1answer.
Ask question
Login Signup
Ask question
All categories
  • English
  • Mathematics
  • Social Studies
  • Business
  • History
  • Health
  • Geography
  • Biology
  • Physics
  • Chemistry
  • Computers and Technology
  • Arts
  • World Languages
  • Spanish
  • French
  • German
  • Advanced Placement (AP)
  • SAT
  • Medicine
  • Law
  • Engineering
cestrela7 [59]
3 years ago
10

Devin signs a note for a discounted loan agreeing to pay $2,700 in 6 months at a discount rate of 7%. Determine the amount of th

e discount and the proceeds to Devin.
Discount = $

Proceeds = $
Mathematics
1 answer:
grandymaker [24]3 years ago
7 0

Answer:

discount= $94.5

Proceeds=$2605.5

Step-by-step explanation:

amount Dawin has to pay= $2700

in 6 months time

at a discount rate of 7%

here future value = $2700

D= discount before m months is given by

D= \frac{FV\times r\times m}{1200}

m= 6 months, r= 7% and FV= 2700

putting values

D= \frac{2700\times 7\times 6}{1200}

solving we get

D= $94.5

now present value = future value - discount

=2700-94.5= $ 2605.5

here PV(present valve )= Proceeds= $2605.5

You might be interested in
Find the value of x² - x+1 when x=√3 -1, in the form a+b√3 where a and b are integers​
lidiya [134]

Answer:

6-3\sqrt{3}

If you compare this to a+b\sqrt{3}, then a=6 and b=-3.

Step-by-step explanation:

We are given x=\sqrt{3}-1 and we are asked to find the value of x^2-x+1.

So we will need to find x^2.

x=\sqrt{3}-1

Square both sides:

x^2=(\sqrt{3}-1)^2

Expand using identity: (x-a)^2=x^2-2ax+a^2.

x^2=(\sqrt{3})^2-2(\sqrt{3})(1)+1^2

x^2=3-2\sqrt{3}+1

x^2=4-2\sqrt{3}

Let's go back to the full x^2-x+1.

x^2-x+1

(4-2\sqrt{3})-(\sqrt{3}-1)+1

4-2\sqrt{3}-\sqrt{3}+1+1

6-3\sqrt{3}

If you compare this to a+b\sqrt{3}, then a=6 and b=-3.

5 0
3 years ago
The ordered pair (-4, -5) is a solution of the following system of equations 2x+y=13 19x+13y=15
liberstina [14]

Answer:

Step-by-step explanation

672

8 0
3 years ago
What is the focus of the parabola given the equation y=x^2+4x-1
IrinaK [193]
Let's first rewrite it in vertex form.
Start by completing the square.
y = x² + 4x + 4 - 4 - 1
y = (x + 2)² - 5
(x + 2)² = y + 5

Now, 4a = 1; a = \frac{1}{4}

So, the vertex form is (x + 2)² = 4(\frac{1}{4})(y + 5)
So, we know that the vertex is at (-2, -5).
Since it's a concave up parabola, we just have to change the y-value to find the focus.

∴ F(-2, -5 + \frac{1}{4})
F(-2, \frac{-19}{4})
3 0
3 years ago
HELP LOTS OF POINTS
Ray Of Light [21]

Answer:

16 units

Step-by-step explanation:

4+6+8=18

18-2=16

7 0
3 years ago
Read 2 more answers
What are the coordinates of the y-intercept in the equation Y=2×-2? (,)​
Mekhanik [1.2K]

Answer:

(0,-2)

Step-by-step explanation:

y = 2x-2

This is in the form

y= mx+b where m is the slope and b is the y intercept

y =2x + -2   where 2 is the slope and -2 is the y intercept

5 0
3 years ago
Read 2 more answers
Other questions:
  • the inequality simplifies to 3/x+2+1>0. which inequality is equivalent? a. 4/x+2>0 b. 4/x+2<0 c. x+5/x+2>0 d. x+5/x+
    9·2 answers
  • A waitress earned the following tips during one hour: $4.50 $3.00 $5.00 and $3.75 She gave each of the two bulbous working with
    13·2 answers
  • WILL GIVE BRANLIEST! please!
    12·1 answer
  • Find the slope of the linear function graphed below.<br> A. m=-4/3 B. m=4/3 C. m=3/4 D. m=-3/4
    14·1 answer
  • Which describes the slope of this line?
    13·2 answers
  • Find the domain and range of the exponential function h(x) = 125x.
    13·1 answer
  • Which transformation of a scalene triangle produces an image that is similar, but not congruent, to the original
    10·2 answers
  • Juan bought a MP3 player for $45 after a 15% discount.
    8·2 answers
  • The bills won 57.1% of their 140 games last year. How many did they win
    13·2 answers
  • Monica knows that she should spend no more than 1/3 of her income on her rent. She really wants to move into a cool condo downto
    7·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!