You have 500 to invest at 3% continuously compounded. How much do you have in five years

Answer:

Step-by-step explanation:

Use SOH CAH TOA to recall how the trig functions fit on a triangle

SOH: Sin(Ф)= Opp / Hyp

CAH: Cos(Ф)= Adj / Hyp

TOA: Tan(Ф) = Opp / Adj

the side "?" is the Adjacent side (Adj)  and we are given the angle and the Hypontenuse ( long side) (Hyp)  of this triangle

so use CAH

cos(75) =  Adj / 8

algebra to solve for the Adj side (which is the "?" for this problem )

8*cos(75) = Adj

2.07055 = Adj

so the "?" is  2.1 ft ( rounded to the nearest 10th )

Ans: 10+7n

Step-by-step explanation: there you go

Answer:

d=7; equation=17+(n-1)7

Step-by-step explanation:

I dont know what your question is but it goes up by 7

Answer:

When an expression can be viewed as the difference of two perfect squares, i.e. a²-b², then we can factor it as (a+b)(a-b). For example, x²-25 can be factored as (x+5)(x-5). This method is based on the pattern (a+b)(a-b)=a²-b², which can be verified by expanding the parentheses in (a+b)(a-b).

Answer:

63in

Step-by-step explanation:

Answer:

Step-by-step explanation:

The answer is 1 and 3

Answer:

The area of the shade is 12 feet

Step-by-step explanation:

To find the area you would do 6 * 4 which equals 24 but with every triangle you have to cut the area in half so the actual answer would be 12 feet

Answer:

[tex] \sqrt{25 \times 9} [/tex]

[tex] \sqrt{5² \times 3²} [/tex]

±(5*3)

±15 is a required answer.

Answer:

B. 7 hours

Step-by-step explanation:

The formula for time (in this scenario) is t = d/s.

t - time

d - distance

s - speed

For this problem, d - 385 mi and s - 55 mph. To find the time this trip took, you would solve 385/55=7. In the end, Kelly drove for 7 hrs. Hope this helps!!

Answer:

side 1=5x^2+103x+40

side2=5x^3-43+100

side 3=A {let}

we have

perimeter of triangle=side 1+ side2 +side3

5x^4+5x^3+5x^2+50x+100=5x^2+103x+40+5x^3-

43+100+A

A=5x⁴+5x³+5x²+50x+100-5x³-5x²-103x-97

A=5x⁴-53x+3 is your answer

Step-by-step explanation:

Simplify the matrix.

f

2

x

2

−

2

f

g

x

2

+

g

2

x

2

,

f

(

x

)

=

2

√

x

f

x

=

4

x

,

g

x

=

4

√

x

g

x

=

16

x

Answer:

y = 5

Step-by-step explanation:

cross-multiply:

6y = 30

y = 5

Answer:

16.6

Step-by-step explanation:

somtimes you gotta pay attention to you're math teacher

Answer:

Each student will raise $60.32

Step-by-step explanation:

682.56-200.000 = 482.56

482.56/8 = $60.32

Answer:

2/13

Step-by-step explanation:

Answer:

2/13

Step-by-step explanation:

Answer:

1.575 × 10^6 gallons

Step-by-step explanation:

1.25 × 10^6 = 1.25 × 1,000,000 = 1,250,000 gals.

Dolphin tank = 325,000 gals.

total vol. = 1,250,000 + 325,000 = 1,575,000 gals.

scientific notation = 1.575 × 10^6 gallons

Answer:

Hello! answer: coordinates of E' are (16, 4)

Step-by-step explanation:

4 × 4 = 16 4 × 1 = 4 therefore the new coordinates are (16, 4)

The coordinate of E after dilation is (16, 4).

It is a two dimensional figure which has three sides and the sum of the three angles is equal to 180 degrees.

We have,

Triangle DEF has coordinates:

D = (3, 4)

E (4, 1)

F = (1, -2)

The coordinates are dilated with a scale factor of 4.

This means,

Multiply all the coordinates by 4.

Now,

D = (3 x 4, 4 x 4) = (12, 16)

E (4 x 4, 1 x 4) = (16, 4)

F = (1 x 4, -2 x 4) = (4 , -8)

Thus,

The coordinate of E is (16, 4).

