Christopher is getting a mortgage for a house and will borrow $700,000. For this mortgage, the amortized loan requires annual payments for 22 years at a 4.5% annual interest rate. How much of the first payment (to the nearest cent) is the interest owed for the first year of the loan?

Answers

Answer 1

Answer:

Answer:

Step-by-step explanation:

How to find the amount of interest owed for the first year of the loan?

To calculate the interest owed for the first year of the loan, we need to consider the loan amount, the annual interest rate, and the loan term.

In this case, borrowing $700,000 for 16 years at an annual interest rate of 7.4%.

The interest owed for the first year can be determined by multiplying the loan amount by the annual interest rate:

Interest = Loan Amount * Annual Interest Rate

Interest = $700,000 * 0.074

Calculating this, we find that the interest owed for the first year is approximately $51,800.30.

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Solve the equation the square root of the quantity x plus 3 plus 4 equals 5 for the variable.

Answers

Domain: expression under square root is greater or equal than zero.

x+3>0
x>-3

Then:

$√(x+3)}+4=5 \qquad |-4 \n \n √(x+3)=1 \qquad |(...)^2 \n \n x+3=1 \n \n x=-2 \in D$

So the answer is x=-2

Final answer:

By isolating the square root, squaring both sides to remove the square root, and then solving for x, the solution to the equation √(x + 3) + 4 = 5 is found to be x = -2.

Explanation:

To solve this equation, we start by isolating the square root. The equation given is √(x + 3) + 4 = 5. The first step is to subtract 4 from both sides of the equation to isolate the square root, resulting in √(x + 3) = 1.

Once the square root is isolated, we can square both sides of the equation to eliminate the square root, leading to x + 3 = 1² = 1.

Finally, subtract 3 from both sides, leaving us with the solution x = 1 - 3 = -2.

Learn more about Solving Equations here:

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What is the solution to the system of equations below?y=-6x-10
and
y=-3x-21
(2, -22)
(2,48)
(-2, 2)
(-2, -20)

Answers

Answer:

Please check the explanation.

Step-by-step explanation:

Given the equations

$y=-6x-10$

$y=-3x-21$

solving the system of the equations

Arrange the equation variables for elimination

$\begin{bmatrix}y+6x=-10\n y+3x=-21\end{bmatrix}$

$y+3x=-21$

$-$

$\underline{y+6x=-10}$

$-3x=-11$

$\begin{bmatrix}y+6x=-10\n -3x=-11\end{bmatrix}$

solve

$-3x=-11$

Divide both sides by -3

$(-3x)/(-3)=(-11)/(-3)$

$x=(11)/(3)$

$\mathrm{For\:}y+6x=-10\mathrm{\:plug\:in\:}x=(11)/(3)$

$y+6\cdot (11)/(3)=-10$

$y=-32$

Therefore, the solutions to the system of the equations are:

$y=-32,\:x=(11)/(3)$

But, it seems none of the options is true.

Answer:

A. (2, -22)

Step-by-step explanation:

I just took the test and i got a one hundred! I really hope it helped!!!!

THIS IS VERY URGENT PLS!!!

Answers

Answer:

The answer is A

Step-by-step explanation:

The answer is A because I had the same question and I got it right.

Kristin drew a triangle with 2 congruent sides and 1 obtuse angle. Which term accurately describes the triangle? Mark all that apply. A. Isosceles B. Scalene C. Acute D. Obtuse

Answers

The terms accurately describes the triangle which Kristin drew with 2 congruent sides and 1 obtuse angle are obtuse and isosceles triangle.

What are types of triangle?

A triangle is the closed polygon, which has three sides and three angles.

On the basis of angles of a triangle, the triangle can be divided into 3 types as,

Acute triangle-Acute triangle is the triangle, in which the all the three interior angle of the triangle measure less than 90 degree. If the sum of the square of the two littler sides is greater than the square of the third side, then it is an acute triangle.
Obtuse triangle-Obtuse triangle is the triangle, in which one of the interior angle of the triangle measure more than the 90 degree. . If the sum of the square of the two smaller sides is less than the square of the third side, then it is an obtuse triangle.
Right triangle-Right triangle is the triangle, in which one of the interior angle of the triangle measure equal to the 90 degree. If the sum of the square of the two smaller sides is equal to the square of the third side, then it is a right triangle.

Kristin drew a triangle with 2 congruent sides. This two equal sides make the triangle Isosceles.

Her triangle has 1 obtuse angle. This makes his triangle Obtuse. Thus, she drew an obtuse Isosceles triangle.

Thus, the terms accurately describes the triangle which Kristin drew with 2 congruent sides and 1 obtuse angle are obtuse and isosceles triangle.

Learn more about the type of triangle here;

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I believe it is obtuse and isosceles.

An experienced carpenter can frame a house twice as fast as an apprentice. Working together, it takes the carpenters 2 days. How long would it take the apprentice working alone?

Answers

We are required to calculate the number of days it would take the apprentice working alone

The number of days it takes the apprentice working alone is 6 days

let

Number of days taken for the carpenter to work alone = x

Number of days taken by the apprentice to work alone = 2x

Number of days taken to work together = 2 days

Work done per day Carpenter = 1/x

work done per day apprentice = 1/2x

work done per day together = 1/2

So,

work done per day together = Work done per day Carpenter + work done per day apprentice

1/2 = 1/x + 1/2x

1/2 = (2 + 1) / 2x

1/2 = 3/2x

cross product

1(2x) = 2(3)

2x = 6

x = 6/2

x = 3 days

Therefore,

Number of days taken by the apprentice to work alone = 2x

= 2(3)

= 6 days

brainly.com/question/11965590

Answer:

6 days

Step-by-step explanation:

Let the time taken by Carpenter working alone = $C$ days

Then time taken by apprentice alone = Twice as that of taken by Carpenter = 2 $C$ days

Time taken working together = 2 days

Work done in one day working together = $(1)/(2)$

Work done in one day by Carpenter working alone = $(1)/(C)$

Work done in one day by apprentice working alone = $(1)/(2C)$

Work done in one day by Carpenter working alone + Work done in one day by Carpenter working alone = $(1)/(C)$ + $(1)/(2C)$ = Work done in one day working together = $(1)/(2)$

$(1)/(C)+(1)/(2C)=(1)/(2)\n\Rightarrow (2+1)/(2C)=(1)/(2)\n\Rightarrow C = 3\ days$

Time taken by Carpenter alone to complete the work = 3 days

Time taken by Apprentice alone to complete the work = 3 $*$ 2= 6 days

Is 0.789 greater than 0.7 or less then it?

Answers

The answer is 0.789
So that means 0.789 is greater than 0.7
Hope this helps :)

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