Answer:
The house would be worth £89989.12 in January 2015.
Step-by-step explanation:
With respect to the optimistic forecast, the value of the house will increase by 4% per year.
For the first year (January 2012 to January 2013),
4% of £80000 = 0.04 x £80000
= £3200
The cost of the house = £80,000 + £3200
= £83200
For the second year (January 2013 to January 2014), we have;
4% of £83200 = 0.04 x £83200
= £3328
The cost of the house = £83200 + £3328
= £86528
For the third year (January 2014 to January 2015), we have;
4% of £86528 = 0.04 x £86528
= £3461.12
The cost of the house = £86528 + £3461.12
= £89989.12
According to the forecast, the house would be worth £89989.12 in January 2015.
write:
3^-4 in standard form
Answer:
[tex]\frac{1}{81}[/tex]
Step-by-step explanation:
Key skills: Exponents + Fractions
Use the negative exponent property. If your number is x^-y then it would be the same as 1/x^y
3^-4 is the same as [tex]\frac{1}{3^{4}}[/tex]
3^4 is 81, so your answer would be 1/81.
Hope you have a nice day and understood this!
Help me with this pls
Answer:
n=2
Step-by-step explanation:
-4n - 8 = 4(-3n + 2)
-4n - 8 = -12n + 8
8n = 16
n = 2
12d^4/3d^2 shdhshbdbsnsns
Answer:
zip p0quo6or0r7ut t if
Step-by-step explanation:
ye at rdlrj8hj0
Answer:
[tex]4d^{2}[/tex]
Step-by-step explanation:
Divide the numbers like usual:
12/3 = 4
Note that when you divide powers with common base, you are actually subtracting the power:
[tex]\frac{d^{4} }{d^{2} } = d^{4 - 2} = d^{2}[/tex]
Combine the two for your answer:
[tex]4d^{2}[/tex] is your answer.
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The correct answer is y < 18. Let's pretend a student forgot to flip the symbol and they mistakenly believe the solution set is y > 18. They check 21 since 21 is greater than 18, and they think that y has to be greater than 18. When they do their check, what will the final line of the check say? Is this a true statement?
Answer:
It is wrong
Step-by-step explanation:
y < 18
This is read as y is less than 18. If the students forgot to flip the symbol and mistakenly believe that y > 18.
y > 18
This is read as y is greater than 18.
There is a difference between the numbers greater or less than 18 .
y must have numbers less than 18 and 21 is greater than 18.
Therefore it is wrong.
But to make it true we can multiply minus with the inequality y > 18
-y > -18
This reverses the inequality sign and it becomes
y< 18
The solution which is required.
When the manager of Fantastic Furniture buys a sofa from a manufacturer, she uses a markup of 45% of her cost to set the selling price of the sofa. What will be the selling price if the manager of Fantastic Furniture buys a sofa for $400? Show your work explain your reasoning.
Answer:
Selling price= $580
Step-by-step explanation:
eGiving the following information:
Buying price= $400
Mark-up percentage= 45% = 0.45
The manager applies a mark-up equivalent to 45% of the buying price. First, we need to determine how much is 45% of the cost.
Mark-up= buying price* Mark-up percentage
Mark-up= 400*0.45
Mark-up= $180
Now, the selling price:
Selling price= 400 + 180
Selling price= $580
please any one knows the answer I only have 2 minutes left
What five-letter word becomes shorter when you add two letters to it?
Answer:
short .
short becomes shorter when you add er .
Step-by-step explanation:
Answer:
shorter
Step-by-step explanation:
short
shorter
Select all of the following equations the number 30 will make true.
A. 270 ÷ □ = 9
B. 1,200 ÷ □ = 400
C. 9,000 ÷ □ = 300
D. 600 ÷ □ = 200
E. 330 ÷ □ = 110
height versus age domain and range
Answer:
While there is a strong relationship between the two, it would certainly be ridiculous to talk about a tree with a circumference of –3 feet, or a height of 3000 feet. When we identify limitations on the inputs and outputs of a function, we are determining the domain and range of the function.
Step-by-step explanation:
is o.16 in root a rational or irrational
Answer:
[tex]\sqrt{0.16}[/tex] is a rational number
Step-by-step explanation:
[tex]\sqrt{0.16}=\sqrt{\frac{16}{100}}=\frac{4}{10}=0.4[/tex]
It is a perfect square. so, it is a rational number
A middle school took all of its 6th grade students on a field trip to see a play. The students filled 816 seats, which was 48% of the total number of seats in the theater. How many total seats were in the theater?
