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3 years ago

What is the next number in the sequence 5 10 3 15 20 13 25 30?

1 answer:

4 0

We are asked to determine the next numbers in the given sequence such as 5 10 3 15 20 13 25 30. In order for us to answer this problem, we need to find the difference between the two consecutive number and perform subtraction such as shown below:
For 5 and 10, the difference is -5
For 10 and 3, the difference is 7
For 3 and 15, the difference is -12
For 15 and 20, the difference is -5
For 20 and 13, the difference is 7
For 13 and 25, the difference is -12
For 25 and 30, the difference is -5

Now, we can identify the next two numbers in the sequence since we already know that the format of the difference is -5, 7 and -12. So the next numbers are the following:
30 - 7 = 23
23- (-12) = 35

Therefore, the sequence is 5 10 3 15 20 13 25 30 23 35

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What is the single rational number for -14+(-8/9)

AlladinOne [14]

-14 + (8/9)

(-126 - 8)/9

= -134/9

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3 years ago

Howie wants to get a car loan with 4% simple interest rate. If the car costs $25,000, how much would Howie need to pay back at t

likoan [24]

The amount Howie will pay back at the end of one year is $26000.00

The given parameters are:

$P =25000$ -- the principal amount

$R = 4\%$ -- the interest rate

$T=1$ --- the duration

The amount to pay back in this duration is then calculated using:

$A = P(1 + RT)$

So, we have:

$A = 25000(1 + 4\% \times 1)$

$A = 25000(1 + 4\% )$

Express percentage as decimal

$A = 25000(1 + 0.04)$

$A = 25000(1 .04)\\$

Multiply

$A = 26000$

Hence, the amount to pay back is $26000.00

Read more about simple interest at:

brainly.com/question/1115815

7 0

2 years ago

Amanda's earnings vary directly with the number of hours she works. Suppose that she worked 9 hours yesterday and earned 117. ho

alina1380 [7]

Answer:

Step-by-step explanation:

117/9 is 13 which means she earns 13 for each hour and for 7 hours it will be 13 multiply by 7 and that gives 91

6 0

3 years ago

2y=x+6 2y-x=6 how do i solve following the system of equations

Margarita [4]

$2y = x + 6 \\ \\ 1. \: 2y - 6 = x \\ 2. \: x = 2y - 6 \\ \\ \\ 2y - x = 6 \\ \\ 1. \: - x = 6 - 2y \\ 2. \: x = - 6 + 2y \\ 3. \: x = 2y - 6$

7 0

3 years ago

The function h(t)=-4.87t^2+18.75t is used to model the height of an object projected in the air, where h(t) is the height in met

rodikova [14]

Looking at the graph you can see that the domain of the function is:
[0, 3.85]
To find the range of the function, we must follow the following steps:
Step 1)
Evaluate for t = 0
h (0) = - 4.87 (0) ^ 2 + 18.75 (0)
h (0) = 0
Step 2)
find the maximum of the function:
h (t) = - 4.87t ^ 2 + 18.75t
h '(t) = - 9.74 * t + 18.75
-9.74 * t + 18.75 = 0
t = 18.75 / 9.74
t = 1.925051335
We evaluate the function at its maximum point:
h (1.925051335) = - 4.87 * (1.925051335) ^ 2 + 18.75 * (1.925051335)
h (1.93) = 18.05
The range of the function is:
[0, 18.05]
Answer:
Domain: [0, 3.85]
Range: [0, 18.05]
option 1

3 0

3 years ago