Answer:
Step-by-step explanation:
To calculate the compound interest we want to multiply the amount of money (£4700) by the interest (6%) which would be the percentage multiplier!
To get the new amount we do:
Original amount × (percentage multiplier)ⁿ
The amount of years would be the indices.
For the first year:
£4700x1.06= £4982.
But we want to find out how much she will have altogether in different years.
So for two years:
£4700x1.03²= £5280.90 (rounded)
As you can see the amount of years will be the indices with the interest as our multiplier.
We do this again for 5 years and 10 years:
£4700x1.06⁵= £6289.70 (rounded)
£4700x1.06¹⁰=£8416.20 (rounded)
Hope this helps!
Argent deadline is tomorrow a²-(b-c)²
Answer:
[tex]a^2 - ( b- c)^2 = a^ 2- b^2 - c^2 +2 bc[/tex]
Step-by-step explanation:
[tex]Using \ (x - y)^2 = x^2 - 2xy + y^2[/tex]
[tex]a^2 - (b - c)^2 = a^2 - ( b^2 - 2bc + c^2 ) = a^2 - b^2 + 2bc - c^2 = a^2 - b^2 - c^2 + 2bc[/tex]
identify the center and radius of the circle with equation.
( please help me )
Answer:
Center = (4, -5)
radius = 6
======================================================
Explanation:
The general template of any circle is
(x-h)^2 + (y-k)^2 = r^2
Rewrite the given equation into this form
(x-4)^2 + (y- (-5))^2 = 6^2
We can see that (h,k) = (4,-5) is the center and r = 6 is the radius.
If the abscissa of a point is negative , then in which all quadrants the point can lies?
Answer:
The point can either lie on the second quadrant or the third quadrant
Step-by-step explanation:
Mathematically, we have the ordinate and the abscissa
The ordinate represents the y axis while the abscissa represents the x axis value
For the abscissa to be negative, it means we are talking about the negative x axis
Now, the y axis can either be positive or negative too
When it is positive , we are referring to the point lying on the second quadrant
when it is negative, we are referring to the point lying on the third quadrant
Find the mean, median, mode, and standard
deviation of the quiz scores:
20, 58, 74, 77, 77, 85, 86, 90, 95, 98
Answer:
Step-by-step explanation:
mean = sum of data / no of data
20 + 58 + 74 + 77 + 77 + 85 + 86 + 90 + 95 + 98 / 10
760 / 10
76
to find median u should arrange the data from ascending to descending order.
since the given data is already arranged u dont need to change.
median = (N + 1)/2 (N means no of data)
=10 + 1 / 2
=11 / 2
=5.5
= 5 th term + 6 th term /2
=77 + 85 /2
=162 / 2
=81
mode means most repeating number . so in this given data 77 is repeated two times while others occured just one times . so the mode of the given data is 77.
Mode = 77
Which statements about this system of equations are true? Check all that apply. Negative x + 6 y = 16. 8 x minus 6 y = negative 2.
Step-by-step explanation:
The given equations are :
-x+6y = 16 ...(1)
8x-6y = -2 ...(2)
The y-variable will be eliminated when adding the system of equations.
Adding equations (1) and (2).
-x+6y+8x-6y = 16+(-2)
7x = 14
x = 2
Put the value of x in equation (1).
-2+6y = 16
6y = 16+2
y = 3
There is only one solution to the system of equations i.e. (2,3).
literally help meee because I don't understand
Answer and Step-by-step explanation:
You are being asked to find the area of a trapezoid. The area of a trapezoid is:
[tex]\frac{a+b}{2}[/tex] × h
Where:
a = Top base
b = Bottom base
h = Height
Plug in the values given to you via from the page.
[tex]\frac{7+11}{2} (3)\\\\\\\frac{18}{2}(3)\\\\(9)(3) = 27[/tex]
The answer (the area) is 27 [tex]cm^2[/tex].
