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
Thepotemich [5.8K]
2 years ago
8

Describe the effect an increase in i, the interest rate applied to the present value, has on the monthly payment P in the formul

a P = P V times StartFraction i over 1 minus (1 i) superscript negative n Baseline EndFraction a. An increase in i, the interest rate, will not change P, the monthly payment. B. An increase in i, the interest rate, will create an increase in P, the monthly payment. C. An increase in i, the interest rate, will create a decrease in P, the monthly payment. D. An increase in i, the interest rate, can increase or decrease P, the monthly payment, depending on the value of PV.
Mathematics
1 answer:
Setler79 [48]2 years ago
5 0

The A option is correct.

<h2>Ratio and proportion</h2>

A ratio is an ordered pair of numbers a and b, written as a/b where b does not equal 0. A proportion is an equation in which two ratios are set equal to each other.

Given

The interest rate applied to the present value has on the monthly payment P in the formula

\rm P = PV(\dfrac{i}{1-i})^{-n}

<h3>To find </h3>

The effect an increase in i.

<h3>How to find it?</h3>

\rm P = PV(\dfrac{i}{1-i})^{-n}\\

on simplifying the equation, we get

\rm P = PV(\dfrac{i}{1-i})^{-n}\\\\P = PV\dfrac{1}{(\frac{i}{1-i})^n}\\\\\\P = PV(\dfrac{1-i}{i})^{n}\\\\P = PV(\dfrac{1}{i} - 1)^{n}

Let n be the constant, then the equation will be

\rm P = PV(\dfrac{1}{i} - 1)^{n}\\\\\dfrac{1}{V} \propto \dfrac{1}{i}\\\\V \propto i

It is clear that V is proportional to i.

An increase in i, the interest rate, will not change P, the monthly payment.

Thus, the A option is correct.

More about the ratio and the proportion link is given below.

brainly.com/question/165414

You might be interested in
Use trigonometric identities to solve each equation within the given domain.
katrin [286]

Recall that the tangent function is defined by

tan(<em>x</em>) = sin(<em>x</em>)/cos(<em>x</em>)

Also recall the double angle identity for sine,

sin(2<em>x</em>) = 2 sin(<em>x</em>) cos(<em>x</em>)

Then the equation is the same as

3 sin(<em>x</em>)/cos(<em>x</em>) = 4 sin(<em>x</em>) cos(<em>x</em>)

Move everything to one side to prepare to factorize:

3 sin(<em>x</em>)/cos(<em>x</em>) - 4 sin(<em>x</em>) cos(<em>x</em>) = 0

sin(<em>x</em>)/cos(<em>x</em>) (3 - 4 cos²(<em>x</em>)) = 0

As long as cos(<em>x</em>) ≠ 0, we can omit the term in the denominator, so we're left with

sin(<em>x</em>) (3 - 4 cos²(<em>x</em>)) = 0

and so

sin(<em>x</em>) = 0   <u>or</u>   3 - 4 cos²(<em>x</em>) = 0

sin(<em>x</em>) = 0   <u>or</u>   cos²(<em>x</em>) = 3/4

sin(<em>x</em>) = 0   <u>or</u>   cos(<em>x</em>) = ±√3/2

On the interval [0, 2<em>π</em>),

• sin(<em>x</em>) = 0 for <em>x</em> = 0 and <em>x</em> = <em>π</em>

• cos(<em>x</em>) = √3/2 for <em>x</em> = <em>π</em>/6 and <em>x</em> = 11<em>π</em>/6

• cos(<em>x</em>) = -√3/2 for <em>x</em> = 5<em>π</em>/6 and <em>x</em> = 7<em>π</em>/6

(None of these <em>x</em> make cos(<em>x</em>) = 0, so we don't have to omit any extraneous solutions.)

6 0
3 years ago
Use the following diagram to answer question 4 and 5
baherus [9]

Answer:

3x-13+2x+4=116( the sum of two interior angle is epual to the sum of exterior angle )

5x =116-9

5x=107

x=21.4 degree

then

angle a= 3*21.4-13

a=51.2degree

angle b=2*21.4+2

b =44.8degree

Step-by-step explanation:

plz make me brainliest

3 0
2 years ago
Which point keeps the set of ordered pairs a function {(1,-2).(-2,4), (5,0)}
tester [92]
B (2,1) is the answer
4 0
2 years ago
A bag contains yellow marbles and red marbles, 23 in total. The number of yellow marbles is 4 less than 2 times the number of re
Orlov [11]
First let’s express the total number of marbles as such:
y(yellow marbles) + r(red marbles)=23; y+r=23

now let’s express the relation of yellow marbles to red marbles:
y=2r(2 times red marbles) - 4(4 less marbles); y=2r-4

since we figured out what y equals, we can plug into the first equation we created:
(2r-4)+r=23

now solve for r:
2r-4+r=23
combine like terms
3r-4=23
add 4 to both sides
3r=27
divide both side by 3
r=9

plug r back into first equation and solve for y:
y+9=23
subtract 9
y=14

there are 9 red marbles and 14 yellow marbles!


3 0
3 years ago
I want some Mathematics questions about ratio and proportion​
Nat2105 [25]

Answer:

Mel fills his gas tank up with 6 gallons of premium unleaded gas for a cost of $26.58. How much would it cost to full an 18 gallon tank?

or

Jacob ran 10 miles in 80 minutes. At that rate how far would he run in 2.5 hours?

6 0
3 years ago
Read 2 more answers
Other questions:
  • Can someone help please?
    15·1 answer
  • What is 5/8 as a percent and a decimal
    10·1 answer
  • Find the slope between (1, 1) and (8, 7)
    12·1 answer
  • 783/32 as a mixed number
    15·2 answers
  • Carlos put a total of 1/8 lb of gravel into 6 fishtanks he put the same amount of gravel into each tank how many pounds of grave
    8·1 answer
  • The sum of 2 numbers is 20 their difference is 4 what are the 2 numbers
    7·2 answers
  • Please answer this I need this to bring up my grade! I’ll really appreciate it if you truthfully answered this!!!
    13·2 answers
  • Anna is making a banner out of 4 congruent triangles as shown below. How much blue trim will she need for each side
    6·1 answer
  • Josh drew the rectangle below and then reflected it over C D to form Rectangle A'B'C'D'. He argues that the image of the rectang
    7·1 answer
  • Y = 10 is a solution for 7(x + 9) = 132
    7·2 answers
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!