The solution for this problem is:
dV/dt = r/(t + 1)², V(0) = $500000, V(1) = $500000 - $200000 = $300000
∫dV = r∫ 1/(t + 1)² dt
V(t) = -r/(t + 1) + C
500000 = -r/(0 + 1) + C
400000 = -r/(1 + 1) + C
C = 300000, r = -100000
V(t) = 100000/(t + 1) + 300000
V(6) = 100000/(6+ 1) + 300000
V(6) = 14285.7143 + 300000
V(6) = $314285.71
13. 3(x-6)-8=-2 (you have to plug in x-6 as x in the equation
3x-18-8=-2 (distribute 3)
3x-26=-2 (combine like terms)
3x=24 (subtract 26 to both sides)
x=8 (divide 3 to both sides)
14. -2(3(5y+5)=-4
-2(15y+5)=-4
-30y-10=-4
30y=6
y=1/5
15. (3x-5) +2x = 90
16. Let m be the number of minutes
0.75m+32 = 47
Using this equation you can find the number of minutes.
0.75m = 15 ( subtract 32 to both sides)
m= 20 (divide 0.75 to both sides)
Vera called 20 minutes beyond her allowed minutes.
Here I hope that this helped you out hon :)
$2835.56 is the closest amount to the balance of the account at the
end of 2 years
Step-by-step explanation:
The formula for compound interest, including principal sum is
where:
- A is the future value of the investment/loan, including interest
- P is the principal investment amount (the initial deposit or loan amount)
- r is the annual interest rate (decimal)
- n is the number of times that interest is compounded per unit t
- t is the time the money is invested or borrowed for
Mr. Wilkins deposited $2,500 in a new account at his bank.
The bank pays 6.5% interest compounded annually on this account.
Mr. Wilkins makes no additional deposits or withdrawals
We need to find the closest amount to the balance of the account at
the end of 2 years
∵ P = $2,500
∵ r = 6.5% = (6.5/100) = 0.065
∵ n = 1 ⇒ compounded annually
∵ t = 2
Substitute all of these value in the formula above to find A
∵ 
∴ 
∴ A = $2835.56
$2835.56 is the closest amount to the balance of the account at the
end of 2 years
Learn more:
You can learn more about interest in brainly.com/question/11149751
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Answer:
x=5
Step-by-step explanation:
7 times x
7 times 2
7x-14= 21
14+14= 21+ 14
7x=35
x=5
7 times five equals 35