Learn more about triangles here:

https://brainly.com/question/25950519

#SPJ2

Answer:

1) 5 : 7 : 8.75

2) Happy = 168 .    Juma = 210

3) Rima = 17800 .     Happy = 24920 .    Juma = 31150

Step-by-step explanation:

1) 5 : 7 : 8.75

Ratio Rima to Happy = 5:7

Ratio Happy to Juma = 4:5

7/4 = 1.75

1.75 x 5 = 8.75

Ratio = 5 : 7 : 8.75

2) Happy = 168 .     Juma = 210

Ratio = 5 : 7 : 8.5

120 / 5 = 24

Happy = 24 x 7 = 168

Juma = 24 x 8.75 = 210

3)17800 : 24920 : 31150

5 + 7 + 8.75 = 20.75

73870 / 20.75 = 3560

3560 * 5 = 17800 = Rima

3560 * 7 = 24920 = Happy

3560 * 8.75 = 31150 = Juma

If my answer is incorrect, pls correct me!

If you like my answer and explanation, mark me as brainliest!

-Chetan K

Answer:

Step-by-step explanation:

the balloon starts at  (10, 0 )

it ends at  16,0)

in the middle it's at between 10 and 16 , so say about 13, where it reaches 27

so in the middle it's (13,27)

so  ( 11, 9)

(12, 18)

got 13

(14, 18)

(15, 9)

got 16

:P

Answer:

[tex]x=\frac{e^{2.5}-3}{5}[/tex]

Step-by-step explanation:

Let y = 5x + 3
Then we get
㏑(y) = 2.5

Using exponentiation,

[tex]e^{lny} = e^{2.5}\\\textrm{But }e^{lny} \textrm{ is simply y (log rule)}\\\textrm{So we get}\\y = e^{2.5}\\\\\\\textrm{Substituting for y we get}\\\\5x + 3 = e^{2.5}\\x = (e^{2.5} - 3)/5\\[/tex]

This works out to x = 1.83649879

Answer:

$647.25

Step-by-step explanation:

Twenty-five percent off the regular $800 price comes to 0.75($800), or $600 (after the discount).

Calculating the 7.875% sales tax and adding it in, we find that the final price to be paid is (1 + .07875)($600), or $647.25.

Answer:

the far left one

Step-by-step explanation:

Answer:

no

Step-by-step explanation:

Answer:

45%

Step-by-step explanation:

Step-by-step explanation:

It's asking you what the probablitiy of a red car is.

Since this looks like a test/homework, I'll give some hints.

Let's say that SUV's and car's are x.

Out of x, 60 percent is cars.

Let's call the amount of cars we have y.

Out of y amount car's, 15 percent is red.

It's asking that if you randomely chose a car, what the probability would be if you got a non-red car.

Of course, this problem only needs one variable, but for the sake of simplicity, I added 2.

Hope this helps!

Answer:

0.79

Step-by-step explanation:

add up the probability that is less than or equal to  0, which is 0.17+0.13+0.33+0.16 = 0.79

The probability [tex]$x \leq0$[/tex]. is 0.79.

What is probability distribution?

A probability distribution exists a statistical function that defines all the possible values and likelihoods that a random variable can consider within a provided range.

The probability distribution is given in the table.

Probability that [tex]$x \leq0[/tex]

The values that are 0 or lower are -3, -2 and -5. So

[tex]$P(X \leq0)=P(X=-3)+P(X=-2)$$[/tex]

From the table:

[tex]$&P(X=-3)=0.13, P(X=-5)=0.17, P(X=-2)=0.33[/tex] and [tex]P(X=0)=0.16[/tex]  

So, [tex]$&P(X \leq-3)=P(X=0)+ P(X=-3)+P(X=-5)+P(X=-2)[/tex]

= 0.16 + 0.13 + 0.17 + 0.33

= 0.79

0.79 probability that [tex]$x \leq0$[/tex].

To learn more about probability distribution

https://brainly.com/question/24140594

#SPJ2

Answer:

The coins probability is 1/2 while the dice probability is 1/6

Step-by-step explanation:

The coin only has 2 sides so you split it into halves

The dice has 6 sides so you split it into sixths

Answer:

x = 3.2

Step-by-step explanation:

Apply pythagorean theorem, c² = a² + b²

Where,

c is the hypotenuse/longest side = √(10² - 9²) ≈ 4.4

a = x

b = 3

Substitute

4.4² = x² + 3²

19.36 = x² + 9

x² = 19.36 - 9

x² = 10.36

x = √10.36

x = 3.2 (nearest tenth)