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Sidana [21]
3 years ago
13

The registration fee for a used car is 0.8% of the sale price of $5,700. How much is the fee?

Mathematics
2 answers:
Rainbow [258]3 years ago
6 0
This would simply be 0.008 * 5700, because %'s are out of 100.
So the fee would be $45.60
kow [346]3 years ago
5 0
5700 : 100 * 0.8 =
45.60 $

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Geometry (15)<br><br> What are the properties of the incenter of a triangle?
aleksklad [387]
The incenter of a triangle is equidistant from all sides of the triangle

The incenter is the center of the biggest circle that can be drawn in the triangle, and is called incircle

The incircle will be tangent to all sides of the triangle.

Observation:
In an equilateral triangle the incenter, circumcenter, and centroid are all the same

3 0
4 years ago
Help me please!!
Setler [38]

Answer:

3.A

2.59 %

3.B

.16 x 2,000 = 320

6 0
4 years ago
An = a1 + (n - 1)d
yarga [219]

Answer:

The car will travel 1980 meters in 15 minutes.

Hence, option 'D' is true.

Step-by-step explanation:

Given that a car travels 300 meters in the first minute, so

  • a₁ = 300

Each minute after, the car travels 120 meters. , so the sequence becomes

a₁, a₂, a₃, a₄, a₅, ...

300, 420, 540, 660, 780, ...

An arithmetic sequence has a constant difference 'd' and is defined by  

a_n=a_1+\left(n-1\right)d

computing the differences of all the adjacent terms

20-300=120,\:\quad \:540-420=120,\:\quad \:660-540=120,\:\quad \:780-660=120

The difference between all the adjacent terms is the same and equal to d=120

now, we have

  • a₁ = 300
  • d = 120

so substituting a₁ = 300 and d = 120 in the nth term of the sequence

a_n=a_1+\left(n-1\right)d

a_n=120\left(n-1\right)+300

a_n=120n+180

Thus, the nth term of the sequence is:

a_n=120n+180

<u>Determining the distance the car travels in 15 minutes</u>

As we have already determined the nth term of the sequence such as

a_n=120n+180

now substituting n = 15

a_{15}=120\left(15\right)+180

a_{15}=1800+180

a_{15}=1980

Therefore, the car will travel 1980 meters in 15 minutes.

Hence, option 'D' is true.

6 0
3 years ago
Decide whether or not each equation represents a proportional relationship. A.The remaining length (L) of 120-inch rope after x
bulgar [2K]

Answer and Step-by-step explanation: An equation represents proportional relationship when dividing the quantities of the equation results in a quotient that is always the same. For example, in general:

Equation: y = mx

\frac{y}{x} = m

m is a constant value, which means is the same.

A. Equation: 120 - x = L

Equation from alternative A is NOT proportional since the division of the quantities doesn't result in a constant.

B. Equation: 1.08p = t

Dividing total cost per item's price, will always give the sales tax, which is constant. So, this equation IS proportional.

\frac{t}{p}=1.08

C. Equation: x=\frac{m}{4}

This equation is proportional because dividing marbles per how much each sister gets, always gives the number of sisters:

\frac{m}{x}=4

D. Equation: V=12s^{2}

This equation is NOT proportional because side length is squared, so it is not constant linearly.

8 0
3 years ago
I need the slope for this
stira [4]

Answer:

Slope: 7

Step-by-step explanation:

y=mx+b

substitute what you know

7=m

3 0
3 years ago
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