Answer:
the interest rate is $183.89 =~ $ 184
Step-by-step explanation:
In this question, Antuan deposited $2590 into a 3 year CD (Certificate of Deposit) at an interest rate of 2.3% compounded quarterly. We need to find the interest account earned after 3 years.
Formula used will be :
![Interest = P ( 1 + r/n) ^ n ^ t - P](https://tex.z-dn.net/?f=%20Interest%20%3D%20P%20%28%201%20%2B%20r%2Fn%29%20%5E%20n%20%5E%20t%20-%20P)
Where
P= Principal amount
r= interest rate (in decimals)
n= no of times the interest is compounded
t = no of years
Here we are subtracting P because we only need interest amount and not the future value.
Using this formula and finding the value will be:
P= $2590
r = 2.3 % or 0.023
n = 4
t = 3
![Interest = 2590 * ( 1 - 0.023 / 4) ^ 4^ * ^ 3 - 2590](https://tex.z-dn.net/?f=Interest%20%3D%202590%20%2A%20%28%201%20-%200.023%20%2F%204%29%20%5E%204%5E%20%2A%20%5E%203%20-%202590)
![Interest= 2590 (1.071) -2590\\Interest= 2773.89 - 2590\\Interest= 183.89](https://tex.z-dn.net/?f=Interest%3D%202590%20%281.071%29%20-2590%5C%5CInterest%3D%202773.89%20-%202590%5C%5CInterest%3D%20183.89)
So the interest rate is $183.89 =~ $ 184
-4(3)=-12
-4(6)=-24
-12+(-24)=-36
Answer:
ok so here... 1:people and animals 2:math and science 3:shoes and sandals 4:cats and dogs thats all i could have thinked of.
Step-by-step explanation:
Answer:
![Width= 13 cm](https://tex.z-dn.net/?f=Width%3D%2013%20cm)
![length=30cm](https://tex.z-dn.net/?f=length%3D30cm)
Step-by-step explanation:
Let the length of the rectangle be 'L'
And the width of the rectangle be 'W'
![Perimeter= 86 cm](https://tex.z-dn.net/?f=Perimeter%3D%2086%20cm)
According to the statement:
![Length= 2*Width+4\\L=2W+4](https://tex.z-dn.net/?f=Length%3D%202%2AWidth%2B4%5C%5CL%3D2W%2B4)
Perimeter of a rectangle= 2(Length+Width)
![86=2(2W+4+W)\\86/2=3W+4\\43=3W+4\\3W=43-4\\3W=39\\W=39/3\\W=13 cm\\\\Length(L)=2W+4\\=2(13)+4=26+4=30 cm\\Length=30 cm](https://tex.z-dn.net/?f=86%3D2%282W%2B4%2BW%29%5C%5C86%2F2%3D3W%2B4%5C%5C43%3D3W%2B4%5C%5C3W%3D43-4%5C%5C3W%3D39%5C%5CW%3D39%2F3%5C%5CW%3D13%20cm%5C%5C%5C%5CLength%28L%29%3D2W%2B4%5C%5C%3D2%2813%29%2B4%3D26%2B4%3D30%20cm%5C%5CLength%3D30%20cm)
![Width= 13 cm](https://tex.z-dn.net/?f=Width%3D%2013%20cm)
![length=30cm](https://tex.z-dn.net/?f=length%3D30cm)