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anyanavicka [17]
3 years ago
5

A house has increased in value by 29% since it was purchased. If the current value is $516,000, what was the value when it was p

urchased?
Mathematics
2 answers:
Troyanec [42]3 years ago
4 0

X=value of the house before increase

(100%+29%)X=516,000

(129%)X=516,000

1.29x=516,000 | divided by 1.29 both sides

X=400,000$ was the value when it was purchased

kotegsom [21]3 years ago
3 0

Answer:

The value of house $ 400,000

Step-by-step explanation:

Let x be the price of house when it was purchased,

∵ 29% of x = \frac{29x}{100} = 0.29x

According to the question,

x + 29% of x = 516000

x + 0.29x = 516000

1.29x = 516000

\implies x=\frac{516000}{1.29}=400000

Hence, the value of the house is $ 400,000 when it was purchased.

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To the nearest millimeter,a cell phone is 132 mm and 69 mm wide. What is the ratio of the width to the length
ZanzabumX [31]

Answer:

23:44 or 1:1.91

Step-by-step explanation:

w:l =69:132     Divide each number by   3

     = 23:44     Divide each number by 23

     ≈   1:1.91

The width-to-length ratio is 23:44 or approximately 1:1.91

7 0
3 years ago
What is the interest earned on $3000 at a rate of 0.04 for three years? The formula is interest equals (principal) (rate) (time)
bekas [8.4K]

<u>Answer:</u>

The interest after 3 years is $360

<u>Explanation:</u>

Given the principal amount (P) = $3000

Rate of interest (R) = 0.04

Time period (T) is given as 3 years

The Simple Interest is calculated by the formula;

SI = Principal \times Rate of Interest \times Time

Substituting the values in the above formula,

SI = 3000 \times 0.04 \times 3

SI = $360

Therefore, the interest after 3 years is $360

5 0
3 years ago
A contractor developed a multiplicative time-series model to forecast the number of contracts in future quarters, using quarterl
dusya [7]

There is a missing content in the question.

After the statements and before the the options given; there is an omitted content which says:

Referring to Table 16-5, in testing the coefficient of X in the regression equation (0.117) the results were a t-statistic of 9.08 and an associated p-value of 0.0000. Which of the following is the best interpretation of this result?

Answer:

C. The quarterly growth rate in the number of contracts is significantly different from 0% (? = 0.05).

Step-by-step explanation:

From the given question:

The resulting regression equation can be represented as:

\hat Y = 3.37 + 0.117 X - 0.083 Q_1 + 1.28 Q_2 + 0.617Q_3

where;

the estimated number of contracts in a quarter X is the coded quarterly value with X = 0

the first quarter of 2010 Q1 is a dummy variable equal to 1 in the first quarter of a year and 0 otherwise

Q2 is a dummy variable equal to 1 in the second quarter of a year and 0 otherwise

Q3 is a dummy variable equal to 1 in the third quarter of a year and 0 otherwise

Our null and alternative hypothesis can be stated as;

Null hypothesis :

H_0 :  The quarterly growth rate in the number of contracts is not  significantly different from 0% (? = 0.05)

H_a:  The quarterly growth rate in the number of contracts is significantly different from 0% (? = 0.05)

The decision rule is to reject the null hypothesis if the p-value is less than 0.05.

From the missing omitted part we added above; we can see that the   t-statistics value = 9.08 and the p-value = 0.000 .

Conclusion:

Thus; we reject the null hypothesis and accept the alternative hypothesis. i.e

The quarterly growth rate in the number of contracts is significantly different from 0% (? = 0.05)

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