Answer:
Step-by-step explanation:
A)Initial amount deposited into the account is $6500 This means that the principal is P, so
P = 500
It was compounded daily. This means that it was compounded 360 times in a year. So
n = 360
The rate at which the principal was compounded is 3%. So
r = 3/100 = 0.03
It was compounded for 5 years. So
t = 5
The formula for compound interest is
A = P(1+r/n)^nt
A = total amount in the account at the end of t years. Therefore
A = 6500 (1+0.03/360)^360×5
A = 6500 (1+0.00008333333)^360×5
A = 6500 (1.00008333333)^1800
A = $7551.70
B) The interest earned is Total amount earned - principal. It becomes
7551.7 - 6500 = $1051.7
At a z-score of 1.80, the percentage of the scores that are better than yours is equal to 3.59%.
<h3>What is a z-score?</h3>
In Mathematics, a z-score is sometimes referred to as a z-value or standard score and it can be defined as a measure of the distance between a raw score and the mean, when standard deviation units are used.
<h3>How to determine the percentage?</h3>
Mathematically, the z-score of a given sample score in a normal distribution can be calculated by using this formula:
Z-score = (x - μ)/σ
Where:
- x represents the sample score.
- σ represents the standard deviation.
- μ represents the mean score.
Since a score of 85 on a test corresponds to a z-score of 1.80, the percentage of the scores that are better than yours is given by:
P(x > 85) = P(z > 1.80)
P(z > 1.80) = 0.0359
P(z > 1.80) = 3.59%.
Read more on z-scores here: brainly.com/question/26714379
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Answer:
8 and 9.
Step-by-step explanation:
Let the two unknown numbers be a and b.
When added together, they equal 17. In other words:
a + b = 17.
The <em>difference</em> between five times the first number and three times the second number is 13. In other words:
5a - 3b = 13.
We have a system of equations. We can use substitution. From the first equation, we can derive a = 17 - b. Let's substitute this in:
5(17 - b) - 3b = 13
85 - 5b - 3b = 13
-8b = -72
b = 9
a = 17 - b.
a = 17 - 9 = 8.
Thus, the two numbers are 8 and 9.
Answer:
Ammegurung
Step-by-step explanation:
this is my id
The larger number is: 36
The smaller number is: 24
Firstly, if a number is 12 more than the other, that means that the difference between the two numbers is 12
If you divide 60 by 2, you get two 30's. Then, if you add 6 to one of the 30's and then subtract 6 to the other 30, resulting in 36 and 24, you get set of numbers which equal 60 and also have a difference of 12.
