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kumpel [21]
4 years ago
14

If $1,800 is invested in a savings account offering interest at a rate of 4.5% per year, compounded continuously, how fast is th

e balance growing after 3 years
Physics
1 answer:
Archy [21]4 years ago
3 0

Answer:

The total amount  after 3 years is = $ 2054.10

Explanation:

Given data

Principal Amount (P) = $ 1800

Rate of interest (R) = 4.5 %

Thus the total amount after 3 years compounded annually is given by the formula =  P × [1 +\frac{R}{100}  ]^{3}

⇒ 1800 × [1 +\frac{4.5}{100}  ]^{3}

⇒ 2054.10

Thus the total amount  after 3 years is = $ 2054.10

Compound interest earned in three years = 2054.10 - 1800 = $ 254.10

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Gbenga needs to get glasses to correct his farsightedness. His eyes currently cannot focus on objects that are within 2 ft (or 6
Scilla [17]

Answer:

Focal Length = 38.61cm, Power = 2.59 Diopter, Converging lens.

Explanation:

When an object is placed 25cm from Gbenga's eye, the glasses lens must produce an image 61cm away (Gbenga's eye near point).

An image 61cm from the eye will be (61cm - 1.6cm) from the glasses.

i.e. d_{i}=61cm-1.6cm=59.4cm

and d_{o} = 25cm - 1.6cm = 23.4cm

note d_{i} will be negative because the image is formed on the same side as the object.

finally, d_{i}=-59.4cm\\d_{o}=23.4cm

the formula for finding the focal length f is given as

f=\frac{d_{i}d_{o}  }{d_{o}+d_{i}  }

f=\frac{-59.4*23.4}{23.4-59.4} \\

f=\frac{-1389.96}{-36}

f=38.61cm

The focal length is positive which indicates converging lens

power p=\frac{1}{f}

but f\\ must be in metres

Therefore, f=38.61cm=0.3861m

p=\frac{1}{0.3861}

p=2.59 Diopter

3 0
4 years ago
What is 34 + (3) × (1.2465) written with the correct number of significant figures?
sergejj [24]
34 + 3.7395 = 37.7395
The answer is 38.
The answer is written to two significant figures because the smallest given  number of significant figure is 2.
6 0
4 years ago
Read 2 more answers
Unless an object at rest is acted upon by a force, it stays at rest due to its
Lelu [443]
There are a lot of things about this whole statement that bother me,
but I'm pretty sure you're not interested in those.  You just want a word
to glue onto the end and complete the statement.  OK.  Use "inertia".
4 0
3 years ago
Convert 15 litre into cubic metre​
atroni [7]

Answer:

0.015m^3

Explanation:

1 m^3 = 1000 liters

x m^3 = 15 liters

Cross multiply

xm^3 x 1000 l = 15 l

Divide both sides by 1000

xm^3 x1000/1000 = 15/1000

xm^3 = 0.015m^3

Therefore 15 liter = 0.015m^3

5 0
3 years ago
You lift a 45-newton bag of mulch 1.2 meters and carry it a distance of 10 meters to the garden. How much 
zysi [14]
To lift the bag straight up takes (F · D) = (45 · 1.2) = 54 joules of energy (work).

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It doesn't matter how far.
4 0
4 years ago
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