Aaron invested $7,500 in an account paying an interest rate of 1.5% compounded continuously. Assuming no deposits or withdrawals are made, how much money, to the nearest hundred dollars, would be in the account after 8 years?

Answer:

7

Step-by-step explanation:

y=mx+c put the value of

x=2,y=3 and m=5 and solve this and you will get the answer of c=7

Answer:

(one thing to notice, the units of the 16 in the height equation should be ft/s^2, because this is an acceleration)

We know that:

v is the initial vertical velocity, and we know that it is 10ft/s

then:

v = 10ft/s.

s is the initial position, and we know that he starts on a platform 25ft above the pool, then if we define the pool as the 0 in the vertical axis, we have:

s = 25ft

Now we can write the height as:

h(t) = (-16ft/s^2)*t^2 + (10ft/s)*t + 25ft.

Now with this equation, we can find the time it takes for the diver to hit the pool.

Remember that we defined the pool as the 0 in the vertical axis, then when h(t) = 0ft the diver will enter in the pool.

With that, we can find the value of t = time, that it takes for the diver to enter the pool.

h(t) = 0 ft = (-16ft/s^2)*t^2 + (10ft/s)*t + 25ft.

Now we can solve this with the Bhaskara equation:

[tex]t = \frac{-10m/s +. \sqrt{(10m/s)^2 - 4*(25ft)*(-16ft/s^2)} }{-16ft/s^2*2} = \frac{-10ft/s +- 41.23ft/s}{-32ft/s^2}[/tex]

We will have two solutions:

t = ((-10 + 41.23)/-32) s = -0.96s

t = (-10 - 41.23)/-32) s = 1.6 s

The negative has no physical sense, so we can discard that option.

This means that the only correct option is 1.6 seconds, then the time that it takes for the diver to enter the pool after he jumps is 1.6 seconds.

Answer:

x = 9

Step-by-step explanation:

Step 1: Simplify both sides of the equation.

44 = 2(3x − 5)

44 = (2)(3x) + (2)(−5) (Distribute)

44 = 6x + −10

44 = 6x − 10

Step 2: Flip the equation.

6x − 10 = 44

Step 3: Add 10 to both sides.

6x − 10 + 10 = 44 + 10

6x = 54

Step 4: Divide both sides by 6.

[tex]\frac{6x}{6} = \frac{54}{6}[/tex]

x = 9

Hope it helps!!

Answer: 5/78

Step-by-step explanation: u simplify

Answer:

5/78

Step-by-step explanation:

Divide both parts by 10.

Hope I helped :)

Answer:

63 flowers

Step-by-step explanation:

all you have to do is multiply 7 and 9

9514 1404 393

Answer:

  A. 15

  B. -3

  C. x

Step-by-step explanation:

C. Since we want different values of g(f(x)), it is convenient to find that first.

  g(f(x)) = g(2x +9) = ((2x +9) -9)/2 = 2x/2

  g(f(x)) = x

__

A. g(f(15)) = 15

__

B. g(f(-3)) = -3

Answer: Answer: I’m not big brain

Step-by-step explanation:

Step-by-step explanation:

Answer:

3

Hope this helps

Answer:

3

Step-by-step explanation:

each friend would have 3 pizzas

Answer:

y=-2x+3

Step-by-step explanation:

see the attached above.

I really sorry if you can't read me what I have done.

Best of luck :-)

Answer:

I think the answer is B 28 sorry if I am wrong

Answer:

x=37

Step-by-step explanation:

Answer:

C

Step-by-step explanation:

A & B & D are true

It simply makes it bigger/smaller with keeping the same angle measurements.

Answer:

15:20

Step-by-step explanation: Well we know that we have 20 hearts and 15 flowers. In the question, it mentions flowers first so we put the flowers first in the ratio. flowers:hearts or 15:20

15 : 20 hope it helped:)

Answer:

town b

Step-by-step explanation:

-3.33 degrees is smaller than 2/5 of 1.00 because 2/5 is 0.4 so -3.4 degrees is colder than -3.33.

Answer:

Step-by-step explanation:

m : n = 2 :1

A(1 , 3 )    ;  x₁  = 1 & y₁ = 3

 B(7, 8)     ; x₂ = 7  & y₂ = 8

Required Point = [tex](\frac{mx_{2}+nx_{1}}{m+n},\frac{my_{2}+ny_{1}}{m+n})[/tex]

                        [tex]=(\frac{2*7+1*1}{2+1},\frac{2*8+1*3}{2+1})\\\\=(\frac{14+1}{3},\frac{16+3}{3})\\\\\\=(\frac{15}{3},\frac{19}{3})\\=(5,6.3)[/tex]

- 57m + 9

Hi there !

