To determine this, we will apply the simple interest formula:
where
signifies the total amount.
indicates the principal amount.
represents the interest rate in decimal.
denotes the time period in years.
Investment A. The initial investment amount is $10,000, so
. The investment period is 5 years, meaning
. To express the interest rate in decimal, divide it by 100%
Now, we can substitute these values into our formula to find
:
Investment B. 
,
, and
.
In conclusion,
investment A will yield a greater value than investment B at the investment period's conclusion.
Answer:
The anticipated number of tests required to identify 680 acceptable circuits is 907.
Step-by-step explanation:
For any circuit, there are two potential results: it either passes the test or it fails. The likelihood of passing is independent between circuits. Therefore, we apply the binomial probability distribution to address this scenario.
Binomial probability distribution
This distribution calculates the chance of obtaining exactly x successes across n trials, where x has only two possible outcomes.
To find the expected number of trials to achieve r successes with a probability p, the formula is given by:
Circuits from a specific factory pass a certain quality evaluation with a probability of 0.75.
Thus, to determine the expected number of tests needed for 680 acceptable circuits, let’s denote this as E where r = 680.
The expected number of tests necessary to find 680 acceptable circuits is 907.
First note the ratio is
7:2 so divide 7 by 2 to get 7/2 = 3.5. Then add 3.5 to 2, yielding the result 5.5
Answer:
Darnell reads 1,715 words in 7 minutes.
Step by step Explanation:
1. First, determine how many words he can read in a minute by dividing 735 words by 3. The result is 245.
245
______
3)735
6 drop the 3 to form 13
-_____
1 3
12 drop the 5 to make 15
-______
1 5
15
___________
0
2. Next, since he reads 735 words over 3 minutes, multiply that by 2 to find words read in 7 minutes: 3×2=6, thus, 735+735 (735×2) equals 1,470 words.
3. Finally, add 245 to account for the last minute we calculated. Therefore, the total is 1,715 words in 7 minutes.
