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3 years ago

Find the volume I’ll mark brainliest

Mathematics

1 answer:

rodikova [14]3 years ago

8 0

Answer: 25.13 m

Step-by-step explanation: pi x 2^2x 6= 25.13

This is an approximate number but it should be correct

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Suppose a population of honey bees in Ephraim, UT has an initial population of 2300 and 12 years later the population reaches 13

Rama09 [41]

Answer:

common ratio: 1.155

rate of growth: 15.5 %

Step-by-step explanation:

The model for exponential growth of population P looks like: $P(t)=P_i(1+r)^t$

where $P(t)$ is the population at time "t",

$P_i$ is the initial (starting) population

$(1+r)$ is the common ratio,

and $r$ is the rate of growth

Therefore, in our case we can replace specific values in this expression (including population after 12 years, and initial population), and solve for the unknown common ratio and its related rate of growth:

$P(t)=P_i(1+r)^t\\13000=2300*(1+r)^{12}\\\frac{13000}{2300} = (1+r)^12\\\frac{130}{23} = (1+r)^{12}\\1+r=\sqrt[12]{\frac{130}{23} } =1.155273\\$

This (1+r) is the common ratio, that we are asked to round to the nearest thousandth, so we use: 1.155

We are also asked to find the rate of increase (r), and to express it in percent form. Therefore we use the last equation shown above to solve for "r" and express tin percent form:

$1+r=1.155273\\r=1.155273-1=0.155273$

So, this number in percent form (and rounded to the nearest tenth as requested) is: 15.5 %

6 0

3 years ago

Derrick will need $39,500 in 10 years for college tuition. How much should his parents invest now at 9.5% annual interest, compo

erastova [34]

Answer:

His parents should invest $15,278.16 to reach this goal ⇒ 4th answer

Step-by-step explanation:

* Lets explain how to solve the problem

- Derrick will need $39,500 in 10 years for college tuition

∴ The future amount is $39,500

∴ The time for investment is 10 years

- P is the money his parents invest now at 9.5% annual interest,

compounded daily

∴ The rate is 9.5% per year compounded daily

- The formula of the compounded interest is:

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

# A is the future value of money

# P is the value of investment

# r is the rate of interest in decimal

# t is the time of investment

# n is the period of the time

∵ A = $39,500

∵ t = 10

∵ r = 9.5/100 = 0.095

∵ n = 365 ⇒ compounded daily

- Lets use the formula above to find P

∴ $39500=P(1+\frac{0.095}{365})^{365*10}$

∴ $39500=p(2.58539)$

- Divide both sides by 2.58539

∴ P = $15278.16

∴ His parents should invest $15,278.16 to reach this goal

7 0

3 years ago

Help me with writing a check please

Dennis_Churaev [7]

Answer: pay to the order of: Price Chopper.... $145.19.... next line: One hundred forty-five and 19/100.... bottom left line: whatever the money is for.... next line: signature. 5. fifty-four and 68/100 dollars 6. One hundred seventeen and 92/100 dollars 7. twenty dollars

Step-by-step explanation:

3 0

2 years ago

Please help me find the slopes and explain rise and run.Its confusing for me im in algebra 1 by the way and the rise and run con

Tju [1.3M]

Graph 1: -3 is the slope
Graph 2: 4/5 is the slope

3 0

3 years ago

1. If I get a loan of $30,000 and I promise to pay in 10 equal instalments of $3,000 each semester, how much interest in total d

Gekata [30.6K]

Answer:

yes because when you multiply 3000 by 10 that gives you a total of 30000 that you paid off

7 0

3 years ago