Layla owes
$8,500 on her credit card. The bank charges a monthly interest rate of 1.525%. If Layla wants to pay off her credit card using equal monthly payments over the next 12 months, what would the monthly payment be, to the nearest dollar?

Answer:

x = 4

Step-by-step explanation:

2(x/4 + 8) = 18

First: Distribute 2 into "x/4 + 8".

2x/4 + 16 = 18

2x/4 = 18 - 16

1x/2 = 2

x/2 • 2 = 2 • 2

x = 4

P.S "•" means to multiply.

Hope This Helps! •v•

Answer:

\(\boxed{\boxed{\sf x=4}}\)

Step-by-step explanation:

\(\blacksquare \:\:\sf 2\left(\cfrac{x}{4}+8\right)=18\)

Divide both sides by 2:

\(\mapsto \sf \cfrac{2\left(\cfrac{x}{4}+8\right)}{2}=\cfrac{18}{2}\)

\(\mapsto \sf \cfrac{x}{4}+8=9\)

Subtract 8 from both sides:

\(\mapsto \sf \cfrac{x}{4}+8-8=9-8\)

\(\mapsto \sf \cfrac{x}{4}=1\)

Multiply both sides by 4:

\(\mapsto \sf \cfrac{4x}{4}=1\times \:4\)

\(\mapsto \sf x=4\)

The answer to that one is C

Answer:

A or c hopes this helps!!

The image coordinates of L′ if the preimage is translated 9 units up. is L'(-1, 11). option(B)

To determine the image coordinates of L' after the preimage is translated 9 units up, we need to add 9 to the y-coordinate of the original point L.

The coordinates of L are (-1, 2), and if we translate it 9 units up, the new y-coordinate will be 2 + 9 = 11. Therefore, the image coordinates of L' will be L'(−1, 11).

To understand the translation, we can visualize the polygon JKLM on a coordinate plane.

The original polygon JKLM has vertices J(-2, -5), K(-4, 0), L(-1, 2), and M(0, -1).

By translating the polygon 9 units up, we shift all the points vertically by adding 9 to their y-coordinates. The x-coordinates remain unchanged.

Applying this translation to the original coordinates of L(-1, 2), we obtain L' as follows:

L'(-1, 2 + 9) = L'(-1, 11). option(B)

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Answer: 1hr

Step-by-step explanation: Distance = speed × time

Time = Distance / Speed = 60/60

If Alex can pay $1,500 per month, it will take approximately 17.2 years to pay off the loan. If Alex can pay $2,000 per month, it will take approximately 11.8 years to pay off the loan.

To calculate the time it takes to pay off a loan, we can use the formula for the number of periods (n) in an annuity:

n = -log(1 - (r * P) / A) / log(1 + r)

where:

r = monthly interest rate

P = loan amount

A = monthly payment

Given:

Loan amount (P) = $180,000

Annual interest rate = 8%

Monthly interest rate (r) = Annual interest rate / 12 = 8% / 12 = 0.0066667 (rounded to five decimal places)

a. If Alex can pay $1,500 per month:

Monthly payment (A) = $1,500

Using the formula, we can calculate the number of periods (n):

n = -log(1 - (0.0066667 * 180000) / 1500) / log(1 + 0.0066667)

Calculating this equation will give us the number of periods (n) in months. To convert it to years, we divide by 12.

n = -log(1 - 0.08) / log(1.0066667)

n ≈ 205.875

Number of years = 205.875 / 12 ≈ 17.15625

Therefore, if Alex can pay $1,500 per month, it will take approximately 17.2 years to pay off the loan.

b. If Alex can pay $2,000 per month:

Monthly payment (A) = $2,000

Using the same formula:

n = -log(1 - (0.0066667 * 180000) / 2000) / log(1 + 0.0066667)

n ≈ 141.625

Number of years = 141.625 / 12 ≈ 11.80208

Therefore, if Alex can pay $2,000 per month, it will take approximately 11.8 years to pay off the loan.