Answer:
4900
Step-by-step explanation:
BYHELPINGME
if you ate 56 hotdogs in 7 minutes how much would you eat per minute
Answer:
8 hot dogs
Step-by-step explanation:
[tex]8*7=56\\[/tex]
Answer:
You could Eat 8 in a minute.
Step-by-step explanation:
divide 56 by 7.
Feels impossible to be honest. I have no idea.
Is -4 rational or irrational
It’s a Rational number
PLEASE HELP ASAP I WILL MARK BRAINLIEST IF THERE ARE MULTIPLE ANSWERS!!!!!
Please graph the solution of x+8≥9 and take a picture
Answer:
Attached
Step-by-step explanation:
x+8≥9
x ≥ 9-8
x ≥ 1
picture one is two dimension and picture 2 is number line
What is the domain of the function graphed?
A){x: x≤4}
B) {x: x≥2}
C) {x: x≤2}
D) all real numbers
Answer:
D) all real numbers
Step-by-step explanation:
which is larger -1.5 or -3 1/2
Answer:
-1.5
Step-by-step explanation:
Answer:
-1.5
Step-by-step explanation:
sorry if I'm wrong
A building casts a shadow 100 m long. At the same time, a nearby pole 4 m high casts a shadow 8 m long. What is the height of the building? Round your answer to the nearest tenth, if necessary.
Answer:
50m
Step-by-step explanation:
Calculation for the height of the building
First step:
Let x represent the building height
Second step:
100m/8m = x/4
Third step is to Cross multiply:
100m(4) = 8x
400m= 8x
x=400m/8
x=50m
Therefore the height of the building will be 50m
Please don’t ignore I really need some help on this
Answer:
38.22
Step-by-step explanation:
Remark
You take the discount first. Most places apply a sales tax only when money changes hands (or it should be that way).
Discount
45.50 * 20/100 = 9.10
45.50 - 9.10 = 36.4
Sales Tax
46.4 * 5/100 = 1.82
Total Cost
Total Cost after the discount = 36.4 + 1.82 = 38.22
(4f-5+2g)-(6g+4)
change to standard form
Answer:
4f-4g-9
Step-by-step explanation:
first I did i put 4f cuz u can't do anything to it so then I subtract 2g-6g you will get -4g and then add -5 +4=-9
hope this helps
Find the area of the shaded sector. Round to the nearest hundredths place.
SR= 26 m
Answer: 315.45 m^2
Step-by-step explanation:
We know that the area of a circle is written as:
A = pi*R^2
Where:
pi = 3.14
R = radius of the circle.
In this case, we know that SR (the diameter) is equal to 26m
And the radius is half of the diameter, then:
R = 26m/2 = 13m
Now, in the image we can see that we have half of the circle shaded, the area of that part will be equal to half the area of a complete circle, then the area of that part is:
A = (1/2)*3.14*(13m)^2 = 265.33 m^2
We also can see that we have a small arc shaded.
The area of a given arc of an angle θ, is given by:
A = (pi*R^2)*(θ/360°)
Now we want to find the angle of this arc, that is the angle:
∠PQ
We know that:
∠SR = 180° (this is a straight line)
∠RQ = 73°
and i assume that:
∠PS = 73°
if we look at the image, we can see that we must have:
∠QR + ∠PQ + ∠SP = ∠SR
73° + ∠PQ + 73° = 180°
∠PQ = 180° - 2*73° = 34°
Then the area of the small arc is:
A' = (3.14*(13m)^2)*(34°/360°) = 50.12 m^2
The total shaded area is equal to the sum of the two areas we calculated, this is:
Total area = A + A' = 265.33 m^2 + 50.12 m^2 = 315.45 m^2
PLS HELP WITH THESE ASAP
Step-by-step explanation:
For a
the solution is x>-17
For b
the solution is x<-1
For c
solve by adding 5.5 to each side
For d
solve by dividing each side by 2.5
III. Round each decimal to the indicated place,
Nearest Hundredths
Nearest Thousandths
Decimal Number
98.9834
45,4536
3 65.1263
4 76.1267
12.4519
Answer:
See rounded numbers below
Step-by-step explanation:
Number | Nearest Thousandths | Nearest Hundredths | Decimal Number
98.9834 | 98.983 | 98.98 | 98.9
45.4536 | 45.454 | 45.45 | 45.5 |
3 65.1263 | 365.126 | 365.13 | 365.1
4 76.1267 | 476.127 | 476.13 | 476.1
12.4519 | 12.452 | 12.45 | 12.5
Which expression is equivalent to 5(4k+7)?
