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andrezito [222]
4 years ago
7

At 1600 principal earns 7% interest compound semiannually twice per year after 33 years what is the balance in the account

Mathematics
1 answer:
NARA [144]4 years ago
4 0
A $1,600.00 principle earns 7% interest, compounded semiannually twice per year. After 33 years, what is the balance in the account. My answer is $112,992.00

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Find the lengths of the missing sides in the triangle. Write your answers as integers or as decimals rounded to the nearest tent
nalin [4]

Answer:

The last one (x=11.3, y=8).

Step-by-step explanation:

1) There are three trigonometric ratios for right-angled triangles.

sin()=\frac{opposite}{hypotenuse}\\cos()=\frac{adjacent}{hypotenuse}\\tan()=\frac{opposite}{adjacent}

In a right triangle, the hypotenuse, h, is the side opposite the right angle. Relative to the acute angle θ, check the attachment, the legs are called the opposite side, o, and the adjacent side a.

2) In this case, we are given a length and an angle to find x and y.

Let's find x first. To find x we need to use sin()=\frac{opposite}{hypotenuse}.

sin(45)=\frac{8}{x}\\sin(45)x=8\\x=\frac{8}{sin(45)} \\x=11.31

Find y.

Notice that, we can use the Pythagorean Theorem (c^2=a^2+b^2) to find y.

c^2=a^2+b^2

11.31^2=8^2+b^2\\11.31^2 - 8^2 = b^2\\63.9161 = b^2\\\sqrt{63.9161} = b\\b = 7.99

3) Round them off to the nearest tenth.

x=11.31\\x=11.3

y=7.99\\y=8

Therefore, the correct choice is the last one (x=11.3, y=8).

4 0
3 years ago
Sam made 14 out of 20 free throws in the basketball game. What is his percentage
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Answer:

70%

Step-by-step explanation:

14 out of 20 is 14/20=7/10

7/10 is 70%

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Answer: Similar like terms of 6p²q is :

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HOPE IT HELPS YOU

HAVE A GOOD DAY ❤️☺️

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3 years ago
The expression 3C, represents the number of ways of:
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Answer:

od

Step-by-step explanation:

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4 years ago
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