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yanalaym [24]
3 years ago
6

A sum of money is invested at 12% compounded quarterly. About how long will it take for the amount of money to double?

Mathematics
2 answers:
iVinArrow [24]3 years ago
4 0
I'll use my own formula (similar to yours tho)

A=P(1+ \frac{r}{n})^{nt}
A=future amount
p=invested
r=rate in decimal
n=number of times per year compounded
t=time in years


so
when will A=2P
subsitute 2P for A
also quarterly means 4 times a year or n=4
and 12%=0.12=r
so

2P=P(1+ \frac{0.12}{4})^{(4*t)}
divide both sides by P
2=(1+ \frac{0.12}{4})^{(4*t)}
simplify
2=(1+ 0.03)^{4t}
2=(1.03)^{4t}
take the ln of both sides
ln(2)=ln(1.03)^{4t}
ln(2)=4tln(1.03)
ln(2)=t(4ln(1.03))
divide both sides by 4ln(1.03)
\frac{ln(2)}{4ln(1.03)}=t
use calculator
5.86244=t
about 5.9 years
Dmitriy789 [7]3 years ago
4 0

Answer:

5.9

Step-by-step explanation:

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svetoff [14.1K]

Trabajando con porcentajes, concluimos que la pérdida es de $4800.

<h3>¿A cuánto asciende la pérdida?</h3>

Sabemos que la inversión inicial es de $60000, y de esta cantidad, se pierde un 8%.

Entonces la pérdida va a ser el 8% de $60000.

Podemos escribir las relaciones:

$60000 = 100%

x = 8%

Queremos resolver esto para x, tomando el cociente entre esas relaciones y resolviendo para x obtenemos:

x = $60000*(8%/100%) = $60000*0.08 = $4800

Así, concluimos que la pérdida es de $4800.

Sí quieres aprender más sobre porcentages:

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6 0
2 years ago
The larger leg of a right triangle is 3 cm longer than its smaller leg. The hypotenuse is 6 cm longer than the smaller leg. How
dlinn [17]
For rigt triangle with legs legnth a and b and hypotnuse legnth c

a^2+b^2=c^2

we are given
larger leg is 3 longer than smaller leg
hypotnuse is 6 longer than smaller
find smaller

ok so

first pick a smaller leg
lets say b is smaller
longer leg is 3 more than shorter leg
a is 3 more than b
a=3+b
and

hypontuse is 6 more than shorter
c=6+b

sub 3+b for a and 6+b for c in oroiginal equation'

a^2+b^2=c^2
(3+b)^2+b^2=(6+b)^2
9+6b+b^2+b^2=36+12b+b^2
2b^2+6b^2+9=b^2+12b+36
minus (b^2+12b+36) from both sides
b^2-6b-27=0
factor
(b-9)(b+3)=0
set equal to zero

b-9=0
b=9

b+3=0
b=-3
fasle, legnths cannot be negative


answer is shorter side=9 cm


5 0
3 years ago
Stan's heart rate, in beats per minute, was measured 20 times at random. The results are 82, 84, 98, 112, 97, 93, 91, 87, 112, 8
Licemer1 [7]

Answer:

(80.4942, 94.9052)

Step-by-step explanation:

The sample mean is x = 87.7.

The sample standard deviation is s = 11.26.

At 99% confidence and 19 degrees of freedom, the critical value is t = 2.861.

The confidence interval is:

x ± t (s/√n)

87.7 ± 2.861 (11.26 / √20)

87.7 ± 7.2053

(80.4947, 94.9053)

6 0
3 years ago
If y = f(x) = A(0.5)* + B is increasing on the interval (-0, o), which statement must be true?
Elena L [17]

Answer:

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7 0
3 years ago
Read 2 more answers
I have no idea what to do
tekilochka [14]

Answer: Y=-5x+30

Step-by-step explanation:

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8 0
3 years ago
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