Answer: £23,360
Step-by-step explanation:
You can use algebra to solve this.
Assume that the original investment is x.
In the beginning of 2015 the balance had increased by 2.5% which is denoted as:
= 1.025x
Carol then withdrew a thousand:
= 1.025x - 1,000
This value then increased by 2.5% again by the beginning of 2016:
= 1.025 * (1.025x - 1,000)
Relevant expression therefore is:
1.025 *(1.025x - 1,000) = 23,517.60
1.025x - 1,000 = 23,517.60/1.025
1.025x = 22,944 + 1,000
x = 23,944/1.025
x = £23,360
Answer:
GJI = 242.67
Step-by-step explanation:
A circle is 360 degrees
GI + GJI = 360
The arc length is the same as the angle when it is at the center
117.33 + GJI = 360
GJI = 360 - 117.33
GJI = 242.67
If the length of a rectangle is a two-digit number with identical digits and the width is 1/10 the length and the perimeter is 2 times the area of the rectangle, what is the the length and the width
Solution:
Let the length of rectangle=x
Width of rectangle=x/10
Perimeter is 2(Length+Width)
= 2(x+x/10)
Area of Rectangle= Length* Width=x*x/10
As, Perimeter=2(Area)
So,2(x+x/10)=2(x*x/10)
Multiplying the equation with 10, we get,
2(10x+x)=2x²
Adding Like terms, 10x+x=11x
2(11x)=2x^2
22x=2x²
2x²-22x=0
2x(x-11)=0
By Zero Product property, either x=0
or, x-11=0
or, x=11
So, Width=x/10=11/10=1.1
Checking:
So, Perimeter=2(Length +Width)=2(11+1.1)=2*(12.1)=24.2
Area=Length*Width=11*1.1=12.1
Hence, Perimeter= 2 Area
As,24.2=2*12.1=24.2
So, Perimeter=2 Area
So, Answer:Length of Rectangle=11 units
Width of Rectangle=1.1 units
Answer:
The answer would be 2.7. Am not very sure though
Step-by-step explanation:
So what you do is
for example the unkown number is x and the answer you get is y
12-x=y * -15=-140
-140/-15=9.33 (this is y the answer)
12-x=9.3
12-9.3=2.7
To check your answer
12-2.7=9.3
9.3 * -15=-139.5 if you round it then it would be -140
AB is congruent to AC that is ur Answer
