Answer: A = 2000(1.05)^5
Step-by-step explanation:
We would apply the formula for determining compound interest which is expressed as
A = P(1 + r/n)^nt
Where
A = total amount in the account at the end of t years
r represents the interest rate.
n represents the periodic interval at which it was compounded.
P represents the principal or initial amount deposited
From the information given,
P = $2000
r = 5% = 5/100 = 0.05
n = 1 because it was compounded once in a year.
t = 5 years
Therefore, the equation that shows how much money will be in the account after five years is
A = 2000(1 + 0.05/1)^1 × 5
A = 2000(1.05)^5
Answer:
1 - 3 (1 quarter is 25 and a dime is 10, so, 3.)
4 - 10
6 - 15
14 - 33
Step-by-step explanation:
Using the Central Limit Theorem, it is found that:
- The standard deviation is
.
<h3>Central Limit Theorem</h3>
- It states that for a <u>proportion p in a sample of size n</u>, the sampling distribution of sample proportions has mean
and standard deviation 
- When two variables are subtracted, the mean is the subtraction of the means, while the standard deviation is the square root of the sum of the variances.
In 2006, 95% of new cars in the US came with a spare tire, with a sample of 250, hence:
In 2017, 72% of new cars in the US came with a spare tire, with a sample of 250, hence:
Hence, for the distribution of differences:
To learn more about the Central Limit Theorem, you can take a look at brainly.com/question/16695444
Answer:
base(b)=10 and height(h)=6
Step-by-step explanation:
From the question,
base(b)=x feet
height(h)=(x-4) feet
Area(A)=30 square feet
Now,
We know,
Area of triangle(A)=1/2*b*h
or, 30=1/2*x*(x - 4)
or, 30=1/2*x^2 -4x
or, 30*2=x^2 -4x
or, 60=x^2 -4x
or, 0 = x^2 -4x -60
or, 0 = x^2 +6x - 10x -60
or, 0 = x(x + 6) -10(x + 6)
or, 0 = (x+6) (x-10)
Either,
x+6=0. or, x-10=0
or,x= -6. or, x= 10
Since, the base of the triangle can not be negative number then, x≠ -6feet but x=10feet
Lastly,
Height(h)=X - 4
=10 - 4
=6 feet
