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andrew11 [14]
2 years ago
5

If $400 is invested at the rate of 6% for one year, what will be the total value of the investment (the amount)?

Mathematics
2 answers:
ASHA 777 [7]2 years ago
4 0
........It's $424.00
yanalaym [24]2 years ago
3 0
Total value
400+(400×0.06)
=424
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Two​ trains, Train A and Train​ B, weigh a total of 300 tons. Train A is heavier than Train B. The difference of their weights i
eduard

Answer:

Train A = 214

Train B = 86

Step-by-step explanation:

a + b = 300

a - b = 128

a + b = 300

a = 128 + b

(128 + b) + b = 300

128 + b + b = 300

128 + 2b = 300

2b = 300 - 128

2b = 172

b = 172 ÷ 2

b = 86

a = 128 + b

a = 128 + (86)

a = 214

7 0
2 years ago
I need a specific explanation of how to answer this
zimovet [89]
A rectangle has two dimensions, width and length, and the area of it is their product.

since we know its area is 3x²-11x-4, then the two factors from that trinomial are the likely width and length, namely (3x + 1) (x - 4).

you can check them with FOIL.
5 0
3 years ago
Find the magnitude and direction in degrees of the vector v=6i+2 seq31​
masha68 [24]

Answer:

Please check the explanation.

Step-by-step explanation:

Given the vector

v = 6i + 2√3j

The Magnitude of a vector:

\mathrm{Computing\:the\:Euclidean\:Length\:of\:a\:vector}:\quad \left|\left(x_1\:,\:\:\ldots \:,\:\:x_n\right)\right|=\sqrt{\sum _{i=1}^n\left|x_i\right|^2}

=\sqrt{6^2+\left(2\sqrt{3}\right)^2}

=\sqrt{36+12}

=\sqrt{48}

\mathrm{Apply\:radical\:rule}:\quad \sqrt[n]{ab}=\sqrt[n]{a}\sqrt[n]{b}

=\sqrt{3}\sqrt{2^4}

=4\sqrt{3}

The Direction of a vector:

tan Ф = y/x

y=2√3

x = 6

tan Ф = y/x

          = 2√3 / 6

           = √3 / 3                  

\theta \:=tan\:^{-1}\left(\frac{\sqrt{3}}{3}\right)

\:\theta \:=\frac{\pi \:}{6}=30^{\circ \:}

6 0
3 years ago
What is $6.72divided by 3?
lara31 [8.8K]
It would be, 6.72/3 = $2.24
8 0
3 years ago
Suppose calls are arriving at a telephone exchange at an average rate of one per second, according to a Poisson arrival process.
antoniya [11.8K]

Answer:

Explanation has been given below

Step-by-step explanation:                    

a) inter arrival times are exponentially distributed with mean 1/n , where n = rate = 1/sec.                                                                              

  probability distribution function is F(t)=n*exp(-n*t).  

reference to any kth packet and the (k-1)th packet

the answer is = integration of F(t).dt with limits 0 to 2 = 1 - exp(-2*n) = 1 - exp(-2)  

b)  t=5 , P(q) = exp(-5)*(5)^q/factorial(q)  

probability of fourth call within t=5 seconds is =  

that is P(4)   P(5)   ......  = 1 - ( P(0)   P(1)   P(2)   P(3) ) ;  put the values and get the answer.  

c) number of calls/rate =  4/n = 4 seconds

5 0
3 years ago
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