Answer:
35 ways
Step-by-step explanation:
Alex has 9 friends and wants to invite 5 friends. Since Alex requires two of his friends who are twins to come together to his birthday party, since the two of them form a group, the number of ways we can select the two of them to form a group of two is ²C₂ = 1 way.
Since we have removed two out of the nine friends, we are left with 7 friends. Also, two friends are already selected, so we are left with space for 3 friends. So, the number of ways we can select a group of 3 friends out of 7 is ⁷C₃ = 7 × 6 × 5/3! = 35 ways.
So, the total number ways we can select 5 friend out of 9 to party come to the birthday include two friends is ²C₂ × ⁷C₃ = 1 × 35 = 35 ways
Creo que es la 15 porque si fuera otra pues no lo sé sería 12/56 y ya luego 4/5
Answer:
f(3)= -9, g(2)=4
Step-by-step explanation:
F(3)= -2(3) -3
F(3)= -6 -3
F(3)= -9
G(2)= 2^2
G(2)= 2×2
G(2)= 4
Answer:
answer is 0
Step-by-step explanation:
Answer:
Approx 2.61 years.
Step-by-step explanation:
Given that you decide to put $5,000 in a savings account to save for a $6,000 down payment on a new car.
That means A=6000 and P=5000
If the account has an interest rate of 7% per year and is compounded monthly,
Then r=7%= 0.07 and n=12 (monthly)
Now we need to find about how long does it take until you have $6,000 without depositing any additional funds.
So let's plug these values into compound interest formula and fine time t
![\ln\left(1.2\right)=12t\ ln[tex]\frac{\ln\left(1.2\right)}{12\ln\left(1.00583333333333\right)}=t](https://tex.z-dn.net/?f=%5Cln%5Cleft%281.2%5Cright%29%3D12t%5C%20ln%5Btex%5D%5Cfrac%7B%5Cln%5Cleft%281.2%5Cright%29%7D%7B12%5Cln%5Cleft%281.00583333333333%5Cright%29%7D%3Dt)
\left(1.00583333333333\right)[/tex]
Hence answer is approx 2.61 years.
