Answer:
A=25000 is the future value. P the value that we need to invest. r= 0.04 represent the interest rate in fraction. n = 12 represent the number of times that the rate is compounded in a year. t = 5 years.
If we solve for the value of P we got:
And replacing we got:
And rounded to the nesrest penny we need to invest $20475.08 in order to have after 5 years $25000
Step-by-step explanation:
For this case we can use the future value with compound interest given by:
Where:
A=25000 is the future value. P the value that we need to invest. r= 0.04 represent the interest rate in fraction. n = 12 represent the number of times that the rate is compounded in a year. t = 5 years.
If we solve for the value of P we got:
And replacing we got:
And rounded to the nesrest penny we need to invest $20475.08 in order to have after 5 years $25000
Answer:
M
Step-by-step explanation:
A quartic equation/function is a fourth degree polynomial. The general form is:
We can put any values for the variables a, b, c, d, and e.
The general shape of a fourth degree polynomial is in the shape of the English letter "W".
The leading coefficient is the value of "a".
If a is negative, the curve gets upside down, so a "W" going upside down would resemble an "M".
A graph of a quartic with negative leading coefficient is shown attached. The equation is:
1. 1 of 5 sectors is white; 1 of 3 sectors is A. P(white, A) = (1/5)*(1/3) = 1/15
3. 2 of 5 sectors are striped; 1 of 3 sectors is A. P(striped, A) = (2/5)*(1/3) = 2/15
5. 3 of 5 sectors are not striped; 1 of 3 sectors is A. P(not striped, A) = (3/5)*(1/3) = 1/5.
Answer:
7.2+x=19.5
x=19.5-7.2
x=12.2
Step-by-step explanation:
Answer:
AC=22
Step-by-step explanation:
If point B in somewhere along a segment between the points A and C, then it means that AB + BC = AC.
A---------------------------------C
A------------B-------------------C
AB + BC = AC
This means that we can write an equation:
4x-6(AB) + 4(BC) = 2x+10 (AC)
Which we can now solve for x:
(4x-6)+4=2x+10
Take out of brackets:
4x-6+4=2x+10
Combine like terms:
4x-2=2x+10
Move x terms to one side and other terms to the other:
4x-2x=10+2
Combine:
2x=12
Solve:
x=6
Now we can just substitute the x into the original AC equation to find its numerical length:
AC=2x+10
AC=2(6)+10
AC=12+10
AC=22
Hope this helped!
