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Cerrena [4.2K]
4 years ago
13

Which is the graph of the linear equation y = –one-fourthx + 3?

Mathematics
1 answer:
Aleksandr-060686 [28]4 years ago
7 0

Step-by-step explanation:

need the graph

but, it will cross y axis at 3 and line will be going down

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Money in a bank triples every 10 years. If $100 is deposited today, what will its value be after 40 years? PLEASE SHOW ME STEP B
LenKa [72]

Answer:

d) $8,100

Step-by-step explanation:

Given information:

  • Money triples every 10 years
  • Initial deposit = $100
  • Number of years invested = 40 years

If the money triples (multiplies by 3) every 10 years,
then in 40 years time it will triple <u>4 times</u>, as 40 ÷ 10 = 4

⇒ Account balance after 40 years = $100 × 3 × 3 × 3 × 3

                                                         = $100 × 3⁴

                                                         = $8,100

<u>Proof</u>

In 10 years time the balance of the account will be:

$100 x 3 = $300

In another 10 years time, the balance of the account will be:

$300 x 3 = $900

In another 10 years time, the balance of the account will be:

$900 x 3 = $2700

In another 10 years time, the balance of the account will be:

$2700 x 3 = $8100

7 0
2 years ago
In a shipment of 11 CD​ players, two are defective. Find the probability that a sample of 3 CD players will not contain any that
Lerok [7]

Answer:

54.8%

Step-by-step explanation:

P = nCr pʳ qⁿ⁻ʳ

P = ₃C₀ (2/11)⁰ (9/11)³

P = 0.548

8 0
4 years ago
In the number 3,865, how much less is the value of the 5 than the 6?
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The 5 is 12 times greater than the digit 6
divide 60 by 5
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8 ounces = 1 cup
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thair is 11264 ounces in 88 gallons

6 0
4 years ago
Find the area of the region bounded by the curves y= sin^-1(x/6), y=0, and x=6 obtained by integrating with respect to y. Your w
Ahat [919]
Check the picture below.

let's check where the quadratic and x = 6 meet, bear in mind we're integrating by "y", so

\bf y=sin^{-1}\left( \frac{x}{6} \right)\implies sin(y)=\cfrac{x}{6}\implies \boxed{6sin(y)=x}&#10;\\\\\\&#10;\begin{cases}&#10;6sin(y)=x\\&#10;x=6\\&#10;y=0\\&#10;x=0\leftarrow y-axis&#10;\end{cases}\\\\&#10;-------------------------------\\\\&#10;6sin(y)=6\implies sin(y)=\cfrac{6}{6}\implies sin(y)=1\implies \measuredangle \boxed{y=\frac{\pi }{2}}&#10;\\\\\\&#10;6sin(y)=0\implies sin(y)=0\implies \to  \boxed{\measuredangle y=0\ ,\ \pi }

\bf -------------------------------\\\\&#10;\displaystyle \int\limits_{0}^{\frac{\pi }{2}}\ [6-6sin(y)]dy\implies \left. \cfrac{}{} 3y^2+6cos(y) \right]_{0}^{\frac{\pi }{2}}&#10;\\\\\\&#10;\left[ \cfrac{3\pi 2}{4}+0 \right]-[0+6]\implies \cfrac{3\pi^2}{4}-6\approx 1.4022033

7 0
4 years ago
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