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Arada [10]
3 years ago
11

6. A Civil War cannon is placed at the base of a hill. The cannon is fired at an angle toward the hill. The path of the cannon b

all is parabolic and can be represented by y=-0.04x2 + 4x + 1, where y represents the height of the ball in meters and x represents the horizontal distance of the ball from the cannon. The incline of the hill can be represented by the equation y = 0.8125x. How far will the cannon ball have moved horizontally from the cannon when it hits the hill?​
Mathematics
1 answer:
SOVA2 [1]3 years ago
3 0

Answer: 80

Step-by-step explanation:

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How much must you deposit in an account that pays 6.25% interest, compounded annually, to have a balance of $700 after two years
Amanda [17]

The compound interest is applied to the remaining balance in the account

each subsequent year.

  • The amount that must be deposited is approximately <u>$620.07</u>

Reasons:

The given compound interest rate, r = 6.25% = 0.0625

The balance in the account after 2 years, A = $700

Required:

The required deposit, <em>P</em>, that gives the given account balance after 2 years.

Solution:

The following is the compound interest formula to use;

  • A = \mathbf{P \times \left(1+r \right)^{ t}}

Where;

t = 2 years

We get;

\displaystyle P = \mathbf{ \frac{A}{(1 + r)^t}}

Which gives;

\displaystyle P = \frac{700}{(1 + 0.0625)^2} \approx  \mathbf{620.07}

  • The amount that must be deposited to give $700 after 2 years is P ≈ <u>$620.07</u>

Learn more about compound interest here:

brainly.com/question/10028292

6 0
3 years ago
A
shtirl [24]

Answer:

there is 92.25

Step-by-step explanation:

15x2=30

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6 0
3 years ago
How to solve <br> 7x-20=2x+25
ziro4ka [17]
X = 9 I hope this helps!

7 0
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mote1985 [20]

Togeher they have 9 + 6 = 15 apples.

4 0
3 years ago
What is the quotient of 40,122 divided 27
Luden [163]

Answer:

1486

Step-by-step explanation:

What is the quotient, if 40,122 is divided by 27?

   40,122

 -------------- = 1486

        27

7 0
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