If $5700 is invested in a savings account which interest is compounded annually and if the 5700% turns into $6100 in 12 years, what is the interest rate of the savings account? ?

r=0.57%

Step-by-step explanation:

if $5700 is invested in a savings account which interest is compounded annually

$5700 turns into $6100 in 12 years

Compound interest formula is

P is the principal

r is the rate of interest

t is the time period

A is the amount in account after t years

P= 5700, A= 6100, t=12

divide by 5700 on both sides

take 12th root on both sides

now subtract 1 on both sides

r=0.00567

to get interest rate in percentage we multiply by 100

r=0.00567 * 100= 0.57%

geometry: triangles

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answers archive

call the larger triangle abc

then the smaller triangle cde is similar to abc (all angles are equal, aaa).  

ab is the side that is 36, and we wish to find de, the side corresponding to ab

area_cde = area_abc - area_cde --> area_abc / area_cde = 2

let x=length of de

ratio of areas = (ratio of sides)^2

+2+=+%2836%2fx%29%5e2+

+2+=+1296%2fx%5e2+

++x%5e2+=+1296%2f2+=+648+

25.45584

c.

step-by-step explanation:

substitution for (0,1)

y=x^2+4x+1

1=0^2+4(x)0+1

1=0+4(x)0+1

1=4(x)0+1

1=0+1

1=1

substitution for (-3,-2)

y=x+1

-2=-3+1

-2=-2