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Sati [7]
3 years ago
6

Ugh I’m having trouble with rounding.. How can I round these two separate numbers 0.08 and 0.0609375 to the nearest tenth please

? Whenever I try to do it I keep getting the answer wrong.
Mathematics
1 answer:
Tanzania [10]3 years ago
4 0

Answer:

0.08 = 0.1

0.0609... = 0.1

Step-by-step explanation:

Rounding to the nearest tenth means the first decimal space. 4 and under round down. 5 and up round up.

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Jace purchases a new motorcycle for $8000. The bike depreciates 12% every year.
Alex777 [14]

Answer:

We know that the original price of the bike was $8,000.

After one year, the price of the bike decays a 12%, then the new price of the bike is:

P(1) = $8,000*( 1 - 12%/100%) = $8,000*(1 - 0.12)

After another year, the price again decays a 12%, the new price will be:

P(2) = $8,000*(1 - 0.12)*(1 - 12%/100%) = $8,000*(1 - 0.12)*(1 - 0.12) = $8,000*(1 - 0.12)^2

We already can see the pattern here, after t years, the price of the bike will be:

P(t) = $8,000*(1 - 0.12)^t

With this equation, we can find the price of the bike after 5 years, where we only need to replace t by 5

We will get:

P(5) = $8,000*(1 - 0.12)^5 = $4,221.9

The price of the bike after 5 years is  $4,221.9.

Now we want two equations to represent this, so we need another.

This is kinda trivial, because there is only one equation that represents this, so we only can rewrite our equation in another form.

We could say that the price of the bike after t years is:

P(t) = $8,000*(0.88)^t

or something like:

P(t) = $7040*(0.88)^(t - 1)

Where i multiplied the initial value by 0.88, and then reduced the exponent by one.

3 0
2 years ago
determine the volume of the rectangular prism that is 7.3 centimeters by 8.5 centimeters by 4.2 centimeters​
Drupady [299]

Answer:

hi again

Step-by-step explanation:

V=7.3×8.5×4.2=260.61 cm

hope it helps

have a nice day

7 0
3 years ago
The measures of two complementary angles are m angle 1 = (10x+7) and m angle 2=(9x-12) find the measures of both angles
USPshnik [31]

Answer:

m<1 = 57°

m<2 = 33°

Step-by-step explanation:

To find the numerical measure of both angles, let's come up with an equation to determine the value of x.

Given that m<1 = (10x +7)°, and m<2 = (9x - 12)°, where both are complementary angles, therefore, it means, both angles will add up to give us 90°.

Equation we can generate from this, is as follows:

(10x + 7)° + (9x - 12)° = 90°

Solve for x

10x + 7 + 9x - 12 = 90

Combine like terms

19x - 5 = 90

Add 5 to both sides

19x = 90 + 5 (addition property not equality)

19x = 95

Divide both sides by 19

x = 5

m<1 = (10x +7)°

Replace x with 5

m<1 = 10(5) + 7 = 50 + 7 = 57°

m<2 = (9x - 12)

Replace x with 5

m<2 = 9(5) - 12 = 45 - 12 = 33°

5 0
3 years ago
Prove that if xy &gt; 0, then either x &gt; 0 and y &gt; 0 or x &lt; 0 and y &lt; 0
Rufina [12.5K]

The rule of product states that:

  • (+) \cdot (+) = (+)
  • (+) \cdot (-) = (-)
  • (-) \cdot (+) = (-)
  • (-) \cdot (-) = (+)

So, a product is positive if and only if both factors have the same sign, and is negative if only if the factors have opposite sign.

7 0
3 years ago
Chris has 150 cookies to sell each cookie is covered with one topping 1 /5 of cookie are covered with coconut 1/3 of the cookie
Elan Coil [88]

Answer:

1/6 or 25

Step-by-step explanation:

1/3=10/30

3/10=9/30

1/5=6/30

together is 25/30, which leaves the rest, 5/30 or 1/6 or 25 cookies.

3 0
3 years ago
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