Ask question

Ask question

All categories

Alexeev081 [22]

3 years ago

12

stephanie invests $3,991 in a retirement account with a fixed annual interest rate of 6% compound continuously. What will the ac

count balance be after 13 years?

1 answer:

wolverine [178]3 years ago

3 0

Answer:

7103.98

Step-by-step explanation:

1) 3991 × 6% = 239.46 intrest rate of a year

2) 239.46 × 13 = 3112.98 intrest rate of 6% for 13yrs

3) 3991 + 3112.98 = 7103.98 Stephanie account balance after 13 yrs

You might be interested in

IQ scores are normally distributed with a mean of 100 and a standard deviation of 15.

jekas [21]

Using the normal distribution, it is found that 1851 people would have an IQ less than 115.

<h3>Normal Probability Distribution</h3>

The z-score of a measure X of a normally distributed variable with mean $\mu$ and standard deviation $\sigma$ is given by:

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

The z-score measures how many standard deviations the measure is above or below the mean.

Looking at the z-score table, the p-value associated with this z-score is found, which is the percentile of X.

The mean and the standard deviation are given, respectively, by:

$\mu = 100, \sigma = 15$

The proportion of IQ scores less than 115 is the <u>p-value of Z when X = 115</u>, hence:

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

$Z = \frac{115 - 100}{15}$

Z = 1

Z = 1 has a p-value of 0.8413.

Out of 2200 people:

0.8413 x 2200 = 1851.

More can be learned about the normal distribution at brainly.com/question/27643290

#SPJ1

5 0

1 year ago

Joel earns 1500 per month. if he spends 375 on rent each month what percent of his income does he has

Harman [31]

He still has 75% of his income left because 1500/375=4 so he spent 1/4 of his check and has 3/4 left.

8 0

3 years ago

Read 2 more answers

The cost of a flight is related to the distance traveled:

Digiron [165]

The linear regression equation that models the cost of a flight in function of the distance traveled is given as follows:

C(m) = 0.08316m + 31.36331

<h3>How to find the equation of linear regression using a calculator?</h3>

To find the equation, we need to insert the points (x,y) in the calculator.

For this problem, the points (x,y) are given as follows:

(225, 50.3), (1100, 111), (1375, 143), (1675, 187), (1950, 214), (2250, 196).

Hence, inserting these points in the calculator, the linear regression equation that models the cost of a flight in function of the distance traveled is given as follows:

C(m) = 0.08316m + 31.36331

More can be learned about linear regression equations at brainly.com/question/16793283

#SPJ1

4 0

2 years ago

What is 5x^2+11x+2 factored

Alina [70]

Answer:

(x+2) (5x)

Step-by-step explanation:

the way I factor is the products of a*c added together equals b. so the products if (5*2) 10 equals 11. so 10 and 1 are the 2 products that add into 11. Now we put that into the equation. 5x^2+10x+1x+2 now take the two haves until you can't factor them any more 5x(x+2) (x+2). now take the repeated factor and outside factors to get (5x) and (x+2)

4 0

3 years ago

(a) for what values of k does the function y = cos(kt) satisfy the differential equation 16y'' = −81y?

sesenic [268]

Try this offered solution.Answer: 3/2

3 0

3 years ago