Nathan is going to invest in an account paying an interest rate of 4.9% compounded continuously. How much would Nathan need to invest, to the nearest ten dollars, for the value of the account to reach $34,000 in 9 years?

The formula is:

V= (3.14)π⋅ (radius)r^2⋅(height)h/3

(^2 is a exponent)

How to solve:

π ·2^2· 9/3= 37.69911

(Round to the nearest tenth)

Answer:Answer:

Answer:[tex] \huge\mathfrak\pink{S} \huge\mathfrak\purple{o} \huge\mathfrak\blue{l} \huge\mathfrak\red{u} \huge\mathfrak\green{t} \huge\mathfrak\pink{i}\huge\mathfrak\purple{o}\huge\mathfrak\red{n}\huge\mathfrak\orange{➔}\ [/tex]by using Pythagoras law:h²=p²+b²

10²=x²+8²

x=√36=6 units.

9514 1404 393

Answer:

  12 minutes

Step-by-step explanation:

The volume of the aquarium is ...

  V = LWH

  V = (25 in)(19 in)(12 in) = 5700 in³

The time required to empty it is given by ...

  time = quantity/rate

  time = (5700 in³)/(475 in³/min) = 12 min

It takes 12 minutes to empty the aquarium.

Answer:

90

Step-by-step explanation:

the angles that are on the opposite side are same

LEARNED THIS IN FOURTH GRADE

I'm still in  fourth grade

my math teacher taught us this separately.

I go to School for the Highly Gifted in Grand Prairie, Texas

Answer:

21

Step-by-step explanation:

so the relationship is that the music is ten times the commercials so, divide 210 by 30 and times that number by 3 210/30= 7, 7'3=21

Answer:

21 minutes of commercials

Step-by-step explanation:

If Hits 96 must play 3 minutes of commercials for every 30 minutes of music played, than the ratio of minutes of commercials to minutes of music is 3:30=1:10.

If 210 minutes of music is played, we can model the situation with the equation [tex]\frac{1}{10} =\frac{x}{210}[/tex]

We can use cross multiply to simplify the equation to [tex]10x=210[/tex]

Dividing each side by 10, we get [tex]x=21[/tex]

So, if 210 minutes of music is played, 21 minutes of commercials is played.

Answer:

c = 2.2m is the answer.

Step-by-step explanation:

a = 1m

b = 2m

c = ?

According to the Pythagorean theorem,

a² + b² = c²

1² + 2² = c²

1 + 4 = c²

c² = 5

c = 2.2m

∴ the slide is 2.2m long.

Answer:

3

Step-by-step explanation:

Answer:

[tex] \frac {1}{3}x - 5 [/tex]

Step-by-step explanation:

Let the unknown number be x.

Translating the word problem into an algebraic expression, we have;

[tex] \frac {1}{3}x - 5 [/tex]

Or

[tex] \frac {x}{3} - 5 [/tex]

Simplifying further, we have;

[tex] \frac {x}{3} = 5 [/tex]

Cross-multiplying, we have;

x = 15

Therefore, the above algebraic expression is five less a third of a number.

Answer:

The gas cost for the Camry will be $ 150.

Step-by-step explanation:

Since in planning a Thanksgiving vacation, you want to rent a car for a week and travel the Pacific Highway from San Francisco to San Diego, and you want to return to San Francisco via Las Vegas, Death Valley, and Yosemite National Park, and this trip covers approximately 1,500 miles, and you plan to return the car with a full tank of gasoline and are considering two options advertised by Hertz:

Toyota Camry, 40 mpg highway, costs $ 448.27 plus taxes and fees, totaling $ 533.65.

Toyota Prius Hybrid, 49 mpg highway, costs $ 610.58 plus taxes and fees, totaling $ 772.88.

In both cases, you must purchase gasoline, which costs $ 4.00 per gallon in California.

To determine the total cost of gasoline for the Camry, the following calculation must be performed:

(1,500 / 40) x 4 = X

37.5 x 4 = X

150 = X

Therefore, the gas cost for the Camry will be $ 150.

