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Gekata [30.6K]
3 years ago
7

What is the compound interest if $470 is invested for 9 years at 10% compounded continuously?

Mathematics
1 answer:
disa [49]3 years ago
4 0

Compound interest formula

P = the principal (the initial amount)  

r=  annual

interest rate (

expressed

as a decimal)


expressed

as a decimal)

annual

interest rate (

expressed

as a decimal)  

n=

number of

interest periods  

per year  

(see the  

table below

for more information)  

t=

number of years

P is invested  

A=amount after t  

years

If investment interest rate is  

compounded monthly

, then n = 12  

If investment interest rate is  

compounded quarterly

, then n = 4  

If investment interest rate is

compounded semi-annually

, then n = 2

If investment interest rate is  

compounded annually

, then n = 1

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Answer:

Angle CED must also measure 60°. 

Because angle m is shown to be congruent to angles ABC and CDE, this means that angle m has a measure of 60 degrees.

There can only be 180 degrees in a triangle, so the measure of angle ACB must be 180-60-60, which equals 60 degrees.

Using the Vertical Angles Theorem, the measure of angle ACB is the same as the measure of angle CED.

Therefore, angle CED measures 60°.

Step-by-step explanation:

m, because Triangle ABC is similar to triangle EDC

m over 2, because Triangle ABC is congruent to triangle DCE

m + 60 degrees, because Triangle ABC is similar to triangle DCE

120 degrees − m, because Triangle ABC is congruent to triangle DCE


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