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3 years ago

Which number is a perfect square 33 37 48 49

Mathematics

2 answers:

marysya [2.9K]3 years ago

8 0

The answer for this would be 49

iVinArrow [24]3 years ago

7 0

The Answer Is 49. Hope This Helps!

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A certain college graduate borrows 7864 dollars to buy a car. The lender charges interest at an annual rate of 13%. Assuming tha

White raven [17]

Answer:

Therefore rate of payment = $ 3145.72

Therefore the rate of interest = =$1573.17

Step-by-step explanation:

Consider A represent the balance at time t.

A(0)=$ 7864.

r=13 % =0.13

Rate payment = $k

The balance rate increases by interest (product of interest rate and current balance) and payment rate.

$\frac{dB}{dt} = rB-k$

$\Rightarrow \frac{dB}{dt} - rB=-k$ .......(1)

To solve the equation ,we have to find out the integrating factor.

Here p(t)= the coefficient of B =-r

The integrating factor $=e^{\int p(t) dt$

$=e^{\int (-r)dt$

$=e^{-rt}$

Multiplying the integrating factor the both sides of equation (1)

$e^{-rt}\frac{dB}{dt} -e^{-rt}rB=-ke^{-rt}$

$\Rightarrow e^{-rt}dB - e^{-rt}rBdt=-ke^{-rt}dt$

Integrating both sides

$\Rightarrow \int e^{-rt}dB -\int e^{-rt}rBdt=\int-ke^{-rt}dt$

$\Rightarrow e^{-rt}B=\frac{-ke^{-rt}}{-r} +C$ [ where C arbitrary constant]

$\Rightarrow B(t)=\frac{k}{r} +Ce^{rt}$

Initial condition B=7864 when t =0

$\therefore 7864= \frac{k}{r} - Ce^0$

$\Rightarrow C= \frac{k}{r} -7864$

Then the general solution is

$B(t)=\frac{k}{r}-( \frac{k}{r}-7864)e^{rt}$

To determine the payment rate, we have to put the value of B(3), r and t in the general solution.

Here B(3)=0, r=0.13 and t=3

$B(3)=0=\frac{k}{0.13}-( \frac{k}{0.13}-7864)e^{0.13\times 3}$

$\Rightarrow- 0.48\frac{k}{0.13} +11614.98=0$

⇒k≈3145.72

Therefore rate of payment = $ 3145.72

Therefore the rate of interest = ${(3145.72×3)-7864}

=$1573.17

4 0

4 years ago

A,B,C,D are points on the circumference of a circle centre o

Marina86 [1]

The points A,B,C,D make up the circumference of the circle

The measure of angle BAD is 65 degrees

<h3>How to determine the measure of angle BAD?</h3>

The measure of angle ODB is given as:

ODB = 25 degrees

Considering the triangle BOD, we have:

ODB + BOD + DBO = 180

Where:

ODB = DBO = 25

So, we have:

25 + BOD + 25 = 180

Solve for BOD

BOD = 130 degrees

The angle at an arc is twice the angle at the circumference.

So, we have:

BOD = 2 * BAD

Substitute 130 for BOD

130 = 2 * BAD

Divide both sides by 2

65 = BAD

Hence, the measure of angle BAD is 65 degrees

Read more about angle measures at:

brainly.com/question/17972372

7 0

2 years ago

What is the probability of tossing two coins in Irvington bus land on heads?

d1i1m1o1n [39]

Sample space = {TT, HH, TH, HT} where T is tail and H is head.
Number of outcomes = 4
The probability of getting two heads on tossing two coins
$= (\frac{1}{4} \times 100)\% \\ = 25\%$

Answer:

D) 25%

Hope you could understand.

If you have any query, feel free to ask.

6 0

2 years ago

What is the tangent of 0?

algol [13]

Answer: Tis 0

Step-by-step explanation:

5 0

3 years ago

Read 2 more answers

Consider the diagram below. Which of the following statements are correct? Select all that apply. (Diagram and answer options ar

Vika [28.1K]

Answer:

Options 1,2,6,7 are correct statements.

Step-by-step explanation:

In the given figure lines m and n are cut by a transversal t.

Among all the statements the options that are correct are :

1)<1 and <5 are corresponding angles.(The angles in matching corners are called corresponding angles)

2)<3 and <6 are alternate interior angles .(The angles that are formed on opposite sides of the transversal and inside the two lines are alternate interior angles)

6)<4 and <6 are same side consecutive angles.(consecutive angles lie on the same side of the transversal)

7)<1 and <8 are alternate exterior angles.( These angles lie on the exterior side of the lines and on opposite side of the transversal)

3 0

3 years ago