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Alex73 [517]
2 years ago
8

Aria paid $75,000 for her house. its property value increased by 2.2% per year. when aria sold her house after eleven years, how

much was it worth, to the nearest hundred dollars?a.$133,700b.$95,400c.$95,300d.$93,100 please select the best answer from the choices providedabcd
Mathematics
1 answer:
Wewaii [24]2 years ago
3 0

Answer:

D

Step-by-step explanation:

Converting percent to decimal : 2.2/100 = 0.022

Finding 2.2$ of $75k : 75,000 x 0.022 = $1,650 (also the increase in one year)

Finding how much it was worth after 11 years :

(75,000 x 0.022) x 11 = $18,150 or 1,650 x 11 = $18,150

Now add the product to the regular amount to find out the answer:

75,000 + 18,150 = $93,150 (which is how much it increased after 11 years)

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A systems analyst tests a new algorithm designed to work faster than the currently-used algorithm. Each algorithm is applied to
tatuchka [14]

Answer:

Step-by-step explanation:

This is a test of 2 independent groups. The population standard deviations are not known. it is a two-tailed test. Let μ1 be the true mean completion time for the new algorithm and μ2 be the true mean completion time for the current algorithm.

The random variable is μ1 - μ2 = difference in the mean completion time between the new algorithm and the current algorithm.

We would set up the hypothesis.

The null hypothesis is

H0 : μ1 ≤ μ2 H0 : μ1 - μ2 ≤ 0

The alternative hypothesis is

H1 : μ1 > μ2 H1 : μ1 - μ2 > 0

Since sample standard deviation is known, we would determine the test statistic by using the t test. The formula is

(μ1 - μ2)/√(s1²/n1 + s2²/n2)

From the information given,

μ1 = 19.15

μ2 = 22.01

s1 = 5.784

s2 = 4.293

n1 = 53

n2 = 53

t = (19.15 - 22.01)/√(5.784²/53 + 4.293²/53)

t = - 2.89

The formula for determining the degree of freedom is

df = [s1²/n1 + s2²/n2]²/(1/n1 - 1)(s1²/n1)² + (1/n2 - 1)(s2²/n2)²

df = [5.784²/53 + 4.293²/53]²/[(1/53 - 1)(5.784²/53)² + (1/53 - 1)(4.293²/53)²] = 0.958/0.0099876314

df = 100

We would determine the probability value from the t test calculator. It becomes

p value = 0.0023

Since alpha, 0.05 > than the p value, 0.0023, then we would reject the null hypothesis.

4 0
3 years ago
Linda rented a bike from Bruno's Bikes. They charged her $5 per hour, plus $12 fee. Linda paid less than $36. Write an inequalit
igor_vitrenko [27]

Answer:

5x+12=36

Step-by-step explanation:

7 0
2 years ago
Read 2 more answers
Simplify... (10x-8) + (4x+5)
IRINA_888 [86]

Answer:

14x - 3

Step-by-step explanation:

Hope this helps and Marry Christmas! :)

~Zane

3 0
3 years ago
Read 2 more answers
Find the sum of two consecutive odd numbers is 56 find the numbers
ehidna [41]

Answer:

\boxed{\sf 27 \ and \ 29}

Step-by-step explanation:

Let the first consecutive odd integer be \sf x.

Let the second consecutive odd integer be \sf x+2.

The sum of the two numbers is 56.

\sf x+x+2=56

\sf 2x+2=56

\sf 2x=54

\sf x=27

Put x as 27 for the second consecutive odd integer.

\sf 27+2=29

The two numbers are 27 and 29.

3 0
3 years ago
Find the equation of the line passing through (1,4) and (-2,-1).
wel

Answer:

y=5/3x+7/3

Step-by-step explanation:

Here are the points: (1,4) and (-2, -1)

let's first find the slope, which is with the equation m=(y2-y1)/(x2-x1) (m is the slope)

label the points:

x1=1

y1=4

x2=-2

y2=-1

now subsitute into the equation

m=(-1-4)/(-2-1)

m=-5/-3

m=5/3

the slope of the line 5/3

Here's the equation so far:

y=5/3x+b (b is a place holder)

we can substitute either one of the points into the equation so far to find b, because the line will pass through both of them>

let's use (1,4) as an example

4=5/3(1)+b

4=5/3+b

subtract 5/3 from both sides

7/3=b

Now, put it all together:

y=5/3x+7/3

Hope this helps!

8 0
3 years ago
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