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(Annuity number of periods) Alex Karev has taken out a $180,000 loan with an annual rate of 8 percent compounded monthly to pay off hospital bills from his wife Izzy's illness. If the most Alex can afford to pay is $1,500 per month, how long will it take to pay off the loan? How long will it take for him to pay off the loan if he can pay $2,000 per month? Use five decimal places for the monthly percentage rate in your calculations. years. (Round a. If Alex can pay $1,500 per month, the number of years it takes for him to pay off the loan is to one decimal place.)

Answer:

$70-$2x

Step-by-step explanation:

In the beginning, your friend spent $30 on interference and food, leaving him or her $70.

Since every ride costs $2, you multiply the amount of rides he rode by 2 to get how much he spent.

He subtracted that from the money he had which was $70.

Therefore, the equation is $70 - $2x

If cholesterol level were changed to being measured in grams instead of milligrams, the correlation between fat content and cholesterol level would not be affected.

This is because correlation is a measure of the strength and direction of the linear relationship between two variables, and converting the units of measurement does not change the underlying relationship between the variables. So, the correlation coefficient of 0.75 would remain the same whether cholesterol level is measured in milligrams or grams.

The correlation between fat content and cholesterol level for the 20 different brands of American cheese slices is 0.75. If you change the measurement of cholesterol level from milligrams to grams (1 gram = 1000 milligrams), it will not affect the correlation. The correlation coefficient will remain 0.75, as it is unit-less and only represents the strength and direction of the relationship between the two variables.

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The information given about the probability shows that the cardinality of D is 18.

From the complete information, the number of red-colored cards is 26.

Also, the number of red-colored number cards will be 18.

The cardinality of a set is a measure of a set's size, meaning the number of elements in the set.

Here, the cardinality of set D is 18.

Here is the complete question:

Take a deck of playing cards. Form following sets out of those:

A = Set of Face Cards

B = Set of Red Coloured Face cards

C = Set of Black Coloured Face Cards

D = Set of Red Coloured Number Cards

Find the Cardinality of set D

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Answer:

b.) 5t+1-4t^2/t^2(t+1)

Step-by-step explanation:

Answer:

X=75

Y=110

Step-by-step explanation:

A straight line is 180, so add the equations that make a line and set them equal to 180

x+20+x+10=180

Combine like terms

2x+30=180

Subtract 30 from both sides

2x=150

Divide by 2

X=75

Same for y

y+y-40=180

2y-40=180

Add 40 to both sides

2y=220

Divide by 2

Y=110

Answer:

n(a): 6

n(a b): 4

n(a c) : 10

n (a b c): 8

n (a b c): 8

n (a b c): 8

Hope it helps :) Brainliest pls

Answer:

$14400

Step-by-step explanation:

Using the formula for calculating the simple interest expressed as;

SI = Principal * Rate * Time/100

Given

Principal = $6000

Rate = 12%

Time = 20 years

Substitute into the formula;

SI = 6000 * 12 * 20/100

SI = 60*12*20

SI = 14,400

hence the interest worth after 20years will be $14400

Answer:

1135.28

Step-by-step explanation:

1102 * (1.02) = 1124.04

1124 * (1.01) = 1135.28

To decode the cryptogram, we need to multiply the matrix A by the column vector [3, 2, 6] using matrix multiplication.

Each entry in the resulting vector corresponds to a letter in the decoded message.

Let's perform the matrix multiplication:

A =

[1 1 3]

[1 1 4]

Column vector: [3, 2, 6]

A * [3, 2, 6] = [24, 24, 77, 73, 57, 176, 46, 33, 104, 74, 56, 188, 29, 21, 63, 32, 27, 86, 85, 63, 203, 68, 48, 144, 74, 51, 153, 90, 67, 213, 37, 25, 76, 60, 48, 145, 94, 69, 207, 72, 54, 175, 30, 25, 77, 33, 28, 84]

The resulting vector represents the ASCII values of the characters in the decoded message. Converting these ASCII values back to their corresponding letters, we obtain the decoded message:

"SEMPTEMBER THE ELEVENTH WILL ALWAYS REMEMBER"

Please note that the decoded message may contain additional spaces or punctuation marks that are not present in the original matrix representation.

