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Marizza181 [45]

3 years ago

15

what is the volume of the square pyramid with the square base that is 7 centimeters by 7 centimeters and the height is 8 centime

ters? round the answer to the nearest hundredth.

2 answers:

Leno4ka [110]3 years ago

6 0

Answer:

V=a²h/3

Step-by-step explanation:

vagabundo [1.1K]3 years ago

4 0

Answer:c

Step-by-step explanation:

i did the test

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Fiona invested $1000 at 7% compounded continuously. At the same time, Maria invested $1100 at 7% compounded daily. How long will

Natali [406]

9514 1404 393

Answer:

14,201 years

Step-by-step explanation:

The two compound interest formulas are ...

A = P·e^(rt) . . . . . continuous compounding at rate r for t years

A = P·(1 +r/365)^(365t) . . . . . daily compounding at rate r for t years

We went the amounts to be equal:

1000·e^(0.07t) = 1100·(1+0.07/365)^(365t)

Dividing by 1000(1 +0.07/365)^(365t), we have ...

((e^0.07)/(1+0.07/365)^365)^t = 1.1

The base of the exponential on the left is ...

( e^0.07)/(1+0.07/365)^365 ≈ 1.00000671149321522

Taking logs, we have ...

t×ln(1.00000671149321522) = ln(1.1)

t = ln(1.1)/ln(1.00000671149321522) ≈ 0.09531018/(6.7114704·10^-6)

t ≈ 14,201.09 . . . . . years

It will take about 14,201 years for the investments to be equal.

_____

<em>Additional comment</em>

The investment value at that time will be about $5.269·10^434. (That's a larger number than <em>anything</em> countable in the known universe, including energy quanta.)

These calculations are beyond the ability of many calculators, so might need to be carefully rewritten if the calculator only keeps 10 significant digits, or only manages exponents less than 100.

This shows that daily compounding is very close in effect to continuous compounding. It would take almost 150 years to make a difference of 0.1% in value.

4 0

3 years ago

By what percentages are Sweden's high category and medium category less than the United States' categories (to the nearest perce

Korolek [52]

REQUIRED CHART :

The required chart has been attached

Answer:

31.8%

30.0%

Step-by-step explanation:

Required :

To obtain the Difference between Sweden and United States high and medium categories to the nearest %

Sweden :

High category = $23.51

Medium category = $15.73

United States :

High category = $34.48

Medium category = $22.46

Percentage Difference :

High category : (34.48 - 23.51) / 34.48 * 100% = 31.8%

Medium category : (22.46 - 15.73) / 22.46 * 100% = 29.96% = 30.0%

7 0

3 years ago

A pole is centre of a circular pond of diameter 14m. Total height of a pole is 20m and its part inside a water is 3.5m. If a man

monitta

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3 years ago

5x²+4(7x²-x)-2x<br>simplified how would you do that

8_murik_8 [283]

33x
$32x^2 - 6x$

3 0

3 years ago

Which line of music shows a glide reflection<br> choices are below

yulyashka [42]

Answer:

your answer could be right but I'm not sure....

Step-by-step explanation:

Reflection is the mirror line drawn on the notes here. the one picked seems to have a relfection.

6 0

3 years ago

Read 2 more answers