Answer:
A.
Step-by-step explanation:
the line that's PR is longer than OR
Answer: $15385 should be deposited.
Step-by-step explanation:
The principal was compounded monthly. This means that it was compounded 12 times in a year. So
n = 12
The rate at which the principal was compounded is 7.8%. So
r = 7.8/100 = 0.078
It was compounded for 4 years. Therefore,
t = 4
The formula for compound interest is
A = P(1+r/n)^nt
A = total amount in the account at the end of t years. The total amount is given as $21000. Therefore
21000 = P (1+0.078/12)^12×4
21000 = P (1+0.078/12)^48
21000 = P (1+0.0065)^48
21000 = P (1.0065)^48
P = 21000/1.365
P = $15385
Answer:
x = -7
Step-by-step explanation:
Recall this rule of exponents:
a^b*a^c = a^(b+c)
We have:
6^9*6^x = 6^2
Then 9 + x = 2. Subtracting 9 from both sides, we get: x = -7
Answer:
x^2+y^2=(x^2+y^2-2y)^2
Step-by-step explanation:
Here we are given that
r=1+2sin
we know that the polar cordinates are represented as
x=rsin
y=rcos
Also squaring both and adding them gives you ,
Hence
also r=1+2sin
1+2sin =
Also ,
r = r=1+2sin
also sin =
Hence replacing sin we get
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Answer:
1. The top choice.
2. The third choice.
3. The third choice.
Step-by-step explanation:
Number one is a line, so it should have two arrows.
Number 2 is a segment, so it should have no arrows.
Number 3 is a ray, so it should have one arrow. (The letters need to be in the same direction as the ray, hence why it is BC and not CB)