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Katarina [22]
3 years ago
15

I need help on this question

Mathematics
1 answer:
Pavel [41]3 years ago
5 0

4.2% means 0.042 .

4.2% more than some amount is 1.042 of it.

Interest compounded annually means that a year after you deposit some money
into your bank account, the bank looks to see how much of your money has been
there for a year, and they add  4.2%  of that into your account.  Another way to
look at it is that they change the balance in your account, from the amount it was
a year ago, to  1.042  of that amount. That's right. They just <u>give</u> you free money !

Why that's so good is:  Now the new amount in your account is  1.042  of
the amount you originally deposited, and after another year, they'll give you
another  4.2%  of <em><u>that</u></em> larger amount. Then you'll have  (1.042)² = about  <em><u>
8.6% more</u></em><em /> than your original deposit, 2 years earlier.

At the end of any number of years ... call it 't' years ... the amount in your
account is the amount you deposited, multiplied by  (1.042)^'t' power.

If you just put some money into this particular bank, and forget about it
and never touch it, you'll have <em><u>double</u></em> the amount in 17 years.

Now we can go and take care of Rhonda.

She put $3000 into a new account at the the bank, and then she forgot
about it and never touched it. How much is in that account after 't' years ?
The amount that's in that account at any time is called the 'balance'.
How much is it after 't' years ?

         <em>  Balance = 3,000 (1.042)^'t' power .</em>


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Answer:

The answer is -9

7 0
3 years ago
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What do the following two equations represent? -3x-y = 3−3x−y=3minus, 3, x, minus, y, equals, 3 -3x-y = 3−3x−y=3
allochka39001 [22]

3 x minus y equals 3

4 0
3 years ago
Please help with this. Thanks
lisov135 [29]

Answer:

\sqrt{106}

Step-by-step explanation:

Given <u>v</u> = < - 5, 9 > then the magnitude is

| <u>v</u> | = \sqrt{(-5)^2+9^2} = \sqrt{25+81} = \sqrt{106}

4 0
3 years ago
Jake and Hakeem's rocket's flight is approximately modeled by the equation h(t) = - 12t ^ 2 + 36t + 3 where h(t) is the height i
kumpel [21]

Answer:

30m

Step-by-step explanation:

<em>Since we are not told what to look for, we can find the maximum height reached by the rocket</em>

Given the rocket's flight approximately modeled by the equation

h(t) = - 12t ^ 2 + 36t + 3

At maximum height dh/dt = 0

dh/dt =  --24t + 36

0 = -24t + 36

24t = 36

t= 36/24

t = 1.5s

Get the max height

h(1.5) =  - 12 (1.5)^ 2 + 36(1.5) + 3

h(1.5) = - 12(2.25) + 54 + 3  

h(1.5) = -27 + 57

h(1.5) = 30m

Hence the maximum height reached by the rocket is 30m

8 0
3 years ago
Help picture below problem 9
nadya68 [22]

<u>Solution</u><u> </u><u>:</u><u>-</u>

Here, we have been given that lines f and g are parallel. Thus, the angle measuring 135° and ∠2 are vertically opposite angles.

And we know that vertically opposite angles measure same. Thus,

∠2 = 135°

And,

∠2 + ∠6 = 180° ( Co - interior angles sum up to 180° )

135° + ∠6 = 180°

∠6 = 180° - 135°

∠6 = 45°

Now,

we see that ∠6 and ∠5 are making a linear pair of angles, and we know that angles in a linear pair measure 180° Thus,

∠5 + 45° = 180°

∠5 = 180° - 45°

∠5 = 135°

Thus, the value of angle 5 is 135°

Hope that helps. :)

4 0
2 years ago
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