Answer:
Robert will have $481 more in his account than Cooper.
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.
Continuous compounding:
Similar to compound interest:
![A(t) = P(1 + r)^t](https://tex.z-dn.net/?f=A%28t%29%20%3D%20P%281%20%2B%20r%29%5Et)
Cooper:
Cooper invested $3,100 in an account paying an interest rate of 2% compounded quarterly. This means that ![P = 3100, r = 0.02, n = 4](https://tex.z-dn.net/?f=P%20%3D%203100%2C%20r%20%3D%200.02%2C%20n%20%3D%204)
After 12 years is A(12). So
![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(12) = 3100(1 + \frac{0.02}{4})^{4*12}](https://tex.z-dn.net/?f=A%2812%29%20%3D%203100%281%20%2B%20%5Cfrac%7B0.02%7D%7B4%7D%29%5E%7B4%2A12%7D)
![A(12) = 3938.5](https://tex.z-dn.net/?f=A%2812%29%20%3D%203938.5)
Cooper will have $3938.5 in his account.
Robert:
Robert invested $3,100 in an account paying an interest rate of 3 % compounded continuously. So
.
After 12 years.
![A(t) = P(1 + r)^t](https://tex.z-dn.net/?f=A%28t%29%20%3D%20P%281%20%2B%20r%29%5Et)
![A(12) = 3100(1 + 0.03)^{12}](https://tex.z-dn.net/?f=A%2812%29%20%3D%203100%281%20%2B%200.03%29%5E%7B12%7D)
![A(12) = 4419.9](https://tex.z-dn.net/?f=A%2812%29%20%3D%204419.9)
Robert will have $4419.9 in his account.
How much more money would Robert have in his account than Cooper, to the nearest dollar?
4419.9 - 3938.5 = 481.4
To the nearest dollar, Robert will have $481 more in his account than Cooper.
Answer:
dogs - 13
cats - 39
Step-by-step explanation:
Let the number of dogs Ma Bernier have be represented with d
She has 3 times as many cats as dogs, the number of cats she has :
cats = 3d
The sum of the cats and dogs is 52
d + 3d = 52
4d = 52
divide both sides of the equation by 4
d = 13
She has 13 dogs
Cats = 3d
= 3 x 13 = 39
II. Find the area of the ahaded region.
1. Area of the entire parallelogram- 64 in2
2. Area of rectangle in the middle- 12 in2
3. 64 - 12 = 52 in2
10)
1. 18 cm2
2. 4.5 cm2
3. 18 - 4.5 = 13.5 cm2
13)
Area= Base x Height
Area= 9 x 8
Area= 72 ft2
14)
Area= 1/2 height (base1 + base2)
Area= 1/2 x 24 x (30 + 28)
Area= 696 in2
MARK ME BRAINLIEST TYSM
To find the unit price take price of $2 and divide by the number of cans 4
$2/4 = 0.5 So I can is $0.50.
In geometry, an angle measure can be defined as the measure of the angle formed by the two rays or arms at a common vertex. Angles are measured in degrees ( °), using a protractor