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MAVERICK [17]
3 years ago
12

1 3/4d= 14 what is the value of d

Mathematics
2 answers:
Veronika [31]3 years ago
8 0

1 3/4d= 14

7/4d = 14

d = 8

Hope this helps! ;)

BigorU [14]3 years ago
5 0

Answer:

B / 8

Step-by-step explanation:

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Mekhanik [1.2K]

Answer:

850

Step-by-step explanation:

Current profit per year = $ 20

Number of subscribers = 3000

For each additional subscriber over 3000, the profit will increase by 1 cent or by $ 0.01. For example, for 3001 (3000 + 1) subscribers, the profit will be $ 20.01 per year. Similarly, for 3002 (3000 + 2) subscribers, the profit will be $20.02 per year and so on.

So, for x additional subscribers over 3000, the profit will increase by 0.01(x). i.e. for (3000 + x) subscribers, the profit will be $(20 + 0.01x)

Since, profit per each subscriber is $(20 + 0.01x), the profit for (3000 + x) subscribers will be:

Total profit = Number of subscribers x Profit per each subscriber

Total profit = (3000 + x)(20 + 0.01x)

We want to calculate how many subscribers will be needed to bring a profit of $109,725. So, we replace Total profit by $109,725. The equation now becomes:

109725=(3000+x)(20+0.01x)\\\\ 109725=60000+30x+20x+0.01x^{2}\\\\ 0.01x^{2}+50x+60000-109725=0\\\\ 0.01x^{2}+50x-49725=0\\

Using quadratic formula, we can solve this equation as:

\\ x=\frac{-50 \pm \sqrt{50^{2}-4(0.01)(-49725)}}{2(0.01)}\\\\ x=\frac{-50 \pm67}{0.02}\\\\ x=\frac{-50-67}{0.02} , x=\frac{-50+67}{0.02}\\\\  x=-5850, x=850

x = -5850 is not a possible solution as this would make the total number of subscribers to be negative. So we reject this value.

Therefore, the answer to this question is 850. 850 more subscribers are needed to being a total profit of $109,725

8 0
3 years ago
Lindsay owns one-third the number of books that Destiny owns. Henry owns a fourth as many books as Destiny. Together they own 57
vovikov84 [41]

Answer:

Lindsey owns  12 books

Step-by-step explanation:

1/3x:Lindsay

x:Destiny

1/4x: Henry

1/3x+1/4x+x=57

4/12x+3/12x+x=57

7/12x+x=57

19/12x=57

x=57*12/19

x=36

1/3x=36/3

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7 0
3 years ago
Read 2 more answers
$13,168is invested, part at 13%and the rest at
Kryger [21]

Answer: the amount invested at 13% is $9748

the amount invested at 5% is $3420

Step-by-step explanation:

Let x represent the amount invested at 13%.

Let y represent the amount invested at 5%.

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x + y = 13168

The formula for determining simple interest is expressed as

I = PRT/100

Where

I represents interest paid on the loan.

P represents the principal or amount taken as loan

R represents interest rate

T represents the duration of the loan in years.

Considering the amount invested at 13%,

P = x

R = 13%

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I = (x × 13 × 1)/100 = 0.13x

Considering the amount invested at 5%,

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If the interest earned from the amount invested at

13% exceeds the interest earned from the amount invested at

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0.13x - 0.05y = 1438.24 - - -- - - - - -1

Substituting x = 13168 - y into equation 1, it becomes

0.13(13168 - y) - 0.05y = 1438.24

1711.84 - 0.13y - 0.05y = 1438.24

- 0.13y - 0.05y = 1438.24 - 1711.84

- 0.08y = - 273.6

y = - 273.6/- 0.08

y = 3420

x = 13168 - y = 13168 - 3420

x = 9748

7 0
3 years ago
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KATRIN_1 [288]
19/4 = 4 3/4 ft which is less than 5ft
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x \geq -10\\

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