What single decimal multiplier would you use to increase by 4% followed by a 3% increase

Mathematics

1 answer:

Nikolay [14]3 years ago

3 0

Answer:

The single decimal multiplier will be 1.0712

Step-by-step explanation:

Let the number is x.

So, increasing the number by 4% will give the number $x(1 + \frac{4}{100}) = 1.03x$

Now, if the number 1.03x is again increased by 3%, then it will become $1.04x(1 + \frac{3}{100}) = 1.0712x$ .

Therefore, the single decimal multiplier that I will use to increase by 4% followed by a 3% increase is 1.0712. (Answer)

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What is a peregrine falcon's maximum speed while diving to catch prey,

Sergeu [11.5K]

This is an incomplete question, here is a complete question.

What is a peregrine falcon's maximum speed while diving to catch prey 200 miles per hour in feet per second? (Round your answer to the nearest whole number. (1 mile = 5280 feet)

Answer : The speed in feet per second is, 293 feet/s

Step-by-step explanation :

As we are given that the speed of peregrine falcon's is 200 miles per hour. Now we have to determine the speed in feet per second.

As we know that:

1 mile = 5280 feet

1 hour = 3600 second

So,

1 mile/hr = 1.4667 feet/s

As, 1 mile/hr = 1.4667 feet/s

So, 200 mile/hr = $\frac{200\text{ mile/hr}}{1\text{ mile/hr}}\times 1.4667\text{ feet/s}$

= 293.34 feet/s ≈ 293 feet/s

Therefore, the speed in feet per second is, 293 feet/s

5 0

4 years ago

What are the transformations to this quadratic function y= (x+4) power of 2 - 8

I am Lyosha [343]

Answer:

Horizontal shift of 4 units to the left.

Vertical translation of 8 units downward.

Step-by-step explanation:

Given the quadratic function, y = (x + 4)² - 8, which represents the horizontal and vertical translations of the parent graph, y = x²:

The vertex form of the quadratic function is y = a(x - h)² + k

Where:

The vertex is (h , k), which is either the minimum (upward facing graph) or maximum (downward-facing graph).

The axis of symmetry occurs at x = h.

a = determines whether the graph opens up or down, and makes the graph wider or narrower.

h = determines how far left or right the parent function is translated.

k = determines how far up or down the parent function is translated.

Going back to your quadratic function,

y = (x + 4)² - 8

The vertex occrs at (-4, -8)
a is assumed to have a value of 1.
Given the value of h = -4, then it means that the graph shifted horizontally by 4 units to the left.
Since k = -8, then it implies that the graph translated vertically at 8 units downward.