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3 years ago

I am thinking of a number such that 6 less than the product of 7 and this number is 85 which number is she thinking of

1 answer:

4 0

6 less than the product of 7 and this number is 85.
6 less than (the product of (7 and this number)) is 85.

6 less than (the product of 7 and x) = 85
6 less than (7 * x) = 85
(7 * x) - 6 = 85

Now you solve! Make sure that whatever you do to one side you also do to the other:
7x - 6 = 85
7x - 6 + 6 = 85 + 6
7x = 91
7x /7 = 91 /7
x = 13

Hope this helps! :)

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Reinhardt Furniture Company has 40,000 shares of cumulative preferred 2% stock, $150 par and 100,000 shares of $5 par common sto

Ann [662]

Answer:

for year 1

common stock = $1.75 per share

preferred stock = Zero

for year 2

common stock = $4.25 per share

preferred stock = $0.3 per share

for year 3

common stock = $3 per share

preferred stock = $2 per share

Step-by-step explanation:

step 1

preferred stock value = (40000 shares * $150) = $6000000

common stock value = (100000 shares * $5) = $500000

step 2

For year 1:

Dividend on preferred stock;

$\frac{6000000 * 2}{100}$ = $120000

But total dividend in the question was $70000 therefore total amount of dividend on cumulative preferred stock is $70000.

hence, dividend per share

$= \frac{70000}{40000 shares}$ = $1.75 per share

Dividend on common stock;

70,000 - 70,000 = Zero

as total dividend distributed in year 1 is insufficient for cumulative preferred stock therefore no dividend will be paid on common stock.

For year 2:

Dividend on cumulative preferred stock;

$\frac{6000000 * 2}{100}$ = $120000

extra dividend of year 1 ($120000 - $70000) = $50000

Thus total dividend on cumulative preferred stock

($120000 + $50000) = $170000

So dividend per share

$\frac{170000}{40000\ shares}$ = $4.25 per share

Dividend on common stock;

($200000 – $170000) = $30000

dividend per share

$\frac{30000}{100000\ shares}$ = $0.3 per share

For year 3:

Dividend on cumulative preferred stock;

$\frac{6000000 * 2}{100}$ = $120000

total dividend on cumulative preferred stock $120000

dividend per share

$\frac{120000}{40000 shares}$ = $3 per share

No dividend was extra in the year 2 therefore only available dividend of this year will be paid.

Dividend on common stock;

($320000 – $120000) = $200000

dividend per share

$\frac{200000}{100000\ shares}$ = $2 per share

3 0

3 years ago

I have 7 hundreds blocks, 5 tens blocks, and 8 ones blocks. I use my blocks to model two 3-digit numbers. What could my two numb

lawyer [7]

There 7 blocks of hundreds which means each such block is equivalent to 100.
There are 5 blocks of tens, which means each such block is equivalent to 10.
There are 8 blocks of ones, which means each such block is equivalent to 1.

The total of these blocks will be = 7(100) + 5(10) + 8(10) = 758

We can make several two 3-digit numbers from these blocks. An example is listed below:

Example:
Using 3 hundred block, 2 tens blocks and 4 ones block to make one number and remaining blocks to make the other number. The remaining blocks will be 4 hundred blocks, 3 tens blocks and 4 ones blocks
The two numbers we will make in this case are:

1st number = 3(100) + 2(10) + 4(1) = 324
2nd number = 4(100) + 3(10) + 4(1) = 434

The sum of these two numbers is = 324 + 434 = 758
i.e. equal to the original sum of all blocks.

This way changing the number of blocks in each place value, different 3 digit numbers can be generated.

5 0

3 years ago

Find the least common multiple of 10x4 and 6w3 .

jarptica [38.1K]

10x⁴ and 6w³

1) We see no the same letters in both expressions, so we will need to include all letters in the final answer. x⁴w³

2) number part
10 = 2*5
6=3*2
We need 2*3*5=30 (we need 2 only one times, because we have 2 only one time in each of the numbers).
3)The least common multiple
2*3*5x⁴w³ = 30x⁴w³
Answer is 30x⁴w³.

8 0

3 years ago

A tree casts shadow 26 ft long. A 3 ft tall flowers casts a shadow 4 ft long. How tall is the tree?

Rufina [12.5K]

Answer:

19. 5 feets

Step-by-step explanation:

Shadow of tree = 26 feets

Height of flower = 3 feets

Shadow of flower = 4 feets

Height of sun Innthe sky:

Shadow of flower / height of flower