A line passes through (4,5) and (8,9). which equation best represents the line?

The height and diameter of a cone-shaped storage tank are 9 feet (height) and 14 feet

lana [24]

Answer: 461.60 is the volume of liquid the tank can hold.

Step-by-step explanation:

We were given;

Height H = 9 ft

Diameter D = 14 ft

Pie π = 3.14

We will make use the formula of volume of a cone to get volume of water the tank can hold because it is said that the tank is in the shape of a cone

So

V = 1/3 * πr2h

First we need to find our radius r

Radius = 1/2 of diameter = 14/2 = 7

So using the formula

V = 1/3 * πr2h

V = 1/3 (3.14 * 7² * 9)

V = (3.14 * 49 * 9)/3

V = 1384.74 / 3

V = 461.58 = 461.60 (nearest ten)

3 0

3 years ago

A. Suppose you have just inherited a sum of money. Let’s say you choose to invest the money. How much did you inherit? Choose an

leva [86]

Amount =$48003.20

Step-by-step explanation:

Here apply the compound interest formula;

$A=P(1+\frac{r}{n} )^{nt}$

where;

P=Principal amount invested = $37500

r=rate of interest as a decimal, 2.5% =0.025

n=number of compounding per year=1

t=time period the amount in invested=10

In our case, the amount after investing will be;

$A=37,500(1+0.025)^{10} \\\\A=37,500(1.025)^{10} \\\\A=48003.20$

Interest earned after the period= $48003.20-$37500 =$10503.20

Learn More

Compound Interest formula application: brainly.com/question/7014337

Keywords: inherit, sum, money, interest

#LearnwithBrainly

3 0

3 years ago

Suppose Mai places $3500 in an account that pays 19% interest compounded each year.

rodikova [14]

Answer:

a.$4165

b.$4956.35

Step-by-step explanation:

a)19% × 3500 = 665.

3500+665 =4165

b)19% × 4165 = 791.35

4165+791.35= 4956.35

4 0

1 year ago

N artist makes three types of ceramic statues (large, medium, and small) at a monthly cost of $760 for 210 statues. The manufact

Arlecino [84]

Answer:

20, 90 and 100

Step-by-step explanation:

Total number of statues = 210

Assuming that a large statue = x, medium statue = y and a small statue = z

Then, x + y + z = 210........i

Also, we're told that the monthly cost is $760, so

5x + 4y + 3z = 760.........ii

Cost of selling is $3640, so then

26x + 18y + 15z = 3640.........iii

Solving i and ii simultaneously, we have

5x + 5y + 5z = 1050

5x + 4y + 3z = 760

Subtracting, we have

y + 2z = 290.........iv

Again, solving ii and iii simultaneously, we have

130x + 104y + 78z = 19760

130x + 90y + 75z = 18200

On subtracting, we have

14y + 3z = 1560.........v

And finally, solving iv and v simultaneously, we also have

14y + 28z = 4060

14y + 3z = 1560

On subtracting,

25z = 2500

z = 2500 / 25

z = 100

Substituting for z = 100 in iv, we have

y + 2(100) = 290

y + 200 = 290

y = 290 - 200

y = 90

Substituting for y = 90, and z = 100 in i

x + 90 + 100 = 210

x + 190 = 210

x = 210 - 190

x = 20

Therefore, large statues has to be 20, medium statues has to be 90, and small statues has to be 100

7 0

3 years ago

Jack bought a stereo on sale for $231 . The original price was $385 . What was the percent of decrease in a price

Alenkinab [10]

231 / 385 = 0.6 diving the price it is by the price is was gives the answer
= 60%

8 0

3 years ago