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zysi [14]
3 years ago
6

A house appreciates (grows in value) about 6% each year. If the house is now worth 158,000, in about how many years will it be w

orth 200,000? Use the equation 200,000= 158,000(1.06)^x to solve this problem. Round to the nearest year
Mathematics
1 answer:
expeople1 [14]3 years ago
8 0
200,000 = 158,000(1.06)^x
Divide both sides by 158,000
1.2658 = 1.06^x
Take the log of both sides and use the power rule to bring down the exponent (x) to the front.
log 1.2658 = x log 1.06
Divide both sides by log 1.06
log (1.2658)/log(1.06) = x
x = 4 years

CHECK
y = 158,000(1.06)^4
y = 199,471.36
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4 0
3 years ago
The average speed of greyhound dogs is about 18.4 meters per second. A particular greyhound breeder claims that her dogs are fas
irinina [24]

Answer:

The calculated value    Z = 1.183 < 1.96 at 0.05 level of significance

Null hypothesis is accepted

A particular greyhound breeder claims that her dogs are faster than the average greyhound

Step-by-step explanation:

<u><em>Step(i):-</em></u>

Given the average speed of greyhound dogs is about 18.4 meters per second.

Size of the sample 'n' = 35

mean of the sample x⁻ = 18.7

Population standard deviation = 1.5m/s

level of significance (∝)  = 0.05

<u><em>Step(ii):-</em></u>

Null hypothesis : H₀ : μ = 18.4

Alternative  hypothesis H₁ :  μ ≠ 18.4

Test statistic

              Z  = \frac{x^{-} - mean}{\frac{S.D}{\sqrt{n} } }

             Z  = \frac{18.7-18.4}{\frac{1.5}{\sqrt{35} } }

            Z = 1.183

<u><em>Conclusion:</em></u>-

The calculated value    Z = 1.183 < 1.96 at 0.05 level of significance

Null hypothesis is accepted

A particular greyhound breeder claims that her dogs are faster than the average greyhound

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3 years ago
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Step-by-step explanation:

If PQ || to BC

Then by BASIC PROPORTIONALITY THEOREM:

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Answer:

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Step-by-step explanation:

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3 years ago
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Answer: try it yourself

Step-by-step explanation:

7 0
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