The future value of 1000 with annual compounding for 10 years is $1967.15.
The formula for calculating with annual compounding is:
FV = P (1 + r)^n
- FV = Future value
- P = the amount deposited
- R = interest rate
-
N = number of years
1000 x (1.07)^10 = $1967.15
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Answer:
Step-by-step explanation:
a)
- 6ˣ = 1/216
- 6ˣ = 1/6³
- 6ˣ = 6⁻³
- x = -3
b)
- 5⁻³ × 2⁻¹ =
- 1/5³ × 1/2 =
- 1/(125×2) =
- 1/250 or 0.004
Answer:
Una persona necesitará 2 horas y 30 minutos de viaje en bicicleta para quemar el contenido kilocalórico de cinco galletas.
Step-by-step explanation:
De acuerdo con este problema, la cantidad de calorías que se quema es directamente proporcional al tiempo de viaje en bicicleta. Si sabemos que una galleta aporta 150 kilocalorías, entonces 5 galletas equivalen a 750 kilocalorías.
Por regla de tres simple calculamos el tiempo requerido para quemar 750 kilocalorías:
Es decir, una persona necesitará 2 horas y 30 minutos de viaje en bicicleta para quemar el contenido kilocalórico de cinco galletas.
Let us find the slopes of the two lines
ax+by=c, slope m1 = -a/b
bx-ay=c, slope m2 = b/a
m1*m2 = (-a/b)(b/a) = -1
Therefore the two lines are perpendicular so the answer is D
<u>Answer:</u>
The range of the function y = 2cos x is -2 <y < 2 .
<u>Step-by-step explanation:</u>
We know that cos (0) = 1 and cos (π) = - 1 are the two extreme values which cos x assume when x ∈ R and it is also that cos (x) is a continuous periodic function with period 2π when x ∈ R ,
since ,
cos (x + 2π) = cos x
So, the range of the function y = 2cos x is -2 <y < 2 .
