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3 years ago

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Solomon is 9 years younger than his brother. His brother is 21. How old is Solomon

2 answers:

Nina [5.8K]3 years ago

7 0

Solomon would be 12 years old becaoe 21 - 9 = 12

ELEN [110]3 years ago

6 0

Soloman is 12 years old

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During 4 days, the price of the stock of PEV Corporation went up 1/4 of a point, down 1/3 of a point, down 3/4 of a point, and u

HACTEHA [7]

The price of the stock of PEV Corporation varies as shown. we have to determine the net charge. Net change is just how much it changed overall, so we will look for all the ups minus all the downs.

Here, "went up" goes with a + sign, and "went down" goes with a - sign.

So, Net charge = $\frac{1}{4} - \frac{1}{3}-\frac{3}{4} + \frac{7}{10}$

= $\frac{1}{4}-\frac{3}{4}- \frac{1}{3} + \frac{7}{10}$

= $-\frac{2}{4}- \frac{1}{3} + \frac{7}{10}$

= $-\frac{1}{2}- \frac{1}{3} + \frac{7}{10}$

LCM of 2,3 and 10 is 30

= $\frac{-15-10+21}{30}$

= $\frac{-4}{30}$

= $\frac{-2}{15}$

So, the net charge is $\frac{-2}{15}$

8 0

3 years ago

Find (if possible) the complement and the supplement of each angle. (if not possible, enter impossible.) (a) π 10 complement rad

blagie [28]

In this question, we have to find the complement and supplement of the given angles .

Complementary angles are those angles whose sum is 90 degree and supplementary angles are those angles whose sum is 180 degree.

So to find the complement and supplement angles, we need to subtract the given angles from pi/2 and pi respectively .

a.

$\frac{ \pi}{10}
\\
complement \ angle = \frac{ \pi}{2} - \frac{ \pi}{10} \\ = \frac{4 \pi}{10} = \frac{ 2 \pi}{5}
\\
Supplement \ angle = \pi - \frac{ \pi}{10} = \frac{9 \pi}{10}$

b.

$\frac{9 \pi}{10}
\\
Complement \ angle = \frac{ \pi}{2} - \frac{9 \pi}{10} = \frac{-4 \pi}{10} = -\frac{2 \pi}{5}
\\
Supplement \ angle = \pi - \frac{9 \pi}{10} = \frac{ \pi}{10}$

4 0

3 years ago

Shawna invests $5,048 in a savings account with a fixed annual interest rate of 4% compounded 12 times per year. How long will i

Elena-2011 [213]

Answer:

5 years

Step-by-step explanation:

In the question we are given;

Amount invested or principal amount as $5048
Rate of interest as 4% compounded 12 times per year
Amount accrued as $6,163.59

We are required to determine the time taken for the money invested to accrue to the given amount;

Using compound interest formula;

$A=P(1+\frac{r}{100})^n$

where n is the interest period and r is the rate of interest, in this case, 4/12%(0.33%)

Therefore;

$6,163.59=5,048(1+\frac{0.333}{100})^n$

$1.221=(1+\frac{0.333}{100})^n$

$1.221=(1.0033)^n$

introducing logarithms on both sides;

$log1.221=log(1.0033)^n\\n=\frac{log1.221}{log1.0033} \\n=60.61$

But, 1 year = 12 interest periods

Therefore;

Number of years = 60.61 ÷ 12

= 5.0508

= 5 years

Therefore, it will take 5 years for the invested amount to accrue to $6163.59

3 0

3 years ago

What are the meaning of these two in geometry <br> Postulate Theorem

ElenaW [278]

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7 0

3 years ago

PLEASE HELP ME ASAP

bearhunter [10]

The series is a convergence series and the sum of the series is -8/3

<h3>The type of the series</h3>

The series is given as:

$\sum\limits^{\infty}_{n = 1} -4(-\frac 12)^{n-1}$

The above series has the following properties:

First term; a = -4
Common ratio, r = -1/2

Start by calculating the absolute value of the common ratio

Absolute value = |-1/2|

This gives

Absolute value = 1/2

The above value is less than 1.

It means that the series converges.

<h3>The sum of the series</h3>

This is calculated using:

$S_{\infty} = \frac{a}{1 -r}$

So, we have:

$S_{\infty} = \frac{-4}{1 + \frac 12}$

Evaluate the sum

$S_{\infty} = \frac{-4}{\frac 32}$

Evaluate the quotient

$S_{\infty} = \frac{-8}{3}$

Hence, the sum of the series is -8/3

Read more about geometric series at:

brainly.com/question/24643676

#SPJ1

5 0

2 years ago