Ms. Etienne deposited $450 into an account that paid 5% interest compounded annually. She did not make any additional deposits or withdrawals.
Which amount is closest to the value of the account at the end of 6 years?
A $603.04
B $585.00
© $463.67
o
$463.50

$603.04

Step-by-step explanation:

The Compound Amout formula is A = P(1 + r)^t, where:

P is the principal (initial deposit), r is the annual interest rate as a decimal fraction, and t is the time period in years.

In this particular case, the Compound Amount is:

A  = ($450)(1 + 0. 05)^6 = ($450)(1.34) = $603.04

x = ±sqrt(10)

step-by-step explanation:

5 - 2x² = -15

subtract 5 from each side

5-5 - 2x² = -15-5

-2x^2   = -20

divide by -2 on each side

-2x^2   /-2= -20/-2

x^2 =10

take the square root on each side

sqrt(x^2 )=±sqrt(10)

x = ±sqrt(10)

check:

5 - 2x² = -15

+sqrt(10)

5 - 2(sqrt(10))² = -15

5 -2(10) = -15

5 -20 = -15

-15 = -15

-sqrt(10)

5 - 2(-sqrt(10))² = -15

5 -2(10) = -15

5 -20 = -15

-15 = -15

c. 27 units.

step-by-step explanation:

we are told that in circle a, ∠bae ≅ ∠dae.

we can see from our given diagram that in and ;

, as these are radii of our given circle.

therefore, by sas congruence postulate.

hence, side be will be equal to side de as corresponding parts of congruent triangles are congruent. so we can set an equation to find the value of x as:

now let us substitute x=17 in the expression for the length of be.

therefore, length of be will be 27 units and option c is the correct choice.