Answer: $5,828.28
<u>Step-by-step explanation:</u>
Use the Compound Interest formula: 
where
- A is the accrued amount (balance)
- P is the principal (initial amount invested)
- r is the interest rate (in decimal form)
- n is the number of times compounded each year
- t is the time of the investment (in years)
Given: P = 4,900
r = 3.5% (0.035)
n = 2
t = 5
Median is 6 so your answer is C
Answer:
x + y = 180
and,
x = 3y
Step-by-step explanation:
Data provided in the question:
Total area of the farm = 180 acre
x represents the acre in which corn is planted
y represents the acre in which wheat is planted
Thus,
Area of corn + Area of wheat = Total area of farm
x + y = 180 ................. (1)
also,
From the statement, farmer wants to plant three times as many acres of corn as wheat
we can conclude
Area of corn = 3 times the area of wheat
or
x = 3y ................(2)
So, we have system of linear equations that represent the situation as
x + y = 180
and,
x = 3y
Answer:
g(p)h(p) = = p^4 + 2p^3 - 8p^2 -2p + 4
Step-by-step explanation:
Hello!
We will use the distributive property:
g(p) h(p) = ( p - 2 ) * ( p^3 + 4p^2 - 2 ) = ( p^3 + 4p^2 - 2 ) * ( p - 2 )
The distributive property allow us to multiply the first term <em>(p^3 + 4p^2 - 2) </em>by every member of the second member, that is <em>p </em>and <em>-2.</em>
g(p) h(p) = ( p^3 + 4p^2 - 2 ) * p + ( p^3 + 4p^2 - 2 ) * (-2)
Now we can do the same for the two resulting terms, that is, we can multiply every term in parenthesis<em> ( p^3 + 4p^2 - 2 ) </em>by the term on the rigth:
( p^3 + 4p^2 - 2 ) * p = (p^3)*p + (4p^2)*p - 2*p = p^4 + 4p^3 -2p
( p^3 + 4p^2 - 2 ) * (-2) = (p^3)*(-2) + (4p^2)*(-2)- 2*(-2) = -2p^3 - 8p^2 + 4
And now we can sum both terms and add monomials with the same exponent of t. Look at the underlined terms
g(p) h(p) = p^4 + <em><u>4p^3</u></em><em> </em>-2p - <u>2p^3 </u>- 8p^2 + 4 = p^4 +<em><u>2p^3</u></em> -2p - 8p^2 + 4
= p^4 + 2p^3 - 8p^2 -2p + 4
Answer:
Completely Randomized Design
Step-by-step explanation:
In a completely randomized design, the samples are randomly assigned to the treatment without creating any blocks or groups.
Like here, in the given scenario, we do not have to divide subjects in two groups as they are all same.
Whereas, in a randomized block design, the participants are divided into subgroups in a way, that the variability within the blocks is less than the variability between blocks.
After dividing, the participants within each block are randomly assigned to treatment conditions.
Hence, the completely randomized design is used here.
