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swat32
2 years ago
13

Find the lateral and surface area for the pyramid with a regular base. Where necessary, round to the nearest tenth.

Mathematics
1 answer:
Gwar [14]2 years ago
4 0

Answer:

Lateral area -288. Surface area-96

Step-by-step explanation: teacher told me

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F Tanisha has ​$ 1,000 to invest at 5 % per annum compounded ​, how long will it be before she has ​$1,400 ​? If the compounding
vladimir2022 [97]

With annual compounding, the number of years for 1000 to become 1400 is 6.7 years

With continous compounding, the number of years for 1000 to become 1400 is 1.35 years

<h3>How long would it take $1000 to become $1,400?</h3>

With annual compounding, the formula that would be used is:

(In FV / PV) / r

Where:

  • FV = future value
  • PV = present value
  • r = interest rate

(In 1400 / 1000) / 0.05 = 6.7 years

With continous compounding, the formula that would be used is:

(In 1400 / 1000) / (In e^r)

Where r = interest rate

((In 1400 / 1000) / (In e^0.05) = 1.35 years

To learn more about how to determine the number of years, please check: : brainly.com/question/21841217

#SPJ1

5 0
2 years ago
The population of a community is known to increase at a rate proportional to the number of people present at time t. The initial
GREYUIT [131]

Answer:

P(0) = 7,917

Step-by-step explanation:

The population of the community is given by the following formula:

P(t) = P(0)(1+r)^{t}

In which P(0) is the initial population and r is the growth rate.

The initial population P0 has doubled in 5 years.

This means that

P(5) = 2P(0)

Which lets us find r.

P(t) = P(0)(1+r)^{t}

2P(0) = P(0)(1+r)^{5}

(1+r)^{5} = 2

Applying the 5th root to both sides

1+r = 1.1487

r = 0.1487

So

P(t) = P(0)(1.1487)^{t}

Suppose it is known that the population is 12,000 after 3 years.

With this, we find P(0)

P(t) = P(0)(1.1487)^{t}

12000 = P(0)(1.1487)^{3}

1.5157P(0) = 12000

P(0) = \frac{12000}{1.5157}

P(0) = 7917

4 0
2 years ago
Find a polynomial f(x) of degree 3 that has the following zeros.
JulijaS [17]

Answer:

f(x) = x(x - 4)(x + 3)

Step-by-step explanation:

given f(x) with zeros x = a and x = b then the corresponding factors are

(x - a) and (x - b)

f(x) is then the product of these factors

Given zeros are x = 4, x = 0, x = - 3 then the factors are

(x - 4) , (x - 0), (x - (- 3)) , that is

(x - 4) , x , (x + 3)

f(x) = x(x - 4)(x + 3)

3 0
1 year ago
Solve for u<br> 5+4u=11<br> Simplify your answer as much as possible
r-ruslan [8.4K]

Answer:

u = 1.5

Step-by-step explanation:

5+4u=11

-5        -5

4u = 6

/4      /4

u=1.5

5 0
2 years ago
What is the perimeter of a lawn that is 25 feet long and 20 feet wide?
Inessa [10]

Answer:

Hey

Step-by-step explanation:

500 feet total is your answer because if you multiply the two numbers you et 500

7 0
2 years ago
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