stephanie invests $3,991 in a retirement account with a fixed annual interest rate of 6% compound continuously. What will the account balance be after 13 years?

Answer:

Ships A and B are 1,425 feet apart and detect a submarine below them. The angle of depression from ship A to the submarine is 59°, and the angle of depression from ship B to the submarine is 47°.

How far away is the submarine from the two ships? Round to the nearest hundredth of a foot.

The distance from ship A to the submarine is about

feet.

The distance from ship B to the submarine is about

feet.

Step-by-step explanation: answer this and ill answer yours.

Answer:

112 is the answer

Step-by-step explanation:

to find the value of x, you need to add both the numbers 34 and 78 to find x.

Answer:

x=112

Step-by-step explanation:

x=78+34

(here the 34 passes to the other side, and because it is substracing, you pass it adding)

x=112

Answer:

(-3)^4

Step-by-step explanation: We just have to evaluate

So, the only expression that exceeds 4^3 is (-3)^4:

Answer:

Step-by-step explanation:

these expressions are equivalent

4(2x+4)= 8x+16 after multiplying 4 with 2x+4

Answer:

yes

Step-by-step explanation:

Yes. If I substitute a number for x, the result is the same.

Answer:e

Step-by-step explanation:

Answer:

x=144

Step-by-step explanation:

Answer:

A) [tex]y=-\frac{1}{20}x+20[/tex]

B) 14 gallons of gasoline

A linear function that relates the amount of gasoline to the traveling distance is : y = - (1/20)x + 20 and the gallons of gasoline left after you drive 120 miles will be 10 gallons.

Given is a table shows the amount of gasoline [g] (in gallons) left in your tank after you travel [m] miles.

The given table is -

Miles [m]    Gallons [g]

  0                 20

 20                19

 40                18

 60                17

We can write the linear function as -

y = mx + c

We can write the slope as -

m = {(19 - 20)/(20 - 0)}

m = (- 1/20)

At [x] = 0, then [y] = 20. So, the equation will be -

y = (-1/20)x + 20

y = - (1/20)x + 20

At [x] = 120 miles -

y(120) = (-1/20 x 200) + 20

y(120) = - 10 + 20

y(120) = 10 gallons

Therefore, a linear function that relates the amount of gasoline to the traveling distance is - y = - (1/20)x + 20 and the gallons of gasoline left after you drive 120 miles will be 10 gallons.

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Angle A (6x +11)  = 53

12x - 7 = 77

Answer:

For x=2, the expression 4(5x-8) will be 4 more than the expression 2(4-x)

Step-by-step explanation:

Given expressions are;

4(5x-8) and 2(4-x)

For 4 more than the second expression, we will add 4 with second expression.

4(5x-8) = 2(4-x) + 4

20x - 32 = 8 -2x +4

20x + 2x = 12 + 32

22x = 44

Dividing both sides by 22

[tex]\frac{22x}{22}=\frac{44}{22}\\x=2[/tex]

Hence,

For x=2, the expression 4(5x-8) will be 4 more than the expression 2(4-x)

Answer:

P (34<X<39) = 0.5899

Step-by-step explanation:

When the distribution is normal, we use the z-score formula.

In a set with mean [tex]\mu[/tex] and standard deviation [tex]\sigma[/tex], the zscore of a measure X is given by:

[tex]Z = \frac{X - \mu}{\sigma}[/tex]

The Z-score measures how many standard deviations the measure is from the mean. After finding the Z-score, we look at the z-score table and find the p-value associated with this z-score. This p-value is the probability that the value of the measure is smaller than X, that is, the percentile of X. Subtracting 1 by the pvalue, we get the probability that the value of the measure is greater than X.

In this question, we have that:

[tex]\mu = 37, \sigma = 3[/tex]

What is the probability that a cat would return to it's dish between 34 and 39 times a day.

This is the pvalue of Z when X = 39 subtracted by the pvalue of Z when X = 34. So

X = 39

[tex]Z = \frac{X - \mu}{\sigma}[/tex]

[tex]Z = \frac{39 - 37}{3}[/tex]

[tex]Z = 0.67[/tex]

[tex]Z = 0.67[/tex] has a pvalue of 0.7486

X = 34

[tex]Z = \frac{X - \mu}{\sigma}[/tex]

[tex]Z = \frac{34 - 37}{3}[/tex]

[tex]Z = -1[/tex]

[tex]Z = -1[/tex] has a pvalue of 0.1587

0.7486 - 0.1587 = 0.5899

So

P (34<X<39) = 0.5899

Answer:

x + 5y ≤ 30

Step-by-step explanation:

Answer:

The Rectangular Table Has The largest area of 1460 in^2

Answer:

[tex] - 6 \sqrt{2} [/tex]

Step-by-step explanation:

simplify

[tex] \sqrt{28800} [/tex]

to

[tex]120 \sqrt{2} [/tex]

then

-0.05 × 120 = -6

then we have our answer

-6√2

Answer: Looks Proportional

Answer:

The first one is proportional but the second one is not proportional

Step-by-step explanation:

Hope this helps!

