Answer:
The answer is "
"
Step-by-step explanation:
In this question, when two figures are similar so, the ratio from its size is equal to the squared factor that are:
Scaling factor= Z
Area of Polygon Y=a
Area of Polygon X=b
![z=\frac{1}{3}\\\\using \ substitution:\\\\(\frac{1}{3})^2=\frac{a}{b}\\\\\frac{1}{9}=\frac{a}{b}\\\\a=\frac{1}{9}b](https://tex.z-dn.net/?f=z%3D%5Cfrac%7B1%7D%7B3%7D%5C%5C%5C%5Cusing%20%5C%20substitution%3A%5C%5C%5C%5C%28%5Cfrac%7B1%7D%7B3%7D%29%5E2%3D%5Cfrac%7Ba%7D%7Bb%7D%5C%5C%5C%5C%5Cfrac%7B1%7D%7B9%7D%3D%5Cfrac%7Ba%7D%7Bb%7D%5C%5C%5C%5Ca%3D%5Cfrac%7B1%7D%7B9%7Db)
Answer:
t = 54.85714 seconds
Step-by-step explanation:
t = 12(210)+9000/210
t = (2520 + 9000) / 210
t = 11520 / 210
t = 54.85714 seconds
Answer:
The graph is uploaded in the attachment.
The value of x is 2.625.
Step-by-step explanation:
- let us plot f(x), g(x) on y-axis
so, f(x)=y and g(x)=y.
- the first equation can be written as y=5-2x
- the general equation of a straight is y=mx+c
( where m is the slope and c is the y-intercept )
- now comparing given equation with the general equation mentioned above, the slope of first line is -2 and its y-intercept is 5
- the slope of second equation i.e, y=(2/3)x-2 is 2/3 and its y-intercept is -2.
- now plot the graph using above information.
(y-intercept is the the coordinate of a point where the line intersects y-axis)
(slope is the angle made by the line with the x-axis)
- by seeing the graph, the value of x is 2.625.
Answer:
50,10
Step-by-step explanation:
poit c is half way on both x axis and y axis
Answer:
The correct option is;
A. $76.50
Step-by-step explanation:
To solve the question, we note the formula for simple interest = Principal × Rate × Time/100
That is
![S.I. = \frac{Principal \times Rate \times Time}{100} = \frac{P \times R \times T}{100}](https://tex.z-dn.net/?f=S.I.%20%3D%20%5Cfrac%7BPrincipal%20%5Ctimes%20Rate%20%5Ctimes%20Time%7D%7B100%7D%20%3D%20%5Cfrac%7BP%20%5Ctimes%20R%20%5Ctimes%20T%7D%7B100%7D)
Where:
P = Principal Amount = $500.00
R = Interest Rate = 3.4%
T = Time period = 3 Years
Therefore,
![S.I. = \frac{500 \times 3.4 \times 3}{100} = \$51](https://tex.z-dn.net/?f=S.I.%20%3D%20%5Cfrac%7B500%20%5Ctimes%203.4%20%5Ctimes%203%7D%7B100%7D%20%3D%20%5C%2451)
For the second account, we have
P = Principal Amount = $500.00
R = Interest Rate = 3.4/2% = 1.7 %
T = Time period = 3 Years
Therefore,
![S.I. = \frac{500 \times 1.7 \times 3}{100} = \$25.5](https://tex.z-dn.net/?f=S.I.%20%3D%20%5Cfrac%7B500%20%5Ctimes%201.7%20%5Ctimes%203%7D%7B100%7D%20%3D%20%5C%2425.5)
Therefore, the total interest she have earned in three years is $51 + $25.5 = $76.5