Ask question

Ask question

All categories

2 years ago

14

Sarina borrowed $5,800 at a simple interest rate of 7½% per year. After a certain number of years she had paid $1,305 in interes

t altogether. How many years was that?

1 answer:

Semmy [17]2 years ago

7 0

Answer:

2.81 years

Step-by-step explanation:

Please 5 star and brainest

You might be interested in

Which of the following would not be a correct interpretation of a correlation of r = .35?

Nikitich [7]

Even though it may look like the option is E the real answer is that the variables are invesely related. So your answer will be D

8 0

2 years ago

In circle C, r = 32 units.<br> What is the area of circle C?

Gnoma [55]

Answer:

A = 1024π units², A ≈ 3216.99 units²

Step-by-step explanation:

The equation of the area of a circle is A = πr², where A = area and r = radius.

Given that, we can plug in r as 32 units: <em>A = π(32 un.)²</em>

Simplifying that gives us A = 1024π units², or A ≈ 3216.99 units²

7 0

2 years ago

Find the slope for a line perpendicular to y= -5/3x+7

aleksley [76]

Answer:

3/5

Step-by-step explanation:

To find the slope of the given line we need to get the line into slope-intercept form (y = mx + b), which means we need to solve for y: The slope of the line y=-5/3x+7 is m = 3/5. Step 2: Use the slope to find the y-intercept.

3 0

3 years ago

1.09 times 10 to the negative 3rd power

adoni [48]

Answer:

0.00109

Step-by-step explanation:

1.09(10^−3)

=1.09*10^−3

=1.09* 1 /10*10*10

=0.00109

5 0

2 years ago

Consider the following. f(x) = x5 − x3 + 6, −1 ≤ x ≤ 1 (a) Use a graph to find the absolute maximum and minimum values of the fu

kykrilka [37]

ANSWER

See below

EXPLANATION

Part a)

The given function is

$f(x) = {x}^{5} - {x}^{3} + 6$

From the graph, we can observe that, the absolute maximum occurs at (-0.7746,6.1859) and the absolute minimum occurs at (0.7746,5.8141).

b) Using calculus, we find the first derivative of the given function.

$f'(x) = 5 {x}^{4} - 3 {x}^{2}$

At turning point f'(x)=0.

$5 {x}^{4} - 3 {x}^{2} = 0$

This implies that,

${x}^{2} (5 {x}^{2} - 3) = 0$

${x}^{2} = 0 \: or \: 5 {x}^{2} - 3 = 0$

$x = - \frac{ \sqrt{15} }{5} \: or \: x = 0 \: \: or \: x =\frac{ \sqrt{15} }{5}$

We plug this values into the original function to obtain the y-values of the turning points

$( - \frac{ \sqrt{15} }{5} , \frac{1}{125} ( 6 \sqrt{15} +750)) \:and \: (0, - 6) \: and\: ( \frac{ \sqrt{15} }{5} , \frac{1}{125} ( - 6 \sqrt{15} +750))$

We now use the second derivative test to determine the absolute maximum minimum on the interval [-1,1]

$f''(x) = 20 {x}^{3} - 6x$

$f''( - \frac{ \sqrt{15} }{5} ) \: < \: 0$

Hence

$( - \frac{ \sqrt{15} }{5} , \frac{1}{125} ( 6 \sqrt{15} + 750))$

is a maximum point.

$f''( \frac{ \sqrt{15} }{5} ) \: > \: 0$

Hence

$( \frac{ \sqrt{15} }{5} , \frac{1}{125} (- 6 \sqrt{15} + 750))$

is a minimum point.

$f''(0) \: =\: 0$

Hence (0,-6) is a point of inflexion

4 0

2 years ago