Answer:
Fernando invested $ 5000 on the 5-year CD and $ 4000 on the 18-month CD.
Step-by-step explanation:
Since Fernando invested money in a 5-yr CD (certificate of deposit) that returned the equivalent of 3.3% simple interest, and the invested $ 1000 less in a 18-month CD that had a 2% simple interest return, if the total amount of interest from these investments was $ 945.00, to determine how much was invested in each CD the following calculation must be performed:
3.3 x 5 = 16.5
2 x 1.5 = 3
4000 x 0.165 + 3000 x 0.03 = 750
6000 x 0.165 + 5000 x 0.03 = 1140
5000 x 0.165 + 4000 x 0.03 = 945
Therefore, Fernando invested $ 5000 on the 5-year CD and $ 4000 on the 18-month CD.
Answer:
k = - 6.6667
Step-by-step explanation:
this is quite very simple to begin. I would encourage you take other practice questions similar to help with understanding it.
let us begin.
Given that ;
dT/dt = k ( Tm - T) where Tm is the temp of the medium
dT/dt = 5 degrees Celsius per minute when T = 70
so we have that, 5 = k ( 25 - 70)
remember to convert 5 degree celsius per minute to seconds
we have that;
5*60(sec) = k ( 25 - 70)
k = 5*60 / ( 25 - 70)
k = - 6.6667
note K is negative because we consider it for cooling process (temp decreasing).
cheers i hope this helps!!!
Answer:
72 students
Step-by-step explanation:
1. change 60% to decimal= 0.6
2. multiply 0.6 by 120
3. 72
Answer:
The length is 10 cm
Step-by-step explanation:
The area is given by length times width
A = l*w
We have an area of 80 cm^2 and a width of 8
80 = l*8
Divide each side by 8
80/8 = 8l/8
10 = l
The length is 10 cm
The factors illustrate they the sides of the rectangles are:
- (x - 1)(x - 2)
- (2x - 3)(x + 2)
<h3>How to get the factors?</h3>
The first equation given is x² - 3x + 2.
= x² - 3x + 2.
= x² - x - 2x + 2
= x(x - 1) - 2(x - 1)
= (x - 1)(x - 2)
Therefore, the side lengths are (x - 1) and (x - 2).
In the rectangular figure, the length and width should be the expressions above.
The second equation given is 2x² + x - 6.
= 2x² + x - 6.
= 2x² + 4x - 3x - 6
= 2x(x + 2) - 3(x + 2)
= (2x - 3)(x + 2)
Therefore, the side lengths are (2x - 3) and (x + 2).
In the rectangular figure, the length and width should be the expressions above.
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