For this case, the first thing we are going to do is rewrite the function.
We have then:
h (x) = 505.5 + 8 * exp (-0.9 * x)
We evaluate the value of x = 5 in the function.
We have then:
h (5) = 505.5 + 8 * exp (-0.9 * 5)
h (5) = 505.588872
round to the nearest tenth:
h (5) = 505.6
Answer:
the value of h (5) is:
h (5) = 505.6
Answer:
B) .35
Step-by-step explanation:
The Central Limit Theorem estabilishes that, for a normally distributed random variable X, with mean
and standard deviation
, the sampling distribution of the sample means with size n can be approximated to a normal distribution with mean
and standard deviation
.
For a skewed variable, the Central Limit Theorem can also be applied, as long as n is at least 30.
In this problem:

Then



So the correct answer is:
B) .35
Answer:
the right answer is 2 < s< 18
Step-by-step explanation:
The Third side of the triangle must be greater than the difference of the other two sides which is 10 -8= 2 and smaller than the sum of the other two sides of the triangle which is 10+8= 18.
so third side should be greater than 2 and less than 18.
So right answer is 2 < s< 18
Answer:
Step-by-step explanation:
As shown in the figure attached Jaxon is 10 blocks east and 5 blocks north.
So x-coordinates of Jaxon will be 10 units and y-coordinates will be 5 units.
and coordinates will be (10,5)
Similarly coordinates of Isaac will be defined by his distance towards west and distance towards south.
So x-coordinates will be 8 units and y-coordinates will be 15 units.
Therefore, coordinates of Isaac will be (-8,-15).
Answer:
a. $60
Step-by-step explanation:
We will use simple interest formula to solve our given problem.
, where
A= Amount after t years.
P= Principal amount.
r= Interest rate in decimal form.
t= Time in years.
Let us find amount of loans repayable after 12 months for taking two amounts of $2000 and $1000.
As $2000 and $1000 are less than 2500, so the rate of loan will be 10%.

12 months = 1 year.




Now let us find amount repayable after 12 months for borrowing $1000.




Adding these amounts we will get total repayable amount after 12 months for borrowing $2000 and $1000 separately.

Now let us find repayable amount after 12 months for taking 1 loan. As $3000 is between $2501 and $7500, so rate of loan will be 8%.





Now let us find difference between both repayable loan amounts.


Therefore, the customer should have saved $60, if he had taken out one loan for $3000 and option a is the correct choice.