An employee put $10,000 in a retirement
account that offers 4% interest
compounded annually.
The employee makes no additional deposits or
withdrawals. Which amount is closest to the interest
the employee will have earned at the end of 12 years?
A) $4,520.14

B) $5,200.36
C) $6,010.32
D) $7,340.18
PLS ANSWER ASSP WILL GIVE BRAINLIEST ANSWER

Answer:

0.18

Rounded

0.2

Step-by-step explanation:

Answer:

38.7°

Step-by-step explanation:

Let the angle we're looking for be called x.

Consider ΔADF (which consists of sides AD, FD and FA, and which contains the angle x.

tan(angle)=opposite/adjacent

tan(x)=FD/FA

x=tan⁻¹(12/15)=38.6598082541°≈38.7°

Therefore, the length of the angle be [tex]x=38.65[/tex] degree.

What is the trigonometry?

Trigonometry states that the trigo mean 'triangle', and metry means métron is a branch of mathematics that studies relationships between side lengths and angles of triangles.

Here given that,

Let the length of the angle be [tex]x[/tex].

Consider Δ[tex]ADF[/tex]

which consists of sides [tex]AD, FD[/tex] and [tex]FA[/tex], and which contains the angle [tex]x[/tex].

So,

tan(x)=Perpendicular / Base

i.e.,

[tex]tan(x)=\frac{FD}{FA}\\\\tan(x)=\frac{FD}{FA}\\\\x=tan^{-1}(\frac{12}{15})\\\\x=38.65[/tex]

Hence, the length of the angle be [tex]x=38.65[/tex] degree.

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Answer:

The answer should be 63.

Step-by-step explanation:

I'm not really sure because in order to find the area of the figure, you have to find the length of one of the sides and then multiply this by itself to find the area. I wouldn't be the first person to trust so for someone else to answer.

Answer:

[tex]base = \sqrt{ {9}^{2} - {8}^{2} } = \sqrt{17} \: in\\ area = area \: of \: triangle \: + \: area \: of \: trapezium \\ area = ( \frac{1}{2} \times base \times height) + ( \frac{1}{2} \times height(a + b)) \\ area =( \frac{1}{2} \times \sqrt{17} \times 8) + ( \frac{1}{2} \times 8 \times ((7 - \sqrt{17} ) + 7) \\area = 56 \: sq \: inches[/tex]

Answer:Maria rate = 1/13 job/hr

-----

Felipe rate = 1/16 job/hr

----

Together rate = 1/x job/h

Step-by-step explanation: rate + rate = Together rate

1/13 + 1/16 = 1/x

----

16x + 13x = 13*16

------

29x = 13*16

x = 7.17 hrs = 7 hr 10 min 12 seconds (time to do the job together)

-------------

Cheers,

Rubberduck100000.

Answer:

Step-by-step explanation:

Answer:

1536 in^2

Step-by-step explanation:

This is basically asking for the surface area so knowing that is a cube all the sides are equal so one side would be 16(16) which is 256 in ^2.  The knowing that there is 6 sides you would multiply it by 6 which is 256(6)= 1536^2

Answer:

Its D

Step-by-step explanation:

Ed2021

Answer

x greater-than-or-equal-to 0

Step-by-step explanation:

yes

Answer:

i really dont know

Step-by-step explanation:

i really dont know

Answer:

27

Step-by-step explanation:

162 divide by 3 = 54 divided by 2 =27 I think this is the answer

Answer:

744 miles

Step-by-step explanation:

each hour is 31 miles

the drive is 24 hours

31*24=744

Answer:

744 miles

Step-by-step explanation:

Answer:

-1

Step-by-step explanation:

Assuming problem is: x->2 (x^3 -3x^2 +3)

Since the expression is continuous at x=2,

then the limit can be found just by evaluating the expression at x=2.

2^3-3(2)^2+3

8-3(4)+3

8-12+3

-4+3

-1

Answer:

y = -7/3 or -2.333

Step-by-step explanation:

3(y+2 / 5) = -1/5 ------- First you need to do what is outside of the paranthesis which is 3, so divide both sides by 3.

(y + 2 / 5) = -1/15 ------- Next, you multiply both sides by 5 given the denominator is 5 on the left side.

y + 2 = -1/3 -------- Now you just subtract 2 from both sides.

y = - 7 /3 ---------- Answer

Answer:

120

Step-by-step explanation:

Since you have to find volume you have to multiply all the numbers.

So, 4*5*6 = 120

Answer:

120cm2

Step-by-step explanation:

Volume= length times width times the height. So.. 6×5×4= 120cm2 (btw the 2 means squared)

Answer:

The magnitude of the complex number is 26.

Step-by-step explanation:

Magnitude of a complex number:

The magnitude of a complex number in the format of a + bi is:

[tex]\sqrt{a^2 + b^2}[/tex]

What is the magnitude of -10 + 24i?

a = -10, b = 24. So

[tex]\sqrt{(-10)^2 +(24)^2} = \sqrt{100+576} = \sqrt{676} = 26[/tex]

The magnitude of the complex number is 26.

Answer:

It should be C.