Answer:

[tex]p=1/2\ or\ 0.5\ inches[/tex]

Step-by-step explanation:

From the question we are told that

Equation of cross section is [tex]y+5= \frac{1}{2x^2}[/tex]

Generally the equation can be rewritten mathematically as

  [tex]y+5= \frac{1}{2}x^2[/tex]

  [tex]x^2=(y+5)2[/tex]

  [tex](x-0)^2=(y-(-5))2[/tex]

Generally the equation of a parabola with vertical axis is mathematically given by

[tex](x - h)2 = 4p(y - k)[/tex]

Therefore  comparing equations

[tex](x-0)^2=(y-(-5))2[/tex]

[tex]4p=2[/tex]

[tex]p=2/4[/tex]

The distance from the bulb to the vertex of the cross section is given by

[tex]p=1/2\ or\ 0.5\ inches[/tex]

Answer:

do u need to show your work or u just need the answerz

Step-by-step explanation:

Answer:

thanks

Step-by-step explanation:

your welcome

Answer:

261763

Step-by-step explanation:

599*437

=261763

Answer:

Y = 0  , X = - 3/2

Step-by-step explanation:

Answer:

just give the brainliest to him

Step-by-step explanation:

Answer:

5

Step-by-step explanation:

estimated would be 8 - 3

To solve the problem we must know about fractions.

A fraction is a way to describe a part of a whole. such as the fraction  [tex]\frac{1}{4}[/tex] can be described as 0.25

A mixed fraction is a fraction that contains a whole number and a fraction whose denominator is greater than the numerator.

The solution to this problem is [tex]5\dfrac{13}{40}[/tex].

Given to us

[tex]8\frac{1}{5}-2\frac{7}{8}[/tex]

Converting the mixed fractions to fraction

[tex]8\dfrac{1}{5}-2\dfrac{7}{8}\\\\=\dfrac{(8 \times 5)+1}{5}-\dfrac{(8\times 2)+7}{8}\\\\=\dfrac{41}{5}-\dfrac{23}{8}\\\\[/tex]

Taking LCM,

[tex]=\dfrac{41\times 8}{5\times 8}-\dfrac{23\times 5}{8\times 5}\\\\=\dfrac{328}{40}-\dfrac{115}{40}\\\\=\dfrac{328-115}{40}\\\\=\dfrac{213}{40}[/tex]

Converting to Mixed Fractions,

[tex]=5\dfrac{13}{40}[/tex]

Hence, the solution to this problem is [tex]5\dfrac{13}{40}[/tex].

Learn more about Fraction:

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Answer:

Greatest Common Factor of 40+24 is 8

Rewriting the expression using the distributive property we get             8(5+3) =8(5)+8(3)

Step-by-step explanation:

We need to F=find the greatest common factor of the two numbers 40+24 and rewrite the expression using the distributive property

The greatest number that is divisible by both numbers is known as greatest common factor.

So, Greatest Common Factor of 40+24 is 8

Now, Taking 8 common we get: 8(5+3)

It is written as: a(b+c) = ab+ac

So, we have 8(5+3) =8(5)+8(3)

Rewriting the expression using the distributive property we get 8(5+3) =8(5)+8(3)

Answer:

gfdsgfds

Step-by-step explanation:

fdgdsf

Answer:

y=3/2x

Step-by-step explanation:

Slope is 3/2 and starts at the origin.

Answer:

About 8 years

Step-by-step explanation:

3% of $800 is $24

$24 x 8 is $192 add that to the $800 and you get $992

Answer:

I think its B

Step-by-step explanation:

Answer:

The slope is -4

Step-by-step explanation:

Answer: -4

-4 is the slope because in the equation y=mx+b, m represents the slope.

hope this helps :)

hope this helps. let me know if you can see what i have attached.

The box- plot is attached below.

Data points are represented as dots on a graph with an x- axis and y-axis in a dot plot, sometimes referred to as a strip plot or dot chart, which is a straightforward type of data visualisation. These kinds of graphs are employed to visually represent particular data trends or groupings.

Given:

1 2 2 3 3 4 4 4 4 5 5

5 5 6 6 6 6 7 7 8 8 8

Now, 1 Appears 1 time

2 Appears 2 time

3 Appears 2 time

4 Appears 4 time

5 Appears 4 time

6 Appears 4 time

7 Appears 2 time

8 Appears 3 time

Learn more about dot- plot here:

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Answer:

y=C-5x^2

Step-by-step explanation:

Answer:

9x

9 is the coefficient

Step-by-step explanation:

5x + 4x

These are like terms (they both have the same variable (x))

5x + 4x = 9x

The coefficient is 9, since it's the number in front of a variable.

Hope this helped!