Which statement comparing 6² + 14 ÷ 2 and 100−82is true?

Suppose you invest 1600 at annual interest rate of 7.9% compounded cont how much will u have after 10yrs

frez [133]

Answer:

B. $3525.43

Step-by-step explanation:

We will use continuously compound interest formula to solve our problem.

$A=P*e^{rT}$

A= Amount after T years.

P= Principal amount.

r= Interest rate (in decimal form).

e= The mathematical constant e.

T= Time in years.

First of all we will convert our interest rate in decimal form.

$7.9\text{ Percent}=\frac{7.9}{100}=0.079$

Now let us substitute our given values in above formula.

$A=1600*e^{0.079*10}$

$A=1600*e^{0.79}$

$A=1600*2.2033964262559365$

$A=3525.4342820094984\approx 3525.43$

Therefore, we will get an amount of $3525.43 after 10 years and option B is the correct choice.

8 0

3 years ago

The lengths of nails produced in a factory are normally distributed with a mean of 4.84 centimeters and a standard deviation of

Helga [31]

Answer:

Top 3%: 4.934 cm

Bottom 3%: 4.746 cm

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 problem, we have that:

$\mu = 4.84, \sigma = 0.05$