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dimaraw [331]
3 years ago
9

Moe bought a home for $200,000 in 2012. Every year the city appraiser has said Moe's home has increased in value 5% What it Moe'

s home worth in 2019?
a. $230,000
b. $281420
c. $268,019
d. $269972​
Mathematics
1 answer:
kotykmax [81]3 years ago
8 0

Given :

Moe bought a home for $200,000 in 2012. Every year the city appraiser has said Moe's home has increased in value 5% .

To Find :

What it Moe's home worth in 2019.

Solution :

We know, formula of compound interest is :

A = P ( 1 + \dfrac{R}{100})^n\\\\A = 200000\times ( 1 + \dfrac{5}{100})^{2019-2012}\\\\A = 200000\times ( 1 + \dfrac{1}{20})^7\\\\A = \$ 281420.0

Hence, this is the required solution.

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Assume that x has a normal distribution with the specified mean and standard deviation. Find the indicated probability. (Round y
tino4ka555 [31]

Answer:

0.8762 or 87.62%

Step-by-step explanation:

Since our mean is μ=14.3 and our standard deviation is σ=3.7.  If we're trying to figure out what percentage is P(10 ≤ x ≤ 26) equal to we must first calculate our z values as such:

z=\frac{x-\mu}{\sigma}

Our x value ranges from 10 to 26 therefore let x=10 and we obtain:

z=\frac{10-14.3}{3.7} =-1.16\\

If we look at our z-table we find that the probability associated with a z value of -1.16 is 0.1230 meaning 12.30%.

Now let's calculate the z value when x = 26 and so:

z=\frac{26-14.3}{3.7}=3.16\\

Similarly, we use the z-table again and find that the probability associated with a z value of 3.16 is 0.9992 meaning 99.92%.

Now we want to find the probability in between 10 and 26 so we will now subtract the upper limit minus the lower limit in P(10 ≤ x ≤ 26) therefore:

0.9992 - 0.1230 = 0.8762

or 87.62%

7 0
3 years ago
Dimensions definition
Travka [436]
Marie has a small copy of Rene margrittes famous painting. The Schoolmasters. Her copy has dimensions of 2 inches by 1.5 inches. The scale of her copy is 1 inch:40 cm What is the dimensions of the original painting?


Every 1 inch on her copy is the same as 40 cm on the original. 
You just have to multiply by 40 and convert to centimetres.

2 x 40 = 80
1.5 x 40 = 60

So the original painting is:
80cm by 60cm
3 0
3 years ago
Please help me with this assignment ASAP!!! I only partially understand, so please explain. Also it's a work sample.
Rudiy27
To find the answer, we can first find the distance each of them have, then divide it by their speed to find the time needed.

Distance Steve need to travel: 300 feet
Distance Paula need to travel:
300+175(behind steve) = 475 feet

Time needed respectively:

Steve: 300 ÷ 9 = 33.33.. seconds
Paula: 475 ÷ 15 = 31.66... seconds

As we can see from the result, Paula would take less time to reach the goal (31.66<33.33),
therefore, Paula win the bike race by:

33.33-31.67
=1.66...
≈1.67 feet

Thus Paula won by 1.67 feet.

Hope it helps!
5 0
3 years ago
What is the solution to the equation-3(h+5)+2 = 4(h+6)- 9?<br> h= 4<br> h= -2<br> h = 2<br> h = 4
ruslelena [56]
Expanding
-3h-15+2=4h+24-9
-3h-4h=24-9-2+15
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8 0
2 years ago
Which expression is equivalent to (8^2)^-4
xz_007 [3.2K]

Answer:

C: \frac{1}{8*8*8*8*8*8*8*8}

Step-by-step explanation:

a^{-n} = \frac{1}{a^n}

Since a = 8^2 :

(8^2)^{-n} = \frac{1}{(8^2)^n} =\frac{1}{8^{2n}}

Since n = 4 :

(8^2)^{-4} =\frac{1}{8^{2*4}}=\frac{1}{8^{8}}=\frac{1}{8*8*8*8*8*8*8*8}

6 0
2 years ago
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