Answer:
$6,322.11
Step-by-step explanation:
The future value of a lump sum (S) invested today at an interest rate 'r' for a period of 'n' years, if interest is compounded annually is:
![FV = S*(1+r)^n](https://tex.z-dn.net/?f=FV%20%3D%20S%2A%281%2Br%29%5En)
In order to obtain $11,200 after 6 years, the required investment at a 10% rate per year is:
![11,200 = S*(1+0.10)^6\\S=\$6,322.11](https://tex.z-dn.net/?f=11%2C200%20%3D%20S%2A%281%2B0.10%29%5E6%5C%5CS%3D%5C%246%2C322.11)
You need to deposit $6,322.11 today in order to reach your goal in 6 years.
Answer:
27850
Step-by-step explanation:
9/100 = x/30.95
9 x 30.95 = 278.5
278.5 x 100
Each time the previous number is multiplied by 2
Complete question is;
Henrique began to solve a system of linear equations using the linear combination method. his work is shown below
1. 3 (4x-7y=28) -> 12x-21y=84
-2 (6x-5y=31) -> -12x 10y =62
2. 12x - 21y = 84
-12x + 10y = -62
-----------------------
-11y = 22
3. y= -2
complete the steps used to solve a system of linear equations by substituting the value of y into one of the original equation s to find the value of x. what is the solution to the system
Answer:
x = 3.5
Step-by-step explanation:
We are given;
1. 3(4x - 7y = 28) -> 12x - 21y = 84
-2(6x - 5y = 31) -> -12x + 10y = 62
2. 12x - 21y = 84
-12x + 10y = -62
-----------------------
-11y = 22
3. y= -2
Since y = - 2, let's put -2 for y into the equation; 12x - 21y = 84
This gives;
12x - 21(-2) = 84
This gives;
12x + 42 = 84
12x = 84 - 42
12x = 42
x = 42/12
x = 3.5
9*(1/x)=33*(1/99)
9/x=1/3
x=27
the number is 27