A savings account earns simple interest at a rate of 6% per year. Last year the account earned $10.86 in interest. What was the balance in the account at the beginning of last year?
Answers
Answer:
The balance in the account at the beginning of last year was $181.
Step-by-step explanation:
Consider the provided information.
A savings account earns simple interest at a rate of 6% per year.
6% can be written as: 6/100=0.06
Last year the account earned $10.86 in interest.
Let the amount invested is represented by x.
Hence, the balance in the account at the beginning of last year was $181.
In this case, you have to find out the number whose 6% is 10.86.
So, Let the number be x.
x * 6/100 = 10.86
x * 6 = 1086
x = 181.
So, the account balance at the beginning of last year was $181.
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Answers
Answer:
a) P ( T < 250 mins ) = 0.7695
b) P ( T > 260 mins ) = 0.1344
Step-by-step explanation:
- The RV from a sample has the following parameters that are mean = 5 mins, and standard deviation s = 4 mins.
- The entire population has n = 46 students.
- We will first compute the population mean u and population standard deviation σ as follows:
u = n*mean
u = 46*5 = 230 mins
σ = sqt ( n ) * s
σ = sqt ( 46 ) * 4
σ = 27.129 mins
- Approximating that the time taken T to grade the population of entire class follows a normal distribution with parameters u and σ as follows:
T~ N ( 230 , 27.129 )
Find:
- If grading times are independent and the instructor begins grading at 6:50 P.M. and grades continuously, what is the (approximate) probability that he is through grading before the 11:00 P.M. TV news begins?
- The total time till 6:50 PM to 11:00 PM is ( 4 hr and 10 mins ) = 250 mins.
- We will compute the Z-value as follows:
Z = ( 250 - 230 ) / 27.129
Z = 0.7372
- Then use the Z-Tables and determine the probability:
P ( T < 250 mins ) = P ( Z < 0.7372 )
P ( T < 250 mins ) = 0.7695
Find:
- If the sports report begins at 11:10, what is the probability that he misses part of the report if he waits until grading is done before turning on the TV?
- For the teacher to miss the sports report he must take more time than 6:50 PM to 11:10 P.M.
- The total time till 6:50 PM to 11:10 PM is ( 4 hr and 20 mins ) = 260 mins.
- We will compute the Z-value as follows:
Z = ( 260 - 230 ) / 27.129
Z = 1.10582
- Then use the Z-Tables and determine the probability:
P ( T > 260 mins ) = P ( Z > 1.10582 )
P ( T > 260 mins ) = 0.1344
Answers
3/5 = x/100
5*20 = 100
3*20 = 60
Which inequality describes the number of books?
b < 4,000
b > 4,000
b ≤ 4,000
b ≥ 4,000
Answers
Answer: The correct option is (A) b < 4000.
Step-by-step explanation: Given that the public library has fewer than 4,000 books.
We are to select the inequality that describes the number of books in the library.
The number of books in the library is represented by b.
According to the given information, the inequality hat describes the number of books in the library is given by
Thus, (A) is the correct option.
Answers
1) He could take the 1/2 cup twice which equals 1, and then he could measure 6 of 1/8 cups which would be 6/8 or 3/4.
2) Way number two could be if he took the 1/2 four times, which would give him 2, and then he could remove 2 1/8 cups out of the 2 which would give him 1 3/4.