It would be much easier if you attached a table. Anyway I know what you need to do. Just make an equation and put the numbers from the table given you in the task. And you'll solve it.
Answer:
) = 23 °C
ii) = 4.4° C
Step-by-step explanation:
i) The temperature on the surface of the planet.
At the surface of the planet the height is Zero
Therefore, X = 0
Thus; using the equation, the temperature, y will be;
y = 23 - 5x
y = 23 - 5(0)
= 23 °C
ii) the temperature change for every kilometer from the surface,
From the equation;
y = 23 - 5x
we take, y to be 1
Therefore;
1 = 23 -5x , subtracting 23 on both sides we get
-22 = -5x
x = -22/-5
= 4.4° C
Answer:
The slope is 4/3
Step-by-step explanation:
Answer:
The value of the CD at the end of the 4 years is $5,808.86.
Step-by-step explanation:
Compound interest:
The compound interest formula is given by:
![A(t) = P(1 + \frac{r}{n})^{nt}](https://tex.z-dn.net/?f=A%28t%29%20%3D%20P%281%20%2B%20%5Cfrac%7Br%7D%7Bn%7D%29%5E%7Bnt%7D)
Where A(t) is the amount of money after t years, P is the principal(the initial sum of money), r is the interest rate(as a decimal value), n is the number of times that interest is compounded per year and t is the time in years for which the money is invested or borrowed.
Howard invested $5,000 in Certificate of Deposit (CD) that pays 3.75% interest.
This means that ![P = 5000, r = 0.0375](https://tex.z-dn.net/?f=P%20%3D%205000%2C%20r%20%3D%200.0375)
Compounded weekly
An year has 52 weeks, so ![n = 52](https://tex.z-dn.net/?f=n%20%3D%2052)
Then
![A(t) = P(1 + \frac{r}{n})^{nt}](https://tex.z-dn.net/?f=A%28t%29%20%3D%20P%281%20%2B%20%5Cfrac%7Br%7D%7Bn%7D%29%5E%7Bnt%7D)
![A(t) = 5000(1 + \frac{0.0375}{52})^{52t}](https://tex.z-dn.net/?f=A%28t%29%20%3D%205000%281%20%2B%20%5Cfrac%7B0.0375%7D%7B52%7D%29%5E%7B52t%7D)
What is the value of the CD at the end of the 4 years?
This is A(4). So
![A(4) = 5000(1 + \frac{0.0375}{52})^{52*4} = 5808.86](https://tex.z-dn.net/?f=A%284%29%20%3D%205000%281%20%2B%20%5Cfrac%7B0.0375%7D%7B52%7D%29%5E%7B52%2A4%7D%20%3D%205808.86)
The value of the CD at the end of the 4 years is $5,808.86.
Answer:
The property shown in matrix addition given is "Additive Inverse Property"
Step-by-step explanation:
First of all lets define what a matrix is.
A matrix is an array of rows and columns that consists of numbers. There are several types of matrices. The one in our question is a row matrix which consists of only one row.
There are several addition properties for matrices.
One of them is additive inverse property. The additive inverse of a matrix consists of the same elements but their signs are changed.
Additive inverse property states that the sum of a matrix and its additive inverse is a zero matrix.
![\left[\begin{array}{ccc}-6&15&-2\end{array}\right] + \left[\begin{array}{ccc}6&-15&2\end{array}\right] = \left[\begin{array}{ccc}0&0&0\end{array}\right]](https://tex.z-dn.net/?f=%5Cleft%5B%5Cbegin%7Barray%7D%7Bccc%7D-6%2615%26-2%5Cend%7Barray%7D%5Cright%5D%20%2B%20%5Cleft%5B%5Cbegin%7Barray%7D%7Bccc%7D6%26-15%262%5Cend%7Barray%7D%5Cright%5D%20%3D%20%5Cleft%5B%5Cbegin%7Barray%7D%7Bccc%7D0%260%260%5Cend%7Barray%7D%5Cright%5D)
Hence,
The property shown in matrix addition given is "Additive Inverse Property"