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.
Answer:
23 años
Step-by-step explanation:
Para resolver la situación, consideremos que x es la edad de la persona. Sabemos que dentro de seis años esta tendrá el doble de la edad que tenía hace cuatro años. La edad dentro de 6 años se puede expresar como x+6 y esto será igual al doble de la edad que tenía hace cuatro años, lo que se puede expresar como 2(x-4). De acuerdo a esto:
x+6=2(x-4)
x+6=2x-8
6+8=2x-x
x=14
Ahora que sabemos que la edad de la persona es 14 años, le sumamos 9 y esto da como resultado 23 y esta es la edad que la persona tendrá en 9 años.
The equation given in the question is
2s + s + 12 = 132
3s + 12 = 132
3s = 132 - 12
3s = 120
s = 120/3
= 40
From the above deduction we can see that the value of the unknown variable comes out to be exactly 40. This is possible because there is a single unknown variable and a single equation to get the value of the variable from. So the correct option among all the options given in the question is option "D".
Answer:
UV = 4.5 (not rounded)
TV = 3√3
m∠U = 60˚
Step-by-step explanation:
UV = Use sin function since you’re finding the hypotenuse with a given angle and opposite side.
sin(30) = 9/UV
9sin(30) = UV
4.5 = UV
TV = Use Tangent function (opp. over adj.) since you’re finding the adjacent side with a given angle and opposite side.
tan(30) = 9/TV
9tan(30) = TV
3√3 = TV
m∠U = Sum of all interior angles of a triangle is 180˚:
90˚ + 30˚ = 120˚
180˚ - 120˚ = 60˚
Hope this helps :)
