Mathematics, 25.08.2019 02:30 keldrykmw4

Mary deposited $350 in a bank account that promises 2.8 percent interest compounded continuously. approximately how many years will it take to reach a balance of $500?

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You use the formula
A= Pe^rt for continuously compounded interest.
500=350e^(.028*t)
Divide both sides by 350
(10/7)=e^(.028t)
Take the natural log of both sides to clear the e.
Ln (10/7)=.028t
Divide both sides by .028
Ln (10/7)/.028 =t
12.75 years

Answer from: dashaefairley2

The time taken to reach the balance is approximately 13 years.

Step-by-step explanation:

Given : Mary deposited $350 in a bank account that promises 2.8 percent interest compounded continuously.

To find : How many years will it take to reach a balance of $500?

Solution :

The formula of compounded continuously is

$A=Pe^{rt}$

Where, A is the amount A=$500

P is the principal P=$350

r is the interest rate r=2.8%=0.028

t is the time in year.

Substitute the values in the formula,

$500=350\times e^{0.028\times t}$

$\frac{500}{350}=e^{0.028\times t}$

$1.42=e^{0.028\times t}$

Taking log both side,

$\ln 1.42=0.028\times t$

$0.356=0.028\times t$

$t=\frac{0.356}{0.028}$

t=12.71

The time taken to reach the balance is approximately 13 years.

Answer from: Quest

Intersecting secant-tangent theorem states that if a tangent segment and a secant segment are drawn to a circle from an exterior point, then the square of the measure of the tangent segment is equal to the product of the measures of the secant segment and its external secant segment.so to break it down: 1. pq acts as the tangent and ps as the secant with an intersection at p.sr = 21rp = 3x + 3pq = 4x + 4following to equation: tangent squared = the two segments multiplied by each otherso (4x + 4) ^ 2 = (3x + 3) • (21) simplifies to 16x^2 - 31x - 47 = 0 or (16x - 47)(x + 1) x = -1 or x = 47/162. pq acts as the tangent and ps as the secant with an intersection at p (again! )sr = 16rp = xpq = 15(15) ^ 2 = 16 • x225 = 16xx = 225/163. the interesting chords are proportional to each other so a ratio is possible to set up: ap dp 10 3 + x = = —— = pc pb 8 xcross multiple to get 10x = (3 + x)(8)x = 12

Answer from: Quest

4th option is correct xy=-10

if this was to u plzz mark me the brainliest

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