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Answer:

x=11/28, y=-11/4

Step-by-step explanation:

<3 sorry i might be late but here,

Answer:

Step-by-step explanation:

You want to know how to determine the y-intercepts of a rational function, and their possible number.

A rational function f(x) is the ratio of two polynomial functions p(x) and q(x):

  f(x) = p(x)/q(x)

As such, both numerator and denominator have single function values for any value of the independent variable. The y-intercept of f(x) is ...

  f(0) = p(0)/q(0)

The values of p(0) and q(0) are simply the constant terms in those respective functions.

The simple way to find the y-intercept is to look at the ratio of the constant terms in the polynomial functions making up the rational function. If that is defined, there is one y-intercept. If it is undefined (q(0)=0), then there are no y-intercepts.

<95141404393>

 3.00

- 2.50

-----------

0 .5 0

PLEASE MARK THIS ANSWER THE BRAINLIEST

The sequence of transformations used to show the congruence of polygons JKLMN and PQRST is to reflect PQRST across the y-axis and then translate the result down 10 units.

We are given two polygons. Both the polygons are congruent, and to prove it, we can use the concept of transformations. The first transformation we need to perform is to reflect the polygon PQRST across the y-axis. The next transformation that needs to be performed is to translate the result down by 10 units. We find that the polygon PQRST now coincides with the polygon JKLMN. Hence, it is proved that the polygons are congruent to each other.

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Fundamental Theorem of Differentiation value of g'(x) when g(x) = Sx 0 √6-5t²dt is -x / (6 - x²) + ∫[0 to √6-x²] x / \((6 - t^2)^{(3/2)}\) dt.

To determine g'(x), we need to find the derivative of g(x) with respect to x.

g(x) = ∫[0 to √6-x²] √(6 - t²) dt

Let's use the Fundamental Theorem of Calculus to differentiate g(x):

g'(x) = d/dx [∫[0 to √6-x²] √(6 - t²) dt]

Using the Chain Rule, we can write:

g'(x) = (√(6 - x²))' × √(6 - x²)' - 0

Now, we need to find the derivatives of √(6 - x²) and √(6 - x²)':

√(6 - x²)' = -x / √(6 - x²)

√(6 - x²)" = \(-(x^2 + 6 - x^2)^{(-3/2)}\) * (-2x)

Simplifying, we get:

√(6 - x²)' = -x / √(6 - x²)

√(6 - x²)" = x / \((6 - t^2)^{(3/2)}\)

Substituting these values, we get:

g'(x) = [(-x / √(6 - x²)) × √(6 - x²)] - ∫[0 to √6-x²] × / \((6 - t^2)^{(3/2)}\) dt

Simplifying, we get:

g'(x) = -x / (6 - x²) + ∫[0 to √6-x²] × / \((6 - t^2)^{(3/2)}\) dt

Therefore, g'(x) = -x / (6 - x²) + ∫[0 to √6-x²] × / \((6 - t^2)^{(3/2)}\) dt.

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Answer:

x = 11.8

Step-by-step explanation:

base of the building and the ground are at 90° to one another.

angle of elevation is 50°. so the angle between building and top of ladder must be 180 - 90 - 50 = 40°.

this is the angle opposite the length x.

50° is opposite height 14.

x/sin 40  =  14/sin 50

x = (14 X sin40)/ sin 50

x = 11.8

The total number of visitors to the zoo that day=3980.

Given:

cost of each ticket for an adult=$25

cost of each ticket for an adult=$10

Total ticket sales one day=$47,750.

⇒$25+$10=47,750

⇒25+10=47,750-----(1)

Also,

c=6a+270

6a-c=-270------(2)

multiplying eq(2) with 10 we get:

60a-10c=-2700----(3)

Adding eq(1) and eq(3) we get

25a+10c=47,750

60a-10c=-2700

--------------------------

85a=45050

--------------------

To calculate a value just divide 45050 by 85 we get

a=45050/85

a=530

Now to get the value of c substitutes a value.

c=60(530)+270

c=3450

Number of Adult visitors=530

Number of children visitors=3450

Total Number of visitors=3980.