#teamtrees #PAW (Plant And Water)
If 1 is added in numerator and denominator then a fraction changes to 4. If 1 is subtracted from the numerator and denominator, fraction changes to 7. Numerator of the fraction is
Answer:
N=15
Step-by-step explanation:
N=numerator
D=denominator
(1+N)/(1+D)=4
(N-1)/(D-1)=7
(1+N)=4(1+D)
N=4D+3
(4D+3-1)/(D-1)=7
4D+2=7(D-1)
4D-7D=-2-7
D=-9/-3=3
N=4D+3=15
Henri bought 3 jars of spaghetti sauce. He used a coupon that reduced the cost of each jar by $0.75. If he paid $6.72 altogether, what was the regular price?
Answer: $8.97
Step-by-step explanation:
he bought three jars and lowered the price by 75 cents for each, so multiply $0.75 by three
$0.75 * 3 = $2.25
so henri saved $2.25 in total
we can add that to what he paid to find the original cost
$6.72 + $2.25 = $8.97
so the original price was $8.97 :)
i have no idea what i’m doing
Answer:
f(x)=x^2+1 -> f(a+1)=(a+1)^2+1=a^2+2a+1+1=a^2+2a+2
Step-by-step explanation:
what is the value n ?
Answer:
nutella
Step-by-step explanation:
How many bags of concrete are needed to fill the path 1m3 requires 106 x 20kg bags of concrete The pond is 7m diameter and the path around is 2m 50mm deep
Answer:
300 Bags
Step-by-step explanation:
According to the Question,
Given that, We are laying a concrete border around a circular pond. The pond is 7 metres in diameter and is surrounded by a path 2 metres wide.The radius of the pool = 3.5 m; the overall radius including the border = 3.5 + 2 = 5.5m
The area of the concrete borderoverall area - pool area = border area(A)
A = π×5.5² - π×3.5²
A = 56.55 sq m
The concrete needs to be 50 millimetres deep.the volume of the concrete, change 50 mm to .05 m
56.55 * 05 = 2.8275 cu/meters
We are using premixed bagged concrete.1 cubic metre requires 106 x 20 kg bags.
So For the number of bags106 * 2.8275 = 299.715 ≈ 300bags
300 bags of 20 kg of premixed concrete We need
Which statements are true of the function represented
by this graph?
Which graph?
___________
How many solutions does the following system of linear equations have?
y = 5x – 2
( y= 5x+4
O No solutions
O One solution
0 Two solutions
O Infinite solutions
Answer:
No Solution
Step-by-step explanation:
because both of them have same gradient or slope.
we can say that those linear equations are parallel
1/6 of a farm is planted maize,1/4 is planted beans and the remaining part is planted potatoes.What fraction of field is planted potatoes?
Answer:
7/12
Step-by-step explanation:
fraction of field is planted potatoes = 1 - sum of fraction of farm planted with maize and beans
sum of fraction of farm planted with maize and beans =
[tex]\frac{1}{6} + \frac{1}{4}[/tex]
[tex]\frac{2 + 3}{12} = 5/12[/tex]
1 - 5/12 = 7/12
Arithmetic Sequences
Find the missing term. . . . 14, __, 28, . . .
Answer:
21
Step-by-step explanation:
goes up by 7
what do you call a french pimple
Answer:
bouton
Step-by-step explanation:
Work out the area of a rectangle with base, b = 14mm and perimeter, P = 36mm.
Step-by-step explanation:
perimeter = 2(lenth + base)
perimeter-2b = 2(length)
Area=length×breadth
Round 382 to 1 significant figure
Answer:
382=380
Step-by-step explanation:
l don't know the answer but just trying
Rounding to one significant figure is to round the given number into a number where the first digit is a number and the remaining digits are all zeroes.
The number after rounding 382 to 1 significant figure is 400.
What is place value?The place value of a number is given as:
Example:
1234.567
1 = thousand place value
2 = hundred place value
3 = tens place value
4 = ones place value
5 = tenths place value
6 = hundredths place value
7 = thousandths place value
We have,
382
We will round to 1 significant figure.
This means the hundred place value must be the only number remaining while keeping all the place values as zero.
Since the tens place value is more than 4.
We can round the hundred place value 3 into 4.
