Ralph Chase plans to sell a piece of property for ​$150000. He wants the money to be paid off in two ways a - ​short-term note at ​11% interest and a​ long-term note at 8​% interest. Find the amount of each note if the total annual interest paid is ​$15200
.

Answers

Answer 1

Answer:

Amount on 11% note = $106,666.67

Amount on 8% note = $43,333.33

Step-by-step explanation:

Let the amount for the ​short-term note at ​11% interest be x.

Thus, the amount for the ​short-term note at ​8% interest will be (150000 - x)

Now we are told that the total interest paid is $15,200.

Thus;

0.11x + 0.08(150000 - x) = 15200

0.11x + 12000 - 0.08x = 15200

Rearranging gives;

0.03x = 15200 - 12000

0.03x = 3200

x = 3200/0.03

x = $106666.67

Thus, amount for 8% note = $150000 - $106666.67 = $43,333.33


Related Questions

which one is the answer

Answers

Answer:

Two

Step-by-step explanation:

A stack of 500 pieces of paper is 1.9 inches tall. How thick is each piece of paper?

Answers

Answer:

0.00375 inches thick

digits to write the value of the 5 in this number.587,096​

Answers

Answer: what does the question even mean

Step-by-step explanation:

5.87096 x 10^-1 Is that what you are looking for?

The radii of the pedal sprocket, the wheel sprocket, and the wheel of the bicycle in the figure are 4 inches, 2 inches, and 14 inches, respectively. A cyclist is pedaling at a rate of 1 revolution per second.

(a) Find the speed of the bicycle in feet per second and miles per hour.
ft/sec
mph

(b) Use your result from part (a) to write a function for the distance d (in miles) a cyclist travels in terms of the number n of revolutions of the pedal sprocket.
d =


(c) Write a function for the distance d (in miles) a cyclist travels in terms of time t (in seconds). Compare this function with the function from part (b).
d =

Answers

C is the answer!!! :D

solve if x=11. x+44/2x​

Answers

Answer:

substitute 11 into the equation:

[tex]\frac{11+44}{2(11)}[/tex] = [tex]\frac{55}{22}[/tex] or 2.5

Answer:

253

General Formulas and Concepts:

Pre-Algebra

Order of Operations: BPEMDAS

BracketsParenthesisExponentsMultiplicationDivisionAdditionSubtractionLeft to Right

Step-by-step explanation:

Step 1: Define

x + 44/2x

x = 11

Step 2: Evaluate

Substitute in x:                                                                                                  11 + 44/2(11)[BPEMDAS] Divide:                                                                                         11 + 22(11)[BPEMDAS] Multiply:                                                                                      11 + 242[BPEMDAS] Add:                                                                                               253

Solve the right triangle round your answer to the nearest tenth

Answers

Answer/Step-by-step explanation:

✔️A = 180° - (50° + 90°) (sum of triangle)

A = 40°

✔️Find a:

Reference angle = 50°

Opposite = 17

Adjacent = a

Therefore, using trigonometric ratio, we have the following:

Tan 50 = 17/a

a = 17/tan 50

a = 14.3 (nearest tenth)

✔️Find c using Pythagorean Theorem:

c² = a² + b²

c² = 14.3² + 17²

c = √493.49

c = 22.2 (nearest tenth)

Pls help 20 points this question is for my friend

Answers

Answer:

750 cubic feet

Step-by-step explanation:

PLEASE HELP !!! ILL GIVE BRAINLIEST!! *DONT SKIP* ILL GIVE 40 POINTS.

Answers

Answer:

5.5

Step-by-step explanation:

The answer is 5.5 to you answer.hope it helps

Kevin is driving on a long road trip. He currently has 11 gallons of gas in his car. Each hour that he drives, his car uses up 1.75 gallons of gas. How much gas would be in the tank after driving for 5 hours? How much gas would be left after t hours?

Answers

Answer:

He would have 2.75 gallons left after 5 hours.

Step-by-step explanation:

Solve the equation 6X+2=74

Answers

Divide 2 by 74 and simplify into brackets
Subtract 2 to both sides of the equation, leaving you with 6X= 72. Then, divide both sides by 6 which would leave you with x= 12.
Hope it helps.


Would the hypotenuse of a right triangle with a vertical length of 6 and a horizontal length of 10 have the same slope as the hypotenuse of the blue and red
triangles shown in the graph?

Answers

No

1. Vertical 6, horizontal 10
6/10 = 3/5 slope

2. (Red) vertical -2, horizontal 3
-2/3 does not equal 3/5

3. (Blue) vertical 4, horizontal 6
4/6 = 2/3 but does not equal 3/5

Write an integer for deposit of $100

Answers

Write an integer for deposit of $100:

-$100

Algebra roller coaster building it most state from the ground and it have to be 100ft

Answers

Answer:

sa taas nito ay 50 square meter kung pagbabasihan mo sa ibaba 55 square meter malaki rin sa baba kaya ang tawag dyaan ay centementer

I hope I can help you and give me a star even if I am only 5 or 4 stars and please put a heart for many

Pls help I’ll brainlest

Answers

Answer:

8

Step-by-step explanation:

Jeremiah bought x toy sets for $20 each and then a video game for $60. Jeremiah spent a total of $220. How may toy sets did he buy?

To find our answer, we can solve the equation:

20x + 60 = 220

        -60    -60

20x = 160

/20    /20

x = 8

Jeremiah bought 8 toy sets!

I hope this helps :)

Write formulas for the following mathematical statement.
The difference between the selling price and cost price is profit.
(1 Point)
profit=S.P-C.P
profit=S.P+C.P
profit=C.P-S.P
profit=C.P+S.P

Answers

Answer:

[tex]Profit = SP - CP[/tex]

Step-by-step explanation:

Given

[tex]S.P = Selling\ Price[/tex]

[tex]C.P = Cost\ Price[/tex]

Required

Represent the profit, mathematically

The profit is the difference between SP and CP.

This is represented as:

[tex]Profit = SP - CP[/tex]

Help person right gets brainlist​

Answers

correct answer is = 3 17/28
brainliest?
P= 3 17/28
If its mixed number

P=3.60714285
If its need to be decimal

Just copy the answer from the pic

Can you guys help me and answer this math question below please I’ll mark brainliest to whoever answers

Answers

the answer to this problem is (2,4)

Answer:

Your answer will be (2,4) :)

the triangle Loom is made from wood strips shaped into a 45 45 90 triangle. pegs are placed every half inch along the hypotenuse and every quarter inch along each leg. suppose you make a loom with an 18 inch hypotenuse. approximately how many pegs will you need ​

Answers

Answer:

36 pegs (for the hypotenuse)

About 51 pegs (for the legs)

138 pegs (total)

Step-by-step explanation:

Along the hypotenuse, the pegs are placed every half-inch. That would make 2 pegs per inch. Multiply 2 x 18 to get 36.

The legs are each 9 sqrt 2. This is 12.7279220614. The pegs are placed at each quarter inch for the legs. This is 4 per inch. So multiply 12.7279220614 x 4 to get 50.9116882454. Round this to 51.

Add 51 + 51 for the legs total pegs. You get 102. Add 102 + 36 to get 138 pegs total.

Hope it helps!


What decimal does the model represent?
The model below is shaded to represent 2
A 25.6
2.056
2.56
0.256

Answers

Answer:

2.56

Step-by-step explanation:

The answer is 2.56 tyytttttggggg

Help plz:)))I’ll mark u Brainliest

Answers

Answer:

18 foot ladder will reach at 14.4 feet up the wall.

Step-by-step explanation:

Triangles formed by the ladder against wall and the ground are similar,

ΔABC ~ ΔDEC

Therefore, their corresponding sides will be proportional.

[tex]\frac{AB}{DE}= \frac{BC}{EC}= \frac{AC}{DC}[/tex]

[tex]\frac{AB}{DE}= \frac{BC}{EC}[/tex]

[tex]\frac{18}{10}=\frac{BC}{8}[/tex]

BC = [tex]\frac{18\times 8}{10}[/tex]

     = 14.4

Therefore, 18 foot ladder will reach at 14.4 feet up the wall.

Casper write the algebraic expression 5b + 3.79. I represents the total cost, in dollars, of buying 5 bagels and a container of cream cheese. Identify any variables, coefficients, and termsin the expression. Tell me what each represents

Answers

Answer:

5 is a co efficient and b is a variable together is a term, 3.79 is a constant/term the whole equation is an expression.

The total cost of buying 5 bagels and a container of cream cheese is $28.79 and in the expression 5 is constant, b is variable, and 3.79 is constant representing the cost of the container.

What is an expression?

An expression is a combination of some mathematical symbol such that an arithmetic operator and variable such that all are constrained and create an equation.

For example 3x +5y

Given the expression for the total cost,

C = 5b + 3.79 where b is the number of bagels.

Cost of 5 bangles

C = 5(5) + 3.79 =$ 28.79

Cost of container = $3.79

Thus b is the only variable and 5b represents the cost of bagels while by the sum of container cost 3.79 total costs are created.

Hence "The total cost is $28.39 and container cost is $3.79 while b is variable".

To learn more about expression,

https://brainly.com/question/14083225

#SPJ2

Jolyn was paid $340 last week working 17 hours. What was Jolyn’s hourly pay? Do not include the units in your answer

Answers

Answer:

20

Step-by-step explanation:

It is mentioned that Jolyn made $340 in 17 hours last week. In order to evaluate this, you'll have to divide the money earned by the hours worked.

