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Minchanka [31]
3 years ago
13

a total of $21,000 is invested in two bonds that pay 4% and 7.5% simple interest. The bond with 7.5 % interest rate earned 6 tim

es as much interest. as the bond with a 4 % interest. rate. how much is invested in each bond? what was the total interest earned?
Mathematics
1 answer:
hjlf3 years ago
4 0
21000=a+b
ax.075xt=6xbx.04xt
t cancels out
a=3.2b
21000= 3.2b+b
21000=4.2b
b=5000
a=16000

account with 7.5% had 16000 invested in it.
account with 4% had 5000 invested in it
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Answer:

The explicit formula for the geometric sequence is c(n) = -40\cdot \left(\frac{1}{2} \right)^{n-1}.

Step-by-step explanation:

By definition of geometric sequence, we should use the following expression:

c(n) = c_{1}\cdot r^{n-1}, n \ge 1 (1)

Where:

c_{1} - First term.

r - Geometric rate.

n - Position of the element within the series.

If we know that c_{1} = -40 and r = \frac{1}{2}, then the explicit formula for the geometric sequence is:

c(n) = -40\cdot \left(\frac{1}{2} \right)^{n-1}

The explicit formula for the geometric sequence is c(n) = -40\cdot \left(\frac{1}{2} \right)^{n-1}.

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4 0
3 years ago
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answer
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