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4 years ago

Can anyone help me on #7 and #8

Mathematics

2 answers:

Leno4ka [110]4 years ago

8 0

This is all you have to do.

nika2105 [10]4 years ago

8 0

See my picture reply.

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Jacob is unsure how long it will take to save $50,000. He knows that he'll make an initial investment of $5,000, and he can earn

maksim [4K]

Answer:

It will take Jacob 36 years to reach his goal

Step-by-step explanation:

In this question, Jacob is intending to save $50,000 but he is doing this by saving $5,000 at an interest which is compounded two times a year (semi-annually). We are tasked with calculating the number of years it will take him.

Mathematically, to solve this, what we use is the compound interest formula.

This is;

A = P(1 + r/n)^nt

Where in the question A is our savings target of $50,000

P is our initial amount saved of $5,000

r is the rate at 6.5%

n is the number of times interest will be compounded per year= 2

and t is the number of years it will take.

We plug all these values respectively to yield;

50,000 = 5,000(1 + 0.065/2)^(2t)

Divide through by 5,000

we have;

10 = (1.0325)^2t

Take the logarithm of both sides

Log 10 = Log (1.0325)^2t

Log 10 = 2tLog (1.0325)

2t = Log10/Log1.0325

2t = 72

t = 72/2

t = 36 years

6 0

3 years ago

Read 2 more answers

A device contains two circuits. The second circuit is a backup for the first, so the second is used only when the first has fail

Wittaler [7]

Answer:

Step-by-step explanation:

The pdf of X is given by 3e^x(1-e^-2y). Please check the screenshot for the workings.

The pdf of Y is given by 6e^-2y. Please check the screenshot for the workings.

The expected time the device fails is the expected time Y fails, so we are going to find the expected time of Y which equals to 0.83.

Please check the screenshop for the workings. Thanks

5 0

3 years ago

I need help only on number 3

DochEvi [55]

Gaps have no data in them. So the range 1-2 is a gap.

Clusters are groups of data that are right next to each other.

So the range 3-6 on your dot plot is a cluster, because there is a group of data there with no gaps.

Peaks are the greatest amount of data in the dot plot. 0 and 5 are the peaks because they both have the most data, 4.