Answer:
v = 1/(1+i)
PV(T) = x(v + v^2 + ... + v^n) = x(1 - v^n)/i = 493
PV(G) = 3x[v + v^2 + ... + v^(2n)] = 3x[1 - v^(2n)]/i = 2748
PV(G)/PV(T) = 2748/493
{3x[1 - v^(2n)]/i}/{x(1 - v^n)/i} = 2748/493
3[1-v^(2n)]/(1-v^n) = 2748/493
Since v^(2n) = (v^n)^2 then 1 - v^(2n) = (1 - v^n)(1 + v^n)
3(1 + v^n) = 2748/493
1 + v^n = 2748/1479
v^n = 1269/1479 ~ 0.858
Step-by-step explanation:
To start this problem, what we need to do is try to simplify the fraction into one we might know already. The best way to go about doing this is to see if we can divide the top and bottom by any of the same numbers.
We can divide 9 by 1, 3, and 9
We can divide 12 by 1, 3, 4, and 12
Looking back over the numbers, we can see that both 9 and 12 are divisible by 3, so if we divide both of them by 3, we will get a new fraction! This fraction will be 3/4.
Our next step is to see if we know what 3/4 is. I know 1/4 is .25 because the coin called a quarter is 25 cents, so if I had 3 quarters, I would have 75 cents, so I know know that 9/12 = 3/4 = .75!
use desmos graphing calculator
Answer:
6.743*10^7
Step-by-step explanation:
Given data
The number is 67, 430,000
Let us count from the left the right
counting, we have 7 places to the right before the last digit 6
Hence the number of places is 7
The scientific notation is
=6.743*10^7
Answer:
Correct option: C
Step-by-step explanation:
To solve the equation m*5 - 8 = -6, we can use the following steps:
step1: sum 8 in both sides, to make m*5 be the only term in the left side.
m*5 = 2
step2: divide both sides by 5, then we will have 'm' isolated in the left side.
m = 2/5
So the operations we could use is: add 8 to each side and then divide each side by 5.
Correct option: C
