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Ierofanga [76]
2 years ago
10

Jason Aldeen bought a house for $275,000. He made a down payment of 15%. The interest rate is 4.2% for 15 years.

Mathematics
1 answer:
Tpy6a [65]2 years ago
3 0

Answer:

Step-by-step explanation:

Jason's down payment= $41250

Amount he needs to borrow is

275000-41250 = $233750

Jason's monthly payment would be

248476.25/180 = $1380.42

The original cost of the house that Jason Aldeen bought is $275,000. He made a down payment of 15%. This means he paid 15% of the original cost of the house. Therefore,

Jason's down payment is 15% of $275000

= 15/100 × 275000 =0.15×275000

=$41250

Since Jason's down payment is smaller than the original cost of the house, he would need to borrow.

Amount he needs to borrow is

275000-41250 = $233750

If Jason borrows $233750 at a rate of 4.2% for 15 years

Total interest on $233750 for 15 years will be

= (233750×4.2×15) /100

= 14726250/100 = $14726.25

Total amount to be paid for 15 years will be amount borrowed + interest

=233750 + 14726.25 = $248476.25

Converting 15 years to months,

15 × 12 months = 180 months.

Jason's monthly payment would be

248476.25/180 = $1380.42

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Lubov Fominskaja [6]

Answer:

a) 2nd container is more efficient and contains the elements for a container.

b) The cylinder has a........A)Smaller surface area B)bigger C)equal

And will cost.....A)Less to produce B)more C)The same

Step-by-step explanation:

a) The 2nd container has these elements:

Width 20.5cm

Length 6.5cm

side 3.25cm

So, the volume in cubic cm is 20.5 x 6.5 x 3.25 = 433cm3.

This container can hold the 300cm3 of juice.

b) A cylinder is a geometric solid common in everyday life.  Examples of a cylinder are soup cans, food tins, drink cans, candles, toilet paper rolls, cups, aerosol cans, flower vases, test tubes, fire extinguishers, plant containers, salt shakers and pencil holders.  The two ends are called bases, and are usually circular.  Though, they can take other shapes.  When a cylinder is unrolled and flattened out, the side is actually a rectangle.

The surface area of a cylinder is the surface area of each end plus the surface area of the side.  The mathematical formula is 2π * r2, where π is the pie and r is the radius of the end and r2 is r squared..

6 0
2 years ago
Emery looks out their apartment window to the building across the way. The building isknown to be 42 feet tall. The angle of dep
Amanda [17]

Answer:

x=44.5ft

Step-by-step explanation:

From the question we are told that:

Height h=42ft

Angle of depression \theta=27\textdegree

Angle of Elevation \alpha=23 \textdegree

Generally the equation for the vertical distance between Emery's distance x and the bottom of the building  is mathematically given by

Since the angle of depression and elevation are given as

27 and 23 respectively

Therefore

Emery's view of the 42 ft building is

\gamma=23+27

\gamma=50  \textdegree

Therefore Emery's distance x to the base of the building h' is

h'=\frac{27}{50}*42

h'=22.68ft

Generally the Trigonometric equation for Emery's distance x is mathematically given by

x=\frac{h'}{tan\theta}

x=\frac{22.68}{tan 27}

x=44.5ft

6 0
1 year ago
Josiah, the manager of a pet store, bought 72 oz of water conditioner to use in his fish tanks. His small tanks would require 2
Aleksandr [31]
Given that t<span>he x-axis represented the number of small tanks and the y-axis represented the number of large tanks.

Given that </span>h<span>is small tanks would require 2 oz of conditioner and his large tanks would require 6 oz of conditioner and there are a total of 72 oz of water conditioners available.

The line representing the various combinations of </span>tanks he could put the water conditioner into is given by 2x + 6y = 72.

Since, t<span>he manager labeled only the intercepts.

The x-intercept is the value of x when y = 0 and is given by

2x + 6(0) = 72

x = 72 / 2 = 36

Thus, the x-intercept is (36, 0)

</span>
<span>The y-intercept is the value of y when x = 0 and is given by

2(0) + 6y = 72

y = 72 / 6 = 12

Thus, the x-intercept is (0, 12)

Therefore, the points labeled by the manager are: (0, 12) and (36, 0)
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4 0
2 years ago
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Artemon [7]

Answer:

38%

Step-by-step explanation:

Option: 38%.

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Probability = [number of odd numbers other than nine] / [total number of numbers] = 57/150 = 0.38

0.38 = 38%

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Lori ran the distances shown in the table. write the total distance in miles as a fraction in simplest form
daser333 [38]
0.35+0.2+.25
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