Answer:
£1000, £1400
Step-by-step explanation:
Sum the parts of the ratio 5 + 7 = 12 parts
Divide the amount by 12 to find the value of one part of the ratio.
£2400 ÷ 12 = £200, thus
5 parts = 5 × £200 = £1000
7 parts = 7 × £200 = £1400
Just divide 5/4 = 1.25. Thank you.
Answer:
1,620/.60 = $2,700
step-by-step explanation:
Calculate the complement of the trade discount 100% - 40 = .60 •Calculate the list price $n Discount Rates EXAMPLE: The list price of the office equipment is $15,000. The chain discount is 20/15/10.Step 1. $15,000 X .20 =$3,000Step 2. $15,000-3,000=$12,000 X .15 = $1,800Step 3. $12,000-1,800 = $10,200 X.10 = $1,020Step 4. $10,000- 1,020 = 9,180 Net PriceCalculating Net Price Using Net Price Equivalent Rate EXAMPLE: The list price of office equipment is $15,000. The chain discount is 20/15/10. What is the net price? Step 1. Calculate each rates complement and convert to a decimal.100%-20 = 80% which is .8100%-15= 85% which is .85100% -10 = 90% which is .9Step 2. Calculate the net price equivalent rate. ( Do not round ).8 X .85 X .9 = .612 Net price equivalent rate. For each dollar you are spending about 60 cents.Step 3. Calculate the net price (actual cost to buyer) $15,000 X .612 = $9,180Step 1. Subtract each chain discount rate from 100% (find the complement) and convert each percent to a decimal.Trade Discount AmountList price x Trade discount rate = Trade discount amount $5,678 x 25% = $1,419.50Net Price List price -- Trade discount amount = Net Price
Answer:
9 represents the initial height from which the ball was dropped
Step-by-step explanation:
Bouncing of a ball can be expressed by a Geometric Progression. The function for the given scenario is:
![f(n)=9(0.7)^{n}](https://tex.z-dn.net/?f=f%28n%29%3D9%280.7%29%5E%7Bn%7D)
The general formula for the geometric progression modelling this scenario is:
![f(n)=f_{0}(r)^{n}](https://tex.z-dn.net/?f=f%28n%29%3Df_%7B0%7D%28r%29%5E%7Bn%7D)
Here,
represents the initial height i.e. the height from which the object was dropped.
r represents the percentage the object covers with respect to the previous bounce.
Comparing the given scenario with general equation, we can write:
= 9
r = 0.7 = 70%
i.e. the ball was dropped from the height of 9 feet initially and it bounces back to 70% of its previous height every time.
Answer:
(8,21)
Step-by-step explanation:
Since both equations equal y, set both equaitions equal to each other
and solve for x
4x-11=x+13 , subtract x from both sides
3x-11=13, add eleven to both sides
3x=24, divide both sides by 3 to get x alone
x=8
Substitute x=8 into either equation to solve for y
y=4(8)-11
y=32-11
y=21