solve the system of equations below by graphing both equations. what is the solution? y=x+5 y=-2x-1

The interest rate can drastically change the total amount paid to the lender, in the case of mortgages, up to thousands of dollars.The correct answer is c.

The interest rate of a loan is one of the most important factors to consider when shopping around for loans because it directly affects the cost of borrowing money. The interest rate determines the percentage of the loan amount that the borrower will have to pay back to the lender as interest over the loan's term.

A higher interest rate means that borrowers will have to pay more in interest over the life of the loan, increasing the total cost of borrowing. Conversely, a lower interest rate will result in lower interest payments and a reduced overall cost of the loan.

For example, in the case of a mortgage, which is a long-term loan, even a small difference in the interest rate can have a significant impact on the total amount paid to the lender. Over the course of a 30-year mortgage, a higher interest rate could result in thousands of dollars in additional interest payments.

Therefore, it is important to compare and consider different loan offers to find the best interest rate available. This can help borrowers save money and make more informed decisions about their borrowing options. The correct answer is c.

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Answer:

length=14 width=5

Step-by-step explanation:

since the length is 4 more then subtract 4*2=8 which would equal 30 divide that by two since a rectangle has 4 sides two of which are the same,

than divide it by the getting 5 which is the width.

subtract 5*2=10 from 38 which would = 28

28divided by 2 is the length which is 14

Answer:

The answer are

Width=5ft

Length=14ft

Step-by-step explanation:

P=2(L+B)

P/2=2(L+B)/2

P/2=L+B

L=4+2W

38/2=4+2W+W

19=4+3W

3W=19-4

3W=15

divide both sides by 3

3W/3=15/3

W=5ft

L=4+2W

L=4+2(5)

L=4+10

L=14ft

Answer:

its the second expression

Step-by-step explanation:

Answer:

B. 6w^2  Second option

Step-by-step explanation:

You are multiplying, therefore when a digit is next to a letter in a math expression. It means to multiply

$105 is higher than $100, the minimum Payment due on Josiah's credit card is $105.

The minimum payment due on Josiah's credit card 3% of his outstanding balance and compare it to the minimum payment of $100. The higher amount between the two will be the minimum payment.

1. Calculate 3% of $3,500:

3% * $3,500 = 0.03 * $3,500 = $105

2. Compare the calculated amount with the minimum payment of $100:

Minimum payment = max($105, $100)

Since $105 is higher than $100, the minimum payment due on Josiah's credit card is $105.

The credit card company sets a minimum payment to ensure that the cardholder makes regular payments towards their outstanding balance. The minimum payment is usually a percentage of the balance or a fixed amount, whichever is higher. In this case, the minimum payment is calculated as 3% of the outstanding balance or $100, whichever amount is greater.

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Answer:

595.

Step-by-step explanation:

Take $2000 and subtract $810 from it. You now have the total of the two pieces of equipment without the extra pricing. You should get $1,190. Then divide that number by 2. You will get $595.

1st Piece of Equipment = $595

2nd Piece of Equipment = $1,405

2nd Piece is $810 more expensive and the two pieces combined is $2,000.

Answer: x2 + 4x + 9 on top, with a remainder of r(x) = 30

Step-by-step explanation:

The remainder of the division of the given polynomial by (x +2) is; -165.

It follows from the task content that the remainder of the polynomial division is required.

On this note, the remainder of the division is the f(x) at x= -2.

f(-2) = 4(-2)⁵ + 5(-2)³ +3 = 4(-32) + 5(-8) + 3

f(-2) = -165.

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Answer: 580

Step-by-step explanation:

A fence is usually a rectangle shape in these questions

Perimeter of a rectangle is P = 2l + 2w

P = 2(170) + 2(120) = 580

Answer:

3x-8

Step-by-step explanation:

if 8 less than something it means subtract, example:

8 less than 21 = 13

and plus u said 3 times x and when multiplying by a variable(letter) you can put them together, example:

3 times x = 3x

The given statement can be written as expression as -

f(x) = 3x - 8

Given is the statement -

8 less than 3 times

We have -

Assume the number to be [x]. Then -

f(x) = 3x - 8

Therefore, the given statement can be written as expression as -

f(x) = 3x - 8

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Answer:

a)9. b) 12

Step-by-step explanation:

a) | -6 -3 | .

-6-3 = -9

|-9| =9

b) | 0 - 12 |.

0-12=-12

|-12|=12

Answer:

I don't know the answer sorry for the answer

Answer:

d . candle burns down 1 cm per hour .

Step-by-step explanation:

Answer:

D

Step-by-step explanation:

Got it correct

The missing quantities are

Social Security= $217

Medicare = $‭50.75‬

Net Pay is $‭2,633.67‬

First, Taxable income is therefore;

= 3,500 - (76.90 x 4 )

= $‭3,192.4‬0

Federal Income Tax (FIT).

With taxable income of $‭3,192.4‬0, the tax is $565.15 plus 28% of anything above $‭3,073.

