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____ [38]
3 years ago
14

Mike and Beatrice purchase a house for $200,000. If the equation V = 200,000(1.03)x represents the value of the house after x ye

ars, how many years will it take the house to be worth approximately $225,000?
A) 4 years
B) 5 years
C) 6 years
D) 7 years
Mathematics
2 answers:
Elza [17]3 years ago
6 0
225000=200000(1.03^t)

9/8=1.03^t

ln(9/8)=tln(1.03)

t=ln(9/8)/ln(1.03)

t=3.98

t=4 years
Delicious77 [7]3 years ago
4 0

Answer:

Option A - 4 years

Step-by-step explanation:

Given : Mike and Beatrice purchase a house for $200,000. If the equation V = 200000(1.03)^x represents the value of the house after x years.

To find : How many years will it take the house to be worth approximately $225,000?

Solution :

The given equation is V = 200000(1.03)^x

x is the number of years and V is the price of house.

In how many years the price became $225,000

V=$225,000

Substitute in the equation,

V = 200000(1.03)^x

225000 = 200000(1.03)^x

\frac{225000}{200000}=(1.03)^x

1.125=(1.03)^x

Taking log both side,

\log(1.125)=\log((1.03)^x)

Apply logarithmic formula, \log(a)^x=x\log(a)

\log(1.125)=x\log(1.03)

\frac{\log(1.125)}{\log(1.03)}=x

3.98=x

Approximately x=4 years.

Therefore, Option A is correct.

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Suppose A is an invertible n×n matrix and v is an eigenvector of A with associated eigenvalue 4. Convince yourself that v is an
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The eigenvector of matrix A4 is 4096.

The eigenvalue of the matrix A-1 is 1/8.

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The collection of scalar values known as the eigenvalues of a matrix are connected to the set of linear equations that are most likely contained within the matrix equations.

The eigenvectors are also known as the characteristic roots.

If the matrix A's eigen vector v is linked to an eigen value.

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A shipping container contains seven complex electronic systems. Unknown to the purchaser, two are defective. Two of the seven ar
kodGreya [7K]

Answer:

     \large\boxed{\large\boxed{10/21}}

Explanation:

There are only two mutually exclusive possibilities for each complex electronic system: being <em>defective</em> or being <em>not defective</em>:

  • Number of complex electronic systems: 7
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