Use the explicit formula an=a1 (n-1)d to find the 500th term of the sequence below.24,31,38,45,52,..

Answers

Answer 1
Answer: First off...the right formula is an=a₁+(n-1)d
an=nth term=500th term
a₁=first term=24
n=common difference=31-24=7
n=500
an=24+(500-1)7
   =24+(499)7
   =24+ 3493
   =3517
The 500th term is 3517
Answer 2
Answer:

Answer:

3517

Step-by-step explanation:


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Add the fractions and simplify the answer: 1/2 + 2/3

Answers

The simplification of the fraction would be; 7/6.

What is a fraction?

A fraction represents a part of a number or any number of equal parts. There is a fraction, containing numerator(upper value) and denominator(lower value).

Therefore, first convert the denominator (bottom n umber) to the same number.

1/2 and 2/3 then the numbers are 2 and 3

the least common multiple is 6

To convert is multiply each by bottom number of the other over the other;

1/2 +2/3

1/2 x 3/3 + 2/3 x 2/2

3/6 + 4/6

(7)/6

7/6

Hence, the simplification of the fraction would be; 7/6.

Learn more about fraction;

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Solve picture question. Mathematics.

Answers

The slope intercept form is
y = mx + c
4x + 9y = -36

We should rearrange to keep it in y = mx + c order
And therefore we do this:

take the x to the other side

9y = -4x - 36

Divide both sides by 9 to be y alone

(9y)/(9)(4x - 36)/(9)
9 and 9 cancels out

y = -(4x)/(9) - 4

The first option is the answer

Roberta has a balance of $4350 on a credit card with an APR of 30.2% paying off her balance in which of these lengths of time will result in her paying the least amount of interest?

Answers

Answer:

8 months

Step-by-step explanation:

yurrr

If four times a number plus 3 is 11, what is the number?A. 4
B. 5
C. 16
D. 2

Answers

It is very important to readthe question very minutely before going for solving the problem.
Let us assume the unknown number to be = x
Then
4x + = 11
4x = 11 -3
4x = 8
x = 8/4
   = 2
So we can see from the above deduction that the unknown number is 2. The correct option among all the options given in the question is option "D". I hope the procedure is clear enough for you to understand.

Given f(x) = 3x – 5, what is f(–4)?A.7

B.-6

C.one-third

D.-17

Answers

Answer:
-17

Working
Replace -4 in the place of x in the function f(x)
F(-4)= 3(-4) - 5
f(-4) = -12 -5
f(-4)= -17

Help ASAP i will give brainliest

Answers

Answer: Point D

Step-by-step explanation:

Answer:

Point D

Hope it helps! <3