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3 years ago

Translate the sentence into an inequality. Four subtracted from c is less than - 20 .

Mathematics

1 answer:

11Alexandr11 [23.1K]3 years ago

3 0

Answer:

$\displaystyle -4 + c < -20$

Step-by-step explanation:

You could either do what I did in the above answer, or you could do this:

$\displaystyle c - 4< -20$

It does not matter how you write it, as long as you understand the concept!

I am joyous to assist you anytime.

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A point p in the first quadrant lies on the parabola y=x^2. Express the coordinates of p as a function of the angle of inclinati

max2010maxim [7]

Answer:

The coordinates of the point p are: $(x,xtan\alpha )$

Explanation:

1. Name the angle of inclination of the line joining p to the origin α.

2. Find the relation between the coordinates of the point (x,y)

When you draw a line from the origin to the parabola, the intersection point, p(x,y) will have coordinates (x,y).

As per the definition of the tangent trigonometric ratio you have:

$tan\alpha =\frac{y}{x}$

From which you can clear y:

$y=xtan\alpha =>(x,y)=(x,xtan\alpha )$

Which is the expression of the coordinates of p as a function of the angle of inclination of the line joining p to the origin.

8 0

3 years ago

A binomial consists of how many terms

patriot [66]

2 because “bi” means 2

5 0

3 years ago

What is the future amount of 12,000 invested for 5 years at 14% compounded monthly?

Triss [41]

The total amount accrued, principal plus interest, with compound interest on a principal of $12,000.00 at a rate of 14% per year compounded 12 times per year over 5 years is $24,067.32.The amount of the initial loan, or principal, is multiplied by one plus the annual interest rate raised to the number of compound periods minus one to determine compound interest.

<h3 /><h3>what is compound interest?</h3>

To begin, change R from a percentage to a decimal, using the formula:

r = R/100 r = 14/100

r = 0.14 rate per year;

Next, find A by solving

A = P(1 + r/n)nt A = 12,000.00(1 + 0.14/12)(12). (5)

A = 12,000.00(1 + 0.011666666666667)(60) (60)

A = $24,067.32

Summary: The total amount accrued, principal plus interest, with compound interest on a principal of $12,000.00 at a rate of 14% per year compounded 12 times per year over 5 years is $24,067.32.

The amount of the initial loan, or principal, is multiplied by one plus the annual interest rate raised to the number of compound periods minus one to determine compound interest. You will then be left with the loan balance plus compound interest.

To learn more about interest refer to:

brainly.com/question/2294792

#SPJ13

8 0

1 year ago

If a 10-pound sack of potatoes costs $6.55, how much would 1 pound cost? Round your answer to the nearest cent.

Black_prince [1.1K]

$\begin{array}{ccc}10\ lb&-&\$6.55\\\\1\ lb&-&\$ x\end{array}\ \ \ |cross\ multiply\\\\\\\\10\cdot x=1\cdot6.55\\\\10x=6.55\ \ \ \ |divide\ both\ sides\ by\ 10\\\\x=\frac{6.55}{10}\\\\x=0.65\underline{5}\approx\boxed{\$0.66}\\$

If the number you are rounding is followed by 5, 6, 7, 8, or 9, round the number up (+1).

3 0

3 years ago

A student is selling small and large frozen pizzas for a school fund-raiser.

dexar [7]

System of equations:

We'll need one equation for the amount of pizzas, and another for the total cost of the pizzas. In this case, x will represent small pizzas, and y will represent large pizzas.

3x + 4y = 100

x + y = 30

Solving the system of equations:

First, we need to solve for one variable in one equation.

x + y = 30

x = 30 - y

Then, we'll take our equation that is solved for x and plug it into the other equation from above.

3(30 - y) + 4y = 100

Next, we solve for y.

90 - 3y + 4y = 100

90 + y = 100

y = 10

Finally, we take our value for y and plug it back in to the very first equation and solve for x.

x = 30 - 10

x = 20

Answer:

The student has sold 10 large pizzas and 20 small pizzas.

Hope this helps!! :)

6 0

3 years ago