= 565.15 + (28% x (‭3,192.4‬0 - 3,073))

= 565.15 + 33.43

= $‭598.58

and, Social Security

= Gross pay x 6.2%

= 3,500 x 6.2%

= $‭217‬

and, Medicare

= 3,500 x 1.45%

= $‭50.75‬

Then, the Net Pay

= 3,500 - 598.58 - 217 - 50.75

= $‭2,633.67‬

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The value of x in the similar triangle is 6 units.

Two triangles are said to be similar if their corresponding angles are congruent and the corresponding sides are in proportion .

Therefore, let's use the similarity ratio to find the value of x in the similar triangle as follows:

Hence,

5 / 40 = x / 48

48 × 5 = 40x

240 = 40x

divide both sides by 40

x = 240 / 40

x = 6

Therefore,

x = 6

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Answer:

what can I help with?

Step-by-step explanation:

what is your question

You would expect to pay $90 each month for electricity based on an average usage of 120 KWHs per month.

To calculate the monthly cost of electricity, you can multiply the average number of kilowatt-hours (KWH) used per month by the cost per KWH.

Given:

Cost per KWH: $0.75

Average monthly usage: 120 KWHs

To find the monthly cost, you can multiply the cost per KWH by the average monthly usage:

Monthly Cost = Cost per KWH * Average monthly usage

Plugging in the values, we have:

Monthly Cost = $0.75/KWH * 120 KWHs

Calculating the result:

Monthly Cost = $90

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The probability that both players show rock in the first round is 1/9 or 0.1111 (rounded to four decimal places).

In rock, paper, scissors there are three possible outcomes for each player: rock, paper, or scissors. Assuming both players choose randomly and independently of each other, each player has a 1/3 chance of showing rock in the first round.

To find the probability that both players show rock in the first round, we can use the multiplication rule of probability for independent events. The multiplication rule states that the probability of the intersection of two independent events is the product of their probabilities.

Therefore, the probability that both players show rock in the first round can be calculated as follows:

P(both show rock) = P(player 1 shows rock) x P(player 2 shows rock) P(both show rock) = 1/3 x 1/3 P(both show rock) = 1/9

So the probability that both players show rock in the first round is 1/9 or approximately 0.111.

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\(f(x)=2(3)^{x+1} \\\\[-0.35em] ~\dotfill\\\\ f(2)=2(3)^{(2)+1}\implies f(2)=2(3)^3\implies f(2)=2(3^3) \\\\\\ f(2)=2(27)\implies f(2)=54\)

The sequence that shows the numbers in order from least to greatest is D. 2.14 < 2.8 < 3.16227766017.

The sequence that shows the numbers in order from least to greatest is D. 2.14 < 2.8 < 3.16227766017.What is the meaning of the inequality symbols?The inequality symbols are mathematical symbols that are used to compare two values.

They indicate the relationship between two values that are not equal to each other. Here are the inequality symbols:

< (less than)≤ (less than or equal to)> (greater than)≥ (greater than or equal to)What is the meaning of the sequence?

A sequence is a set of numbers arranged in a particular order. The order of the numbers in a sequence can be from smallest to largest or largest to smallest.

The sequence D. 2.14 < 2.8 < 3.16227766017 is arranged from smallest to largest because the first number in the sequence, 2.14, is the smallest, and the last number in the sequence, 3.16227766017, is the largest.

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When the integer is approximated using the trapezoidal rule, the value would be D. 0. 645.

The formula for the trapezoidal rule is :

\(= T_n = \frac{b-a}{2n} \left[ f(a) + 2f(a+h) + 2f(a+2h) + ... + 2f(a+(n-1)h) + f(b) \right]\)

In this question, the values are given :

b = 1

a = 0

n = 5

h = ( b - a ) / n = ( 1 - 0  ) / 5 = 0. 2

\(f(x) = In ( \sqrt{(x + 3 )} )\)

The trapezoidal rule approximation for the integral is:

\(= T_5 = \frac{0.2}{2} \left[ f(0) + 2f(0.2) + 2f(0.4) + 2f(0.6) + 2f(0.8) + f(1) \right]\)

\(f(0) = In ( \sqrt{(0 + 3 )} ) = 0\\f(0.2) = In ( \sqrt{(0.2 + 3 )} ) = 0.346573\\f(0.4) = In ( \sqrt{(0.4 + 3 )} ) = 0.549306\\f(0.6) = In ( \sqrt{(0.6 + 3 )} ) = 0.693147\\f(0.8) = In ( \sqrt{(0.8 + 3 )} ) = 0.792481\\f(1) = In ( \sqrt{(1 + 3 )} ) = 0.881373\)

Substituting these values into the trapezoidal rule formula gives :

\(T_5 = \frac{0.2}{2} \left[ 0 + 2(0.346573) + 2(0.549306) + 2(0.693147) + 2(0.792481) + 0.881373 \right] \\= 0.645\)

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9514 1404 393

Answer:

  0.984

Step-by-step explanation:

Nine hundred eighty-four thousandths is 0.984.