Therefore, the total number of visitors to the zoo that day=3980.

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Step-by-step explanation:

the slope of a line is expressed as the ratio y/x indicating how many units y changes, when x changes a certain amount of units.

AB changes from B to A : x 1 unit (from 3 to 4), y 1 unit (from 1 to 2).

slope = 1/1 = 1

CD changes from C to D : x 7 units (from -6 to 1), y 1 unit (from 0 to 1).

slope = 1/7

the 2 lines are neither parallel nor perpendicular.

parallel lines have the same slope, which is not the case here.

the slopes of perpendicular lines are the inverse ratios with alternating sign. like 3 and -1/3.

but this does not apply to 1 and 1/7.

The probability that they are both left-handed is 0.01

Probability is the number of ways of achieving success.

the total number of possible outcomes.

Probability takes values between 0 (no chance) and 1 (certain) inclusive.

Complement Rule (probability that an event doesn't occur): P(A') = 1 - P(A) .

Addition rule: P(A ∪ B) = P(A) + P(B) – P(A ∩ B) .

Multiplication rule: P(A ∩ B) = P(A) × P(B) for independent events. P(A ∩ B)

For both, the persons selected at random are left-handed

10 % out of 100 % are left-handed.

Hence the probability that the person is left-handed

P(L) = 10 /100 = 1 / 10 = 0.1

where P(L) is the probability that the person is left-handed.

Therefore both the persons selected are left-handed

= 0.1 * 0.1

= (0.1)^2

= 0.01

Hence the probability that they are both left-handed is 0.01.

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Answer:

Arc=26\(\pi\)/9 yds

Step-by-step explanation:

In previous problems, I recited that the arc formula is this:

Arc= degree x \(\pi\)/180 x radius

Let's plug in the numbers shall we?

Arc=130 x  \(\pi\)/180 x 4

Arc=13\(\pi\)/18 x 4

Arc=26\(\pi\)/9 yds

Answer:

c=50

Step-by-step explanation:

Answer:

c = 50

Step-by-step explanation:

-0.2 multiplied by 50 would give you -10.

The given statement is is not correct because if you round the answer to the nearest tenth it would not make it a close answer.

According to the statement

we have to search out that the given statements are the proper or not, and if they're correct then we've got explain the explanation for this.

So, For this purpose, we all know that the

From the given information:

The statement which is given are:

Miguel received a $50 gift card to a bookstore. He would love to shop for 3 books that cost $15.75 each including tax. He estimates that he cannot buy all three books because each book costs about $20, and every one three books would cost $50.

And now after analyzing this, we are able to say that the

no,his answer isn't correct because if you around the answer to the closest tenth it'd not make it an in depth answer.

3*15.75 = 47.25

which is a smaller amount than the 50 dollars.

So, The given statement is is not correct because if you round the answer to the nearest tenth it would not make it a close answer.

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Using compound interest, it is found that:

\(A(t) = P\left(1 + \frac{r}{n}\right)^{nt}\)

In this problem:

Then, the balance is:

\(A(5) = P\left(1 + \frac{r}{n}\right)^{nt}\)

\(A(5) = 5000\left(1 + \frac{0.03}{4}\right)^{4(5)}\)

\(A(5) = 5804\)

With interest compound quarterly, the balance is of Php 5,804.

Now, with annual interest, we have that \(n = 1\), and:

\(A(5) = P\left(1 + \frac{r}{n}\right)^{nt}\)

\(A(5) = 5000\left(1 + \frac{0.03}{1}\right)^{1(5)}\)

\(A(5) = 5796\)

With interest compound annually, the balance is of Php 5,796.

Due to the higher balance, the quarterly compound gives the higher interest.

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Answer:

Step-by-step explanation:

Given,

5x + 6 = 1

=> 5x = 1 - 6

=> 5x = -5

\( = > x = \frac{ - 5}{5} \)

=> x = -1 (Ans)