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gayaneshka [121]
2 years ago
11

Write down the nth term of this sequence... 8, 11, 14, 17, 20

Mathematics
1 answer:
bezimeni [28]2 years ago
6 0
Seems to be an arythmetic sequence
common difference is 3 (increases by 3 each time)

an=a1+d(n-1)
d=3
a1=8
an=8+3(n-1)
an=8+3n-3
an=3n+5
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The equation V = 16300 (0.94)^t represents the value (in dollars) of a car t years after its purchase. Use this equation to comp
Dafna1 [17]

Solution:

Given:

V=16300(0.94)^t

The value of a car after t - years will depreciate.

Hence, the equation given represents the value after depreciation over t-years.

To get the rate, we compare the equation with the depreciation formula.

\begin{gathered} A=P(1-r)^t \\ \text{where;} \\ P\text{ is the original value} \\ r\text{ is the rate} \\ t\text{ is the time } \end{gathered}

Hence,

\begin{gathered} V=16300(0.94)^t \\ A=P(1-r)^t \\  \\ \text{Comparing both equations,} \\ P=16300 \\ 1-r=0.94 \\ 1-0.94=r \\ r=0.06 \\ To\text{ percentage,} \\ r=0.06\times100=6\text{ \%} \\  \\ \text{Hence, } \\ P\text{ is the purchase price} \\ r\text{ is the rate} \end{gathered}

Therefore, the value of this car is decreasing at a rate of 6%. The purchase price of the car was $16,300.

5 0
10 months ago
This hyperbola is centered at theorigin. Find its equation.Foci: (-2,0) and (2,0)Vertices: (-1,0) and (1,0)
beks73 [17]

SOLUTION

From the question, the center of the hyperbola is

\begin{gathered} (h,k),\text{ which is } \\ (0,0) \end{gathered}

a is the distance between the center to vertex, which is -1 or 1, and

c is the distance between the center to foci, which is -2 or 2.

b is given as

\begin{gathered} b^2=c^2-a^2 \\ b^2=2^2-1^2 \\ b=\sqrt[]{3} \end{gathered}

But equation of a hyperbola is given as

\frac{(x-h)^2}{a^2}-\frac{(y-k)^2}{b^2}=1

Substituting the values of a, b, h and k, we have

\begin{gathered} \frac{(x-0)^2}{1^2}-\frac{(y-0)^2}{\sqrt[]{3}^2}=1 \\ \frac{x^2}{1}-\frac{y^2}{3}=1 \end{gathered}

Hence the answer is

\frac{x^2}{1}-\frac{y^2}{3}=1

5 0
1 year ago
Martin charges $10 for every 5 bags of leaves he rakes. Last weekend, he raked 2 bags of leaves. How much money did he earn?
Gnoma [55]
He earned 4 dollars. 
5 0
3 years ago
Read 2 more answers
ron walks 0.5 mile on track on the track in 10 minutes. stevie walks 0.25 mile on the track in 6 minutes. find the unit rate for
guapka [62]
Ron walks 1/2 mile in 10 minutes. There are six 10 minute intervals in an hour 60 divided by 10 is 6. So, therefore he can walk 1 mile in 20 minutes, 1/3 of an hour and a total of 3 miles per hour.
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Stevie walks 1/4 of a mile in 6 minutes, so that's 12 minutes to walk 1/2 mile. 60/12=5
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8 0
3 years ago
Answer correctly plz
Ne4ueva [31]

Answer:

1/3

Step-by-step explanation:

Use the Up/to left or right rule to help you

Find a start point (or the one the gave you (3,2)) and then follow the line to the next point that crosses exactly over where to points cross (where poth x and y would be whole numbers) count how many times the point moved up, then how many time it moved left. Put the first over the second in fraction form and there is your slope.

8 0
2 years ago
Read 2 more answers
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