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2 years ago

You invest in $5,000 in an account earning simple interests. The balance after 6 years is $6,200. What is the interests rate?

Mathematics

1 answer:

shtirl [24]2 years ago

4 0

Answer:

The interest rate is 4% per annum.

Step-by-step explanation:

Let the interest rate that I am getting is r% per annum.

So, my $5000 investment becomes $6200 after getting r% simple interest for 6 years.

So, from formula of simple interest we can write

$6200 = 5000(1 +\frac{rt}{100})$

⇒ $1.24 = 1 + \frac{6r}{100}$

⇒ $\frac{6r}{100} = 0.24$

⇒ r = 4%

Therefore, the interest rate is 4% per annum. (Answer)

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5+ x2 – 7х <br><br><br> What is the answer?

PolarNik [594]

Answer:

$-5x+5$

Step-by-step explanation:

$5+2x-7x$

Combine like terms:

$2x-7x+5\\$

which is

$-5x+5$

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−3(2x+7)=12x<br> what is x?

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X=-7/6
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a norman window has the shape of a rectangle surmounted by a semicircle. if the perimeter of the window is 25 feet, express the

sp2606 [1]

The area of the window is $\frac{25x}{2} -(1 +\frac{\pi}{2} )\frac{x^2}{2}$

The shape of the Norman window is described as a rectangle surmounted by a semicircle.

Let 'x' be the width of the window.

Then this width corresponds to the diameter of the semicircle.

That is, radius of the semicircle = x/2

Now given the perimeter of the whole window = 25 ft

This perimeter is equal to the sum of 3 sides of the rectangle and the perimeter of the semicircle.

Perimeter of the semicircle = $\frac{2\pi r}{2} = \frac{\pi x}{2}$ , where r is the radius of the semicircle.

Now let 'y' be the length of the window.

Then sum of three sides of the window = 2y + x

So 2y + x + $\frac{\pi x}{2}$ = 25

Therefore, $y =( 25 - x - \frac{\pi x}{2} ) / 2$

Area of the window = Area of the semicircle + Area of the rectangle =

$\frac{\pi x^2}{8} +xy = \frac{\pi x^2}{8} + x( 25 - x - \frac{\pi x}{2} ) / 2\\ = \frac{\pi x^2}{8} + (25x - x^2 - \frac{\pi x^2}{2} ) / 2$

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1 year ago

7goes into 33 how many times

Allisa [31]

7 goes into 33, 4.714. That is when you round up the number.

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2 years ago

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1. Given the below sequence: -1, -3, -5, -7, . . . (a) What are the next 3 terms? (b) Is this an arithmetic or geometric sequenc

valentinak56 [21]

Answer:

(a) -7 , - 9 , - 11

(b) Arithmetic sequence

(d) -53

Step-by-step explanation:

(a) To find the next three terms , we must firs check if it is arithmetic sequence or a geometric sequence . For it to be an arithmetic sequence , there must be a common difference :

check :

-3 - (-1) = -5 - (-3) = -7 - (-5) = -2

This means that there is a common difference of -2 , which means it is an arithmetic sequence.

The next 3 terms we are to find are: 5th term , 6th term and 7th term.

$t_{5}$ = a + 4d

$t_{5}$ = - 1 + 4 ( -2 )

$t_{5}$ = -1 - 8

$t_{5}$ = - 9

6th term = a +5d

$t_{6}$ = -1 + 5(-2)

$t_{6}$ = -1 - 10

$t_{6}$ = - 11

$t_{7}$ = a + 6d

$t_{7}$ = -1 + 6 (-2)

$t_{7}$ = -1 - 12

$t_{7}$ = -13

Therefore : the next 3 terms are : -9 , -11 , - 13

(b) it is an arithmetic sequence because there is a common difference which is -2

(d) $t_{27}$ = a + 26d

$t_{27}$ = -1 + 26 ( -2 )

$t_{27}$ = -1 - 52

$t_{27}$ = - 53

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