Se debe depositar $ 600 000 en la cuenta con 18 % de interés <em>anual</em> y $ 200 000 en la cuenta con 21 % de interés <em>anual</em> para recibir $ 150 000 en intereses.
<h3>¿Cuánto se debe invertir en cada cuenta para alcanzar las ganancias deseadas en un período dado?</h3>
En este problema tenemos un depósito repartido en dos cuentas, que adquiere ganancias de manera <em>continua</em> en el tiempo. En consecuencia, tenemos por interés compuesto la siguiente ecuación a resolver:
x · (18/100) + (800 000 - x) · (21/100) = 150 000
168 000 - (3/100) · x = 150 000
(3/100) · x = 18 000
x = 600 000
Se debe depositar $ 600 000 en la cuenta con 18 % de interés <em>anual</em> y $ 200 000 en la cuenta con 21 % de interés <em>anual</em> para recibir $ 150 000 en intereses.
Para aprender más sobre el interés compuesto: brainly.com/question/23137156
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Answer:
Common difference(d)
(21) -10 -548
(22) -7 -323
(23) 10 547
(24) -100 -5118
Step-by-step explanation:
Let the common difference be denoted by 'd'.
Also the nth difference of an arithmetic sequence is given by:
(21)
We are given a recursive formula as:
The first term is given by:
The common difference for an arithmetic sequence is given by:
Hence, here we have the common difference as:
The nth term of an arithmetic sequence is given by:
Here and .
Hence,
Hence,
(22)
The common difference for an arithmetic sequence is given by:
Hence, here we have the common difference as:
Here and .
Hence,
Hence,
(23)
The common difference for an arithmetic sequence is given by:
Hence, here we have the common difference as:
Here and .
Hence,
Hence,
(24)
The common difference for an arithmetic sequence is given by:
Hence, here we have the common difference as:
Here and .
Hence,
Hence,
These are the answers for the first 2 questions
<em></em>
<em>1.</em> 16.956 m
<em><u> formula:</u></em> C = 2πr
C = 2(3.14)(2.7)
C = 6.28(2.7)
C = 16.956
<em>4.</em> 15.7 ft.²
<u><em>formula:</em></u> C = πd
C = 3.14(5)
C = 15.7