Answer:
10.1 years.
Step-by-step explanation:
It is given that,
Principal = 9000
Rate of interest = 5%
No. of times interest compounded = 2 times in an year
Amount after certain time = 14800
The formula for amount:
where, P is principal, r is rate of interest, n is no. of times interest compounded in an year and t is time in years.
Substitute the given values in the above formula.
Taking log both sides.
![[\because \log a^b=b\log a]](https://tex.z-dn.net/?f=%5B%5Cbecause%20%5Clog%20a%5Eb%3Db%5Clog%20a%5D)
Therefore, the required time is 10.1 years.
Answer:
At its top floor, the Empire State Building stands <u>1,250 feet (380 meters)</u> tall. Counting the spire and antenna, the building clocks in at a mighty 1,454 feet (443 meters).
This is about understanding rigid transformations.
<u><em>Option 4 is not a rigid transformation.</em></u>
- In mathematics, transformation could be;
Rigid Transformation; This includes reflection, rotation, translation.
Non - Rigid Transformation; This includes dilation and shear.
- Now, a transformation is said to be a rigid transformation when the newly transformed image retains the same shape and size as it was before it was transformed. Although it can change position.
Whereas, it is termed non - rigid transformation if the shape or size changes.
Let us look at the triangles in the option;
- Option 1; In this option, we see that the two triangles maintain the same shape and size and thus the transformation is rigid.
- Option 2; In this option, we see that the two triangles maintain the same shape and size and thus the transformation is rigid.
- Option 3; Similar to options 1 & 2, we see that the two triangles maintain the same shape and size and thus the transformation is rigid.
- Option 4; We see that one of the triangles is bigger than the other. Since the transformed triangle is not the same size as it was before transformation, then it is not a rigid transformation.
Read more at; brainly.com/question/16979384
Answer: the computer towers will be worth $10521 after 8 years
Step-by-step explanation:
We would apply the formula for exponential decay which is expressed as
A = P(1 - r)^t
Where
A represents the value of the computer towers after t years.
t represents the number of years.
P represents the initial value of the computer towers.
r represents rate of decay.
From the information given,
P = $30900
r = 12.6% = 12.6/100 = 0.126
Therefore, the function that models the value of the computer towers after (t)years from now is
A = 30900(1 - 0.126)^t
A = 30900(0.874)^t
Therefore, when t = 8 years, then
A = 30900(0.874)^8
A = $10521
