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garri49 [273]
3 years ago
15

if gh¢400.00 is deposited at a bank at 10% per annum compounded quarterly, how long will it take the deposit to double it value.

​
Mathematics
1 answer:
Semenov [28]3 years ago
8 0

Answer:

~ 7 years

Step-by-step explanation:

2 = (1 + .1/4)^(4t)

2 = (1.025)^(4t)

Take the log of both sides

log2 = 4t * log1.025

divide both sides by log1.025

log2/log1.025 = 4t

28.07103452593863 = 4t

Divide both sides by 4

7.017758631484657 = t

~ 7 years

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(Worth 30 points) What are the explicit equation and domain for an arithmetic sequence with a first term of 5 and a second term
kolbaska11 [484]

Answer:

a_n=5-2(n-1), all integers where n≥1

Step-by-step explanation:

we know that

The explicit equation for an arithmetic sequence is equal to

a_n=a_1+d(n-1)

a_n is the th term

a_1 is the first term

d is the common difference

n is the number of terms

we have

a_1=5\\a_2=3

Remember that

In an Arithmetic Sequence the difference between one term and the next is a constant, and this constant is called the common difference.

To find out the common difference subtract the first term from the second term

d=a_2-a_1=3-5=-2

substitute the given values in the formula

a_n=5-2(n-1)

The domain is all integers for n\geq 1

3 0
3 years ago
The angle of depression from the hot-air
BlackZzzverrR [31]

Answer:

3497.47 feet

I think it's the answer because when you look where I've drawn...that's where the angle of depression is and 6600 is the hypotenuse, so you use the sine method where you have opposite over hypotenuse

\sin(32 = opposite \6600)

and you'll get your answer as 3497.47

3 0
2 years ago
A firm offers routine physical examinations as part of a health service program for its employees. The exams showed that 8% of t
oee [108]

Answer:

The Probability = 0.20

Step-by-step explanation:

From the question stated, the first step to take is to find probability that an employee selected at random will need either eyeglasses or major dental work

Solution

Given

Now,

The exams showed tha the number of employees needed eyeglasses = 8%

Employees that needed major dental work = 15%

Employees that needed  both eyeglasses and major dental work =3%

Thus,

The P(needed eyeglasses ) = 8% = 0.08

P(major dental work) = 15% = 0.15

P(eye glasses  and major dental work) = 3% = 0.03

The probability that an employee selected at random will need either eyeglasses or major dental work is  given as

= P(eye glasses ) + P(major dental work) - P(eyeglasses and major dental work)

= 0.08 + 0.15 - 0.03 = 0.20

Therefore the Probability = 0.20

5 0
3 years ago
To mix powdered paint, the ratio is 44 mL of water per kilogram. What is the ratio in milliliters per pound? Use 1 kg equals 2.2
KatRina [158]
Multiply 44 by 2.2 because 1 kg = 2.2 pounds. 
44 * 2.2 = 96.8

The ratio is 96.8 milliliters per pound.
Hope this helps!

4 0
4 years ago
rachel is walking around her neighborhood. if she walks 1/3 mile in 1/6 hour , how fast in rachel walking in miles per hour?
vlada-n [284]
2 miles per hour
all you have to do is multiply 1/3 by 6 since she only walks 1/3 miles in 1/6 of an hour and you want to find the miles walked in a hour<span />
4 0
3 years ago
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