Question
A given initial capital in simple interest at the annual rate and for 27 months produced the accumulated capital of 6600 um if the same capital had been invested at the same rate but during 28 months the said accumulated capital would be increased in an amount corresponding to 0.75% of the initial capital Calculate the initial capital and the annual rate at which it was invested
216
likes1080 views
Answer to a math question A given initial capital in simple interest at the annual rate and for 27 months produced the accumulated capital of 6600 um if the same capital had been invested at the same rate but during 28 months the said accumulated capital would be increased in an amount corresponding to 0.75% of the initial capital Calculate the initial capital and the annual rate at which it was invested
Hank
4.8106 Answers
Este é um problema de juros simples, que é calculado pela fórmula:
I = Prt
onde I são os juros, P é o principal, r é a taxa e t é o tempo.
Seja P o capital inicial er a taxa anual. Então, de acordo com as informações fornecidas, temos:
6600 = P + P \vezes r \vezes \frac{27}{12}
e
6600 + 0,0075P = P + P \vezes r \vezes \frac{28}{12}
Resolvendo essas duas equações simultaneamente, obtemos:
P = 5488.56548
e
r = 0,9
Portanto, o capital inicial foi de 5.488,57 um e a taxa anual foi de 9%.
Frequently asked questions (FAQs)
Math question: What is the logarithm of 1000 to the base 10?
+
What is the factored form of 4x^2 - 12xy + 9y^2?
+
What is the product of 15 and the sum of 7 and 9?
+
New questions in Mathematics