Answer:

D. More than 25% of the students chose football and tennis as their favorite sport to play

Step-by-step explanation:

From the dot plot :

Sport __Number of students

Hockey = 4

Track = 2

Tennis = 3

Basketball = 12

Soccer = 6

Football = 10

Golf = 5

Baseball = 8

Total = (4+2+3+12+6+10+5+8) = 50

Students of basketball, golf and track = (12 + 5 + 2) = 19 ; 19 /50 =

Percentage that chose base ball = 8 /50 *100 = 16%

(soccer + hockey) = (6+4) = 10/50 = 1/5

Football + tennis = (10 + 3) = 13

13/50 = 0.26 * 100% = 26% (True)

Answer:

B. y+ 4 = 3/4 (x-6)

Step-by-step explanation:

Given:

m = 3/4

Slope-intercept:

y - y1 = m(x - x1)

y + 4 = 3/4(x - 6)

Answer:

It's option C

Step-by-step explanation:

C. You pick two numbered billiard balls from a bag of balls one after the other without replacement.

11:59 AM is midday not midnight

Answer:

314 cm^2

Step-by-step explanation:

(=^w^=)

A= 2*pi*r*h

A=2*pi*5*10

A=314.16 cm^2

Step-by-step explanation:

2×5×10=

10×10= 100 cm²

=100 cm²

Answer: B) Negative

Step-by-step explanation:

Answer:

B) Negative

Step-by-step explanation:

The question states that as the number of people increases, the price of each seat decreases. Therefore this is a negative trend, because the increase in one variable leads to the decrease in the other variable.

Hope this helped!

Answer:

140 lunch items

Step-by-step explanation:

The unit ratio is 5:2

So if we take that and multiply it by 20 we get 100:40. 100+40 is 140

Answer:

140

Step-by-step explanation:

well if there is 25 hamburgers to 10 hot dogs, than 25 times four is 100 and 10 times four is 40 so 140 but i dont know if i did it right

Answer:

C) f(x) x g(x) = 6x2 + x-1

Step-by-step explanation:

Multiplication of functions:

Two multiply two polynomial functions, we apply the distributive property(multiply each two terms and add).

In this question, we have that:

[tex]f(x) = 3x - 1, g(x) = 2x + 1[/tex]

The multiplication is:

[tex]f(x) \times g(x) = (3x - 1)(2x+1) = 3x*2x + 3x*1 -1*2x -1*1 = 6x^2 + 3x - 2x - 1 = 6x^2 + x - 1[/tex]

The correct answer is given by option C.

f ( x ) = 1 / x - 2

g ( x ) = 4 / x

_________________________________

( f o g )( x ) = f ( g(x) )

f ( g(x) ) = 1 / g(x) - 2

f ( g(x) ) = 1 / ( 4 / x ) - 2

f ( g(x) ) = x / 4 - 2x

Answer: false, true, true, and i don’t know the last one

Step-by-step explanation:

56565556666665565/5455455/-45444×44555544×+45567777

4549

Answer:

The answer is 6 seals plz mark as brainiest to show your appreciation

Step-by-step explanation:

Answer:

33.3 ft

Step-by-step explanation:

Draw a picture, you should see that a right triangle is formed from the flag and shadow. Apply pythagorean theorem. See attached image for work out.

Answer:

4.32m²

Step-by-step explanation:

Width · Length

3.6 · 1.2 = 4.32

Answer:4.32 m

Step-by-step explanation:When trying to find the area of something with length and width you multiply them both to find your answer. (1.2 x 3.6=4.32) or you can always multiply 12 times 36 and move the decimal to where it belongs.

Answer:

no, b does not equal 5 in that equation

Step-by-step explanation:

if you solve for x, this is how it would look:

65/b + 8 x 4 = 20

65/b + 32 = 20

65/b = 20 - 32

65/b = -12

65 = -12b

-12b = 65

b = -65/12 (or -5 5/12)

Answer:

A person jumping on a trampoline

Answer:

67,600

Step-by-step explanation:

Answer:

D)  (-8, 3)

Step-by-step explanation:

90° counterclockwise brings point to (-4, 3)

translation 4 units to left brings point to (-8, 3)

Answer:

Can you actually do your own work

Step-by-step explanation:

Do it yourself

Answer:

erm i think 5

Step-by-step explanation: