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Damm [24]
3 years ago
5

Bob bought some land costing $15,540. Today, that same land is valued at $45,117. How long has Bob owned this land if the price

of land has been increasing at 5 percent per year
Mathematics
1 answer:
iren [92.7K]3 years ago
5 0

Answer:

21.84 years

Step-by-step explanation:

From the compound interest formula;

F = P(1+r)^t .......1

ln(F/P) = tln(1+r)

t = ln(F/P)/ln(1+r) .......2

Where;

F = Final value = $45,117

P = Initial value = $15,540

r = rate = 5% = 0.05

t = time

Substituting the values into equation 2;

t = ln(45117/15540)/ln(1.05)

t = 21.84542292124 years

t = 21.84 years

It will take Bob 21.84 years

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5, 4 7/8, 4 9/10 in order least to greatest
Klio2033 [76]

The order from least to greatest is 4 7/ 8, 4 9/ 10 , 5

<h3>What are fractions?</h3>

Fractions are simply representatives of part of a whole.

The types of fraction are;

  • Mixed fractions
  • Simple fractions
  • Improper fractions
  • Proper fractions

From the information given, we have to arrange in order from least to greatest

5, 4 7/8, 4 9/10

Turn mixed fractions to improper fractions;

5, 39/ 8 , 49/ 10

From least to greatest is written thus;

39/ 8, 49/ 10 , 5

Thus, the order from least to greatest is 4 7/ 8, 4 9/ 10 , 5

Learn more about fractions here:

brainly.com/question/11562149

#SPJ1

4 0
1 year ago
Find the mode and range of each data set:<br><br> C) 86.4,87.2,95.7,96.4,88.1,94.9,98.5,94.8
den301095 [7]
Mean: 92.75

Median: <span>94.85

Mode: </span>86.4, 87.2, 95.7, 96.4, 88.1, 94.9, 98.5, 94.8

8 0
3 years ago
Read 2 more answers
3,14 x (200 - 175)2 - 150 Round your answer off to the nearest whole .​
RideAnS [48]

Answer:

7

Step-by-step explanation:

I assume that 3,14 is 3.14

=3.14 x (200-175)2 - 150

=3.14 x (25)2 - 150

=3.14 x 50 - 150

=157-150

=7

7 0
2 years ago
A sign painter paints individual numerals for a row of 50 houses. The houses are numbered with consecutive integers from 1 to 50
Iteru [2.4K]
Answer: 5

List out the numbers from 1 to 50. Then go through that list and circle any numbers that have 9 in them. Those numbers are:
9, 19, 29, 39, 49
So there are 5 houses with 9s painted
3 0
3 years ago
Alice is baking a cake. She doesn’t intend to eat it, but tells you half of what you find is yours. She tells the same thing to
tankabanditka [31]

Answer: a) P = 0.5, b) P = 0.07

Step-by-step explanation:

Hi!

Lets call X₁ the time at which you arrive, and X₂ the time at which Bob arrives. Both are random variables with uniform density in the interval [0, 60] (in minutes). Their joint distribuition is uniform over the square in the image, with value P = 1/(60*60) = 1/3600.

a) For you to get more cake than Bob, you should arrive earlier. This event is A = { X₁ < X₂ }, the shaded triangle in the figure.The area of this event (set) is half the total area of the square, so P(A) = 0.5.

It makes sense, beacuse its equally probable for you or Bob to arrive earlier, as both have uniform density over the time interval.

b) In this case you arrive later than Bob, but less than 5 minutes later. So the event is B = { X₂ < X₁ < (X₂ + 5) } . This is the gray shaded area in b) part of the image. Its area is the difference two triangles (half square - blue triangle), then the probability is:

P(B) = 0.5 - \frac{(0.5*55^2)}{3600} =0.07

7 0
3 years ago
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