9514 1404 393
Answer:
38
Step-by-step explanation:
The recursion relation describes an arithmetic sequence with a first term of 2 and a common difference of 4. The explicit formula for the n-th term of the sequence is ...
f(n) = f(1) +d(n -1) . . . . . for first term f(1) and difference d
f(n) = 2 +4(n -1) = 4n -2
Then the 10th term is ...
f(10) = 4(10) -2
f(10) = 38
0.7 is 7/10 in fraction form
It is also already in simplest form
7/10 is your answer
hope this helps
First you have to solve the multiplication:
102 + 6*7+8 = 102 + 42 + 8
At last you have to add all:
102 + 42 + 8 = 152
Answer:
Jenny´s age is 19 and her mother is 43.
Step-by-step explanation:
1. Plug in the first value of the set
41 is different from 62, so Jenny isn´t 12 years old.
2. Plug in the second value of the set
50 is different from 62, so Jenny isn´t 15 years old.
3. Plug in the third value of the set
59 is different from 62, so Jenny isn´t 18 years old.
4. Plug in the fourth value of the set
Therefore Jenny´s 19 years old.
5. Calculate Jenny´s mother age:
As the sum of their ages is 62 ages, we have the following equation
where
x=Jenny´s age
y=Jenny´s mother age
Therefore Jenny's mother age is 43 years old.
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<u>Answer:</u> The value of x can be either 5 or 10.
<u>Step-by-step explanation:</u>
We are given:
Total profit, P = $5600
The given equation follows:
⇒ P = 600 + 1500x - 100x²
Putting value of P in above equation, we get:
⇒ -100x² + 1500x + 600 = 5600
⇒ -100x² + 1500x - 5000 = 0
⇒ 100x² - 1500x + 5000 = 0
Solving this equation by middle term split, we get:
⇒ 100(x² - 15x + 50) = 0
⇒ (x² - 10x - 5x + 50) = 0
⇒ x(x - 10) - 5(x -10) = 0
⇒ (x - 10)(x - 5) = 0
⇒ x = 10, 5
Hence, the value of x can be either 5 or 10.
