A geometric sequence has a term of a, = -54 and a common ratio of r = 3. What is the rule for the nth term?
1 answer:
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Let the amount invested at 4% be = x
Let the amount invested at 3% be = y
Given is:
or
.... (1)
As, total income for the two investments is $194, so equation is:
....(2)
Putting value of x from (1) in (2)
And x=5200-y
Hence, money invested at 4% is $3800 and money invested at 3% is $1400
Answer:
Step-by-step explanation:
Given : The total number of cards in a deck = 52
Number of red cards = 26
There are two types of red cards : diamond and heart.
Number of diamond cards = 13
The probability that the first card is a diamond :-
Since diamond is also a red card.
Now, the total cards left = 51
The number of red cards left = 12
The probability that the second card is a red card (without repetition) is given by :-
Now, the probability of choosing a red card for the second card drawn, if the first card, drawn without replacement, was a diamond :-
Answer:
Rate of change = -0.2
Step-by-step explanation:
Given:
(-3, 3.6) and (5, 2)
Required:
Rate of change
Solution:
Formula for rate of change = change in y/change in x =
Let,
(-3, 3.6) = (x_1, y_1)
(5, 2) = (x_2, y_2)
Plug in the values into the equation:
Rate of change =
Rate of change = = -0.2