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antiseptic1488 [7]
2 years ago
9

6. Interest is compounded semianually. Find the amount in the account after the given time.

Mathematics
1 answer:
patriot [66]2 years ago
5 0

The amount in the account after the given time if compounded semiannually is $1104.2

<h3>Compound interest </h3>

Interest is any amount added on a sum of money over a period of time. The formula for calculating the compound interest is:

A = P(1+r/n)^nt

Given

P = $1000

rate r = 0.05

time =3years

n = 2

Substitute

A = 1000(1 + 0.05/3)^3(2)
A= 1000(1.1042)
A = $1104.2

Hence the amount in the account after the given time if compounded semianually is $1104.2

Learn more on compound interest here: brainly.com/question/24924853

#SPJ1

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Almost there, then everything is set! Thanks guys
faust18 [17]

Answer:

x = 50°

Step-by-step explanation:

Step 1.

180° - 80° (because there are 180 degrees in a triangle) = 100°

Step 2.

100° ÷ 2 = 50° (because the two angles on the bottom are identical, as this is an isosceles triangle - which we know because the two sides on the left and right are both the same length, 7 units)

Step 3.

Answer: x = 50°

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Your friend says that the absolute value equation | 3x+8 |-9=-5 has no solution because the constant
sineoko [7]

Answer:

Incorrect

Step-by-step explanation:

We are given the equation:

\displaystyle \large{|3x+8|-9=-5}

Add both sides by 9.

\displaystyle \large{|3x+8|-9 + 9=-5 + 9} \\ \displaystyle \large{|3x+8|=4}

When we want to tell if the absolute equation has solutions or not, we have to simplify in this form first: or isolate the absolute sign.

\displaystyle \large{ |ax + b|  = c}

If c ≥ 0, the equation has solutions.

If c < 0, the equation does not have solutions.

Therefore, it does not always matter if the constant on right side is in negative because if there is a number on the left side then there is a chance that the equation has solutions.

From |3x+8| = 4 is equivalent |3x+8|-9=-5 and the right side is 4 which is positive.

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3 years ago
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Ludmilka [50]
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6 0
3 years ago
Read 2 more answers
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Artemon [7]

Answer:

? = 57

Step-by-step explanation:

Since this is a right triangle, we can use trig functions

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? = 57.42102961

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? = 57

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3 years ago
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