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disa [49]
2 years ago
11

Sebastian invested $7,100 in an account paying an interest rate of 8 1 4 \% compounded monthly. Eva invested $7,100 in an accoun

t paying an interest rate of 8 1 2 \% compounded continuously After 5 years, how much more money would Eva have in her account than Sebastian, to the nearest dollar?
Mathematics
2 answers:
Alexxx [7]2 years ago
7 0

Answer:

Given:

Sebastian :

Principal(invested)= $7,100

Rate of interest=  8.14% compounded monthly

Eva:

Principal(invested)= $7,100

Rate of interest= 8.12% compounded continuously

Step-by-step explanation:

After 5 years,

In Sebastian case:

Amount= Principal*(1+R/100)^{t}

Amount = 7100*(1+8.14/100)^{12*5}

Amount= 7100*1.0814^{60}

Amount=7100*109.4415

Amount= $777,034.43

In Eva case,

Amount= Principal*e^{Rt/100}

Amount = 7100*e^{0.0812*12*5\\}

Amount= 7100*130.5818

Amount= $927,130.92

Difference between their money=$927,130.92-777034.43

                                                 =$150,096.49

Eva has $150,096 more money than Sebastian.

nata0808 [166]2 years ago
3 0

Answer:

80

Step-by-step explanation:

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PLEASE help !!! I’m struggling and I suck at math. Can someone answer this for me? For points and brainly !
Helen [10]

Answer:

\huge\boxed{2329 \ \text{pounds}}

Step-by-step explanation:

In order to solve this equation, let's see what we already know.

  • We know two points on the graph <em>which we can use to find the slope</em>

That's about it.

However, this can come useful to find the slope between the two points, which is the slope for the entire graph (since this is linear). The slope between two points is usually defined as \frac{\Delta y}{\Delta x} (change in y / change in x). Our two points are (18, 2017) and (48, 2212).

The change in y between our two points is 2212-2017 = 195, and the change in x is 48 - 18 = 30. Our slope will then be \frac{195}{30}, which comes out to be approximately 6.5. Therefore, our slope is 6.5.

Now that we know the slope, we can substitute inside our equation in slope intercept form.

y = 6.5x+b

We have yet to find b, the y-intercept (how much the plane itself weighs). To find b, we can substitute a point on the graph into the equation and solve for b. We know that the point (18, 2017) is on the graph so let's use that.

  • 2017 = 6.5 \cdot18 + b
  • 2017 = 117 + b
  • 1900= b

Now that we know our y-intercept is 1900, we can create our equation by using the slope and the y-intercept.

y=6.5x+1900

Finally, to find the weight of the plane with 66 pounds of fuel, we can substitute 66 inside this equation as x.

  • y = 6.5 \cdot66+ 1900
  • y = 429+1900
  • y=2329

So the plane weighed 2329 pounds with 66 gallons of fuel.

Hope this helped!

7 0
2 years ago
Read 2 more answers
Ed has 28 blocks. Sue has 34 blocks who has more blocks? How many more?
Anna007 [38]

Answer:

Sue // 6 More blocks

Step-by-step explanation:

Sue has more blocks because 34>28.

34-28 is 6 so sue has 6 more.

3 0
2 years ago
Read 2 more answers
Use the raw data below to create a table that can be used to create a histogram with 5
schepotkina [342]

Answer:

Five classes

Step-by-step explanation:

1. Sort the data

You get

1.1, 1.3, 1.6, 1.7, 2, 2.6, 2.7, 2.9, 3.2, 3.2, 3.5, 3.5, 3.9, 4.6, 4.7, 4.8, 4.8, 4.9, 4.9, 5.3, 5.7, 6.4, 6.5, 7.1, 7.5, 7.6, 8.1, 8.2, 9.2, 9.4

2. Calculate the range

Range = Max - Min = 9.4 - 1.1 = 8.3

3. Calculate the class width

Divide the range by the number of classes

8.3/5 = 1.7

Round this up to 2.

4. Decide where to start the histogram

You could use classes: 1 - 3, 3 - 5, 5 - 7, 7 - 9, 9 -11

However, even numbers are easier to read.

It would be preferable to use classes: 0 - 2, 2 - 4, 4 - 6, 6 - 8, 8 - 10

5. Prepare a frequency distribution table

Note: Each class does not include its largest possible value. Thus, a value of 2 goes into Class 2 - 4, (not Class 0 - 2).

\begin{array}{cc}\textbf{Miles run} & \textbf{No. of students} \\0 - 2 & 4 \\2 - 4 & 9 \\4 - 6 & 8 \\6 - 8 & 5 \\8 - 10 & 4 \\\end{array}

4 0
3 years ago
6 times a number ,x, is at least 22
allochka39001 [22]
The answer is most likely 4 because 6 times 4 is 24 at that is atlas 22.

5 0
2 years ago
The area of a sheet of paper is approximately
ElenaW [278]

Answer:

1/2²m²

Step-by-step explanation:

7 0
3 years ago
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