−7(9m − 2) + (−5 + 6m) =

= -7×9m - 7×(-2) - 5 + 6m

= - 63m + 14 - 5 + 6m

= - 57m + 9

Good luck !

Answer:  1. yes  2.  yes  3. no

if x or y has more than one ex: xx

it is not linear

Answer:

Gold square = 4

Blue triangle = 3

Step-by-step explanation:

Red hexagon = 6, and there are 4 red hexagons.  So the total is 24.

Therefore, the total on the other side must also be 24.

That means the 4 blue triangles add up to 12, and the 3 gold squares add up to 12.

So each blue triangle is 3, and each gold square is 4.

Answer:

121

Step-by-step explanation:

74+47=121

180-121=59

59+x=180

x=121

Answer:

$10.56

Step-by-step explanation:

First, converting R percent to r a decimal

r = R/100 = 0.6%/100 = 0.006 per year,

then, solving our equation

I = 440 × 0.006 × 4 = 10.56

I = $ 10.56

The simple interest accumulated

on a principal of $ 440.00

at a rate of 0.6% per year

for 4 years is $ 10.56.

Answer:

450.56

Step-by-step

440 x 0.006 x 4 + 440 =450.56

♥️♥️♥️♥️♥️♥️♥️♥️♥️♥️♥️♥️♥️♥️

[tex]f(x) = - 5x + 2[/tex]

[tex]g(x) = x + 4[/tex]

♥️♥️♥️♥️♥️♥️♥️♥️♥️♥️♥️♥️♥️♥️

[tex](f \times g)(x) = f(x) \times g(x)[/tex]

[tex](f.g)(x) = ( - 5x + 2)(x + 4)[/tex]

[tex](f.g)(x) = - 5 {x}^{2} - 20x + 2x + 8 \\ [/tex]

[tex](f.g)(x) = - 5 {x}^{2} - 18x + 8 [/tex]

Done...

♥️♥️♥️♥️♥️♥️♥️♥️♥️♥️♥️♥️♥️♥️

Answer:

Answer:

x= amount of subscriptions

y= total amount

m= $5 rate of change

b= $15 a starting point....

Eq: y=5x+15

Answer:

53lbs.

Step-by-step explanation:

If Kevin bought 3 20lbs. Bags of gravel he would have 60 lbs. of gravel. In the end he has 7 lbs. of gravel left he used 53 pounds.

Equations:

7+x=60 or 60-7=53 lbs.

Answer:

3 pounds of gravel

Step-by-step explanation:

If you look at the chart, each bag of gravel is 20 lbs. If he bought 4 then that is 20 x 4. That equals 80. If he only used 77 pounds of it, then you get 80-77. That equals 3

Answer:

E and D

Step-by-step explanation:

Answer: 81 miles

Step-by-step explanation:

From the question, we are informed that the distance between two towns is 130 kilometers and that there are approximately 8 kilometers in 5 miles.

The measurement that is closest to the number of miles between the two towns goes thus:

Firstly, we need to divide 130 kilometers by 8 kilometers. This will be:

= 130/8

= 16.25

Then, we multiply 16.25 by 5 to get the number of miles between the two towns. This will be:

= 16.25 × 5 miles

= 81.25 miles

= 81 miles

4 games as:

5.59 * 8 = 44.72

178.88/44.72 = 4

Answer = C. 4

Mark as Brainliest please

Answer:

1.5 tons

Step-by-step explanation:

1 US tons is equal to 32,000 ounces. Using this, you divided 48,000/32,000 =  12/8 = 1.5 tons

Answer:

Answer: 2/3

Step-by-step explanation:

6 and 9 are divisible by 3 so if you divide the numerator and denominator by 3 you obtain the equivalent fraction 2/3.

You can also multiply the numerator and denominator by the same amount to obtain an equivalent fraction.

Answer:

I know for a fact its the first and third ones but if there are more than those two I don't know

Step-by-step explanation:

Answer:

triangles ABC and DCB are congruent by the side-angle-side triangle congruence theorem is the correct answer

hope it helps you!

Answer:

Absolutely, I would be more than willing to.

Answer:

Add a picture of the graph please?

Step-by-step explanation: