Answer:32
Step-by-step explanation:
768/24=32
Answer: 13
Step-by-step explanation:
Let the number that in thinking of be represented by x.
I multiply by 11 and add 22 will give the same answer as multiplying by 4 and adding 113. This.csn be firmed into an equation as:
(11 × x) + 22 = (4 × x) + 113
11x + 22 = 4x + 113
Collect like terms
11x - 4x = 113 - 22
7x = 91
x = 91/7
x = 13.
The number is 13
Answer: a. 13120
b. 4100
c. 1025
d. 3280
Step-by-step explanation:
(a) find the costs price of the fridge
Since the cash price is 20% less the hire purchase price, then the cost of the fridge will be:
= (100% - 20%) × 16400
= 80% × 16400
= 0.8 × 16400
= 13120
(b) calculate the deposit
Since 25% is paid as deposit, the deposit will be:
= 25% × 16400
= 0.25 × 16400
= 4100
(c) what is the monthly installments
Monthly installments will be:
= (16400 - 4100)/12
= 12300/12
= 1025
(d) what is the differences between the cash price and the hire purchase price.
This will be:
Hire purchase price = 16400
Cash price = 13120
= 16400 - 13120
= 3280
Answer:
Step-by-step explanation:
Since there are a total of three buckets and only one can be chosen at a time, this would mean that the probability of a ball being placed in a bucket is 1/3. Since each ball has the same probability of being placed into any bucket regardless of the where the previous ball landed, it means that each ball has the same 1/3 probability of a bucket. In order to find the probability that all three land in the same bucket, we need to multiply this probability together for each one of the balls like so...
Finally, we see that the probability of all three balls landing in the same bucket is
You have to make a cos graph that starts its minimum and of -2, has an amplitude of 10, a period of 10 and a maximum of 18.
I decided to use a cos graph since cos graphs start at their minimum or maximum unlike a sine graph that starts halfway between the minimum and maximum. You also know the amplitude has to be 10 since 18+2=20 and 20/2=10. We were also told that the water wheel completels a rotation every 10 minutes which means the period is 10 minutes.
lets start of with a regular cos(x) graph. This starts on its maximum instead of minimum so we have to multiply it by -1 to get -cos(x) which does start on its minimum.
-cos(x) has an amplitude of 1 instead of 10, to fix that we multiply it by 10 to get -10cos(x) which has an amplitude of 10.
-10cos(x) has a period of 2π instead of 10, to fix this we multiply the x by 2π/10 to get -10cos((π/5)x) which now has a period of 10.
-10cos((π/5)x) has a minimum of -10 and maximum of 10 instead of a minimum of -2 and maximum of 18, to fix this we add 8 to -10cos((π/5)x) to get -10cos((π/5)x)+8 which does have a minimum of -2 and maximum of 18.
Therefore the answer is y=-10cos((π/5)x)+8. x being time in minutes and and y being the height in feet.
I hope this helps. Let me know if anything is unclear.