Step-by-step explanation:

I hope this helps

Answer:

9.17 feet

Step-by-step explanation:

Use the Pythogoras theorem, a^2 + b^2 = c^2

you are give c and b ( because one side is slanted, so c) so rearrange to get

c^2-b^2 = a^2

10^2 - 4^2 = 84

square root 84 to get

9.16515

170 is the answer

Given ,

520 = 0

.°.

420 = 520-100

320 = 520-200

0 = 520-520

Mark the relation

Similarly

Answer:

Yes, the limit does exist.

Step-by-step explanation:

By definition, a limit in the form:

[tex]\displaystyle \lim_{x\to a}f(x)[/tex]

Exists if and only if:

[tex]\displaystyle \lim_{x\to a^-}f(x)=\lim_{x\to a^+}f(x)[/tex]

We are given the limit:

[tex]\displaystyle \lim_{x\to 2}\frac{x^2+x-6}{x^2-4}[/tex]

So, in order to prove that this limit exists, we simply have to show that:

[tex]\displaystyle \lim_{x\to 2^-}\frac{x^2+x-6}{x^2-4}=\displaystyle \lim_{x\to 2^+}\frac{x^2+x-6}{x^2-4}[/tex]

Let's do the left-hand side first. We can factor the function:

[tex]=\displaystyle \lim_{x\to 2^-}\frac{(x+3)(x-2)}{(x+2)(x-2)}[/tex]

Simplify:

[tex]\displaystyle =\lim_{x\to 2^-}\frac{x+3}{x+2}[/tex]

By direct substitution:

[tex]\displaystyle =\frac{(2)+3}{(2)+2}=\frac{5}{4}[/tex]

Now, we can evaluate the right-hand side. Again, factor:

[tex]=\displaystyle \lim_{x\to 2^+}\frac{(x+3)(x-2)}{(x+2)(x-2)}[/tex]

Simplify:

[tex]\displaystyle =\lim_{x\to 2^+}\frac{x+3}{x+2}[/tex]

And by direct substitution:

[tex]\displaystyle =\frac{(2)+3}{(2)+2}=\frac{5}{4}[/tex]

Since both the left- and right-hand limits equal 5/4, our original limit does indeed exist.

Answer:

sorry I'm late but it's b I'm on unit test on edge

Answer: it is b

Step-by-step explanation:

Answer:

x = 16

Step-by-step explanation:

Based in the tangent-secant theorem, we have the following equation showing the relationship between the secant and the tangent:

(2 + x)*2 = 6²

4 + 2x = 36

Subtract 4 from both sides

2x = 36 - 4

2x = 32

Divide both sides

2x/2 = 32/2

x = 16

Answer:

The answer is D) Y = 3/4x-2

Step by step explanation:

3x - 4y = 8

Express it in the term of y.

Subtract 3x from both sides:

3x - 4y - 3x  = 8 - 3x

- 4y = 8 - 3x

Divide both sides by -4

-4y/-4 = (8 - 3x)-4

y = 8/-4 - 3x/-4

y = -2 - (-3/4x)

y = -2 + 3/4x

y = 3/4x - 2

Answer:

x > 29

Step-by-step explanation:

Answer:

[tex]x > 29[/tex]

Step-by-step explanation:

Given: −x<−29

To find: Simplified

Solution: Simplification of an algebraic expression can be defined as the process of writing an expression in the most efficient and compact form without affecting the value of the original expression.

The process entails collecting like terms, which implies adding or subtracting terms in an expression.

Multiply both sides by -1 (reverse the inequality)

[tex](-x) (-1) > (-29) (-1)[/tex]

Simplify

[tex]x > 29[/tex]

Answer:

20 schools is your answer

Have a good day

Answer:

20 is ur answer!

Step-by-step explanation:

I took the test and got it right, also credit goes to the other guy! Have a good day/night! <3

Answer:

300ft^2

Step-by-step explanation:

pi*r^2

pi*10^2

pi*100

3*100

300

Answer:

Step-by-step explanation:

3*[tex]5^{2}[/tex] = 75

Answer:

g

Step-by-step explanation:

Answer:

the answer is A.

Step-by-step explanation:

Answer:

Step-by-step explanation:

i) (64+39+18)/(175)=0.691

ii) 64/(64+17)=0.79

iii) 18/(18+15)=0.55

(1) The proportion of branches that are profitable 121/175.

2) Proportion of branches from an urban location that is profitable 64/175.

3) The proportion of branches from a rural location is profitable 33/175.

It is given that:

From the sample of 175 branches,

                Profitable Not Profitable

Urban                64                17

Suburban          39               22

Rural                  18                15

Total number of samples = 175

Proportion is a part, share, or number considered in comparative relation to a whole.

(1) The proportion of branches that are profitable:

= (64+39+18)/175

=121/175

2) Proportion of branches from an urban location that is profitable:

=64/175

3) The proportion of branches from a rural location is profitable:

=(18+15)/175 = 33/175

Therefore, (1) The proportion of branches that are profitable 121/175.

2) Proportion of branches from an urban location that is profitable 64/175.

3) The proportion of branches from a rural location is profitable 33/175.

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