Suppose that you have a $2,000 balance on a credit card with a 7.99% annual interest rate, and you can afford to pay $150 per month toward this debt. a. Find the amount of time it takes to pay off this debt. Give your answer in months and years.
b. Calculate the total amount paid over the life of the debt.

Answers

Answer 1
Answer:

Answer:

loan is paid in 1 year 3 months

total amount paid over life = $2101.35

Step-by-step explanation:

given data

balance = $2,000

annual interest rate = 7.99%

afford to pay = $150 per month

solution

we apply formula for amount of time to pay off debit is

amount(1+ (rate)^t) - principal( (1-(1+rate)^t)/(-rate) ) = 0    ...........1

here rate is (0.0799)/(12) per month

and t is time that is find here

put here all value

2000(1+ ((0.0799)/(12))^t) - 150( (1-(1+(0.0799)/(12))^t)/(-(0.0799)/(12)) ) = 0

(1+ (0.0799)/(12))^t ((799)/(9000)  - 1 ) = -1

take log both side

t × log ( 1+ (0.0799)/(12) ) = - log ( (8201)/(9000) )

t = 14.009

so loan is paid in 1 year 3 months

and

total amount paid over life of debit is

total amount paid over life = $14.009 × 150

total amount paid over life = $2101.35


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The solution of an equation with two variables X and y is

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Answer:

The solution of an equation with two variables (x and y) is an ordered pair (x, y).

Step-by-step explanation:

Which property is illustrated by the following statement? if hxa =rgi, then rgi =hxa

Answers

Answer:

Symmetric property of equality is illustrated by the following statement.

if hxa =rgi,

then;

rgi =hxa

Step-by-step explanation:

Symmetric property of equality states

if x = y

then

y = x

As per the statement:

If hxa =rgi

by symmetric property of equality;

rgi=hxa

Therefore, symmetric property of equality is illustrated by the following statement.

Answer:

Symmetric

Step-by-step explanation:

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If a right angle triangle has a hypotenuse of length 13 units and a leg of length 7 units, what would be the length of the other leg?

Answers

The length of the other leg of a right angle triangle is, 10.95 units

What is mean by Triangle?

A triangle is a three sided polygon, which has three vertices and three angles which has the sum 180 degrees.

Given that;

A right angle triangle has a hypotenuse of length 13 units and a leg of length 7 units.

Now, By the Pythagoras theorem, we get;

⇒ Hypotenuse² = Perpendicular² + Base²

⇒ 13² = 7² + Base²

⇒ 169 = 49 + Base²

⇒ Base² = 169 - 49

⇒ Base² = 120

⇒ Base = √120

⇒ Base = 10.95 units

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Pythagorean theorem: A² + B² = C²
(7)² + B² = 13²;
49 + B² = 169;
B² = 130;
B = 11.40
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A bin has 382 red, yellow, blue and green balls. It has three times as many red balls as yellow balls, 52 more blue balls than yellow balls, and 30 fewer green balls than red balls. How many green balls does it have?

Answers

The bin containing 382 red, yellow, blue and green balls have a total of 32 green balls.

Let x represent the number of red balls, y represent the number of yellow balls and z represent the number of green balls.

Since ther is a total of 382 balls, hence:

x + y + z = 382   (1)

There is three times as many red balls as yellow balls:

y = 3x

3x - y = 0    (2)

52 more blue balls than yellow balls, hence:

z = y + 52

- y - z = -52    (3)

Solving equations 1,  2 and 3 gives x = 62, y = 186, z = 134

Hence there are 62 red balls, 186 yellow balls and 134 blue balls

Green balls = 62 - 30 = 32 balls

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Final answer:

To find the number of green balls, you need to create equations using the given information. By solving the equations, the bin is determined to have 150 green balls.

Explanation:

To find the number of green balls, we need to consider the given information and create equations to solve for the number of green balls. Let's define the number of yellow balls as 'y'.

From the first statement, we know that there are 3 times as many red balls as yellow balls. Therefore, the number of red balls is 3y.

From the second statement, we know that there are 52 more blue balls than yellow balls. So, the number of blue balls is y + 52.

From the third statement, we know that there are 30 fewer green balls than red balls. So, the number of green balls is 3y - 30.

We can set up an equation: 3y + y + 52 + 3y - 30 = 382. Solving for 'y', we get y = 60.

Substituting the value of 'y' back into the equation for the number of green balls, we find that the bin has 3(60) - 30 = 150 green balls.

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PLEASE HELP I'LL GIVE BEAINLIEST!!!!! ​

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Answer:

9 2/3

Step-by-step explanation:

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Jimmy’s age is one year less than the sum of the ages of his siblings Serena and Tyler. Which equation represents Jimmy’s age?A. look at the picturex represents Tyler’s age, y represents Serena’s age, and z represents Jimmy’s age
B. look at the picturex represents Jimmy’s age, y represents Tyler’s age, and z represents Serena’s age
C. look at the picturex represents Serena’s age, y represents Jimmy’s age, and z represents Tyler’s age
D. look at the picturex represents Jimmy’s age, y represents Serena’s age, and z represents Tyler’s age

Answers

i think it is d because the questions says: j-1+s+t