All categories

3 years ago

The average of 3,15, and my number is 40. What is my number?

Mathematics

1 answer:

mylen [45]3 years ago

8 0

Answer:

Your number is 102.

120/3=40 (3 numbers so divide by 3)

3+15=18

120-18=102

You might be interested in

Rate and Ratio Sipho paid 605,50 for 70litres of petrol.What did the petrol cost per litre.

amid [387]

605,50/70= 929 per liter or 9.29 if it was suppose to be 605.50 price.

6 0

2 years ago

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

What is the inequaliity of 3<-5n+2n and how do you put it on a number line

timama [110]

The inequality would be the negative factor, because -5n+2n is 3n. You would write it on a number line like this.....
Sry, i was just making an educated guess.... RIP....

6 0

3 years ago

Read 2 more answers

Use the distributive property to write an expression that is equivalent to: 3(x + 5)

lana [24]

Answer:

3x=15

Step-by-step explanation:

Here's what I found on google about the distributive property-

To “distribute” means to divide something or give a share or part of something. According to the distributive property, multiplying the sum of two or more addends by a number will give the same result as multiplying each addend individually by the number and then adding the products together.

Now for the math-

3(x+5)

distribute the numbers- 3(x)+3(5)

solve- 3*5=15

3x+15

3 0

3 years ago

Which value of HNK are used to write the function f(x) = x2 + 12x + 6 in vertex form?

anygoal [31]

Answer:

( − 6 , − 30 )

Step-by-step explanation:

Rewrite in vertex form and use this form to find the vertex ( h , k ) .

6 0

3 years ago