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OverLord2011
19 days ago
5

Doug purchased land for $8,000 in 1995. The year value of the land depreciated by 4% each year thereafter. Use an exponential fu

nction to find the approximate value of the land in 2002.
Mathematics
1 answer:
Leona [9.2K]19 days ago
4 0

Answer:

Choice C. $6,012

Step-by-step explanation:

We know that

The formula to find the depreciated value is given by

V=P(1-r)^{t}

where

V stands for the depreciated value

P represents the original value

r corresponds to the depreciation rate in decimal

t refers to the Number of Time Periods

In this scenario, we have

t = 7 years

P = $8,000

r = 0.04

Plug these into the formula mentioned earlier

V = 8,000(1-0.04)^{7} = 6,012

Hope this assists you:)

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Use the table to find the residual points. A 4-column table with 5 rows. The first column is labeled x with entries 1, 2, 3, 4,
Leona [9271]

Answer:

What is the variation for each successive input?

✔ 1

What is the variation for each successive output?

✔ 0.35

What is the rate of variation for the correlation?

✔ 0.35

Step-by-step explanation:

The change per input is 1 since the inputs are 10,11,12,13.

The change for each successive output is 0.35 because we must subtract 4.1 from 3.75.

Thus, the rate of variation for the correlation is likewise 0.35.

8 0
23 days ago
A random sample of 65 high school seniors was selected from all high school seniors at a certain high school. The following scat
babunello [8412]

Step-by-step explanation:

The equation for the best fitting line is y = 2.599x + 105.08. When x is set to 20, the predicted height becomes y = 157.06. However, the actual height recorded is 160 cm, therefore, the residual is calculated as:

160 cm − 157.06 cm = 2.94 cm

3 0
1 month ago
A distance AB is observed repeatedly using the same equipment and procedures, and the results, in meters, are listed below:69.40
Zina [9171]

Answer:

The most likely length of the line is 69.4012 meters.

The calculated standard deviation amounts to 0.0032 meters.

Step-by-step explanation:

In the problem, the following values are provided:

69.401, 69.400, 69.402, 69.396, 69.406, 69.401, 69.396, 69.401, 69.405, 69.404      

Formula:

\text{Standard Deviation} = \sqrt{\displaystyle\frac{\sum (x_i -\bar{x})^2}{n}}  

where x_i represent data points, \bar{x} is the average, and n indicates the count of observations.  

Mean = \displaystyle\frac{\text{Sum of all observations}}{\text{Total number of observation}}

Mean =\displaystyle\frac{694.012}{10} = 69.4012

The most likely length of the line is 69.4012 meters.

Sum of squares of differences = 0.0001016

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The calculated standard deviation amounts to 0.0032 meters.

3 0
3 days ago
GI bisects with angle DGH so that m angle DGI is x - 3 and m angle IGH is 2x-13. What is x?
Inessa [9000]
X - 3 = 2x - 13
+x +x

-3 = 3x - 13
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3.3 = x

7 0
16 days ago
Read 2 more answers
In 2010, Rafik bought a house. In 2015, Rafik sold the house to Bianca. He made a 20% profit on the sale. In 2019, Bianca sold t
zzz [9080]

Answer:

£170,000

Step-by-step explanation:

En 2010, Rafik adquirió una casa. Supongamos que el precio de compra fue $x. En 2015, Rafik vendió la casa a Bianca obteniendo un 20% de ganancia. Esto se traduce en 20% de x lo que equivale a 0.2 × x = 0.2x. Por tanto, Rafik vendió la casa a Bianca por x + 0.2x = 1.2x. Bianca compró la casa a 1.2x.

La casa fue vendida por Bianca en 2019 con una pérdida del 5%. Esto implica que el 5% de pérdida equivale a 0.05(1.2x) = 0.06x.

Por consiguiente, la venta de la casa por Bianca se realizó a 1.2x - 0.06x = 1.14x. Dado que la casa se vendió por £193,800.

⇒ 1.14x = 193,800

x = 193,800/1.14

x = £170,000

Rafik pagó £170,000 por la casa en 2010.

7 0
1 month ago
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