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AlladinOne [14]

3 years ago

15

PLEASE HELP!!! WILL REWARD BRAINLIEST!!!

1 answer:

jonny [76]3 years ago

6 0

Answer:

The approximate monthly rate of growth is 1.24%

Step-by-step explanation:

we have the future value formula

$F=P(1+r)^t$

we have

$r=16\%=16/100=0.16$ ----> annual interest rate

so

$F=P(1+0.16)^t$

$F=P(1.16)^t$

Find the approximate monthly rate of growth

Remember that

$1\ year=12\ months$

so

Divide the number of periods t by 12

$F=P(1.16)^{\frac{t}{12}}$

Applying power rules property

$F=P(1.16^\frac{1}{12})^t$

$F=P(1.0124)^t}$

$1.0124-1=0.0124$

Convert to percentage

$0.0124*100=1.24\%$

therefore

The approximate monthly rate of growth is 1.24%

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This is pretty hard but i really need it correct please help!

Wewaii [24]

I prob think it’s b

6 0

3 years ago

Deidre bought a car in California. The price of the car was $32,000. California has an 8% sales tax. How much did Deidre pay for

MrRa [10]

Given:

Price of car = $32,000

Sales tax = 8%

To find:

The price of car including sales tax.

Solution:

We have,

Price of car = $32,000

Salas tax = 8%

Amount of sales tax = 8% of price of car

$\text{ Sales Tax}=\dfrac{8}{100}\times 32000$

$\text{Sales Tax}=2560$

Now,

Total price of car including tax = Price of car + Sales tax

$\text{Total price of car including tax}=32000+2560$

$\text{Total price of car including tax}=34560$

Therefore, the price of car including tax is $34560.

4 0

3 years ago

If a projectile is fired with an initial speed of vo ft/s at an angle α above the horizontal, then its position after t seconds

Elena L [17]

Answer:

a) The bullet hits the ground after 64 seconds.

b) The bullet hits the ground 113,511.7 feet away.

c) The maximum height attained by the bullet is of 16,384 feet.

Step-by-step explanation:

Equations of motion:

The equations of motion for the bullet are:

$x(t) = (v_0\cos{\alpha})t$

$y(t) = (v_0\sin{\alpha})t - 16t^2$

In which $v_0$ is the initial speed and $\alpha$ is the angle.

Initial speed of 2048 ft/s at an angle of 30o to the horizontal.

This means that $v_0 = 2048, \alpha = 30$ .

So

$x(t) = (v_0\cos{\alpha})t = (2048\cos{30})t = 1773.62t$

$y(t) = (v_0\sin{\alpha})t - 16t^2 = (2048\sin{30})t - 16t^2 = 1024t - 16t^2$

(a) After how many seconds will the bullet hit the ground?

It hits the ground when $y(t) = 0$ . So

$1024t - 16t^2 = 0$

$16t^2 - 1024t = 0$

$16t(t - 64) = 0$

16t = 0 -> t = 0 or t - 64 = 0 -> t = 64

The bullet hits the ground after 64 seconds.

(b) How far from the gun will the bullet hit the ground?

This is the horizontal distance, that is, the x value, x(64).

$x(64) = 1773.62(64) = 113511.7$

The bullet hits the ground 113,511.7 feet away.

(c) What is the maximum height attained by the bullet?

This is the value of y when it's derivative is 0.

We have that:

$y^{\prime}(t) = 1024 - 32t$

$1024 - 32t = 0$

$32t = 1024$

$t = \frac{1024}{32} = 32$

At this instant, the height is:

$y(32) = 1024(32) - 16(32)^2 = 16384$

The maximum height attained by the bullet is of 16,384 feet.

7 0

3 years ago

Solve the equation <br><img src="https://tex.z-dn.net/?f=2%20%5Csin%20%5E%7B3%7D%20%20x%20-%20%5Csin%20%5C%3A%20x%20%3D%200%20"

lyudmila [28]

Answer:

Step-by-step explanation:

$2 sin^3x-sin x=0\\sinx(2sin^2x-1)=0\\either~sin x=0,x=n\pi ,where ~n~is~an~integer.\\or~2sin ^2x-1=0\\or~1-2sin^2x=0\\cos 2x=0\\2x=(2n+1)\frac{\pi }{2} \\or~x=(2n+1)\frac{\pi }{4} ,where~n~is~an~integer.$

3 0

3 years ago

3/5 × -4/7 + 4/35 - 3/10 × 4/7

Annette [7]

Answer:

I think its -2/5 but not sure

Step-by-step explanation:

5 0

3 years ago

Read 2 more answers