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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

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Answer:

3433 m²

Step-by-step explanation:

From the image, we have a rectangular box without cover and half a cylinder on top.

Formula for surface area of rectangular box with top is;

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From the image,

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w = 0.4 m

h = 0.55 m

Thus;

S = 2((0.6 × 0.55) + (0.4 × 0.55) + (0.6 × 0.4))

S = 1.58 m²

Now, since the top is not included for this figure, then;

Surface area of this rectangular box is;

S1 = 1.58 - (lw) = 1.58 - (0.4 × 0.6) = 1.34 m²

Surface area of a cylinder is;

S = 2πr² + 2πrh

r is radius and in this case = 0.4/2 = 0.2 m

h = 0.6

S = 2π(0.2² + (0.2 × 0.6))

S = 1.005 m²

Since it is half cylinder, then we have;

S2 = 1.005/2

S2 = 0.5025 m²

Total surface area; S_t = S1 + S2

S_t = 1.34 + 0.5025

S_t = 1.8425 m²

This is the surface area of one mail box.

Thus, for 1863 mailboxes, total surface area is;

S = 1863 × 1.8425 = 3432.5775 m²

Approximating to the nearest Sq.m gives;

S = 3433 m²

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Answer:

c) H0 : p = 5.8%

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At the null hypothesis, we test that the percentage is equal to a certain value. At the alternate hypothesis, we have a test about this percentage, if it is more, less, or different from the tested value.

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