Solve the problem.

Mathematics

1 answer:

SCORPION-xisa [38]3 years ago

6 0

Answer:

$2907.89

General Formulas and Concepts:

Symbols

e (Euler's number) ≈ 2.71828

Pre-Algebra

Order of Operations: BPEMDAS

Brackets
Parenthesis
Exponents
Multiplication
Division
Addition
Subtraction

Left to Right

Algebra i

Compounded Continuously Formula: $\displaystyle A = Pe^{rt}$

P is principle amount
r is rate
t is time

Step-by-step explanation:

Step 1: Define

Identify variables

P = 930

t = 19

r = 6% = 0.06

Step 2: Find Interest

Substitute in variables [Compounded Continuously Formula]: $\displaystyle A = 930e^{19 \cdot 0.06}$
[Exponents] Multiply: $\displaystyle A = 930e^{1.14}$
Evaluate exponents: $\displaystyle A = 930(3.12677)$
Multiply: $\displaystyle A = 2907.89$

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Lemur [1.5K]

Answer:

4.65% probability that a randomly selected customer takes more than 10 minutes

Step-by-step explanation:

Problems of normally distributed samples are solved using the z-score formula.

In a set with mean $\mu$ and standard deviation $\sigma$ , the zscore of a measure X is given by:

$Z = \frac{X - \mu}{\sigma}$

The Z-score measures how many standard deviations the measure is from the mean. After finding the Z-score, we look at the z-score table and find the p-value associated with this z-score. This p-value is the probability that the value of the measure is smaller than X, that is, the percentile of X. Subtracting 1 by the pvalue, we get the probability that the value of the measure is greater than X.

In this question, we have that:

$\mu = 7.45, \sigma = 1.52$