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AlladinOne [14]
2 years ago
13

Terry has an investment account which compounds interest continuously at an annual interest rate of 1. 4%. After 3 years, he has

$1700 in the account. How much money did he initially place in the account? Round your answer to the nearest dollar. Do NOT round until you've calculated the final answer
Mathematics
1 answer:
Serggg [28]2 years ago
8 0

Answer:

  $1,630.08

Step-by-step explanation:

The value of an amount earning interest continuously compounded is given by the formula ...

  A = Pe^(rt)

The value of P can be found by dividing by its coefficient:

  P = A/(e^(rt)) = Ae^(-rt)

  P = $1700·e^(-0.014·3) ≈ 1630.0786

Terry placed $1,630.08 in the account.

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Answer:

The most obvious one i can think of would be

x = 13

Step-by-step explanation:

x + 8 = 21

x + 8-8 = 21-8

x = 13

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3 years ago
Find the sum
lakkis [162]

Answer:

Numerator = 2(b^2+a^2)    or equivalently 2b^2+2a^2

Denominator = (b+a)^2*(b-a), or equivalently b^3+ab^2-a^2b0-a^3

Step-by-step explanation:

Let

S = 2b/(b+a)^2 + 2a/(b^2-a^2)   factor denominator

= 2b/(b+a)^2 + 2a/((b+a)(b-a))     factor denominators

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= 1/(b+a) ((2b*(b-a) + 2a*(b+a))/((b+a)(b-a))   expand

= 1/(b+a)(2b^2-2ab+2ab+2a^2)/((b+a)(b-a))  simplify & factor

= 2/(b+a)(b^2+a^2)/((b+a)(b-a))  simplify & rearrange

= 2(b^2+a^2)/((b+a)^2(b-a))

Numerator = 2(b^2+a^2)    or equivalently 2b^2+2a^2

Denominator = (b+a)^2*(b-a), or equivalently b^3+ab^2-a^2b0-a^3

4 0
3 years ago
A basketball is shaped like a sphere as shown in the diagram. The basketball has a radius of 4.7 inches.
VMariaS [17]

Answer:

434.9

Step-by-step explanation:

The circumference is 29.53.

Hope that this helps!

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2 years ago
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