Answer:
Step-by-step explanation:
100%-4%=96%
96/100=0.96
£1700*0.96^4=£1443.89
Answer:
1143.89Step-by-step explanation:
I HOPE it's help you
While watching a football game, Jordan decided to list yardage gained as positive integers and yardage lost as negative integers. After these plays, Jordan recorded 14, -7, and -9. What was the overall gain or loss?
Answer:
There is a loss of 2 yards.
Step-by-step explanation:
To find the overall gain or loss, we add or subtract there values.
Initially, we have 0 yards.
Records 14, so 0 + 14 = 14, that is, for now a gain of 14
Then loses 7, so 14 - 7 = 7, for now a gain of 7.
Then, 7 - 9 = - 2, so in all, there is a loss of 2 yards.
a second truck arrives whose ladder, when extended,is 30 meters long. the base of this ladder is also 4 metres above the ground. for safety reasons, the max angle of elevation that the ladder can make is 70%
Answer: The maximum height of the wall that can be reached by the ladder on the second truck = 58.19 meters
Step-by-step explanation:
A diagram for the given situation is attached.
To find: AC
In right triangle ABF,
[tex]\dfrac{AB}{AE}=\sin 70^{\circ}\\\\\Rightarrow\ \dfrac{AB}{30}=0.9397\\\\\Rightarrow\ AB=30\times0.9397\approx 28.19[/tex]
Now AC = AB + BC = 28.19 + 30 meters = 58.19 meters
Therefore, the maximum height of the wall that can be reached by the ladder on the second truck = 58.19 meters
What is 9.25% tax of $27.26?
Answer:
$29.78
Step-by-step explanation:
1. make the % into a decimal
9.25% = 0.0925
2. multiply amount by the decimal to get the tax amount
$27.26 × 0.095 = $2.52
3. take the original amount and add the tax to get your final total
$26.27 + $2.52 = $29.78
Factorise:
4x^2+4xy+y^2-2^2
Answer:
Step-by-step explanation:
4x^2 + 4xy + y^2 = (2x + y)^2
and if we assume that 2x + y = A and because 4 = 2^2
A^2 - 2^2 = (A-2)*(A+2) .
I need help if you help I’ll give you extra points!!!!!!!
Answer:
a=66m b=4.58cm
Step-by-step explanation:
a=5610 divided by 85=66 so 66m ×85 m =5610 meters squared
b=330cm ÷ 72 cm is 4.58. So 72×4.58=329.76 so rounded =330
Which letter has line symmetry?
Q
P
L
J
M?
Answer:
M
Step-by-step explanation:
because it is equal on either side if you cut a line down the middle of the letter
The temperature at 6:00 a.m. was -6°F. By 12 noon, the temperature had increased by 15°F. What was the temperature at
12 noon?
Answer:
9°
Step-by-step explanation:
-6 + 15 = 9
pleaseeee helppppppppp meeeeee
Answer:
x = 10 yd
Explanation:
These triangles are based on proportions. 12 yd is proportional to 18 yd, and x yd to 15 yd. We want to find x. We'll use the rule of three to calculate the unknown number.
12/18 = x/15
x = (12 · 15)/18
x = 10 yd (10 yards from the hut to the gold coins)
Simplify (2^3)^-2
-1/64
1/64
2
64
Answer:
1/64
Step-by-step explanation:
Answer:
B edge 2022
Step-by-step explanation:
A certain population increases at a rate proportional to the square root of the population. If the population goes from 2500 to 3600 in five years, what is the population at the end of t years
Answer:
[tex]P(t) = (2t + 50)^2[/tex]
Step-by-step explanation:
A certain population increases at a rate proportional to the square root of the population.
This means that the population can be described by the following differential equation:
[tex]\frac{dP}{dt} = r\sqrt{P}[/tex]
In which r is the growth rate.
Solving by separation of variables, we have that:
[tex]\frac{dP}{\sqrt{P}} = r dt[/tex]
Integrating both sides:
[tex]2\sqrt{P} = rt + K[/tex]
In which K is a random constant
[tex]\sqrt{P} = 0.5rt + K[/tex]
Finding the squares of both sides:
[tex]P(t) = (0.5rt + K)^2[/tex]
Finding the value of K
The initial population is of 2500. That is, when [tex]t = 0, P = 2500[/tex]. So
[tex]P(t) = (0.5rt + K)^2[/tex]
[tex]2500 = (0.5r(0) + K)^2[/tex]
[tex]K^2 = 2500[/tex]
[tex]K = \sqrt{2500}[/tex]
[tex]K = 50[/tex]
So
[tex]P(t) = (0.5rt + 50)^2[/tex]
Finding the value of r
Population of 3600 in 5 years(when t = 5). So
[tex]P(t) = (0.5rt + 50)^2[/tex]
[tex]3600 = (0.5r(5) + 50)^2[/tex]
[tex](2.5r + 50)^2 = 3600[/tex]
Taking the square root of both sides
[tex]\sqrt{(2.5r + 50)^2} = \sqrt{3600}[/tex]
[tex]2.5r + 50 = 60[/tex]
[tex]2.5r = 10[/tex]
[tex]r = 4[/tex]
So, the equation for the population at the end of t years is given by:
[tex]P(t) = (0.5rt + 50)^2[/tex]
[tex]P(t) = (0.5(4)t + 50)^2[/tex]
[tex]P(t) = (2t + 50)^2[/tex]
I really need help ASAP
help plz answer the question plzzz
1 + 33x = 12
What is X
Please Help me
Answer:
1+33x=12
-1 -1
33x=11
33 33
x=0.3
:)
I NEED HELP! Reflections! Please and thank you.
