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Lunna [17]
4 years ago
10

A bank lent $200,500 for the development of two products. If the loan for priduct X was for $50,500 more than that for product Y

, how much was lent for product Y​
Mathematics
1 answer:
Kaylis [27]4 years ago
8 0

Answer:

$75,000

Step-by-step explanation:

Let

x ----> amount lent for product X

y ---->amount lent for product Y

we know that

A bank lent $200,500 for the development of two products

so

x+y=200,500 ----> equation A

The loan for product X was for $50,500 more than that for product Y

so

x=y+50,500 ----> equation B

substitute equation B in equation A

y+50,500+y=200,500

solve for y

2y=200,500-50,500\\2y=150,000\\y=\$75,000

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If it takes you 40 minutes to go 20 miles downstream and then 60 minutes on the way back, what is the speed of the current?
IrinaK [193]

Answer:

Speed of Current = 5 miles per hour

Step-by-step explanation:

We know distance formula,

D = RT

Where

D is distance

R is rate

T is time

If we let speed of boat (assume) to be "x" and speed of current to be "c"

Then downstream rate is (with current) = x + c

Upstream rate is (against current) = x - c

40 mins to go 20 miles downstream, that means:

D = RT

20 = (x + c)(40)

and

60 minutes to go upstream, 20 miles, that means:

D = RT

20 = (x - c)(60)

Simplifying first equation:

40x + 40c = 20

Simplifying second equation:

60x - 60c = 20

Multiplying first equation by 60, we get:

60 * [40x + 40c = 20] = 2400x + 2400c = 1200

Multiplying second equation by 40, we get:

40 * [60x - 60c = 20] = 2400x - 2400c = 800

Now we add up both these equations:

2400x + 2400c = 1200

2400x - 2400c = 800

----------------------------------

4800x = 2000

x = 2000/4800 = 5/12

We need speed of current, that is "c", so we plug in the value of x into first equation and solve for c:

40x + 40c = 20\\40(\frac{5}{12}) + 40c = 20\\\frac{50}{3}+40c=20\\40c=20-\frac{50}{3}\\40c=\frac{10}{3}\\c=\frac{1}{12}

Speed of Current = 1/12 miles per minute

Since there is 60 minutes in an hours, that would be:

(1/12) * 60 = 5 miles per hour

Speed of Current = 5 miles per hour

3 0
3 years ago
Find the sum of the first 6 terms of 3 - 6 + 12 + …
Natalka [10]

Answer:

S_6 = -63

Step-by-step explanation:

The sequence above is a geometric sequence.

The common ratio (r) = \frac{-6}{3} = \frac{12}{-6} = -2

The common ratio < 1, therefore, the formula for the sum of nth terms of the sequence would be: S_n = \frac{a_1(1 - r^n)}{1 - r}

a1 = 3

r = -2

n = 6

Plug in the values into the formula

S_6 = \frac{3(1 - (-2^6)}{1 - (-2)}

S_6 = \frac{3(1 - (64)}{1 + 2}

S_6 = \frac{3(-63)}{3}

S_6 = -63

6 0
4 years ago
Which expression is equivalent to (xy)z?<br>o (x+y)+z<br>O2z(xy)<br>O x(y+z)​
____ [38]

Answer:

the first one

Step-by-step explanation:

7 0
3 years ago
Which shows how to solve the equation -4/5 x = 80 for x in one step
san4es73 [151]

Answer:

-  \frac{1}{100}

Step-by-step explanation:

-  \frac{4}{5x}  = 80 \\  -  \frac{4}{80 }  = 5x \\ x =  -  \frac{1}{100}

8 0
2 years ago
I will give Brainliest!!!
mixer [17]

Answer: C

Step-by-step explanation:

x = 2\sqrt{y+2} - 6

x + 6 = 2\sqrt{y+2}

((x+6)/2 = \sqrt{y+2} )^2

(x+6/2)^2 = y+2

y = (x+6/2)^2 -2

y= 1/4x^2 +3x +7

3 0
3 years ago
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