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3 years ago

Mary Ellen invests $4000 in an account that earns 1.8% annual interest compounded monthly.

Mathematics

1 answer:

Vaselesa [24]3 years ago

3 0

Answer:

22.5 years to the nearest tenth.

Step-by-step explanation:

The equation is

6000 = 4000(1 + 0.018/12)^12t where t = the number of years

(1 + 0.018/12)^12t = 1.5

1.0015^12t = 1.5

Taking logs:

12t log 1.0015 = log 1.5

12t = log 1.5 / log 1.0015

12t = 270.51

t = 22.54 years.

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Three students scheduled interviews for summer employment at the Brookwood Institute. In each case the interview results in eith

adoni [48]

Answer:

a. 8 outcomes

b. Discrete Variable

c. See explanation below

Step-by-step explanation:

Let N = No Offers made

Let Y = Offers made

The Expected outcome are as follows:

NNN, NNY, NYN, YNN, NYY, YNY, YYN, YYY

= 8

Let x = number of offers made

X is said to be discrete if x can take values that are restricted to a defined or limited values

X is said to be continuous if x can take a range of values that is not restricted to any range(i.e. continuous)

Looking at the brief description above, we can conclude that x is discrete

NNN, 0

NNY, 1

NYN, 1

YNN, 1

NYY, 2

YNY, 2

YYN, 2

YYY, 3

Where 0 to 3 represents number of offers at every instance

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3 years ago

To avoid an additional charge, the sum of the length, 1, width, w, and depth, d, of a piece of luggage to be checked on a

ololo11 [35]

The answer is B. l+w+d cannot be more than 61 inches so that sum must be less than 61 inches

5 0

3 years ago

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The square of the sum of two consecutive positive even integers is 4048 more than the sum of the squares of these two numbers. F

Burka [1]

Answer:

The numbers are 44 and 46

Step-by-step explanation:

Let

x, x+2 ----> the two consecutive positive even integers

we know that

$(x+x+2)^{2} =4,048+x^{2} +(x+2)^{2} \\ \\(2x+2)^{2} =4,048+x^{2} +x^{2}+4x+4\\ \\4x^{2}+8x+4=2x^{2}+4x+4,052\\ \\2x^{2} +4x-4,048=0$

Solve the quadratic equation using a graphing calculator

The solution is x=44

see the attached figure

$x+2=44+2=46$

therefore

The numbers are 44 and 46

4 0

3 years ago

There are 1200 students at a school and 390 of them are boys if each classroom holds 30 students how many classrooms are needed

vodomira [7]

Answer:

40 classrooms

Step-by-step explanation:

Divide 1200 by 30.

1200÷30=40

If 390 students are boys just subtract 390 from 1200.

1200-390= 810

There must be 810 girls if there are 390 boys

5 0

2 years ago

Please help!

dalvyx [7]

Answer:

the answer is y=1/3x+20

Step-by-step explanation:

because he is going 3 times faster and you are adding on the 20 minutes that he is late

6 0

3 years ago

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