__

The least-significant digit of the numerator goes in the number place with the place value 1/1000. The more significant digits are then placed to the left of that in the usual way.

9514 1404 393

Answer:

  5

Step-by-step explanation:

A calculator can be useful when you want to evaluate a numerical expression.

__

The applicable rules of exponents are ...

  a^-b = 1/a^b

  a^0 = 1 . . . . . . a≠0

__

Your expression evaluates to ...

  (1/5)^-1 × 4^0 = (5/1)^1 × 1 = 5

Answer:

6610

Step-by-step explanation:

We have tan(X) = opposite/ adjacent

tan(QBP) = PQ/BQ

tan(35) = PQ/BQ    ---eq(1)

tan(QAP) = PQ/AQ

tan(20) = \(\frac{PQ}{AB +BQ}\)

\(=\frac{1}{\frac{AB+BQ}{PQ} } \\\\=\frac{1}{\frac{AB}{PQ} +\frac{BQ}{PQ} } \\\\= \frac{1}{\frac{230}{PQ} + tan(35)} \;\;\;(from\;eq(1))\\\\= \frac{1}{\frac{230 + PQ tan(35)}{PQ} } \\\\= \frac{PQ}{230+PQ tan(35)}\)

230*tan(20) + PQ*tan(20)*tan(35) = PQ

⇒ 230 tan(20) = PQ - PQ*tan(20)*tan(35)

⇒ 230 tan(20) = PQ[1 - tan(20)*tan(35)]

\(PQ = \frac{230 tan(20)}{1 - tan(20)tan(35)}\)

\(= \frac{230*0.36}{1 - 0.36*0.7}\\\\= \frac{82.8}{1-0.25} \\\\=\frac{82.8}{0.75} \\\\= 110.4\)

PQ = 110.4

≈110

Height above sea level = 6500 + PQ

6500 + 110

= 6610

The correct expression which is not a rational expression,

⇒ (x+3)(2x-1) / (x+3)

We have to given that;

All the expressions are,

⇒ (x+3)(2x-1) / (x+3)

⇒ (3x²+3x) / (4x+5)

⇒ (3x+4√x-7) / (2x+2)

⇒ (2x²-3x³+5) / 5x

Since, A number which can be written in the form of fraction p / q , where q is non zero, are called Rational numbers.

Hence, We can simplify all the expressions as,

⇒ (x+3)(2x-1) / (x+3)

⇒ (2x - 1)

Hence, It is not a rational expression.

⇒ (3x²+3x) / (4x+5)

⇒ 3x (x + 1) / (4x + 5)

Hence, It is a rational expression.

⇒ (3x+4√x-7) / (2x+2)

⇒ (3x + 4√x - 7) / 2 (x + 1)

Hence, It is a rational expression.

⇒ (2x²-3x³+5) / 5x

Hence, It is a rational expression.

Thus, The correct expression which is not a rational expression,

⇒ (x+3)(2x-1) / (x+3)

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The regression equation is  mathematically given as

\(\=Y = 5 + 0.3 X\)

This is further explained below.

The line is passing through (0, 5) and (15, 10).

Generally, the equation for Slope  is  mathematically given as

\(S=\frac{ (10 - 5)}{(15 - 0) }\)

Therefore

S= 5/15

S= 1/3

S= 0.3

Intercept = 5

In conclusion,Regression equation:

\(\=Y = 5 + 0.3 X\)

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The cube root of -2i,

⇒ ∛2[ cos(π/6) + i sin(π/6) ]

We can represent -2i in polar form as,

r(cosθ + i sinθ)

by computing its magnitude and angle.

The magnitude of -2i is 2

Since the absolute value of any imaginary number is equal to its magnitude.

To find the angle θ,

We can use the fact that the tangent of an angle is equal to the ratio of the opposite side to the adjacent side.

In this case,

The opposite side is -2 and the adjacent side is 0.

Therefore, we have tanθ = -2/0, which is undefined.

However,

We can use the fact that the cube root of a complex number is equal to the cube root of its magnitude times exp(iθ/3) to find the cube root of -2i.

So, the cube root of -2i is equal to the cube root of 2 times exp(iθ/3).

Now, we need to find the value of θ/3. Since θ is undefined,

we will represent it as π/2 + 2πn,

where n is any integer.

So, θ/3 = (π/2 + 2πn)/3 = π/6 + 2πn/3.

Therefore, the cube root of -2i is equal to

⇒  ∛2 [ cos(π/6 + 2πn/3) + i sin(π/6 + 2πn/3) ]

Now put n = 0

⇒ ∛2[ cos(π/6) + i sin(π/6) ]

This is the final form of the cube root of -2i in the required form.

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The base-ten number for the number 29 is 29

The number is given as

29

The base of the above number is not stated

When the base of a number is not stated, then the base of the number is base 10

This means that the number 29 is in base ten

Hence, the base-ten number for the number 29 is 29

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Answer:

The vertex of the function \(f(x)=4x^{2} +4x+1\) is \((-\frac{1}{2} ,0)\)

Step-by-step explanation:

I've graphed this on desmos for a visual