A. 5(7+4k)
B.7(5k+4)
C.35k+20
D.4k+35
Answer:
A. 5(7+4k) = 35+ 20k
This is the same as 5(4k+7)
20k+35 is equal to 35+20k
Solve for x, round to the nearest tenth of a degree (timed help me PLEASE!!!)
Answer:
yo
o.1 like it please o.1
The value of x is 63.435, which is 60 round to the nearest tenth of a degree.
Given:
Height = 40 feet.
Distance =20 feet.
To find the value of x.
sinθ = hypotenuse/opposite.
cosθ = hypotenuse/adjacent.
tan θ = opposite/adjacent.
tan θ = 40/20 = 2
θ = tan ⁻(2) = 63.435
Therefore, 60 for x round to the nearest tenth of a degree.
Learn more about Application of trigonometry here:
https://brainly.com/question/11687813
#SPJ2
Phil Lanthropist won a great deal of money in a contest. He gave 20% of his winnings to his parents, 25% of the remaining money to his children, and the remaining $900,000 to his favorite charity. What was the total number of dollars that Phil won?
Answer:
$1,636,363.64
Step-by-step explanation:
let x = total amount of money received
the total amount he received is 100%
Percent remaining after giving a percent of the money to family = 100% - 20% - 25% = 55%
This means that 55% of x = $900,000
To find the value of x, divide both sides by 55% or 0.55
x = $900,000 / 0.55 = $1,636,363.64
In the function y = x, if y = -8, what is x equal to?
Answer:
x = -8
Step-by-step explanation:
[tex]y =x[/tex]
If y = -8 — Substitute y = -8 in the equation.
[tex] - 8 = x[/tex]
Therefore, our x is -8 when y = -8
Answer:
x=-8
Step-by-step explanation:
Let's solve your system by substitution.
y=x; y=−8
Rewrite equations:
y=−8; y=x
Step: Solve y=−8 for y:
y=−8
Step: Substitute −8 for y in y=x:
y=x
−8=x
−8+−x=x+−x(Add -x to both sides)
−x−8=0
−x−8+8=0+8(Add 8 to both sides)
−x=8
-x/-1 = 8/-1
x=-8
Here is the graph. Anyways, hope this helped! If you can, can you give me brainliest?! Have a great day!!
Find the values of a and b such that x^2 + 2x - 7 = (x + a)^2 + b URGENT! *silly answers will be reported
Answer: b=−a2−2ax+2x−7
When you said, “Find the values of a and b” I can do B and that all...
Step-by-step explanation: hope this help
A couch and coffee table cost a total of $1167. The cost of the couch is two times the cost of the coffee table. Find the cost of each item.
Answer:
The couch is $778 and the table is $389
Step-by-step explanation:
PLEASE HELP ME WITH THIS ASAP
Answer:
92.736
Step-by-step explanation:
Answer:
92.736 square feet
Step-by-step explanation:
Area is length times width
4.8 x 19.32 = 92.736 Square feet
At the local dairy farm, Kareem buys a 32-oz container of yogurt for $2.56. Jonah buys a 6-oz container of yogurt for $0.48. Are the cost, y, in dollars and the amount of yogurt, x, proportional? Explain. Write an equation to represent this relationship.
Answer:
Yes, the cost y in dollars and the amount of yogurt are proportional.
The equation is: y = 0.08x
Step-by-step explanation:
1. If y varies directly as x, you can write it as following: y = kx
Where k is the constant of proportionality.
2. Let's calculate the value of the constant of proportionality. If y = 2.56 and x = 32, you have:
y = kx
k = y/x
k = 2.56/32
k = 0.08
3. Then, the equation is: y = 0.08
4. Let's verify if they are directly proportional. Substitute which is the amount of yogurt bought by Jonah. The result must be $0,48:
y = 0.08 (6)
y = 0.48
5. They are directly proportional.
2 trains leave from the same point and travel along straight tracks that differ in direction by 72ﾟ. If their speeds are 64 miles per hour and 52 miles per hour approximate how far apart they will be after 30 minutes
Answer:
34.44 miles
Step-by-step explanation:
Distance covered bty the two trains :
Distance = speed * time
Time = 30 minutes = 0.5hr
Distance of train 1 = 64 * 0.5 = 32 miles
Distance of train 2 = 52 * 0.5 = 26 miles
Included Angle = 72°
Using cosine rule :
a² = b² + c² - 2bcCosA
Let Distance between the trains after 30 minutes = a
a^2 = 32^2 + 26^2 - 2(32)(26) * Cos(72)
a^2 = 1700 - 514.20427
a^2 = 1185.7957
a = sqrt(1185.7957)
a = 34.435
a = 34.44 miles