The question is incomplete. The complete question is :
George, Matthew and Isabelle invest money in a savings account, which pays compound interest of 3% p.a.
a). George invested £ 4800. Work out the total value of his investment after 5 years.
Solution :
It is given that :
George invested amount of, P = £ 4800
Time of investment, t = 5 years
Rate of interest, r = 3 % p. a.
The total value will be :
[tex]$A=P(1+\frac{r}{100})^t$[/tex]
[tex]$A=4800(1+\frac{3}{100})^5$[/tex]
[tex]$A=4800\times (1.03)^5$[/tex]
[tex]A = 4800 \times 1.1592[/tex]
= 5564.16
Therefore the total value after 5 years = £ 5564.16
answer this quickly plx
Answer:
10x+200[tex]\leq[/tex]375
Step-by-step explanation:
subtract 200 from both sides
10x[tex]\leq[/tex]175
divide both sides by 10
x[tex]\leq[/tex]17.5 cars
Jesse must wash atleast 17.5 cars to afford the bike.
30 points please help!
Answer:
function:
graph and table A and B
not function:
mapping A and B
PLEASE I NEED HELP ON This Please
Answer:
33
Step-by-step explanation:
The pattern is y = 5x + 8.
So, plugging in 5 for x gives you y = 5(5) + 8 = 33.
* A helicopter's altitude changes by – 28 ft in 3 s.
What is the average change in the helicopter's altitude
each second? Show your work.
Answer:
-9.33 ft per second
Step-by-step explanation:
To calculate this, you just have to divide -28 by 3. When doing this, it will give the change per second or for every 1 second.
-28/3 = -9.33
Therefore, the average change in the helicopter's altitude each second is -9.33 ft.
Please help me with these questions ..... sorry if it’s a lil blurry
Answer:
1. 8
2. 7
3. 8/3
4. c 27
Step-by-step explanation:
1. Find 1 26/2=13 104/13=8
Just find the unit rate to help you solve
I need help like I really dont know how to do this i need help fast
Answer:
44 units² or 44 units squared
There really isn't a preference of units, like inches or meters, so you can add that in.
Step-by-step explanation:
Haha, this is what we're doing in class!
Okay, so the formula for a trapezoid is A= ½ (b1+b2) h
14= b1
8= b2
Add them... You get 22. Multiply that by the height, which is 4. You should get 88. Then divide by 2. You should get 44.
Here's some helpful notes:
I hope this was helpful!
What is this, (2r-1)(r-1)? I'm so confused.
Answer:
It looks like the factored form of a polynomial
Step-by-step explanation:
In unfactored form, it would be this:
2r^2 + -2r + 1
May someone please help me with this :)
Answer:
24
Step-by-step explanation:
6+8=14 14+10=24
the sum of two rational numbers is -8 1/4. if one of the numbers is -5 2/3, find the other number.
Answer:
-2 7/12
Step-by-step explanation:
Let x represent the unknown number.
x + (-5 2/3) = -8 1/4
Adding 5 2/3 to both sides of the equation tells us ...
x = 5 2/3 -8 1/4 = -2 7/12
The other number is -2 7/12.
_____
The difference can be found as ...
-(8 1/4 -5 2/3) = -(8 3/12 -5 8/12) = -((8 -5) +(3/12 -8/12)) = -(3 -5/12)
= -(2 7/12)
name the property of: 3x + 2=2 + 3x
write an exponential function to describe the given sequence of numbers
2, 4, 8, 16, 32
the correct answer is HIGHLY appreciated, ill give brainliest if its *correct*
Answer:
The next one is 64. Can you mark branliest if it's right?
Answer:
F(x) = x^1 * 2
Step-by-step explanation:
helpp please! i don't understand this
Answer:
Step-by-step explanation:
Remark
This is actually a six sided figure. That really doesn't matter, but it's interesting to observe. It goes a long way to explaining what is going on. The trick to exterior angles is that as long as the figure is convex ( a closed figure whose lines do not cross), the exterior angles add to 360.
Once you know that, then you know that this figure must have 6 exterior angles and no matter how they are made, their total is 360.
Equation
n + n + n + n + 90 + 90 = 360 Combine like terms.
Solution
4n + 180 = 360 Subtract 180
4n = 360 - 180
4n = 180 Divide both sides by 4
4n/4 = 180/4
n = 45
Note
Not a simple problem. Thanks for posting
Sammy and Jean are packing bags of candies for a party. They have 152 candies and want to put 12 candies in each bag. Write a fraction to show how many bags can they fill.
