All categories

4 years ago

Calculate the average for this list of numbers: 2000.56 709.90 3.45 67.34 550.90

Mathematics

1 answer:

Neko [114]4 years ago

4 0

Add them all up then divide by 5, so it should be 666.43

You might be interested in

What is the value of b????

Ann [662]

Answer:

Step-by-step explanation:

none just 32

5 0

3 years ago

Factor by using the distributive property: 8x - 4y + 20.

STatiana [176]

D since if you just use the prophet

6 0

3 years ago

Find the volume of the solid enclosed by the surfaces x² + y² + z² = a , x² + y² +z² = b , (a<b) and z = (x² + y² )½

Makovka662 [10]

The solid - I'll call it <em>R</em> - is best described in spherical coordinates:

$R = \left\{(\rho,\theta,\varphi) \mid \sqrt{a}\le\rho\le\sqrt{b}, 0\le\theta\le2\pi, 0\le\varphi\le\dfrac\pi4\right\}$

Then the volume of <em>R</em> is

$\displaystyle\iiint_R\mathrm dV = \int_0^{\frac\pi4}\int_0^{2\pi}\int_{\sqrt a}^{\sqrt b}\rho^2\sin(\varphi)\,\mathrm d\rho\,\mathrm d\theta\,\mathrm d\varphi \\\\\\ \displaystyle = \boxed{\frac{2\pi}3\left(b^{\frac32}-a^{\frac32}\right)\left(1-\dfrac1{\sqrt2}\right)}$

8 0

3 years ago

Part 1:

Andrew [12]

Answer:

Part 1) $8.3\ years$

Part 2) $\$2,424.27$

Part 3) $\$2,266.02$

Part 4) In the procedure

Step-by-step explanation:

Part 1) we know that

The compound interest formula is equal to

$A=P(1+i)^{n}$

where

A is the Final Investment Value

P is the Principal amount of money to be invested

i is the interest rate in decimal

n is number of years

n is the number of times interest is compounded per year

in this problem we have

$P=\$2,200\\ A=\$2,500\\ r=0.0155\\n=?$

substitute in the formula above

$\$2,500=\$2,200(1+0.0155)^{n}$

$(2,500/2,200)=(1.0155)^{n}$

Applying log both sides

$log(2,500/2,200)=(n)log(1.0155)$

$n=log(2,500/2,200)/log(1.0155)$

$n=8.3\ years$

Part 2)

in this problem we have

$P=?\\ A=\$2,500\\ r=0.0155\\n=2\ years$

substitute in the formula above

$\$2,500=P(1+0.0155)^{2}$

$\$2,500=P(1.0155)^{2}$

$P=\$2,500/(1.0155)^{2}$

$P=\$2,424.27$

Part 3) in this problem we have

$P=\$2,000\\ r=0.018\\n=7\ years$

substitute in the formula above

$P=\$2,000(1+0.018)^{7}=\$2,266.02$

The money is not enough

Part 4)

I would personally increase the investment from 2,200 dollars so that it grows to 2,500 dollars at the time I want to make the trip, for example if I wanted to make the trip in two years, I would increase the initial investment from 2200 dollars to 2427 dollars.

6 0

3 years ago

Michelle paid $3.00 per shirt. When she sells each shirt, she adds 150% markup to the price she paid for the shirt. What is the

Bogdan [553]

Answer:

$8.50 per shirt

Step-by-step explanation:

If the shirt was $3 originally, and they added 150% markup, 100% of 3 is 3.

so a 100% markup of a $3 shirt would be 6 dollars.

But since she marked it up 150%, you have to know 50% of $3.

50% of something is half, so

3 / 2 = 1.5

so ontop of the $3 extra, she adds $1.5, so

3 + 3 + 1.5 = 8.5

Michelle will sell the shirts for $8.50 each

7 0

3 years ago