Now,
382 will be 400 when rounded to 1 significant figure.
Thus,
The number after rounding 382 to 1 significant figure is 400.
Learn more about place value here:
https://brainly.com/question/27734142
#SPJ2
Kate hiked 14 miles in 6 hours. Which rate represents the number of miles traveled per hour? L
Answer:
That would be 14 miles ÷ 6 hours which would be 2.3333 or 2 and 1/3
X + 6 > 18
Please help and show work if can.
Answer:
x > 12
Step-by-step explanation:
[tex]x+6->18-6\\=>x>12[/tex]
That's it for the workout. Hope it helps.
She has 40 coins all made up of quarters and dimes, And when she counted them up she had $7.75 from them, how much of each did she have?
Answer:
x = number of quarters = 25
y = number of dimes = 15
Step-by-step explanation:
Let
x = number of quarters
y = number of dimes
1 dime = $0.10
1 quarter = $0.25
x + y = 40 (1)
0.25x + 0.10y = 7.75 (2)
From (1)
x = 40 - y
Substitute x = 40 - y into (2)
0.25x + 0.10y = 7.75 (2)
0.25(40 - y) + 0.10y = 7.75
10 - 0.25y + 0.10y = 7.75
- 0.25y + 0.10y = 7.75 - 10
-0.15y = -2.25
y = -2.25/-0.15
y = 15
Substitute y = 15 into (1)
x + y = 40 (1)
x + 15 = 40
x = 40 - 15
x = 25
x = number of quarters = 25
y = number of dimes = 15
Total quarters = 25 × $0.25
= $6.25
Total dimes = 15 × $0.10
= $1.5
i need help with the function plz!!
Answer:
[tex]2048 \times( \frac{1}{4} ) {}^{x} [/tex]
Step-by-step explanation:
Objective:Functions
The table of values range and domain isn't proportional so the answer is exponential.
A exponential function is represented by
[tex]ab {}^{x} [/tex]
The y values are decreasing by a common ratio of 4 so our b(our base) cant be negative so it will be
[tex] \frac{1}{4} [/tex]
b=1/4 so plug that in our expression.
[tex]a( \frac{1}{4} ) {}^{x} [/tex]
Let plug in 1,512.
[tex]a( \frac{1}{4} ) {}^{1} = 512[/tex]
[tex] \frac{1}{4} a = 512[/tex]
[tex]a = 2048[/tex]
So our function is
[tex]2048 \times ( \frac{1}{4} ) {}^{x} [/tex]
(Find m∠IGH) m∠IGH =
Answer:
∠IGH = 50°
Hope this helps! :)
Help !!! Hurry I do not know the answer
Answer:
wwiwjwjwjwnwnsnsnssnnssnnssnsnsnsnsnwnwn to
Dan, Harry and Regan sell cars.
Dan sells x cars.
Harry sells 5 more cars than Dan.
Regan sells twice as many cars as Dan.
Write an expression, in terms of x, for the mean number of cars Dan, Harry and Regan sell.
Answer fast please :( Kristy wants to know what the probability is that a card drawn randomly from a deck will be a club her sample space includes all 52 cards in a standard deck which of these outcomes compose the event
Answer:
.25
Step-by-step explanation:
there are 13 clubs
13/52= 1/4
Simplify 5(x + y) -3(x - y)
Answer:
2x + 8y
Step-by-step explanation:
5x + 5y - 3x + 3y
5x - 3x + 5y + 3y
2x + 8y
pls help quickly!! :(
what is the surface area of the right cone below?
Answer:
B.
Step-by-step explanation:
Answer:
D, 143.
Step by step explanation:
Help please if you don’t mind! Thank you
6x-2+2x=5-2x+3
-8-2 = -8x -2x
10x - 2 = 8
Answer:
6x in the 1st box, 2 in the 2nd, 2x in the 3rd, 3 in the 4th
Next line:
8x in the 1st, 8 in the 2nd
Next line:
10 in the 1st
given that the graph below is a transformation of the graph f(x)=x2, which transformation occurred?
Answer:
whats?
Step-by-step explanation: