Answer:
$983.45
Step-by-step explanation:
Given data
Principal= $700
Rate= 1.2%
Time= 3 years
The compound interest expression is given as
A= P(1+r)^t
A= 700(1+0.12)^3
A= 700(1.12)^3
A= 700*1.404928
A=$983.45
Hence the balance will be $983.45
Answer:
Given: Gables property Corp is leasing office buildings with an area of 
⇒ Area =
we can write this as:
Area = 
.....[1]
Use the identity formula:
then, by using this formula in [1] we have;
Area = 
or
Area = 
square units
Area of building = 
where l is the length and w is the width respectively;
⇒ 
units
Therefore, the possible length and width of the building is;
l = 7x+5 units
w = 7x+5 units
As we know that the Area of a square is equal to side times side . Since each side of a square is the same, it can simply be the length of one side squared.
Therefore, the possible shape of the building is Square.
Answer:
missing side length is 12
Step-by-step explanation:
similar means that all correlating pairs of sides have the same ratio (old side length) / (new side length).
so, when we know the ratio of one pair, we can apply it to any other side to calculate the correlating side.
we see, when we go from small to large, that we have the ratio 32/40 = 4/5.
so, multiplying the larger side by this, we get the shorter side.
15 × 4/5 = 3 × 4 = 12
the proportion part in your picture is a bit confusing :
yes,
x/15 = 32/40 = 32/40
I don't know, why this last expression was repeated.
x/15 = 32/40
x = 15×32/40 = 15×4/5 = 3×4 = 12
as you see we get of course the same result doing it that way.
Answer:
Since we have the information for Angles 1 and 3, and they are vertical, we can set them equal to each other. Once we have done this we can find the measures of them combined, and subtract it from 360 in order to only have the measure of 2 and its vertical angle. Finally, all we need to do now is divide the remaining measure by 2, and this will give us the measure of angle 2.
Angle 1=Angle 3
4x+30=2x+48
2x+30=48
2x=18
x=9
Angle 1=4(9)+30
Angle 1=36+30
Angle 1=66
Angle 1=Angle 3
Angle 1+ Angle 3=132
360-132=228
228/2=114
Angle 2= 114
4/5*75=60
ratio will be 24:36
