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WINSTONCH [101]
3 years ago
13

Question 1 of 5 A home has an original value of $249,000. Each year, the value of the home decreases by 7.1%. Select the equatio

n that models the situation after t years. V = 249,000(1.071)t V = 249,000(0.929)t V = 249,000(0.071)t V = 249,000(0.29)t
Mathematics
1 answer:
algol133 years ago
7 0

Answer:

V = 249,000(0.929)^t

Step-by-step explanation:

100% - 7.1% = 92.9% = 0.929

0.929 must be raised to t, the number of years.

V = 249,000(0.929)^t

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A square's area is 3 times its perimeter. Find the dimensions of the square.
snow_tiger [21]
Answer:

length = 6

width = 6

height = 6

Step-by-step explanation:

Area of the square = 6 * 6

Area of the square = 36

The perimeter = 6 + 6

The perimeter = 12

so 36 is 3 times bigger than 12
7 0
2 years ago
During a food drive, a local middle school collected 8,982 canned food items. Each of the 28 classrooms that participated in the
Nadusha1986 [10]
Each classroom donated around 320 cans(or more) of food.

320x28=8,960.
3 0
3 years ago
Read 2 more answers
Test the set of polynomials for linear independence. If it is linearly dependent, express one of the polynomials as a linear com
aliina [53]

Answer:

The set of polynomial  is Linearly Independent.

Step-by-step explanation:

Given - {f(x) =7 + x, g(x) = 7 +x^2, h(x)=7 - x + x^2} in P^2

To find - Test the set of polynomials for linear independence.

Definition used -

A set of n vectors of length n is linearly independent if the matrix with these vectors as columns has a non-zero determinant.

The set is dependent if the determinant is zero.

Solution -

Given that,

f(x) =7 + x,

g(x) = 7 +x^2,

h(x)=7 - x + x^2

Now,

We can also write them as

f(x) = 7 + 1.x + 0.x²

g(x) = 7 + 0.x + 1.x²

h(x) = 7 - 1.x + 1.x²

Now,

The coefficient matrix becomes

A = \left[\begin{array}{ccc}7&1&0\\7&0&1\\7&-1&1\end{array}\right]

Now,

Det(A) = 7(0 + 1) - 1(7 - 7) + 0

           = 7(1) - 1(0)

           = 7 - 0 = 7

⇒Det(A) = 7 ≠ 0

As the determinant is non- zero ,

So, The set of polynomial  is Linearly Independent.

5 0
2 years ago
What is the sum of series is numbers 64&amp;66 ?<br> Using the summation notation
iragen [17]

Answer:

64. 6138

66. 8.078125

Step-by-step explanation:

Let's take it one number at a time.

For number 64:

6(2)^{1-1}=6

6(2)^{2-1}=12

6(2)^{3-1}=24

6(2)^{4-1}=48

6(2)^{5-1}=96

6(2)^{6-1}=192

6(2)^{7-1}=384

6(2)^{8-1}=768

6(2)^{9-1}=1536

6(2)^{10-1}=3072

Sum = 6 + 12 + 24 + 48 + 96 + 192 + 384 + 768 + 1536 + 3072

Sum = 6138

For number 66:

12(-\frac{1}{2})^{0}=12

12(-\frac{1}{2})^{1}=-6

12(-\frac{1}{2})^{2}=3

12(-\frac{1}{2})^{3}=-1.5

12(-\frac{1}{2})^{4}=0.75

12(-\frac{1}{2})^{5}=-0.375

12(-\frac{1}{2})^{6}=0.1875

12(-\frac{1}{2})^{7}=-0.0078125

12(-\frac{1}{2})^{8}=0.046875

12(-\frac{1}{2})^{9}=-0.0234375

Sum = 12 + -6 + 3 + -1.5 + 0.75 + -0.375 + 0.1875 + -0.0078125 + 0.046875 + -0.0234375

or to make things simpler:

Sum = 12 - 6 + 3 - 1.5 + 0.75 - 0.375 + 0.1875 - 0.0078125 + 0.046875 - 0.0234375

Sum = 8.078125

4 0
3 years ago
Evaluate 66 - 20 - 32 1/4
BigorU [14]

Answer:

13.75

Step-by-step explanation:

66-20- 32 1/4

66-20- 32.25

46-32.25

13.75

8 0
3 years ago
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