Sujay maxed out his credit card at $5,000. The interest rate is 11.75%. Using an online calculator, Sujay determines that if he stops using the card and pays $400 per month for the next 14 months, he will pay off his debt. How much interest will Sujay have paid when his credit card balance is $0

Answers

Answer 1

Answer: His debt is 5000 dollars with 11.75% interest rate.
Now, he used online calculator and realize that he needs 14 months to pay off his debt paying 400 dollars per month
=> 400 * 14 months = 5 600 dollars.
His debt is only 5000, thus he paid 600 for interest

Answer 2

Answer:

Answer:

600$

Step-by-step explanation:

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Determine the direction in which the parabola opens, and the vertex. y =x2 + 6x + 14

Write the product in standard form. (2p+5)(2p-5)

Answers

Answer:

4p² - 25

Step-by-step explanation:

given

(2p + 5)(2p - 5)

each term in the second factor is multiplied by each term in the first factor, that is

2p(2p - 5) + 5(2p - 5) ← distribute both parenthesis

= 4p² - 10p + 10p - 25 ← collect like terms

= 4p² - 25 ← in standard form

Final answer:

The product of the expressions (2p+5)(2p-5) in standard form, based on the difference of squares formula, is 4p² - 25.

Explanation:

The problem asked is to write the product in standard form for the expression (2p+5)(2p-5). Understanding this problem requires knowledge of the algebraic formula (a+b)(a-b) = a² - b² - this is known as the difference of squares.

By applying this formula to the given expression where a is 2p and b is 5, the product simplifies to (2p)² - (5)².

By squaring each of these terms individually, we get 4p² - 25. Hence, the product of the expressions (2p+5)(2p-5) in standard form is 4p² - 25.

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Suppose y = 48 + 3(2n - 1) is an explicit representation of an arithmetic sequence for integer values n ≥ 1. Find the xth partial sum of the series, as a quadratic function, where x represents the term number.

Answers

Answer: 3x2 + 51x

Step-by-step explanation:

$a_n=48+3(2n-1)$

The formula of the sum of the arithmetic sequence:
$S_n=(a_1+a__n)/(2)\cdot n$
calculate:
$a_1=48+3(2\cdot1-1)=48+3=51$
substitute
$S_n=(51+48+3(2n-1))/(2)\cdot n=(99+6n-3)/(2)\cdot n=(96+6n)/(2)\cdot n=3n^2+48n$
Your answer is:
$\boxed{f(x)=3x^2+48x}$

For each pair of mathematical expressions, determine if the expressions have equal values. Select each pair of expressions that came out to be equal.Please note, not all pairs will come out to the same value. We want you to determine if the expressions in each answer option have the have the same value.

Question options:

36÷3+3 and 22+2
36
÷
3
+
3

a
n
d

2
2
+
2

−(23)2and 49
-
(
2
3
)
a
n
d

4
9

8(−9) and −12−60
8
(
-
9
)

a
n
d

-
12
-
60

1+24 and 1−14

Answers

this doesn’t make sense you can really see the options

URGENT! PLEASE HELP!if the train from milan, italy to rome, italy takes 6 hours at a speed of 130 mph, how many miles from milan is rome?

Answers

Answer:

780 miles :)

Step-by-step explanation:

Alright, so in one hour, the train goes 130 miles, right?

So, in 6 hours, the train would simply go 130 * 6 = 780 miles! :)

A bag contains 5 yellow marbles, 7 pink marbles, and 3 purple marbles. Gordon selects a marble without looking. What is the probability that he selects a yellow marble or a purple marble? A.8/15
B.1/15
C.7/15
D.2/45

Answers

5/15 x 3/15 = 1/3x 1/5 = 1/15

B is the answer.

Hope i become the brainliest

Philip played a board game, and he drew 4 straight cards that read, “Go back 8 spaces.” What is the change in Philip’s position on the game board?

Answers

The change in Philip's position on the game board is 32 spaces backward.

What is the change in Philip’s position on the game board?

Each card says, "Go back 8 spaces," so for each card drawn, Philip moves back 8 spaces on the game board. Since he drew 4 cards, we can calculate the total change in his position as follows:

Change in position = Number of cards drawn * Spaces moved back for each card

Change in position = 4 * 8

Change in position = 32

So, the change in Philip's position on the game board is 32 spaces backward.

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