Which ordered pair is a solution of the equation y = 5x? (–2, 10) (–5, 25) (–3, 15) (–2, –10)

Answers

Answer 1

Answer: the answer is (-2,-10) you just need to plug them in.

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Biologists are treating a lake contaminated with bacteria. The level of contamination is changing at a rate of dN/dt=-1110/t² -230 bacteria percubic centimeter per day, where is the number of days since treatment began. Find a function N(t) to estimate the level of contamination if the
level after I day was 5380 bacteria per cubic centimeter.

Answers

Answer: the function N(t) to estimate the level of contamination in the lake is:

N(t) = -1110 ln(t) - 230t + 1110 ln(I) + 230I + 5380

Step-by-step explanation: ∫ dN/dt dt = ∫ (-1110/t² -230) dt

N(t) = -1110 ln(t) - 230t + C

N(I) = -1110 ln(I) - 230I + C = 5380

C = 1110 ln(I) + 230I + 5380

Determine the principal P that must be invested at rate r = 7%, compounded monthly, so that $500,000 will be available for retirement in t = 19 years. (Round your answer to the nearest cent.)P = $

Answers

19 years = 228 months
if i si the rate per month (1+i)^12 = 1,07 => 1 + i = 12√1,07 = 1,00565
500 000 = (1,00565)^(228).x => x = 500 000/3,616 = $138 254,16

Aisha owns an apparel store. She bought some shirts and jeans from a wholesaler for $3,900. Each shirt cost $12 and each pair of jeans cost $28. If she sold the shirts at 70% profit and jeans at 125% profit, her total profit was $3,885. How many shirts and jeans did she buy from the wholesalers?

Answers

Let

x-------> the number of shirts

y------> the number of jeans

we know that

$12x+28y=3,900$ -------> equation $1$

If she sold the shirts at $70\%$ profit and jeans at $125\%$ profit, her total profit was $\$3,885$

$1.7*(12x)+2.25*(28y)=3,900+3,885$

$20.4x+63y=7,785$ -------> equation $2$

we have the following system of equations

$12x+28y=3,900$ -------> equation $1$

$20.4x+63y=7,785$ -------> equation $2$

using a graph tool

see the attached figure

The solution of the system is the intersection both graphs

the solution is the point $(150,75)$

that means

$x=150\ shirts\ny=75\ jeans$

therefore

the answer is

the number of shirts is $150$

the number of jeans is $75$

Let the number of shirts be x, and the jeans be y.

Total cost of shirts = 12x
Total cost of Jeans = 28y

This means that: 12x + 28y = 3900..........(a)

Selling price for Shirts 70% profit, means = 100% + 70% = 170% of the cost price

170/100 * 12x = 1.7*12x = 20.4x

Selling price for Jeans 125% profit, means = 100% + 125% = 225% of the cost price

225/100 * 28y = 2.25*28y = 63y

Total profit = 3885, remember total cost = 3900

Total selling price = 3885 + 3900 = 7785

20.4x + 63y = 7785..........(b)

12x + 28y = 3900.............(a)

20.4x + 63y = 7785...........(b)

Solving the simultaneous equation with a programmable calculator:

x = 150, y = 75

150 shirts and 75 jeans.

The price of a dozen eggs was $1.63. The price rose m dollars. Then the price dropped $.12 per dozen. Express the current price of eggs after the two price changes.

Answers

1.63
rose m
1.63+m
dropped 0.12
1.63+m-0.12
1.63-0.12+m
1.51+m
current price=1.51+m

14x=6y-12 put this in slope intercept form

Answers

Answer:

To put the equation 14x = 6y - 12 into slope-intercept form (y = mx + b), where m represents the slope and b represents the y-intercept, we need to isolate the y variable on one side of the equation.

Starting with 14x = 6y - 12, we can rearrange the equation as follows:

6y = 14x + 12

Dividing both sides of the equation by 6, we get:

y = (14/6)x + 2

Simplifying further, the equation can be written in slope-intercept form as:

y = (7/3)x + 2

So, the equation 14x = 6y - 12, in slope-intercept form, is y = (7/3)x + 2.

1. You can finish 9 math problems in 20/3 minutes. What is your unit rate of problems per minute?2. Josie can solve 4/3 rubix cubes in 1/6 of an hour. How many rubix cubes can she solve in one hour?
3. Juan can ride his bike 19.3 miles in 5/3 of an hour. what is the unit rate riding speed
4. Rakelle bought 12/7 pounds of oranges for $2.43. What is the unit rate for her buying oranges? (Write answer as a dollar amount.)
5. Tyler can eat 2/3 of a bag of chips in 6/5 minutes. What is his unit rate for eating chips?

Answers

Where is the question to this or is this the answer

Answer:

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Step-by-step explanation:

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