Answer:
1081
Step-by-step explanation:
Answer:
a + b = 5.30
a + b = 7
No
Step-by-step explanation:
Expressing the information as system of linear equation :
Let apples = a, oranges = b
If $5.30 is charged for one apple and one orange, then we have ;
a + b = 5.30 - - - (1)
If $14 is charged for 2 apples and 2 oranges, then we have ;
2a + 2b = 14 - - - - (2)
a + b = 7
Since both equations gives varying combined cost for equal amount of the fruit, then a unique cost cannot be obtained for each fruit from the systems of equation using simultaneous equation process.
From (1)
a = 5.30 - b
Put a = 5.30 - b in (2)
2(5.30 - b) + 2b = 14
10.6 - 2b + 2b = 14
10.6 = 14 - - - - - (variables cancels out).
Answer:
D. The sequence diverges by oscillation.
Step-by-step explanation:
an = (-1.00000004)n
From root test
L = Lim n->infinity (|an|)(1/n)
==> L = Lim n->infinity (|-1.00000004n|)(1/n)
==> L = Lim n->infinity (|-1.00000004|n)(1/n)
==> L = Lim n->infinity |-1.00000004|
==> L = 1.00000004 > 1
Hence series diverges.
At the end of 28 years, there will be 22,083.2 dollars in the account.
Step-by-step explanation:
Step 1; First we must calculate how much interest there is in total over 28 years. The annual interest rate is 8.25% i.e. 8.25% of 6,700 dollars which equals 552.75 dollars. As the years' pass, more and more will be put into the account due to interest. After 28 years, there will be an interest of 229.6% (8.25% per year * 28 years)of the initial amount.
Step 2; We must find the money due to interest and add it with the money that was put in initially. The interest amount is 2.296 times the 6,700 dollars which was put in. The interest equals 15,383.2 dollars. With this, the initial 6,700 dollars is added which comes to a total of 22,083.2 dollars
Matt could do 2 boxes of 908. 1,816 divided by 2 is 908.
