Graph the equation.<br> y= 5(-1)2

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

Setler79 [48]

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

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

The effect an increase in i.

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

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

5 0

1 year ago

A student dance committee is to be formed consisting of 2 boys and 4 girls. If the membership is to be chosen from 5 boys and 6

Paha777 [63]

150 different committees are possible

<h3><u>Solution:</u></h3>

Given that a student dance committee is to be formed consisting of 2 boys and 4 girls

The membership is to be chosen from 5 boys and 6 girls

To find : number of different possible committees

A combination is a selection of all or part of a set of objects, without regard to the order in which objects are selected

<em><u>The formula for combination is given as:</u></em>

$n C_{r}=\frac{n !}{(n-r) ! r !}$

where "n" represents the total number of items, and "r" represents the number of items being chosen at a time

<em><u>We have to select 2 boys from 5 boys</u></em>

So here n = 5 and r = 2

$\begin{aligned} 5 C_{2} &=\frac{5 !}{(5-2) ! 2 !}=\frac{5 !}{3 ! 2 !} \\\\ 5 C_{2} &=\frac{5 \times 4 \times 3 \times 2 \times 1}{3 \times 2 \times 1 \times 2 \times 1} \\\\ 5 C_{2} &=10 \end{aligned}$

<em><u>We have to select 4 girls from 6 girls</u></em>

Here n = 6 and r = 4

$\begin{aligned} 6 C_{4} &=\frac{6 !}{(6-4) ! 4 !}=\frac{6 !}{2 ! 4 !} \\\\ 6 C_{4} &=\frac{6 \times 5 \times 4 \times 3 \times 2 \times 1}{2 \times 1 \times 4 \times 3 \times 2 \times 1}=15 \end{aligned}$