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Answer:
For the function V(t)=24300(1.37)t, the rate of increase is 37%.
Step-by-step explanation:
The function represents the value (V) of the car over time (t). This type of function is exponential growth, which means for each year, the value of the vintage car will increase by a rate of 37%. Exponential growth functions are represented by the equation f(x)=ab^x, where 'a'=initial value, 'b'=the rate and 'x' represents time. In this case, our initial value of the car is $24,300 and the rate is 1.37. A rate of 1.37 indicates that the car will retain its initial value (1) as well as increase be an additional 37 percent (.37) over time.
Answer:
The height of the dog house = 4 feet.
Step-by-step explanation:
Given:
The shape of the dog house is like a tent.
The slant heights of the house is 5 feet.
The bottom of the house is 6 feet across.
To find the height of the dog house at its tallest point.
Solution:
On drawing the figure of the dog house in the shape of a tent, we find out that the tallest point would be at the midpoint of the bottom of the house.
Thus, we ave a right triangle, of which one leg =
and hypotenuse = 
<em>Applying Pythagorean theorem to find the measure of the other leg which is the height of the house.</em>

Plugging in values.


Subtracting both sides by 9.


Taking square root both sides.


Thus, the height of the dog house = 4 feet.
Given two vectors

they are parallel if they are a multiple of each other:

You can easily test this by checking if

they are orthogonal if their dot product is null:

For example, in the first case, we have

So, they aren't parallel. Similarly, you have

So, they aren't orthogonal.
In the second case, we have

So, they aren't parallel, and

So, they are orthogonal.
Finally, we have

So, they are parallel (and thus can't be orthogonal)
A factor is one part of a product.
In the given expression first we separate the terms.
here we have two terms: 15 and 20x
factors of first term 15 : since just one number is there so factors of 15 would be 1, 3, 5 and 15
factors of second term 20x: product of 20 and x gives 20x, so factors of 20x are 1,2,4,5, 10,20 and x