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bulgar [2K]
3 years ago
13

Help me please,i struggle with this concept!

Mathematics
2 answers:
Vesna [10]3 years ago
7 0
The correct answer is 10.49
siniylev [52]3 years ago
6 0

Answer:  \sqrt{110} \approx 10.49

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As part of his retirement strategy, John plans to invest $210,000 in two different funds. He projects that the moderately high r
Maslowich

Answer:

Therefore he invested $60,000 at 9% per year and $(210,000-60,000)=$150,000 at 4% per year.

Step-by-step explanation:

Given John plans to invest $210,000 in two different funds. He projects that the moderately high risk investments should return, overtime 9% per year,while low risk investments should return about 4% per year.

He wants a supplemental income of$11,400 a year.

Let , he invested $x at 9% per year and $(210,000-x) at 4% per year.

interest=\frac{prt}{100}   p = principle , r = rate of interest and t = time

The interest earns at 9% per year= \frac{x\times 9\times 1}{100}

The interest earns at 4% per year=\frac{(210,00-x)\times 4 \times 1}{100}

According to the problem,

\frac{x\times 9\times 1}{100}+\frac{(210,00-x)\times 4 \times 1}{100}= 11400

\Leftrightarrow 9x+840000-4x=11400 \times 100

\Leftrightarrow 5x=1140000-840000

\Leftrightarrow x=\frac{300000}{5}

\Leftrightarrow x=60,000

Therefore he invested $60,000 at 9% per year and $(210,000-60,000)=$150,000 at 4% per year.

7 0
2 years ago
What is 3x+5=-9 in slope intercept form
Nata [24]

Answer:

x=-14/3

Step-by-step explanation:

3x+5=-9

3x=-9-5

3x=-14

x=-14/3

4 0
2 years ago
c. Using a standard deck of 52 cards, the probability of selecting a 4 of diamonds or a 4 of hearts is an example of a mutually
dybincka [34]

Answer:

True

Step-by-step explanation:

If two events X and Y are mutually exclusive,

Then,

P(X∪Y) = P(X) + P(Y)

Let A represents the event of a diamond card and B represent the event of a heart card,

We know that,

In a deck of 52 cards there are 4 suit ( 13 Club cards, 13 heart cards, 13 diamond cards and 13 Spade cards )

That is, those cards which are heart can not be diamond card,

⇒ A ∩ B = ∅

⇒ P(A∩B) = 0

Since, P(A∪B) = P(A) + P(B) - P(A∩B)

⇒ P(A∪B) = P(A) + P(B)

By the above statement,

Events A and B are mutually exclusive,

Hence, the probability of selecting a 4 of diamonds or a 4 of hearts is an example of a mutually exclusive event is a true statement.

4 0
3 years ago
A company is testing and comparing two sunscreen formulas. The box plots show the number of hours each sunscreen lasts before re
IgorLugansk [536]
Sunscreen A will likely last longer than Sunscreen B since the IQR is larger for A than B (the Boxed portion) therefore it's likely to be more reliable. 
3 0
2 years ago
Read 2 more answers
How do I solve this question?
dusya [7]

So if the ratio is 3:1, that means for every 3/12 of the small triangle, there is 1/12 of the big one

the shaded area ratio is 1/12:1/4

8 0
2 years ago
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