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Nat2105 [25]
3 years ago
14

$1334 is deposited into a savings account at 8% interest, compounded quarterly. To the nearest year, how long will it take for t

he account balance to reach $1,000,000?
Mathematics
1 answer:
Varvara68 [4.7K]3 years ago
5 0

Answer:

  84 years

Step-by-step explanation:

The future value of an investment is given by ...

  FV = P(1 +r/n)^(nt)

where P is the principal amount, r is the annual rate, and n is the number of times per year interest is compounded. Filling in the given values and solving for t, we get ...

  1000000 = 1334(1 +.08/4)^(4t)

  749.6252 ≈ 1.02^(4t) . . . . divide by 1334 and simplify

  log(749.6252) ≈ 4t·log(1.02) . . . . take logarithms

  t ≈ log(749.6252)/(4·log(1.02)) ≈ 83.57

It will take about 84 years for the account balance to reach $1,000,000.

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Answer:

P(A) = 0.1620 , P(A|B) = 0.0707

Step-by-step explanation:

Total people = 10 + 15 + 20 = 45 , Sophomores = 10, Juniors = 15 , Seniors = 20

P(A) , exactly 3 juniors selected = (15 c 3) (30 c 2) / (45 c 5) = (455 x 435) / 1221759 = 0.1620  

P (B) , exactly 2 seniors selected = (20 c 2) (25 c 3) / (45 c 5) = (190 x 2300)/ 1221759 = 0.3576

P(A|B), exactly 3 juniors & exactly 2 seniors selected = P (A∩B) / P (B)

(15 c 3) (20 c 2) / (45 c 5) = (455 x 190) / 1221759 = 0.0707

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Alex787 [66]

Answer: y<3

Step-by-step explanation:

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3 years ago
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3 years ago
Complete the proof.Prove: △UWX ≅ △UVX<br><br> A. AAS<br> B. ASA<br> C. HL<br> D. SAS
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SAS

They share two sides, one marked by the red lines, and the line they share in the middle. They also share the angle of that middle line, at the bottom.

The angle is between the sides, so it’s SAS
5 0
2 years ago
Can someone who is really good at geometry help me ASAP!?!?!? If m
ipn [44]

The measure of an exterior angle of a triangle is the sum of the measures of two remote interior angles

Accordingly, the measure of angle JKM (which is an exterior angle of a triangle KLM) is the sum of measures of angles M and L

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I hope that helps!

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and One question per one post, please...
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