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Bumek [7]
3 years ago
5

URGENT!! Given the inequality, the test point (2,-8) .... a) b) c) d)

Mathematics
1 answer:
sattari [20]3 years ago
3 0

Answer:

B

Step-by-step explanation:

let's see, I'd the point on the line/boundary ?

for this we use the equality part (and use the coordinates of the point as x and y) :

-8 = 2×2² - 5×2 - 6 = 8 - 10 - 6 = -2 - 6 = -8

correct.

this proves that the point is on the line defined by the equation.

and that means it is on the boundary of the inequality.

because that inequality contains the boundary in the solution region (hence the >= relation instead of just >), we cannot use that point to determine which side of the boundary (incl. the boundary line, but still) is the solution region.

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Jimmy invests $2500 in an account with a 5% interest rate, making no other deposits or withdrawals. What will Jimmy’s account ba
Alik [6]

Answer:

We conclude that the total amount accrued, principal plus interest,  from compound interest on an original principal of  $2500 at a rate of 5% per year compounded 6 times per year over 8 years is $3723.38.

Step-by-step explanation:

Given

Principle P = $2500

Interest rate r = 5% = 0.05

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To determine

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Using the compound interest equation

A\:=\:P\left(1\:+\:\frac{r}{n}\right)^{nt}

where:

A represents the Accrue Amount

P represents the Principal Amount

r represents the interest rate

t represents the time period in years

n represents the number of compounding periods per unit t

Important tip:

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now substituting P = 2500, r = 0.05, t = 8 and n = 6 in the equation

A\:=\:P\left(1\:+\:\frac{r}{n}\right)^{nt}

A=2500\left(1+\frac{0.05}{6}\right)^{\left(6\right)\left(8\right)}

\:A=2500\left(1+\frac{0.05}{6}\right)^{48}

A=2500\times 1.48935      ∵  \left(1+\frac{0.05}{6}\right)^{48\:\:}=1.48935

A=\:3723.38 $

Therefore, we conclude that the total amount accrued, principal plus interest,  from compound interest on an original principal of  $2500 at a rate of 5% per year compounded 6 times per year over 8 years is $3723.38.

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