Answer:
You'll be able to 12 & 6/10 of the bags
Step-by-step explanation:
The rounded version is 12 but since there is a decimal you'll then translate it into a fraction I got the answer I did by dividing 152 by 12 then getting the answer of 12.6666~ I translated the decimal into a fraction
Answer:
6/10 I believe :)
Step-by-step explanation:
Directions: (a) Identify the parent function and (b) describe the transformations.
Can someone help me on this
Answer:
the answers are
8) e. opposite sides
9) d. vertices
10) c. opposite angles
11) b. diagonals
12) a. consecutive sides
Answer the photo below thanks
Step-by-step explanation:
3 of the 4 options aren't prisms
A is a cuboid
B is a cube
C is a prism
D is a pyramid
Answer:
The answer is D.
I hope this helps.
Have nice day/night!!!!(wherever you are)
Please help answer correctly !!!!!!!! Will mark Brianliest !!!!!!!!
Answer:
Step-by-step explanation:
(4,3) and (6,9)
difference of x-coordinates = 6-4 = 2
difference of y-coordinates = 9-3 = 6
distance between points = √(2²+6²) = √40 = 2√10
Sin(45^degrees)=13/x
Answer:
x = 18.38
Step-by-step explanation:
sin 45 = 13/x
0.7071 = 13/x
x = 18.38
This is the pond in a shape of a prism, it is completely full of water. Colin uses a pump to empty the pond. The level goes down by 20cm in the First 30min Work put how many minutes Colin has to wait for the pond to completely empty
Answer:
150 minutes
Step-by-step explanation:
P.S - The exact question is -
Given - This is the pond in a shape of a prism, it is completely full of
water. Colin uses a pump to empty the pond. The level goes
down by 20 cm in the first 30 min.
To find - Work put how many minutes Colin has to wait for the pond
to completely empty.
Proof -
Given that,
Height of prism = 1 m
Also,
Base of the prism is trapezium and
Sides of the trapezium are 0.6 m and 1.4 m
Height of trapezium is 2 m
We know that,
Area of trapezium = [tex]\frac{1}{2}[/tex]× (sum of sides)× height
= [tex]\frac{1}{2}[/tex]× (0.6 + 1.4)× 2
= [tex]\frac{1}{2}[/tex]× (2)× 2
= 2 m²
⇒Area of trapezium = 2 m²
Now,
Volume of prism = Area of trapezium × height of prism
= 2 m² × 1 m
= 2 m³
⇒Volume of prism = 2 m³
Now,
Given that the level goes down by 20 cm in the first 30 min
We know
100 cm = 1 m
⇒1 cm = [tex]\frac{1}{100} m[/tex] = 0.01 m
⇒20 cm = 20×0.01 m = 0.2 m
⇒The level goes down by 0.2 m in the first 30 min.
Also,
we know that height of water = height of prism = 1 m
So, the remaining water left in the pond = 1 m - 0.2 m = 0.8 m
Also,
Volume of Remaining water = Area of trapezium × height
= 2 m² × 0.8 m
= 1.6 m³
⇒Volume of Remaining water = 1.6 m³
Now,
Volume of emptied water = Total Volume - Volume of Remaining water
= 2 m³ - 1.6 m³
= 0.4 m³
⇒Volume of emptied water = 0.4 m³
Now,
0.4 m³ water will be empty in 30 minutes
⇒ 1 m³ water will be empty in [tex]\frac{30}{0.4}[/tex] = 75 minutes
⇒1.6 m³ water will be empty in 1.6 × 75 = 120 minutes
∴ we get
The remaining water is empty in 120 minutes
So,
Total pond is empty in 120 + 30 minutes
⇒Total pond is empty in 150 minutes
16 What value could you put in place of the x to make it a function? * (8, 7) (7,-6) (-4,5) (x, 9)
a) 8
b) 7
c) 9
d) -4
Answer:
(c) 9
Step-by-step explanation:
You can't have a repeated x-value in a function.
8 is taken by (8, 7)
7 is taken by (7,-6)
-4 is taken by (-4, 5)
9 is the only number that is not taken by any other point yet.
Remember that for a relationship to be a function it can't have repeated x-values. However, it doesn't matter to have the same x and y values!
Hope this helped!
4 times (12-8) + 2^3. (2 to the 3rd power)
Answer:
It's 48. Heres why:
Step-by-step explanation:
Our equation, I believe, is 4[(12-8) + 2³]. We can do the operations in the parenthesis:
4[(4)+8] (12-8 = 4, and 2³ is 8). If we add 4 + 8, we get 12. Multiply 12 by 4, we get 48.
