Round to the nearest hundredth (2 decimal places) when necessary

Mathematics

1 answer:

natita [175]2 years ago

5 0

Answer:

If it's area, then:

area = 148.2 yd²

Step-by-step explanation:

area = 19 x 7.8 = 148.2 yd²

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The assets (in billions of dollars) for a financial firm can be approximated by the function A(x)=318e^0.27x, where x=7 correspo

Mashutka [201]

The value of the asset in 2012, 2014, and 2017 are 8119.72, 13933.55 and, 31321.23, respectively. A function assigns the values.

<h3>What is a Function?</h3>

A function assigns the value of each element of one set to the other specific element of another set.

Given the assets (in billions of dollars) for a financial firm can be approximated by the function $A(x)=318e^{0.27x}$ , where x=7 corresponds to the year 2007. Therefore, the assets value in the following years will be,

A.) 2012 - $A(12)=318e^{0.27\times 12} = 8,119.72$

B.) 2014 - $A(14)=318e^{0.27\times 14} = 13,933.5$

C.) 2012 - $A(17)=318e^{0.27\times 17} = 31,321.23$

Hence, the value of the asset in 2012, 2014, and 2017 are 8119.72, 13933.55 and, 31321.23, respectively.

Learn more about Function:

brainly.com/question/5245372

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6 0

2 years ago

Can someone help me with number 4,5 and 6?

True [87]

4) You know slope-intercept form is y=mx+b. So using these two given points, you can find the slope!

(-8,5) (-3,10) [Use the y1-y2 over x1-x2 formula to solve for slope]

10 - 5 5
--------- = ----- = 1
-3-(-8) 5

Hurray! You got a slope of one. Now substitute this back into your original equation:
y=mx+b --> y=1x+b

Next, we find what our "b" is, or what our y-intercept is:
Using one of the previous points given, substitute them into the new equation:
[I used the point (-3, 10) ]

y=1x+b
10=1(-3)+b SUBSTITUTE
10=-3+b MULTIPLY
10=-3+b
+3 +3 ADD
----------
13=b SIMPLIFY

So, now we have our y-intercept. Use this and plug it into the equation:
y=1x+b --> y=1x+13

y=1x+13 is our final answer.

5) So for perpendicular lines, your slope will be the opposite reciprocal of the original slope. (Ex: Slope is 2, but perpendicular slope is -1/2)

We have the equation y= 3x-1, so find the reciprocal slope!
--> y=-1/3x-1

Good! Now we take our given point, (9, -4) and plug it into the new equation:

y=-1/3x-1
-4=-1/3(9)+b SUBSTITUTE and revert "-1" to "b", for we are trying to find the y- -4=-3+b intercept of our perpendicular equation.
+3 +3 ADD
--------
-1=b SIMPLIFY

So, our final answer is y=-1/3x+(-1)

6) I don't know, sorry! :(

4 0

3 years ago

18 bikes, 9 have gears (G), 11 have suspension (S) and 5 with both,What is the probability that a bike with suspension or gears?

vichka [17]

Answer:

Step-by-step explanation: