relationship the values must satisfy that y = kx. This si y is always a constant value (k) times x.

So, you can find multiple values that meet this:

y = kx => k = y / x = 11 / 18

=> y = (11/18)x

Now you can give any value to x and fint the value of x that satisfy the relationship:

x           y = (11/18)x

1           11/18

2           11/18 * 2 = 11/9

18          11/18 * 18 = 11

36           11/18 * 36 = 22

So, there you have several additional values for x and y in the same relationship that y = 11 and x = 18, and you can find many more using the same rule: y = (11/18)*x
3 0
3 years ago
What is the period for the function y = -4 cos (5x +3)? (4.3)
BlackZzzverrR [31]

The periodicity of function is \frac{2 \pi}{5}

<em><u>Solution:</u></em>

Given that we have to find the period of function

<em><u>Given function is:</u></em>

y = -4 + cos(5x+3)

<em><u>Use the below formula:</u></em>

\mathrm{Periodicity\:of\:}a\cdot \cos \left(bx\:+\:c\right)\:+\:d=\frac{\mathrm{periodicity\:of}\:\cos \left(x\right)}{|b|}

Thus,

Peridocity\ of\ cos(5x + 3) - 4 = \frac{\text{periodicity of cos(x)}}{5}

Now find the periodicity of cos(x)

We know that,

periodicity of cos(x) = 2 \pi

Therefore,

Peridocity\ of\ cos(5x + 3) - 4 = \frac{2 \pi}{5}

Thus the periodicity of function is \frac{2 \pi}{5}

4 0
3 years ago
A rectangular prism is completely packed with 63 cubes of edge length fraction 1 over 3 inch, without any gap or overlap.
77julia77 [94]

Answer:

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Step-by-step explanation:

Perhaps you want to know the volume of the prism in cubic inches.

Find the total volume of the smaller cubes:

  63(1/3 in)^3 = 63/27 in^3 = 7/3 in^3 = 2 1/3 in^3

4 0
3 years ago
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