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3 years ago

9

A sum of $5000 is invested at an interest rate of 5% per year. Find the time required for the money to double if the interest is

compounded continually. A(t)=Pe^rt

1 answer:

Temka [501]3 years ago

4 0

5000e^.05t=10000 solve

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The length of a rectangle is twice its width. Find its area, if its perimeter is 7 1/3 cm The area of the rectangle is _sq. cm.

Harman [31]

Answer:

The area of rectangle is $2\frac{80}{81}\ cm^2$

Step-by-step explanation:

we know that

The perimeter of a rectangle is equal to

$P=2(L+W)$

we have

$P=7\frac{1}{3}\ cm=7+\frac{1}{3}=\frac{22}{3}\ cm$

so

$\frac{22}{3}=2(L+W)$

$\frac{11}{3}=(L+W)$ ----> equation A

Remember that

The length of a rectangle is twice its width.

so

$L=2W$ ----> equation B

substitute equation B in equation A

$\frac{11}{3}=(2W+W)$

solve for W

$W=\frac{11}{9}\ cm$

Find the value of L

$L=2(\frac{11}{9})$

$L=\frac{22}{9}\ cm$

<em>Find the area of rectangle</em>

$A=LW$

substitute the values

$A=(\frac{22}{9})(\frac{11}{9})$

$A=\frac{242}{81}\ cm^2$

Convert to mixed number

$\frac{242}{81}\ cm^2=\frac{162}{81}+\frac{80}{81}=2\frac{80}{81}\ cm^2$

7 0

3 years ago

Combine the like terms to create an equivalent expression: <br> 2s+(−4s)=?

Sergeeva-Olga [200]

Answer:

$2s+\left(-4s\right)=-2s$ is the equivalent expression as $2s+\left(-4s\right)$ is equal to $-2s$ .

Step-by-step explanation:

Considering the expression

$2s+\left(-4s\right)$

As we know that

Like terms are said to be the terms which hold the same variables raised to the same power.

For example, $3x$ and $2x$ are like terms as they contain the same variable $x$ raised to the same power.

Lets solve the expression

$2s+\left(-4s\right)$

$\mathrm{Remove\:parentheses}:\quad \left(-a\right)=-a$

$2s-4s$

$\mathrm{Add\:similar\:terms:}\:2s-4s=-2s$

$-2s$

Therefore,

$2s+\left(-4s\right)=-2s$ is the equivalent expression as $2s+\left(-4s\right)$ is equal to $-2s$ .

Keywords: equivalent expression, like terms

Learn more about equivalent expression from brainly.com/question/8902137

#learnwithBrainly

4 0

3 years ago

a circular fountain has a radius of 9.4 feet. find its diameter and circumference to the nearest tenth.

Leni [432]

Diameter is 2r, or 18.8 ft

Circumference is 2*pi*r, or 59.1 ft

3 0

4 years ago

Read 2 more answers

A shopkeeper sold a watch for Rs 810 at 10% loss. How much did he pay to buy the watch ? <br>

Svetlanka [38]

Answer:

Rupees 891

Step-by-step explanation:

If you multiply 810 times 0.1 which is the decimal of 10%, you get 81 which you can add to 810 to get 891 which is the price the shopkeeper payed to buy the watch.

Hope this helps!!! PLZ MARK BRAINLIEST!!!

7 0

3 years ago

-8x^2+4x+5=0 using quadratic formula

daser333 [38]

So you want to solve for x?

It would be nice if this would easily factor:
(-4x + 5)(2x +1) = 0    This will not work!

So you need to use the quadratic formula:
a = -8, b = 4, c = 5

$x = \frac{-b+/- \sqrt{b^{2}-4ac} }{2a}$

x = (-4 +/- $\sqrt{16-4(-8)(5)}$ )/2(-8)
   = (-4 +/- $\sqrt{16 + 160}$ )/-16
   = (-4 + $\sqrt{176}$ )/-16
   = 1/4 - $\sqrt{11}$ /4

6 0

3 years ago