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3 years ago

ILL MARK YOU BRAINLIEST

Mathematics

1 answer:

ryzh [129]3 years ago

8 0

Answer:

-2.22, -√3, √9, π, 3.4

Step-by-step explanation:

Hope this helps :)

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Amy deposits $20,000 into an account that pays 6% interest per year, compounded annually. Bill deposits $20,000 into an account

wariber [46]

I need this answer too please help us out !!

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4 years ago

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Lucas invested money in two accounts: one paying 3% interest and the other paying 5% interest. He invested $100 more in the 5% a

Anni [7]

He invested "a" at 3% and "b" at 5%

now, he invested 100 more in "b", so, whatever "a" may be, b = a + 100

now, how much is the interest yield of each? well
how much is 3% of a? well, (3/100) * a, or 0.03a
and 5% of b? well (5/100) * b, or 0.05b

now, we know the total yield was 53 bucks, thus 0.03a + 0.05b = 53

thus $\bf \begin{cases}
\boxed{b}=a+100\\
0.03a+0.05b=53\\
----------\\
0.03a+0.05\left( \boxed{a+100} \right)=53
\end{cases}$

solve for "a", to see how much was invested at 3%

what about "b"? well, b = a + 100

3 0

3 years ago

If (cos)x= 1/2 what is sin(x) and tan(x)? Explain your steps in complete sentences.

Natasha_Volkova [10]

The correct answers are:
1) sin(x) = $\frac{ \sqrt{3} }{2}$
2) tan(x) = $\sqrt{3}$

Explanation:
Given:
$cos(x) = \frac{1}{2}$

Step 1:
Since, according to the Trigonometric identity:
$sin^2(x) + cos^2(x) = 1$ -- (1)

Step 2:
Plug in the value of cos(x) in equation (1):
$sin^2(x) + ( \frac{1}{2} )^2 = 1 \\ sin^2(x) + \frac{1}{4} = 1 \\ sin^2(x) = \frac{3}{4}$

Step 3:
Take square-root on both sides:
$\sqrt{sin^2(x)} = \sqrt{\frac{3}{4}}$

sin(x) = $\frac{ \sqrt{3} }{2}$

Now to find the tan(x), we would use the following formula:

tan(x) = $\frac{sin(x)}{cos(x)}$ --- (2)

Plug in the values of sin(x) and cos(x) in equation (2):
tan(x) = $\frac{ \frac{ \sqrt{3} }{2} }{ \frac{1}{2} }$

Hence tan(x) = $\sqrt{3}$

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3 years ago

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5h+-6h=20 solve h help me please

Vikki [24]

5h-6h=20
-h=20
h=-20

5(-20)-6(-20)=20
-100+120=20
20=20

The answer to solve h would be -20! :)

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3 years ago

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The distribution of the baggage weights for passengers using a particular airline has a mean of 19.4 lbs and a standard deviatio

cupoosta [38]

We are to find the probability that the weight of total luggage for a sample of 100 passengers is less than 2100.

The mean weight of the luggage of passengers will be 2100/100 = 21.

So we have to find the probability of the mean weight to be less than 21.

Average weight = u = 19.4
Standard deviation = 5.3

Since we are dealing with a sample of 100. We will use the standard error.

Standard error = $\frac{s}{ \sqrt{n} }= \frac{5.3}{ \sqrt{100} }=0.53$

Now we have to convert the weight to z-score

$z= \frac{x-u}{ \frac{s}{ \sqrt{n} } }$

$z= \frac{21-19.4}{0.53}=3.018$

From z table we can find the probability of z being less than 3.018 is 99.87%.

Therefore, the probability that for (a random sample of) 100 passengers, the total luggage weight is less than 2,100 lbs is 99.87%

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4 years ago

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