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3 years ago

9

Evaluate the following expression using the values given: Find 2x - 3y - z if x = -2, y = 3, and z = -2

1 answer:

Romashka [77]3 years ago

5 0

<span>2x - 3y - z
Substitute the variables for the numbers provided for them
</span><span>2(-2) - 3(3) - (-2)
Multiply 2 by -2
-4 - 3(3) - (-2)
Multiply -3 by 3
-4 - 9 - (-2)
Subtract 9 from -4
-13 - (-2)
Convert Subtract -2 from -13. It would be the same as adding 2 to -13.
Final Answer: -11</span>

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Answer:

15.2 inches

Step-by-step explanation:

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3 years ago

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4 years ago

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soldi70 [24.7K]

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Step-by-step explanation:

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3 years ago

Read 2 more answers

Solve for p: -9 + p < 15 <br> A. p > 24 B. -p > 6 C. p < 24 D. -p < -6

Soloha48 [4]

Answer:

C. In the given expression -9 + p < 15 , the value of p < 24.

Step-by-step explanation:

Here, the given expression is :

-9 + p < 15

Now, solving for the value of p.

If equals are added to both sides of inequality, the inequality remains unchanged.

Now, -9 + p < 15

⇒ -9 + p + 9 < 15 + 9 (adding +9 on both sides)

or, p < 24

Hence, in the given expression -9 + p < 15 the value of p < 24.

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3 years ago

Your bank account is sitting on $14,000. You started with a principal balance of $12,500. If the interest rate was 4.5% compound

Simora [160]

Answer:

$t=2.5\ years$

Step-by-step explanation:

we know that

The formula to calculate continuously compounded interest is equal to

$A=P(e)^{rt}$

where

A is the Final Investment Value

P is the Principal amount of money to be invested

r is the rate of interest in decimal

t is Number of Time Periods

e is the mathematical constant number

we have

$t=?\ years\\ P=\$12,500\\P=\$14,000\\ r=4.5\%=4.5/100=0.045$

substitute in the formula above and solve for t

$14,000=12,500(e)^{0.045t}$

Simplify

$14,000/12,500=(e)^{0.045t}$

$1.12=(e)^{0.045t}$

Apply ln both sides

$ln(1.12)=ln[(e)^{0.045t}]$

$ln(1.12)=(0.045t)ln(e)$

Remember that

$ln(e)=1$

so

$ln(1.12)=(0.045t)$

$t=ln(1.12)/(0.045)$

$t=2.5\ years$

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4 years ago