Answer:
$2500 at 8%.
$2900 st 5%.
Step-by-step explanation:
Let x be the amount invested at rate of 8% and y be the amount invested at the rate of 5%.
We have been given that Heather has divided $5400 between two investments. We can represent this information as:
The return on her investment is $345.
Earnings from the investment at 8% will be 8% of x.
Earnings from the investment at 5% will be 5% of y.
We will use substitution method to solve our system of equations. From equation (1) we will get,
Substituting this value in equation (2) we will get,
Therefore, Heather has invested an amount of $2900 at 5%.
Let us substitute y=2900 in equation (1) to solve for x.
Therefore, Heather has invested an amount of $2500 at 8%.
Answer: b. 3
Step-by-step explanation:
We know that , the indicator variable is a dummy variable in regression analysis which is used to denote either presence ( by 1 ) or absence ( by 0 ) of a nominal variable that can be responsible for the change in output.
Number of indicator variables = (all levels in the original variable)-1
Here , the given categories as per the location are northeast, northwest, southeast, or southwest.
i.e. all levels in the original variable = 4
Then, the umber of indicator variables we need = 4-1 =3
Hence, we need 3 indicator variables.
Thus , the correct answer is b. 3.
That is 6x^2
Both x and 6x^2 will divide into 6x^2
To write fractions as decimals divide the numerator by the denominator, for example 3/4 3 divided by 4 equals 0.75 so 3/4 as a decimal is 0.75. If you want to do that with a mixed number, 3 3/4 3 divided by 4 equals 0.75 then add the 3 so 3 3/4 is equal to 3.75.
Answer:
√
96
log
(100
)
3
^5
/ 3
Step-by-step explanation:
