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S_A_V [24]
3 years ago
11

Melanie invested $5,500 in an account paying an interest rate of 6.9% compounded continuously. Assuming no deposits or withdrawa

ls are made, how much money, to the nearest dollar, would be in the account after 11 years?
Mathematics
1 answer:
Phantasy [73]3 years ago
7 0

Answer:

A=\$11,748.76

Step-by-step explanation:

we know that

The formula to calculate continuously compounded interest is equal to

A=P(e)^{rt}  

where  

A is the Final Investment Value  

P is the Principal amount of money to be invested  

r is the rate of interest in decimal  

t is Number of Time Periods  

e is the mathematical constant number

we have  

t=11\ years\\ P=\$5,500\\ r=6.9\%=6.9/100=0.069  

substitute in the formula above

A=5,500(e)^{0.069*11}  

A=5,500(e)^{0.759}  

A=\$11,748.76

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Evan is making a table that will be created in the shape of the figure below. The table top is a triangle attached to a rectangl
Yakvenalex [24]
Given:
Triangle:
height = 6ft
base = 4ft

Rectangle:
length = x
Width = 6 ft

Surface Area = 150ft²

Area of a Triangle = h*b / 2 = (6ft * 4ft) / 2 = 12ft²

Area of a rectangle = Surface Area - Area of a Triangle
A = 150 ft² - 12 ft² = 138 ft²

138 ft² = x * 6ft
138 ft² / 6 ft = x
23 ft = x.
6 0
2 years ago
What is the interquartile range of the data set ​
Verizon [17]

There are many methods of doing this. This one finds the median; however, instead of halving, you can use quarters instead.

First order the data, ascendingly:

10, 17, 18, 18, 18, 20, 20, 25, 25, 30, 30

Find the median:

For an even number of values: The number of values / 2

For an odd number of values: The number of values + 1 / 2

11 is odd.

11 + 1 / 2

12 / 2 = 6

The median is at the 6th position.

10, 17, 18, 18, 18, 20, 20, 25, 25, 30, 30

The median is 20.

<em>Other method:</em>

<em>You don't need this step.</em>

Using the values lower than the median, exclusive, find the median of the lower values;

For an odd number of values: <u>The number of values + 1 / 2</u>

10, 17, 18, 18, 18

5 + 1 / 2 = 6 / 2 = 3

The median of the lower values is at position 3.

This is the lower quartile.

10, 17, 18, 18, 18

<em>Other method:</em>

<em>For an odd number of values: </em><u><em>The number of values + 1 / 4</em></u>

<em>11 + 1 / 4 = 12 / 4 = 3</em>

<em>10, 17, </em><em>18,</em><em> 18, 18, 20, 20, 25, 25, 30, 30</em>

<em />

Using the values greater than the median, exclusive, find the median:

For an odd number of values: <u>The number of values + 1 / 2</u>

20, 25, 25, 30, 30

5 + 1 / 2 = 6 / 2 = 3

The median of the upper values is at position 3.

20, 25, 25, 30, 30

This is 25.

This is the upper quartile.

<em>Other method:</em>

<em>For an odd number of values: </em><u><em>(The number of values + 1 / 4) * 3</em></u>

<em>(11 + 1 / 4) * 3 = (12 / 4)  * 3 = 3 * 3 = 9</em>

<em>10, 17, 18</em><em>,</em><em> 18, 18, 20, 20, 25, </em><em>25</em><em>, 30, 30</em>

Your interquartile range is 3 - 25

25 - 3 = 21

<h2>21</h2>
8 0
2 years ago
I WILL GIVE YOU BRAINLY PLSS <br><br><br> Worth 19 points
Pavel [41]

Answer:

942

Step-by-step explanation :

so your d is 300 so your r = 300/2= 150  

a=3.14*r*r= 3.14*150*150= 70650

c= 3.14*d= 3.14*300= 942

_________________________________________________

OR

The curved surface area of solid cylinder is  

 

As we are given that:

Diameter of solid cylinder = 8 cm

Length or Height o solid cylinder = 140 cm

Formula used to calculate the curved surface area of cylinder is:2n x h

Curved surface area of cylinder =2r x h  

where,

r = radius of cylinder

h = height or length of cylinder

Radius of cylinder =  daimeter

Now putting all the given values in above formula, we get:

Curved surface area of cylinder =  2x 22/7 x 140cm

Curved surface area of cylinder = 3520cm^{2}

Therefore, the curved surface area of solid cylinder is3520cm^{2}

8 0
3 years ago
Read 2 more answers
A car moving at a constant speed passed a timing device at t=0. After 9 ​seconds, the car has traveled 837 ft. Write a linear fu
diamong [38]

Answer:

at t=0 the car has moved 0 feet, also you know it has a constant speed so you get the points:

P1:(0,0) therefore you know b, the y-intercept=0

P2:(8,840)

insert P2 into y=mx+b

840=8m+0

840/8=m

105=m

so the result is:

y=105x=105t=f(t)=d

Step-by-step explanation:

7 0
2 years ago
The opening soccer game at the new arena was attended by approximately 2,800 Caucasians, 4,800 African Americans, and 15,00 Hisp
worty [1.4K]

<u>Answer:</u>

The ratio of African Americans to Hispanics Americans present is 16 : 5  

<u>Explanation:</u>

Given the people attending the soccer game were:

2800 among them are Caucasians

4800 are African Americans

1500 are Hispanics

And, 1400 of those were from other ethnic backgrounds

We have to find the Ratio of African Americans to Hispanics Americans

Therefore,

African Americans : Hispanics Americans = 4800 : 1500

\frac{\text { African American }}{\text { Hispanics American }}=\frac{4800}{1500}=\frac{48}{15}=\frac{16}{5}

Hence, the ratio of African Americans to Hispanics Americans present in the ratio were 16 : 5  

5 0
3 years ago
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