Answer: $564
Step-by-step explanation:
You invested $500.
The annual rate is 2% and it is compounded quarterly.
You need the account balance after 6 years.
Convert the terms to their correct periodic figures.
Interest = 2%/4 = 0.5% per quarter
Period = 6 * 4 = 24 quarters
Formula for compound interest:
= Investment * ( 1 + rate) ^ time
= 500 * ( 1 + 0.5%)²⁴
= 563.579
= $564
Answer:
Proportion of women having blood pressures between 88.1 and 89.4 is 3.99% or close to 4%.
Step-by-step explanation:
We are given that a recent study reported that diastolic blood pressures of adult women in the United States are approximately normally distributed with mean 80.3 and standard deviation 8.6.
Let X = blood pressures of adult women in the United States
So, X ~ N(
)
The z score probability distribution is given by;
Z =
~ N(0,1)
where,
= population mean
= population standard deviation
So, Probability that women have blood pressures between 88.1 and 89.4 is given by = P(88.1 < X < 89.4) = P(X < 89.4) - P(X
88.1)
P(X < 89.4) = P(
<
) = P(Z < 1.05) = 0.85314
P(X
88.1) = P(
) = P(Z
0.89) = 0.81327
Therefore, P(88.1 < X < 89.4) = 0.85314 - 0.81327 = 0.0399 or approx 4%
Hence, proportion of women have blood pressures between 88.1 and 89.4 is 4%.
Required Perimeter = AB + BC + CA
AB = sqrt((5 - (-1))^2 + (-1 - 1)^2) = sqrt(6^2 + (-2)^2) = sqrt(36 + 4) = sqrt(40) = 6.3
BC = sqrt((-1 - 0)^2 + (1 - (-3))^2) = sqrt((-1)^2 + 4^2) = sqrt(1 + 16) = sqrt(17) = 4.1
CA = sqrt((0 - 5)^2 + (-3 - (-1))^2) = sqrt((-5)^2 + (-2)^2) = sqrt(25 + 4) = sqrt(29) = 5.4
Perimeter = 6.3 + 4.1 + 5.4 = 15.8 units
The answer is true, by definition, its true.