3 years ago

Which integer is the smallest -6, 0, 3,6 -3,4 -4

Mathematics

1 answer:

Lina20 [59]3 years ago

3 0

Answer:

-6

I hope this helps!

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Solve for X<br> 3(x + 7) < 7(x + 2)

Furkat [3]

Answer:

x > 7/4

Step-by-step explanation:

3(x + 7) < 7(x + 2)

Expand brackets: 3x + 21 < 7x + 14

Subtract 14 from both sides: 3x +7 < 7x

Subtract 3x from both sides: 7 < 4x

Divide both sides by 4: 7/4 < x

Therefore x > 7/4

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2 years ago

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You want $5000 4 years from nowfor a down payment for a car. How much money must be deposited monetly into an account earning 4.

timama [110]

Answer:

$95.5090 must be deposited monthly

Step-by-step explanation:

From the information given:

The annual interest rate (r) = 4.2% = 0.042

Let assume that an amount Y is deposited, then after one month, it will increase to:

$Y ( 1+ \dfrac{0.042}{12})$

The total amount after 4 years will be:

$= Y ( 1+ \dfrac{0.042}{12})^{48}+Y ( 1+ \dfrac{0.042}{12})^{47} +Y ( 1+ \dfrac{0.042}{12})^{46} +...+ Y ( 1+ \dfrac{0.042}{12})$

$= Y ( 1.0035)^{48}+Y ( 1.0035)^{47} +Y( 1.0035)^{46} +...+ Y( 1.0035)$

Using the sum of a geometric progression:

$= Y (1.0035) \dfrac{ (1.0035^{48}-1)}{(1.0035-1)}$

$= Y (1.0035) \dfrac{ (1.0035^{48}-1)}{0.0035}$

The above amount is then equal to $5000

i.e

$= Y (1.0035) \dfrac{ (1.0035^{48}-1)}{0.0035} = 5000$

$Y = \dfrac{5000\times 0.0035}{(1.0035)(1.0035^{48}-1)} \\ \\ \mathbf{Y = \$95.5090}$

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3 years ago

5. The number −6 is 2 more than an unknown number. Find the unknown number.

Mariana [72]

Answer:

-4

Step-by-step explanation:

-6 - 2 = -4

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3 years ago

Using lattice multiplication 45 times 68

Xelga [282]

The answer is 20,730

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Which inequality represents the problem? A duck can dive below sea level at a rate of 5 feet per second. How many seconds will i

jok3333 [9.3K]

it will take the duck 5.8 seconds to reach 29 feet of depth.

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3 years ago