When reflecting across the x axis, the x values remain the same and the y values become the opposite of the original.
P' = (0,-3)
F' = (4,-2)
M' = (2,3)
Q' = (-2,2)
which fraction is equivalent to 70/100
Answer:
710
Step-by-step explanation:
4 of 8
?
Find the LCM of 9 and 3
Answer:
the lcm of 4 and 8 is 8 and the lcm of 9 and 3 is 9
Step-by-step explanation:
hope this helpes you out
1.4(4.4x2.3) how do I distribute this
Answer:
14.168
Step-by-step explanation:
4.4 times 2.3= 10.12
1.4(10.12) = 14.168
Can someone help with this mapping function I need help !
Answer:
A
Step-by-step explanation:
X's cannot have multiple outputs (y's) but y's can. The only one that prove thia is the case is A
Suppose that $6500 is placed in an account that pays 17% interest compounded each year. Assume that no withdrawals are made from the account.
Answer: $7,605
Step-by-step explanation:
At the end of 1 years, the amount in the account will be:
= Principal * (1 + rate)^ no. of periods
= 6,500 * (1 + 17%)
= $7,605
Factor 49z + 28. Write your answer as a product with a whole number greater than 1.
Answer:
87z
Step-by-step explanation:
You have a box of chocolates (30 chocolates in the box). 15 are filled with caramel, 10 are filled with chocolate, and 5 are filled with cream. You and a friend pick a chocolate at random. What is the probability that you both pick chocolate
Answer:
10.34% probability that you both pick chocolate
Step-by-step explanation:
A probability is the number of desired outcomes divided by the number of total outcomes.
In this question, it is not important if you or your friends picks first. So we use the combinations formula to find the number of desired and total outcomes.
Combinations Formula:
[tex]C_{n,x}[/tex] is the number of different combinations of x objects from a set of n elements, given by the following formula.
[tex]C_{n,x} = \frac{n!}{x!(n-x)!}[/tex]
Desired outcomes:
10 are filled with chocolate, and we want to pick 2. So
[tex]D = C_{10,2} = \frac{10!}{2!(10-2)!} = 45[/tex]
Total outcomes:
The box has 30 chocolates, and 2 are picked, so:
[tex]T = C_{30,2} = \frac{30!}{2!(30-2)!} = 435[/tex]
Probability:
[tex]P = \frac{D}{T} = \frac{45}{435} = 0.1034[/tex]
10.34% probability that you both pick chocolate
Solve.
8d + 6 = 22
d =
The length of a rectangle is four more than its width. If the area of the rectangle is 12, find the length of the rectangle.
Answer:
I don’t know but I have the same question with different numbers
Step-by-step explanation:
Jada went to the mall yesterday with $30.
• She spent 2/5 of her money on a new purse.
She spent / of what was left at the food court.
• She gave $5 to her friend.
How much did she have left?
A ladder leans against the side of a house. The angle of elevation of the ladder is 73°, and the top of the ladder is 14 ft above the ground. Find the distance from the bottom of the ladder to the side of the house. Round your answer to the nearest tenth.
Answer:
4.3 feets
Step-by-step explanation:
Given that:
Angle of elevation = 73°
Horizontal distance from foot of ladder to bottom of wall = x feets
Height of ladder = 14 feets
The horizontal distance, x :
Using trigonometry :
Tan θ = opposite / Adjacent
Tan θ = 14 / x
Tan 73 = 14 / x
3.2708526 * x = 14
x = 14 / 3.2708526
x = 4.2802295
x = 4.3 feets
9. If you borrow $200 at 10% for seven years, how much will you pay back by the end of the term?
Answer:
You will have to pay 140 dollars.
Step-by-step explanation:
Go onto calculator soup and look up simple interest calculator. :)
Solve the equation using the Distributive Property:
3(x+8) =
3x + 24 =
3x =
9x =
Answer: 3x=-24
9x is 3(3x)= 3(-24)
9x=-72
X=-8
Step-by-step explanation:
If -xy – 5+ y^2+ x^2= 0 and it is known that dy/dx= y-2x/-x+2y, find all
coordinate points on the curve where x = -1 and the line tangent to the
curve is horizontal, or state that no such points exist.
Answer:
There is no point of the form (-1, y) on the curve where the tangent is horizontal
Step-by-step explanation:
Notice that when x = - 1. then dy/dx becomes:
dy/dx= (y+2) / (2y+1)
therefore, to request that the tangent is horizontal we ask for the y values that make dy/dx equal to ZERO:
0 = ( y + 2) / (2 y + 1)
And we obtain y = -2 as the answer.
But if we try the point (-1, -2) in the original equation, we find that it DOESN'T belong to the curve because it doesn't satisfy the equation as shown below:
(-1)^2 + (-2)^2 - (-1)*(-2) - 5 = 1 + 4 + 2 - 5 = 2 (instead of zero)
Then, we conclude that there is no horizontal tangent to the curve for x = -1.
Fake Question So It Doesn't Get Taken Down (What is the gemological answer for 5.87 x 7?) Real Question: Whats something i could watch on Netflix?
So numberone.....
haikyuu: its really good but its does cuss a bit.
MakoMermaids: LOLOLOL this one is kinda a joke-but itsgood
Work It:I totally recommend this one! Its a funny movie about a girl starting a dance group. Its great.
One day your parents will die then you will then your children will then your grand children and so on thats how it feels to be dead do you want to be with your family or not
Answer:
Yes that is truth that you have wrote
Answer:
ya but am always with them so i dont worryStep-by-step explanation: