The range of a function of y=2/3x+4 is {3,5,17/3,23/3} identify the domain

An organisation buys a truck on hire purchase The cost is 500000 The contract states a deposit or 35% and 12 annual payments of

Mama L [17]

Answer:

total finance cost is 274064

interest in 5 year = 17568.21

creditors reduced in year 8 is 21812.87

Step-by-step explanation:

given data

cost = 500000

rate 35%

installment = 12

annual payment = 49922

to find out

the total finance cost and interest is charged in 5 year and creditors reduced in year 8

solution

we know cost is 500000 so down payment will be

payment = 35% of 500000 = 35/100 × 500000

so payment = 175000

and 12 installment purchase price is 12 × 49922

purchase price = 599064

so total finance cost is payment + purchase price - cost

finance cost = 175000 + 599064 - 500000

so total finance cost is 274064

and

we know in 1 to 12 digit sum is 78

so interest in 5 year

interest = 5/78 of total finance cost

interest = 5/78 × 274064

interest in 5 year = 17568.21

and

interest in 8 year

interest = 8/78 of total finance cost

interest = 8/78 × 274064

interest in 8 year = 28109.13

so

creditors reduced in year 8 = 49922- 28109.13

creditors reduced in year 8 is 21812.87

4 0

3 years ago

Rachel runs 2km to her bus stop, and then rides 4.5 km to school. On average, the bus is 45 km/h faster than Rachel's average ru

Mice21 [21]

Answer:6.042km/h 6km/h approximately

Step-by-step explanation:

First off we have to know the formula relating speed, distance and time which is

Speed = distance/time

Now we are looking for Rachel's running speed

We are to find Rachel's running speed, so let's label is x

We are given that the distance Rachel runs to her bus stop is 2km

We were not given the time she uses to run to the bus stop

So let's label the time Rachel uses to run to her bus stop as y

So from the formula speed = distance/time

We have x = 2/y

Now we are told that the speed the bus uses to get to school is 45km/h faster than her speed used to run

So speed of bus = 45 + x

And the overall time for the whole journey is 25mins, changing this to hours, because the speed details given is in km/h we divide 25 by 60 which will give 0.417

Now if the total time is 0.417 hours, and we labeled the time for Rachel to run to the bus as y, so the time for the time for the bus to get to school will be 0.417 - y

We are also told the bus rides for 4.5km to school

So adding this together to relate the speed, distance and time of the bus with the formula speed = distance/time

We get 45 + x = 4.5/(0.417 - y)

So we have two equations

x = 2/y (1)

45+x = 4.5/(0.417-y) (2)

So putting (1) in (2) we have

45 + (2/y) = 4.5/(0.417-y)

Expanding further

(45y + 2)/y = 4.5(0.417-y)

Cross multiplying

(45y + 2)(0.417 - y) = 4.5y

Opening the brackets

18.765y - 45y2 + 0.834 - 2y = 4.5y

Collecting like terms

-45y2 + 18.765y -2y - 4.5y + 0.834 = 0

-45y2 + 12.265 + 0.834 = 0

Dividing all sides by -45 to make the coefficient of y2 1

y2 - 0.273y - 0.019 = 0

Now we have gotten a quadratic equation, and since it's with decimal numbers we can use either completing the square method of almighty formula

I'm using almighty formula her

For solving

ax2 + bx + c = 0

x = (-b +-root(b2-4ac)/2a

For our own equation, we are finding y

From our our quadratic equation

a = 1, b=-0.273, c = -0.834

you = (-(-0.273)+-root(-0.273-4(1)(-0.019))/2(1)

y = (273+-root(0.151))/2

y = (0.273+0.389)/2 or (0.273-0.389)/2

y = 0.331 or -0.085

So we use the positive answer which is 0.331, because time can't be negative

Then we put y = 0.331 in (1)

x = 2/y

x = 2/0.331

x = 6.042km/h

x = 6km/h approximately

4 0

3 years ago

In 1863, President Abraham Lincoln gave his famous Gettysburg Address. It starts, “Four score and seven years ago....” Four scor

vichka [17]

Answer: There are 20 years in a score. The year he is talking about is 1776

Step-by-step explanation:

4 0

3 years ago

Which equation could be used to solve for the length of XY? XY = (22) sin (41°) XY = (22) cos (41°) XY = Start Fraction 22 Over

Solnce55 [7]

Answer:

Pythagorean's theorem: a²+ b²= c²

Sines: sin A = a/c, sin B = b/c.

Cosines: cos A = b/c, cos B = a/c.

Tangents: tan A = a/b, tan B = b/a.

Step-by-step explanation:

For example, if the side a = 22 and the angle A = 41°, we can use a sine and a tangent to find the hypotenuse and the other side. Since sin A = a/c, therefore c = a/sin A = 22/sin 41. Using a calculator, this is 22/0.6561 = 33.5314. Also, tan A = a/b, so b = a/tan A = 22/tan 41 = 22/0.8693 = 25.307.

4 0

3 years ago

Read 2 more answers

The drawing below shows circle B and circle E.Which equation best describes the relationship between BC and EF?

Svet_ta [14]

Answer:

BC = 3(EF)

Step-by-step explanation:

The question stated that AC is 3 times the length of DF.

7 0

3 years ago

Read 2 more answers