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Anika [276]
3 years ago
11

How many terms of the arithmetic sequence {-4,-2, 0, ....} will give a sum of 500?

Mathematics
1 answer:
IrinaK [193]3 years ago
3 0

Answer:

a. 25

Step-by-step explanation:

Sₙ = n/2 * (2 * a₁ + (n-1) * d)

Sₙ = 500     a₁ = -4    d = 2

500 = n/2 * (-8 + (n-1) * 2) = n/2 * (-8 + 2n - 2) = n/2 * (2n - 10) = n² -5n

n² - 5n -500 = 0

(n - 25) (n + 20) = 0

n > 0

n = 25

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Monique says that the sine of angle A is 5/13. Her teacher marks her wrong, but sometimes Monique’s teacher makes mistakes when
spin [16.1K]

Answer:

yes because

Step-by-step explanation:

this point, we pause to see if it makes sense that we actually have two viable cases to consider. As we have discussed, both candidates for are ‘compatible’ with the given angle-side pair ( ;a) = (30 ;3) in that both choices for can t in a triangle with and both have a sine of 2 3. The only other given piece of information is that c= 4 units.

4 0
3 years ago
George wrote an integer. The opposite of George’s integer is -53. Which of these statements about George’s integer must be true?
vlabodo [156]

The George's integer must be true for option D)I and IV.

What is integer?

 A full number (not a fraction) that can be positive, negative, or zero is called an integer . -5, 1, 5, 8, 97, and 3, 043 are some examples of integers. 1.43, 1 3/4, 3.14, and other numbers are examples of non-integer numbers. Integer, which means full or whole in Latin, is the root of the English term integer. A particular category of numbers called integers includes zero, positive numbers, and negative numbers. All whole numbers, both negative and positive, and 0 are considered integers.

Here the opposite of George integer is -53.

We know that opposite value of x is -x.

Then George integer is 53.

George integer must be true for The given options I. the integer is 53 and IV.The integer has absolute value of 53.

Therefore the correct option is  D) I and IV.

To learn more about integer refer the below link

brainly.com/question/13723636

#SPJ9

5 0
1 year ago
Tran currently makes? $4,500 per month in gross income. he has a student loan payment of? $250 per month and a car loan of? $450
zloy xaker [14]
To help you get started:  Add together the monthly payments.  Divide this sum by the given gross income.  Here we'd get $1000/$4500, or 10/45, or 22.2%, and Tran's remaining income after debts would be $4500-$1000 = $3500. 

You will have to review your class notes and/or textbook to determine "the largest piti for which he could qualify," based upon these figures.




4 0
3 years ago
(30pts)
AURORKA [14]

y = a(1-r)^×

source: https://mathbitsnotebook.com/Algebra2/Exponential/EXGrowthDecay.html

y = exponential decay

a = initial amount = 78000

r = decay rate = .03

x = number of time intervals = w

Error:

b = growth/ decay factor

b = 1+r for growth

b = 1-r for decay

x = w per the above information

Sarah did not account for either of these points when creating her equation.

Correct solution:

y = 78000 (1-.03)^w

7 0
3 years ago
Solve these simultaneous equations:<br><br> 2x + 4y = 38<br><br> 7x - 4y =7
vichka [17]

Answer:

Step-by-step explanation:

4 0
3 years ago
Read 2 more answers
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