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Bezzdna [24]
3 years ago
12

Solve the problem. Find the amount of money in an account after 12 years if $4700 is deposited at 5% annual interest compounded

quarterly. $8501.01 $8440.52 $8553.29 $8532.17
Mathematics
1 answer:
Dmitrij [34]3 years ago
3 0

Answer:

The correct answer is $8532.17

Step-by-step explanation:

The formula for calculating investments with compound interests is as follows:

(1+\frac{R}{t})^{tn}*P

Where:

R is the annual interest rate,

t is the number of times the investment is to be compounded in a year,

n is the number of years,

P is the principal amount invested.

Replacing in the formula with the given values you have:

(1+\frac{0.05}{4})^{4*12}*4700 = 8532.1678

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you would set up an equation like this
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this will give you how much the population is decreasing per year. Which is 456 people per year.
You then take 2015 and find the difference between that number and 2025 and do it with all of the other years too.
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The perimeter of a triangle is not greater than 12 and the lengths of sides are natural numbers.
weqwewe [10]

Answer:

3 triangles

Step-by-step explanation:

Perimeter of triangle = a + b + c

Given that :

P = 12

and a, b, c are natural numbers

Let :

Side A = a

Side B = b

Side C = 12 - (a + b)

Side A + side B > side C - - - (condition 1)

a + b > 12 - (a + b)

a + b > 12 - a - b

a + a + b + b > 12

2a + 2b > 12

2(a + b) > 12

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Side A - side B < side C

a - b < 12 - (a + b)

a - b + a + b < 12

2a < 12

a < 6

b < 6 (arbitrary point)

Going by the Constraint above :

The only three possibilities are :

(2, 5, 5)

(3, 4, 5)

(4, 4, 4)

Total number of triangle = 3

Equilateral triangle (all 3 sides equal) = (4, 4, 4) = 1

Isosceles triangle (only 2 sides equal) = (2, 5, 5) = 1

3 0
2 years ago
the weight of 100 females aged 15 to 20 years has a mean of 120 pounds and a variance of 36 pounds. how many of the students has
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4 0
3 years ago
Please help im stuck on this question​
VARVARA [1.3K]

Answer:

(12,0)

Step-by-step explanation:

slope m=

\frac{54-36}{27-22} =\frac{18}{5}

y-36=\frac{18}{5}(x-22)\\\\5y-180=18x-396\\\\y=\frac{18x}{5} -\frac{46}{5}

0=\frac{10}{5}x-\frac{46}{5}\\\\x=\frac{216}{18}   =12

hope it helps...

have a great day

7 0
2 years ago
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