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JulijaS [17]
3 years ago
11

$1000 in a savings account where his money is compounded continuously at 6%. How long will it take him to have $1200 in his bank

account? Round to the nearest tenth of a year.
A) 1.3 years
B) 3.0 years
C) 9.1 years
D) 17.1 years

Mathematics
1 answer:
Alex_Xolod [135]3 years ago
7 0
Years = Natural Logarithm(Total / Principal) / rate
Years = ln (1,200 / 1,000) / .06
Years = ln (6 / 5) / .06
Years = ln (1.2) / .06
Years = 0.18232155679 / .06
Years = <span> <span> <span> 3.0386926132 </span> </span> </span>
Years = <span> <span> <span> 3.0 (rounded)

</span></span></span>answer is B


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Alekssandra [29.7K]

put the equation 2x - y = 16 in the form of y = mx + c

2x - y = 16

2x = 16 + y

y = 2x - 16

the slope of this line is 2. the slope of a line perpendicular to it would be the negative reciprocal of 2. in other words, it would multiply with 2 to give -1.

you can form this equation with that info

2x = -1

x = -1/2

OR

you can flip and change the sign (numerator) of 2/1

2/1

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6 0
3 years ago
What is the volume of a cylinder that is 15-m tall and has a radius of 3 m. Use 3.14 for π, and round your answer to the nearest
Agata [3.3K]

Answer:

D. 424 m³

Step-by-step explanation:

Use the formula for the volume of a cylinder

V = \pir²h

Plug in the values we know

V = (3.14)(3²)(15)

V = 423.9 m³

This is closest to answer choice D, 424 m³

So, D is correct

7 0
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Round 36.319 to the nearest tenth
vampirchik [111]
36.3 because the digit in the hundredths place is not 5 or greater
3 0
2 years ago
Read 2 more answers
2. The prices of several different cereals are given below. Find the mean, median, mode, MAD, and IQR of these values. Which mea
Maru [420]

Mean = $ 4. 72

Median = $ 4. 5

Mode = No mode

MAD = $ 4. 8

IQR = $ 0. 5

Measure of center = $ 4. 5

Measure of variability = $ 2. 50

<h3>How to determine the values</h3>

Given the data;

$3.50, $4.25, $6, $4.75, $5.80, $4

Mean = sum of data/ number of data values

Mean = \frac{3. 50 + 4. 25 + 6 + 4. 75 + 5. 80 + 4}{6}

Mean = $ 4. 72

Median is the number in the center when the data is arranged in an ascending order

$3. 50, $4, $4. 25, $4. 75, $5. 80, $6

Median = \frac{4. 25 + 4. 75}{2}

Median = $ 4. 5

Mode is the number with the highest repeats.

From the given data, none of the numbers was repeated.

Thus, there is no mode.

MAD, mean absolute deviation = |data value - mean|

MAD = |(3. 50 - 4. 72) + (4. 25 - 4. 72) + (6 - 4. 72) + (4. 75 - 4. 72) + (5. 80 - 4.72) + (4- 4. 72) |

MAD = 1. 22 + 0. 47 + 1. 28 + 0. 03 + 1. 08 + 0. 72

MAD = $ 4. 8

IQR, interquartile range = Quartile 3 - quartile 1

IQR = 4. 75 - 4. 25

IQR = $0. 5

Note that  the mean and median are the most common measures of center.

A measure of variability is a single number that is  used to describe the spread of a data set

The measure of the center best for the data is the median = $4. 5

Measure of variability = range = highest value - lowest value = $6 - $3. 50 = $2. 50

Learn more about mean here:

brainly.com/question/20118982

#SPJ1

5 0
2 years ago
If​ A, B, and C are the measures of the angles of any triangle and if​ a, b, and c are the lengths of the sides opposite the cor
MrRa [10]

Answer:

C. (1/2)acsinA

Step-by-step explanation:

Given is that, A, B, and C are the measures of the angles of a triangle and a, b, and c are the lengths of the sides opposite the corresponding​ angles.

So, the expression that does not represent the area of the​ triangle is :

C. (1/2)acsinA

7 0
3 years ago
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