9514 1404 393
Answer:
B. Two
Step-by-step explanation:
There are two points that are 4 inches from A and 6 inches from B.
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<em>Additional comment</em>
They are at the intersection points of circle A with radius 4 inches and circle B with radius 6 inches.
Answer:
c. 130
Step-by-step explanation:
Let call B the quantity of voters who voted yes for both propositions.
From the question we know that twice as many voters voted "yes" for R as for S, that can be written as the following equation:
R+B=2(S+B)
Where R is the number who voted "yes" for R but "no2 for S and S is the number who voted "yes" for S but "no" for R.
Replacing R by 750 and S by 310 and solving for B, we get:
750+B=2(310+B)
750+B=620+2B
2B-B=750-620
B=130
So, 130 voters voted yes for both propositions
The side that measures 12 cm corresponds to the side that measures 3 cm.
The side that measures 16 cm corresponds to the side that measures 4 cm.
The ratio of the side lengths is (12 cm)/(3 cm) = (16 cm)/(4 cm) = 4
Now let's calculate the two areas.
For the 3 cm by 4 cm rectangle:
A = LW = 3 cm * 4 cm = 12 cm^2
For the 12 cm by 16 cm rectangle:
A = LW = 12 cm * 16 cm = 192 cm^2
The ratio of the areas is (192 cm^2)/(12 cm^2) = 16
The ratio of the areas is 16.
The ratio of side lengths is 4.
Notice that 16 = 4^2.
The ratio of the areas is the square of the ratio of the side lengths.
Answer: in five years time, the sales would be $100367
Step-by-step explanation:
We would apply the formula for determining compound interest which is expressed as
A = P(1+r/n)^nt
Where
A = total sales at the end of t years
r represents the growth rate.
n represents the periodic interval at which it was compounded.
P represents the current sales.
t represents the time in years
From the information given,
P = 75000
r = 6% = 6/100 = 0.06
n = 11 because it was compounded once in a year.
t = 5 years
Therefore,
A = 75000(1+0.06/1)^1 × 5
A = 75000(1+0.06)^5
A = 75000(1.06)^5
A = $100367
Answer:
.65625
Step-by-step explanation:
