All categories

3 years ago

What is 0.01 in standard form

Mathematics

1 answer:

Nimfa-mama [501]3 years ago

5 0

Answer: 0.01 = 10-2 .

Step-by-step explanation: have a good day!

You might be interested in

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

3 years ago

Solve for t. You must write your answer in fully simplified form.<br> -19 = 7t

a_sh-v [17]

Answer:

-2.71

Step-by-step explanation:

6 0

3 years ago

Read 2 more answers

A certain building has a triangular shaped face to link up of the sides of the triangular base or 145 feet 257 feet in 290 feet

attashe74 [19]

Answer:

18617.66 ft^2

Step-by-step explanation:

sides of triangular base

a= 145ft ,

b = 257ft ,

c = 290ft

<u>calculate the area of the base </u>

The base is a scalene triangle hence the area is calculated as follows

s = ( a + b + c ) / 2

= ( 145 + 257 + 290 ) / 2 = 346

Area of triangle = $\sqrt{s(s-a)(s-b)(s-c)} = \sqrt{346(201)(89)(56)}$

= 18617.66 ft^2

3 0

2 years ago

Please help I have no clue how to do this

Alinara [238K]

Step-by-step explanation:

It's a question of trigonometry.

You need to remember that tangent (tan) stands for Perpendicular / Base.

So, tan P = QR / PR

By Pythagoras Theorem,

34² = 30² + x²

x² = 34² - 30²

x² = 1156 - 900

x² = 256

x = 16

Now, placing the values,

tan P = 30 / 16

tan P = 1.875

HOPE IT HELPS ^_^

5 0

2 years ago

Just in case my car goes off the highway

UkoKoshka [18]

Answer:

wait are you the person who is putting lyrics of a certain song? oh yeah it is! hello

Step-by-step explanation:

3 0

3 years ago

Read 2 more answers