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3 years ago

Evaluate 5y - 9 for y = 12

Mathematics

2 answers:

NARA [144]3 years ago

5 0

Answer:51

Step-by-step explanation: You plug in 12 for y 5 * 12 is 60, & 60-9 = 51.

Sonbull [250]3 years ago

3 0

(5 x 12)-9

60-9 = which equals 51

Check
51 +9=60

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What is the equation of the line that represents the horizontal asymptote of the function f(x)=25,000(1+0.025)^(x)?

posledela

Answer:

The answer is below

Step-by-step explanation:

The horizontal asymptote of a function f(x) is gotten by finding the limit as x ⇒ ∞ or x ⇒ -∞. If the limit gives you a finite value, then your asymptote is at that point.

$\lim_{x \to \infty} f(x)=A\\\\or\\\\ \lim_{x \to -\infty} f(x)=A\\\\where\ A\ is\ a\ finite\ value.\\\\Given\ that \ f(x) =25000(1+0.025)^x\\\\ \lim_{x \to \infty} f(x)= \lim_{x \to \infty} [25000(1+0.025)^x]= \lim_{x \to \infty} [25000(1.025)^x]\\=25000 \lim_{x \to \infty} [(1.025)^x]=25000(\infty)=\infty\\\\ \lim_{x \to -\infty} f(x)= \lim_{x \to -\infty} [25000(1+0.025)^x]= \lim_{x \to -\infty} [25000(1.025)^x]\\=25000 \lim_{x \to -\infty} [(1.025)^x]=25000(0)=0\\\\$

$Since\ \lim_{x \to -\infty} f(x)=0\ is\ a\ finite\ value,hence:\\\\Hence\ the\ horizontal\ asymtotes\ is\ at\ y=0$

5 0

3 years ago

The Fruitz fruit and vegetable shop is selling grapes at a price which is 10% cheaper than the Happy Fruiterer fruit and vegetab

sdas [7]

Answer:

(a) It costs $55 at Happy Fruiterer

(b) It will cost $49.64

Step-by-step explanation:

Since Fruitz shop sells as 10% less than Happy Fruiterer at $50

10% more of $50 = 50 × 10/100 + 50

= $5 + $50 = $55

(a) n Kg of grapes will cost $55 at Happy Fruiterer

(b) if Happy Fruits discounts $55 by 5%, we will have

55 × 5/100 = 2.75

that is $55 - $2.75 = $52.25

If it is discounted further at 5% more the following week, we will have

$52.25 × 5/100 = $2.6125

≈ $2.61

Then the new price for the 2nd week is $52.25 - $2.61

= $49.64

(c) at the second wee of discounting, Fruitz shop still sells at $50 will Happy Fruiterer now see at $49.64. Therefore, it is cheaper at Happy Fruiterer

8 0

3 years ago

I need help on this one please

zepelin [54]

Answer:

here is what i think

3 0

3 years ago

Simplified?

kap26 [50]

Answer:

Option B

Step-by-step explanation:

Given the following question:

In order to find the answer, we need to convert the scientific notation into standard notation and then simplify by subtracting the decimals. Then we convert the standard notation back into scientific notation.

$0.0007 - (4.9\times 10^{-7} )$
$4.9\times10^{-7} =0.00000049$
$0.0007-0.00000049$
$0.0007-0.00000049=0.00069951$
$=0.00069951$
$0.00069951=6.9951 \times10^{-7}$
$=6.9951 \times10^{-7}$

Your answer is "6.9951 × 10^-7" or option B.

Hope this helps.