Mr hower can buy a computer with a down payment of 510$ and 8 monthly payments of 35.75 if he pays cash for the computer the cost is 699.99$ how much will he save if he pays cash the computer instead of paying for it in monthly payments

Final answer:

Deborah ran a total of 7 3/5 miles combined on Monday and Tuesday. This was determined by adding 3 2/5 miles and 4 1/5 miles together after converting them to improper fractions.

Explanation:

On Monday, Deborah ran 3 2/5 miles and on Tuesday she ran 4 1/5 miles. To find the total distance Deborah ran over these two days, we need to add the two distances together. When working with mixed numbers, it's often easiest to convert them to improper fractions before adding.

3 2/5 miles is the same as (3 × 5 + 2)/5 = 17/5 miles.
4 1/5 miles is the same as (4 × 5 + 1)/5 = 21/5 miles.

Adding these two fractions:

17/5 miles + 21/5 miles = (17 + 21)/5 miles

= 38/5 miles

= 7 3/5 miles

So, Deborah ran a total of 7 3/5 miles on Monday and Tuesday combined.

The ratio that is not equivalent to 6:10 is 24/45, as it simplifies to 8/15 instead of 3/5 like the other options.

To determine which of the given ratios is not equivalent to 6:10, we can simplify the ratio 6:10 or convert it to a fraction and then reduce it to its simplest form. In fraction form, 6:10 can be written as 6/10, which simplifies to 3/5 when both the numerator and the denominator are divided by their greatest common divisor, which is 2.

Therefore, the ratio that is not equivalent to 6:10 is 24/45.

You calculate this by first understanding that '28 tens' means 280, and then dividing 280 by 4. So, 28 tens divided by 4 equals 70.

The phrase '28 tens' refers to 28 multiplied by 10, 28 x 10 = 280.

To find the result of dividing this by 4, we calculate 280 ÷  4 = 70.

Therefore, 28 tens divided by 4 equals 70.

A line is said to be perpendicular to another line if the two lines intersect at a right angle. An angle is said to be a right angle if its measure is 90 degrees.

The question is asking us to select the option which best describes a perpendicular lines.Among all the options given option B states :Lines that meet at a 90* angle.

Option B is the right answer.

The perpendicular lines are those lines that meet at a 90* angle. That is option B.

Perpendicular lines are those lines that meet at an angle of 90°. To further explain the perpendicular lines, a diagram above is used.

Line AB is perpendicular to XY because AB and XY intersect each other at 90°.

Some of the characteristics of perpendicular lines include:

Therefore, perpendicular lines are those lines that meet at a 90* angle.

Learn more about perpendicular lines here:

https://brainly.com/question/11728330

Answer:

yeet

Step-by-step explanation:

To find dy/dx of the equation 4x^3 - 3xy^2 + y^3 = 28 at the point (3,4), you can use implicit differentiation and solve for dy/dx.

To find dy/dx of the equation 4x^3 - 3xy^2 + y^3 = 28 at the point (3,4), we need to use implicit differentiation. We differentiate both sides of the equation with respect to x, treating y as a function of x. Thus, we get:

12x^2 - 3y^2 - 3x(2y(dy/dx)) + 3y^2(dy/dx) = 0

Now we substitute x = 3 and y = 4 into the equation and solve for dy/dx:

12(3)^2 - 3(4)^2 - 3(3)(2(4)(dy/dx)) + 3(4)^2(dy/dx) = 0

Answer:

[tex]tan^-1( v)  - \frac{1}{2} ln(1+{v}^2) +c[/tex] is the answer.

Step-by-step explanation:

∫[tex]\frac{1-v}{1+{v}^2} \\\frac{1}{1+{v}^2}- \frac{v}{1+{v}^2}}[/tex]

∫[tex]\frac{dv}{1+{v}^2}[/tex]-∫[tex]\frac{2v}{1+{v}^2}[/tex]dv

[tex]{tan}^{-1} (v)-\frac{1}{2} ln(1+{v}^2) +c[/tex]

The total number of eggs in the carton is 12, as there are 2 rows with 6 eggs each, and you calculate the total by multiplying these two numbers.

Paco buys a carton with 2 rows of eggs and there are 6 eggs in each row.

To find the total number of eggs in the carton, you multiply the number of rows by the number of eggs in each row: 2 rows× 6 eggs per row equals a total of 12 eggs in the carton.

So, in this case, the number is 12, and the unit is eggs.

Refer to the image attached.

Given: [tex]\angle BAC[/tex] and [tex]\angle BCA[/tex] are congruent.

To Prove: [tex]\Delta ABC[/tex] is an isosceles triangle.

Construction: Construct a perpendicular bisector from point B to line segment AC.  Label the point of intersection between this perpendicular bisector and line segment AC as point D.

Proof:

Consider [tex]\Delta BDA, \Delta BDC[/tex]

[tex]\angle BDA = \angle BDC= 90^\circ[/tex]

(By the definition of perpendicular bisector)

[tex]AD=DC[/tex] (By the definition of perpendicular bisector)

So, Line segment AD is congruent to DC by the definition of perpendicular bisector.

[tex]\angle BAC[/tex] = [tex]\angle BCA[/tex] (given)

So,  [tex]\Delta BDA \cong \Delta BDC[/tex] by ASA congruence postulate.

∆BAD is congruent to ∆BCD by the ASA congruence Postulate.

Line segment AB is congruent to line segment BC because corresponding parts of congruent triangles are congruent (CPCTC).

So, Option C is the correct answer.

Final answer:

The values of m and n that satisfy the equation 15 - 28i = 3m + 4ni are m = 5 and n = -7 after equating and solving the real and imaginary parts separately.

Explanation:

To find the values of m and n that make the equation 15 - 28i = 3m + 4ni true, we must equate the real parts and the imaginary parts of both sides of the equation separately. The real part of the left side of the equation is 15, and the imaginary part is -28i. Similarly, for the right side, the real part is 3m, and the imaginary part is 4ni.

Equate the real parts: 15 = 3m
Dividing both sides by 3, we get m = 5.

Equate the imaginary parts: -28i = 4ni
Dividing both sides by 4i, we get n = -7.

Hence, the values that satisfy the equation are m = 5 and n = -7.