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11111nata11111 [884]
3 years ago
10

Kayden is going to invest in an account paying an interest rate of 4.2% compounded continuously. How much would Kayden need to i

nvest, to the nearest hundred dollars, for the value of the account to reach $112,000 in 6 years?
Mathematics
1 answer:
Rudik [331]3 years ago
4 0

Answer:

Around 450000

Step-by-step explanation:

112000/(0.042*6) =444444.4444..

Then to check 450000*(0.042*6)

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36 is _______% less than 60?
Arte-miy333 [17]
60*(1-x)=36
60-60x=36
-60x=36-60
-60x=-24
x=24/60
x=4/10
x=2/5
x=0.4

36 is 40% less than 60
4 0
3 years ago
Read 2 more answers
What is the distance between the points P(-5, 4), Q(7, -5)
Nikolay [14]

Answer:

15

Step-by-step explanation:

Distance between two points is = √(x2 - x1)² + (y2 - y1)²

x1 = -5, y1 = 4; x2 = 7, y2 = -5

|PQ| = √(7 - (-5))² + (-5 - 4)²

|PQ| = √(7 + 5)² + (-9)²

|PQ| = √(12)² + 81

|PQ| = √144 + 81

|PQ| = √225

|PQ| = 15

4 0
3 years ago
A sumo wrestling ring is circular and has a circumference of 4 . 6 π meters 4.6π meters. What is the area A A of the sumo wrestl
LUCKY_DIMON [66]

Answer:

A=5.29\pi

Step-by-step explanation:

<u>Formula for circumference of a circle is</u>:

Circumference = 2\pi r


<em>Given circumference of the ring is 4.6\pi</em>

<em>Now solving for the radius gives us:</em>

2\pi r=4.6\pi\\r=\frac{4.6\pi}{2\pi}\\r=\frac{4.6}{2}=2.3


We know that area of a circle is \pi  r^2, substituting the value of r we found, we get the area as:

area (A) = \pi r^2\\\pi (2.3)^2\\\pi (5.29)\\=5.29\pi


Hence the Area (A), in terms of \pi is 5.29\pi

5 0
3 years ago
Read 2 more answers
Which one is the correct answer?
Molodets [167]
The answer selected is the correct answer because all of the other ones are equivalent to each other.
5 0
3 years ago
A jar contains 8 red marbles numbered 1 to 8 and 7 blue marbles numbered 1 to 7. A marble is drawn at random from the jar. Find
Shkiper50 [21]

Answer:

Therefore the probability that the marble is blue or even numbered is \frac{11}{15}

Step-by-step explanation:

Probability: The ratio of favorable outcomes to the total outcomes.

It is denoted by P.

Probability= \frac{\textrm{favorable outcomes}}{\textrm{Total outcomes}}

Given that a jar contains 8 red marbles and 7 blue marbles.

Total number of marbles = (8+7) = 15

Let A = Event of getting a blue marble

B= Event of getting of even marble.

Even number blue marbles are 2, 4,6

Even number red marbles are 2, 4,6,8

The number of even marbles are =(3+4)=7

The probability of getting a blue marble is P(A)

=\frac{\textrm{Total number of blue marbles}}{\textrm{Total number of blue marbles}}

=\frac{7}{15}

The probability of getting a even marble  is P(B)

=\frac{\textrm{The number of even number marbles}}{\textrm{Total number of marbles}}

=\frac{7}{15}

The probability of getting a even numbered blue marble P(A∩B)

=\frac{3}{16}

P(blue marble or even- numbered)

=P(A∪B)

=P(A)+P(B)-P(A∩B)

=\frac{7}{15} +\frac{7}{15}-\frac{3}{15}

=\frac{11}{15}

Therefore the probability that the marble is blue or even numbered is \frac{11}{15}

3 0
3 years ago
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