Answer:
Robert will have $481 more in his account than Cooper.
Step-by-step explanation:
Compound interest:
The compound interest formula is given by:
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:
Cooper:
Cooper invested $3,100 in an account paying an interest rate of 2% compounded quarterly. This means that
After 12 years is A(12). So
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.
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.
Apples is 8 and Oranges is 4
12/3=4 and then for the apples since its doubled it would be 4*2 which is 8 and 8+4=12
Answer:
Only the firsts and fourth choices ( and )
Step-by-step explanation:
Turn the equation into words:
"A number plus 9"
"Multiplied by "
"Is equals to -18"
Distribute to find the second equation:
Answer:
Option B.(1,8)
Step-by-step explanation:
Let
x ----> the number of hours worked
y ---->the amount earned in dollars
we know that
To find out the unit rate divide the total amount earned by the total hours worked
so
That means
For x=1 hour, y=$8
therefore
The point that represent the unit rate is (1,8)
The solution of the sin (10x) cos (7x) is 1/2 sin(17x ) + sin(3x).
<h3>What are the trigonometric identities?</h3>
We can calculate with the help of one of the trigonometric identities;
sin(A)cos(B) = 1/2 sin(A+B) + sin(A - B)
WE have given
sin (10x) cos (7x)
Here, A = 10x
B= 7x
So, sin(A)cos(B) = 1/2 sin(A+B) + sin(A - B)
sin(10x) cos(7x) = 1/2 sin(10x + 7x ) + Sin (10x - 7x)
sin(10x) cos(7x) = 1/2 sin(17x ) + sin(3x)
sin(10x) cos(7x) = 1/2 sin(17x ) + sin(3x)
Learn more about trigonometric ratios here:
brainly.com/question/22599614
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