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nlexa [21]
3 years ago
12

When Sarah invests $4,000 in a money market account she receives 1.4% simple interest annually. If she doesn't add or subtract a

ny money how much interest will she earn after 4 years?
Mathematics
2 answers:
OlgaM077 [116]3 years ago
6 0

Answer:

$224

Step-by-step explanation:

We have been Sarah invests $4,000 in a money market account she receives 1.4% simple interest annually. We are asked to find the amount of interest Sarah will get after 4 years.

We will use simple interest formula to solve our given problem.

I=Prt, where,

I = Amount of interest after t years,

P = Principal amount,

r = Annual interest rate in decimal form,

t = Time in years.

First of all, we will convert our given interest rate in decimal form:

1.4\%=\frac{1.4}{100}=0.014

Upon substituting our given values in simple interest formula, we will get:

I=\$4,000\cdot 0.014\cdot 4

I=\$224

Therefore, Sarah will get an amount of $224 in interest after 4 years.

jekas [21]3 years ago
4 0

Let's use the formula for simple interest: i = p*r*t, where p is the principal amount, r is the interest rate as a decimal fraction, and t is the number of years.


Filling in the given info: i = $4000*0.014*4 = $224.


She will have accumulated $224 in interest over those 4 years.


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3 years ago
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A real estate company would like to see if the average sale price of townhouses in a particular school district has changed in t
Dennis_Churaev [7]

Answer:

Step-by-step explanation:

a) We would set up the hypothesis test.

For the null hypothesis,

H:0 µ = 280000

For the alternative hypothesis,

H1: µ ≠ 280000

This is a 2 tailed test

Since the population standard deviation is given, z score would be determined from the normal distribution table. The formula is

z = (x - µ)/(σ/√n)

Where

x = sample mean

µ = population mean

σ = population standard deviation

n = number of samples

From the information given,

µ = 280000

x = 294365

σ = 22898

n = 36

z = (294365 - 280000)/(22898/√36) = 3.76

b) Since α = 0.05, the critical value is determined from the normal distribution table.

For the left, α/2 = 0.05/2 = 0.025

The z score for an area to the left of 0.025 is - 1.96

For the right, α/2 = 1 - 0.025 = 0.975

The z score for an area to the right of 0.975 is 1.96

In order to reject the null hypothesis, the test statistic must be smaller than - 1.96 or greater than 1.96

Therefore, the rejection regions are area to the left of - 1.96 and to the right of 1.96 on the normal distribution curve.

The calculated test statistic is 3.76 for the right tail and - 3.76 for the left tail

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3 0
3 years ago
Somebody help me with these worksheets pls<br><br><br> (Please answer properly)
xenn [34]

This is an interesting problem.

But first, let us define what are the three possible cases :

A system of linear equations : a system of equation is when you have two equations with the same unknown variables, that you need to solve both together. Example : "x+y = - 7 AND x + y = - 4" are two equations that form a system of equation.

Plus they are linear, a linear equation is simply an equation of the form : y = ax + b where a and b are real numbers.

Here for example x + y = - 7 is a linear equation. Because y = 1 × x - 7

where a = 1 and b = - 7.

Consistent Dependent : A system of equation is consistent Dependant when it has an infinite number of solutions.

<h2><u><em>When this is the case, the graphs of the lines in the system are the same, meaning the equations in the system represent the same line. </em></u></h2><h2 />

Consistent Independent : A system of equation is consistent Dependant when it has exactly one solution.

<h2><em><u>When this is the case, the graphs of the lines in the system cross at exactly one point. </u></em></h2><h2 />

Inconsistent : A system of equation is Inconsistent if it haas no solutions.

<h2><em><u>When this is the case, the graphs of the lines in the system do not intersect, meaning they are parallel. </u></em></h2><h2 />

Now, with those definitions above, we can work on our problem :

1. x + y = - 7 and x + y = - 4

Look at the picture attached the lines are parallel to each other so here the answer is Inconsistent

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3. Parallel Lines : Inconsistent

4. Lines cross at exactly one point :Consistent Independent

5. Lines cross at exactly one point : Consistent Independent.

You can see the graph of each systems in the pictures attached below.

Good luck, you will succeed :)

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