[tex]\frac{340}{17} =20[/tex]

Therefore, Jolyn makes $20 an hour as 20 x 17 = 340 which is correct,

Two rectangles are similar the sides of the larger rectangle have lengths of 24 and 30 inches the perimeter of the smaller rectangle is 27 inches find the length of the shorter side of the smaller rectangle

Answers

Answer:

small rectangle sides are 7.5 and 6

Step-by-step explanation:

Large rectangle perimeter=30+30+24+24=108

Small rectangle perimeter=27

27 is one fourth of 108 so:

small rectangle sides are 30/4 and 24/4

small rectangle sides are 7.5 and 6

Answer:

i have no clue

Step-by-step explanation:

it is really hard and i need help with it myself

.3x+.65 x 175=.50(x+175)
Can you please explain this step by step? Kinda confused about how to figure it out.

Answers

Answer:

[tex]x=131.25[/tex]

Step-by-step explanation:

[tex]0.3x+0.65*175=0.5(x+175)[/tex]

[tex]0.3x+113.75=0.5x+87.5[/tex] (Simplify both sides of the equation by multiplying on the LHS and distributing on the RHS)

[tex]0.3x+113.75-0.5x=0.5x+87.5-0.5x[/tex] (Subtract [tex]0.5x[/tex] from both sides of the equation to get all [tex]x[/tex] terms to one side)

[tex]-0.2x+113.75=87.5[/tex] (Simplify)

[tex]-0.2x+113.75-113.75=87.5-113.75[/tex] (Subtract [tex]113.75[/tex] from both sides of the equation to isolate [tex]x[/tex])

[tex]-0.2x=-26.25[/tex] (Simplify)

[tex]\frac{-0.2x}{-0.2} =\frac{-26.25}{-0.2}[/tex] (Divide both sides of the equation by [tex]-0.2[/tex] to get rid of [tex]x[/tex]'s coefficient)

[tex]x=131.25[/tex] (Simplify)

Hope this helps!

The width of a rectangle is (5x + 2) inches and the length is (6x − 7) inches. Find the area of the rectangle.

Answers

Answer:

30x² − 23x − 14

Explanation:

Area = Length · Width

Length: (6x - 7)

Width: (5x + 2)

Create An Equation

(6x - 7) (5x + 2)

= (6x + −7)(5x + 2)

(6x)(5x) + (6x)(2) + (−7)(5x) + (−7)(2)

= 30x² + 12x − 35x − 14

30x² − 23x − 14

- PNW

what is the answer
y-11=25-3y

Answers

Answer:

9

Step-by-step explanation:

y-11=25-3y

y + 3y = 25 + 11

4y = 36

y = 36 / 4

y = 9

Hope it will help :)

A(n)?
is a number that is a multiple of two or more numbers.

Answers

Akbwjdnd skbdjdbsjdbdbdjdjbd

Solve the following equation.
4x - 2 = 22-8x

Answers

Answer:

x = 2

Step-by-step explanation:

4x - 2 = 22 - 8x

Move all variables to a single side by adding 8x to both sides of the equation.

4x + 8x - 2 = 22 - 8x + 8x

12x - 2 = 22

Add 2 to both sides to move the constants to one side.

12x - 2 + 2 = 22 + 2

12x = 24

Divide both sides by 12 to isolate the x.

12x / 12 = 24 / 12

x = 2

Answer:

x = 2

Step-by-step explanation:

Add 2 to both sides.

4x - 2 +2 = 22 - 8x + 2

Simplify.

4x=-8+24

Add 8x to both sides.

4x+8x= -8x + 24 + 8x

Simplify.

12x = 24

Divide both sides by 12.

12x/12 = 24/12

Simplfy.

x = 2

hope this helps! :)

A restaurant chef made 4 1/2 pints of mushroom soup Each bowl of soup holds 1/2 of pint. How many bowls of soup will.the chef be able to fill?

Answers

Answer:

4 2/4

Step-by-step explanation:

4 1/2 + 1/2 = 4 2/4

i just added em up

Answer:

Step-by-step explanation: 4 1/2 pints / 1/2 pint/ bowl = (9/2) / (1/2) = 9/2 pints x 2 bowl/pint = 18/2 bowls = 9 bowls. QED.

Solve the inequality for x.
X-3/4>=-1/8
Simplify your answer as much as possible

Answers

ExplanationGiven the Inequality.

[tex]x - \frac{3}{4} \geqslant - \frac{1}{8} [/tex]

Solve the Inequality for x-term.

[tex]x \geqslant - \frac{1}{8} + \frac{3}{4} [/tex]

Make both fractions to have same denominators by multiply 2 in 3/4 for both numerator and denominator.

[tex]x \geqslant - \frac{1}{8} + \frac{3 \times 2}{4 \times 2} \\ x \geqslant - \frac{ 1}{8} + \frac{6}{8} \\ x \geqslant \frac{5}{8} [/tex]

Hence, the solution is, "x is greater or equal to 5/8."

Answer

[tex] \large \boxed{x \geqslant \frac{5}{8} }[/tex]

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