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3 years ago

Miwa borrows $1250 for 1 year. At the end of the year, she pays $112.50 in interest. Find the rate of interest she was charged.

Mathematics

1 answer:

Novosadov [1.4K]3 years ago

5 0

Answer: 10%

Step-by-step explanation: The formula to calculate simple interest is Interest = Principal x Rate x Time

With the number in the formula, 112.50 = 1,250 x r x 1

Simplify:

112.50 = 1,250r

Divide both sides by 1,250:

.1 = r

Therefore, the rate is 10%

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You have 400 feet of fencing to enclose a rectangular plot. Find the length and width of the plot that will maximize the area. W

3241004551 [841]

Well, we can denote L and W for the length and width respectively. Lets say the A is the area, we have: 1. A=(L × W) as well as 2. 2(L+W)=400. We rearrange the second equation to get 3. W=200-L. From this, we can see that 0<L<200. Substitute the third equation into the first to get A=(200L-L²). put this formula into the scientific calculator and you will find a parabola with a maximum. That would be the maximum area of the enclosed area. Alternatively, we can say that L is between 0 and 200 when the area equals 0. (The graph you find will be area against length). As the maximum is generally found halfway, we substitute 100 into the equation and we end up with 10000.

Hope this helps.

6 0

3 years ago

Item 7 You run for 2 hours at a speed no faster than 6.3 miles per hour.Question 1 Write an inequality that represents the possi

aalyn [17]

The formula which relates Distance, av.Speed and Time is
$Distance=Speed\cdot Time$

The maximal Distance would be covered if the average speed was 6.3 miles per hour.

In that case D=6.3 (mi/h) * 2 h = 12.6 mi

thus, if x represents the number of miles, x≤12.6 mi

Answer: x≤12.6 mi

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4 years ago

What must be added to f(x) = 4x4 + 2x3 -2x2 +x - 1, so that the resulting polynomial is divisible by g(x) = x2 +2x -3?

s344n2d4d5 [400]

Answer:

p(x) = -4*x^4 - 2*x^3 + 3*x^2 + 1*x - 2

Step-by-step explanation:

We want to find a polynomial p(x), such that if we add that polynomial to:

f(x) = 4*x^4 + 2*x^3 - 2*x^2 + x - 1

we get:

g(x) = x^2 + 2*x - 3

This is:

f(x) + p(x) = g(x)

Notice that f(x) is a polynomial of degree 4 and g(x) is a polinomial of degree 2, so p(x) must be also a polynomial of degree 4.

p(x) = a*x^4 + b*x^3 + c*x^2 + d*x + e

Then we get:

(4*x^4 + 2*x^3 - 2*x^2 + x - 1) + (a*x^4 + b*x^3 + c*x^2 + d*x + e) = x^2 + 2*x - 3

We can simplify the left side to:

(4 + a)*x^4 + (2 + b)*x^3 + (-2 + c)*x^2 + (1 + d)*x + (-1 + e) = x^2 + 2*x - 3

Because in the right side we do not have terms with exponent 4 and 3, we must have that:

4 + a = 0

2 + b = 0

and for the other exponents of x we just match the exponent in the left side with the correspondent one in the right side:

(-2 + c) = 1

(1 + d) = 2

(-1 + e) = -3

Solving the 5 equations we get:

a = -4

b = -2

c = 1 + 2 = 3

d = 2 - 1 = 1

e = -3 + 1 = -2

Then the equation for p(x) is:

p(x) = -4*x^4 - 2*x^3 + 3*x^2 + 1*x - 2

6 0

3 years ago

What is the rate of change for the graph?

Reptile [31]

Answer: 2

Step-by-step explanation:

Rate of change is another way of saying slope. Since slope is rise/run, this functions slope is 2/1 or just 2

8 0

3 years ago

Read 2 more answers

Help

podryga [215]

$220 + 300 = \boxed{\bf{520}}$

3 0

3 years ago