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3 years ago

Find the future value of 1000 at 7 % interest compounded annually for 10 years.

Mathematics

2 answers:

ser-zykov [4K]3 years ago

8 0

The future value of 1000 with annual compounding for 10 years is $1967.15.

The formula for calculating with annual compounding is:

FV = P (1 + r)^n

FV = Future value
P = the amount deposited
R = interest rate
N = number of years

1000 x (1.07)^10 = $1967.15

To learn more about future value, please check: brainly.com/question/18760477

adell [148]3 years ago

5 0

Answer:

1967.15

Step-by-step explanation:

1000 x 1.07^10 = 1967.15

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The Sears Tower, at 1,451 feet, is one of the tallest structures in the United States. A penny is thrown from the top of the tow

padilas [110]

Answer:

The equation for the height of the penny in function of time is:

$h(t)=1451-16t^2$

After 7 seconds, the penny will be at a height of 667 feet.

Step-by-step explanation:

The penny will have a free fall.

The initial velocity is zero, and the initial height is h(0)=1,451.

The acceleration will be the gravity, that has a value g=32 ft/s^2.

Then, we can model this starting by the speed:

$dv/dt=-g\\\\v(t)=v_0-gt=-gt$

Then, the height becomes:

$dh/dt=v(t)=-gt\\\\h(t)=h_0-\dfrac{gt^2}{2}=1451-\dfrac{32}{2}t^2\\\\\\h(t)=1451-16t^2$

The approximate height of the penny after 7 seconds can be calculated as:

$h(7)=1451-16(7^2)=1451-16*49=1451-784=667$

After 7 seconds, the penny will be at a height of 667 feet.

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HELP! 16x^(2)-40x+6x-15=0 I already factored and this is the extended version, but I don't know where to go from here. Show your

Vika [28.1K]

If you're trying to solve for x, you need to use the quadratic formula.
$\frac{-b+/- \sqrt{b^2 - 4(a)(c)} }{2a}$
Plug in the numbers from the standard form of a quadratic equation
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Take the square root of 196, which is 14
$\frac{34+/- 14}{32}$
Now, you can solve for both the + and - variations on the equation.
The solutions to your equation are 1.5 and 5/8 (probably)

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4 years ago

Find the future value of 1000 at 7 % interest compounded annually for 10 years.​

Find the future value of 1000 at 7 % interest compounded annually for 10 years.