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2 years ago

Determine the domain and range in the function, f(x)=abx f(x)=ab^x , when a =1/4 and b=16.

Mathematics

1 answer:

Crank2 years ago

4 0

The domain is infinite and the range is 0 (possibly infinite as well).

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An investor invested a total of $2500 in two mutual funds. One fund earned a 5% profit while the other earned a 3% profit. If th

7nadin3 [17]

Answer:

$500 and $2000

Step-by-step explanation:

Let x represent the total investment = $2500

also, this total is split into two different funds

Lets represent these funds as a and b, such that fund a yields a profit of 3% and fund b yield a profit of 5%

So,

a + b = x

a + b = 2500 ......eq 1

Profit from each fund gives;

0.03 a + 0.05b = 115 ....eq 2

Solve simultaneously using substitution method

From eq 1;

b = 2500 - a

Slot in this value in eq 2

0.03a + 0.05 (2500 - a) = 115

expand

0.03a + 125 - 0.05a = 115

collect like terms

0.03a - 0.05a = 115 - 125

-0.02a = -10

Divide both sides by -0.02

a = $500

Put this value of a in eq 1

500 + b = 2500

Subtract 500 from both sides

b = 2500 - 500

b = $2000

3 0

2 years ago

What is the surface area of a cube with a side length of 5 yards?

Y_Kistochka [10]

Answer:

B 125. its basically 5 cubed

Step-by-step explanation:

5 times 5 times 5

8 0

2 years ago

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Which series of transformations will not change the coordinates of point N in triangle LMN?

Serga [27]

Answer:

what does that mean

Step-by-step explanation:

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2 years ago

Which graph shows a rate of change of 1/2 which is a fraction between –4 and 0 on the x-axis?

irakobra [83]

By definition, we have that the average rate of change is given by:

$AVR = \frac{y2-y1}{x2-x1}$

Substituting values we have:

$AVR = \frac{3-1}{0-(-4)}$

Rewriting we have:

$AVR = \frac{2}{0+4}$

$AVR = \frac{2}{4}$

$AVR = \frac{1}{2}$

Therefore, the graph that has an AVR of 1/2 is the graph of the linear function.

Answer:

graph shows a rate of change of 1/2 is the linear function

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2 years ago

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What is the written form of the number 62?

mr Goodwill [35]

A. Sixty-two is the written form of the number 62. It is hyphenated.

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2 years ago