Which property of equality is used to solve LaTeX: -15.75=2.5x− 15.75 = 2.5 x ?
Answer:
any want zo. om. id=2139350377
pass=7neBw6
15 is 125% of what number
Answer:
12 12 12 is the answer
Step-by-step explanation:
Answer: 12.
Answer:
15 is 125% of 12.
Step-by-step explanation:
Renee bought a magazine subscription for a year. She paid $27. Renee wanted to find the price, p, of the subscription each month. She created the model shown to help find this price.
angle relations
A) 73°
B) 149°
C) 163°
D) 31°
Answer:
D
Step-by-step explanation:
those angles are vertical angles so they are congruent.
I can't figure this out, anyone know??!!!
Answer: (a+b)2=9. a2+2ab+b2=9
Step-by-step explanation:
On a certain hot summer day, 431 people used the public swimming pool. The daily prices are 1.50 for children and 2.00 for adults.The receipts for admission totaled to $825.50. How many children and how many adults swam at the public pool that day?
Answer:
the no of children and no of adults swam that day is 73 and 358 respectively
Step-by-step explanation:
Let us assume the no of children and no of adults swam that day be x and y
Now as per the question
The following equations are
x + y = 431
we can write as
x = 431 - y
1.50x + 2y = $825.50
1.50(431 - y) + 2y = $825.50
646.50 - 1.50y + 2y = 825.50
0.5y = 179
y = 358
And x = 431 - 358
= 73
Hence, the no of children and no of adults swam that day is 73 and 358 respectively
Explain how many cupcakes Jasmine can make if she had 5 1/4 cups of frosting but needs 3/8 cups for each cupcake
Answer:
jasmine can make 14 cupcakes
Step-by-step explanation:
5 1/4 = 5.25
3/8 = 0.375
5.25/0.375 = 14
ivy has opened a new bake shop in town, Ivy sells pies for 13$ and spends 1,103 in rent per month . How many pies does Ivy need to sell to make 1,146 in profits this month?
Answer: She needs to sell exactly 173 pies.
Step-by-step explanation: Don't ask me how, but I'll tell you this 1. it wasn't easy and 2. It took me FOREVER. So conclusion- be happy.
Task 3:
A frog sitting on a stump 4 feet high hops off and lands on
the ground. During her leap, the frog's height h in feet is
given by the equation h = -0.5d2 + d + 4, where d is the
horizontal distance in feet from the base of the stump.
A: What was the frog's maximum height?
B: How far from the stump did the frog land?
C: What was the frog's horizontal distance
from the log at her maximum height?
Answer:
A. 4.5 ft
B. 4 ft
C. 1 ft
Step-by-step explanation:
If you pretend that h is replacing y and d is replacing x and you would graph the equation, then you would get a parabola that opens down.
You would need to find the vertex of the parabola. The ordered pairs would be (d, h) instead of the normal (x, y).
A. The maximum height will be the h value of the vertex
B. Let h = 0 and solve the equation for d. That will give you distance from the stump that the frog landed.
C. The distance from the log at the maximum height is the d value of the vertex
So, that is what is needed to be done.
Without me going thru all the work, the vertex is (1, 4.5) and the solutions to the equation when h = 0 are 4, -2 (discard -2 since a distance cannot be negative)
So the answer to A is 4.5 ft.
The answer to B is 4ft.
The answer to C is 1 ft.
Now, can you find the vertex on your own and can you solve the equation when h = 0? I hope so. OK?
A function assigns the values. The maximum height will be when the horizontal distance is 1feet from the log.
What is a Function?A function assigns the value of each element of one set to the other specific element of another set.
A.) The maximum height of the frog,
h = -0.5d²+d+4
dh/dd = -0.5(2d)+1
dh/dd = -d+1
0=-d+1
d = 1
The maximum height will be when the horizontal distance is 1feet from the log.
h = -0.5(1)² + 1 + 4
h = -0.5 + 1 + 4
h = 4.5
Hence, the maximum height of the frog will be 4.5 feet.
B.) The Distance between the frog and the stump when the frog land can be found,by putting h=0.
0 = -0.5(d)²+ d + 4
d²-2d-8=0
d²-4d+2d-8=0
d(d-4)+2(d-4)=0
d = 4, -2
Since the distance can not be negative, the frog is 4 feet away from the stump when the frog land.
C.) The maximum height will be when the horizontal distance is 1feet from the log.
Learn more about Function:
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