An initial amount of 800$ is invested in compound saving accounts with an annual rate 4.5%. What is the balance in 5years
1 answer:
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Answer:
The number of baseball card to begin with is 143
Step-by-step explanation:
Let The number of baseball cards = x
The number of sold baseball card = 60% of x
= 0.6 x
The number of left baseball card = x - 0.6 x = 0.4 x
The number of card gave away = 30 % of left cards
= 0.3 × 0.4 x = 0.12 x
The number of card left in his possession = 40
So, 0.6 x + 0.12 x + 40 = x
Or, 40 = x - 0.6 x - 0.12 x
Or, 40 = 0.28 x
∴ x = = 142.85 ≈ 143
Hence The number of baseball card to begin with is 143 Answer
Answer:
The sum of the arithmetic sequence is .
Step-by-step explanation:
A sequence is a set of numbers that are in order.
In an arithmetic sequence the difference between one term and the next is a constant. In other words, we just add the same value each time infinitely.
If the first term of an arithmetic sequence is and the common difference is d, then the nth term of the sequence is given by:
For the sequence
The pattern is continued by adding -11 to the last number each time.
An arithmetic series is the sum of an arithmetic sequence. We find the sum by adding the first, and last term,
, divide by 2 in order to get the mean of the two values and then multiply by the number of values, <em>n</em>
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The sum of the arithmetic sequence is
Answer:
The number of girls participated in quiz is 40 .
Step-by-step explanation:
Given as :
Total number of students took quiz = 100
Average score of 100 students = 76 points
The Average score of boys = 80 points
The Average score of girls = 70 points
Let The number of boys participated in quiz = b
Let The number of girls participate in quiz = g
Now, According to question'
Total number of students took quiz = number of boys participated in quiz + number of girls participated in quiz
Or, b + g = 100 ........A
<u>Again</u>
∵ Average score of 100 students = 76 points
∴ Total score of 100 students = 76 × 100 = 7600
So, Average score of boys × number of boys participated + Average score of girls × number of girls participated = Total score of 100 students
Or, b × 80 + g × 70 = 7600
Or, 80 b + 70 g = 7600 .........B
Now, Solving equation A and B
(80 b + 70 g ) - 70 ×( b + g ) = 7600 - 70 × 100
I.e (80 b - 70 b) + (70 g - 70 g) = 7600 - 7000
Or, 10 b + 0 = 600
∴ b =
i.e b = 60
So, The number of boys participated in quiz = b = 60
Put the value of b into eq A
∵ b + g = 100
So, g = 100 - b
Or, g = 100 - 60
i.e g = 40
So, The number of girls participated in quiz = g = 40
Hence, The number of girls participated in quiz is 40 . Answer