Answer:
Concepts: Mathematical Understanding
- (a,b) is an ordered pair just like (x,y)
- Hence b= 6
Y = 18 x² + m x + 2
Exactly one x - intercept is for:
D = m² - 4 · 18 · 2 = 0
m² - 144 = 0
m² = 144
Answer:
m = -12 or m = 12
The time required to get a total amount of $1,000,000.00 with compounded interest on a principal of $5,000.00 at an interest rate of 10% per year and compounded 1 times per year is 55.59 years.
<h3>Given data</h3>
Principal = $5,000
Rate = 10%
Final Amount A= $1,000,000
Time = ?
First, convert R as a percent to r as a decimal
r = R/100
r = 10/100
r = 0.1 per year,
Then, solve the equation for t
t = ln(A/P) / n[ln(1 + r/n)]
t = ln(1,000,000.00/5,000.00) / ( 1 × [ln(1 + 0.1/1)] )
t = ln(1,000,000.00/5,000.00) / ( 1 × [ln(1 + 0.1)] )
t = 55.59 years
(about 55 years 7 months)
Learn more about compounding interest at:
brainly.com/question/1570054
Answer:
be my bestie
Step-by-step: The surface area is the number of square units that fit into the square. As shown in the picture, the surface area of this square is 16 total square units. With a rectangle and square we can also get the surface area by multiplying width (W) x length (L).tep explanation:
Answer:
99.7% of the sample proportions will fall between 0.133 and 0.307.
Step-by-step explanation:
The Empirical Rule states that, for a normally distributed random variable:
68% of the measures are within 1 standard deviation of the mean.
95% of the measures are within 2 standard deviation of the mean.
99.7% of the measures are within 3 standard deviations of the mean.
In this problem, we have that:
Mean = 0.22
Standard deviation = 0.029
99.7% of the sample proportions will fall within which of the following intervals?
Within 3 standard deviations of the mean.
Lower end: 0.22 - 3*0.029 = 0.133
Upper end: 0.22 + 3*0.029 = 0.307
99.7% of the sample proportions will fall between 0.133 and 0.307.
