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romanna [79]
2 years ago
6

You are looking to save money to start a business. You currently have $500 saved up. We JustWantUrMoney Bank offers a savings ac

count with 12%
interest, compounded annually. How much money would you have after 10 years? Round to the nearest cent, if necessary.
Mathematics
1 answer:
Arlecino [84]2 years ago
6 0

Answer:

You would have $1552.9 after 10 years.

Step-by-step explanation:

Compound interest:

The compound interest formula is given by:

A(t) = P(1 + \frac{r}{n})^{nt}

Where A(t) is the amount of money after t years, P is the principal(the initial sum of money), r is the interest rate(as a decimal value), n is the number of times that interest is compounded per year and t is the time in years for which the money is invested or borrowed.

You currently have $500 saved up.

This means that P = 500

12% interest, compounded annually.

This means that r = 0.12, n = 1.

How much money would you have after 10 years?

This is A(10). So

A(t) = P(1 + \frac{r}{n})^{nt}

A(10) = 500(1 + \frac{0.12}{1})^{10}

A(10) = 1552.9

You would have $1552.9 after 10 years.

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1 3/5 •1 2/5= Find the value of each expression in lowest terms. That dot between the numbers is times
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A shop has a sale that offers 20% off all prices.On the final day reduce all the sale prices by 25%.Linz buys a radio on the fin
Mrac [35]

Answer:

40%

Step-by-step explanation:

Original price = x

Sale = 20% off

20% / 100 = 0.2 to convert from a percent to a decimal

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Sale price = y = 0.8x

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Reduction = y - 25% of y = y - 0.25y = 0.75y

End price in terms of original price (x):

0.75y = 0.75(0.8)x

          = 0.6x

End price = 0.6 or 60% of original price, coming out to a 100-60 = 40% overall percentage reduction

5 0
2 years ago
The edge of a cube was found to be 30 cm with a possible error in measurement of 0.5 cm. Use differentials to estimate the maxim
IgorLugansk [536]

Answer:

for the volume a cube

Possible error = 1350cm³

Relative error = 0.05

Percentage error = 5%

For the surface area of a cube

Possible error = 180cm²

Relative error = 0.0333

Percentage error = 3.33%

Step-by-step explanation:

A cube is a three dimensional solid object with six (6) faces, twelve (12) edges and eight(8) vertices.

The volume of a cube = x³

Where x= length of the edge of a cube

X = 30cm 0.5cm

Differentiate V with respect to x (V = Volume of a cube)

dV/dx= 3 x²

dV= 3 x² . dx

dV = 3 × 30² × (0.5)

dV= 2700(0.5)

= 1350cm³

Maximum possible error = 1350cm³

Relative error = possible error /Volume

= dV/V

Recall that V = x³

V= (30)³

A = 27000cm³

Substitute the values for and V into the formula for Relative error

Relative error = 1350/27000

Relative error = 0.05

% error = Relative error × 100

= 0.05× 100

= 5%

Surface Area of a cube = 6x²

A = 6x²

Differentiate A with respect to x

dA/dx = 12x

dA/dx = 12x . dx

= 12 × 30 (0.5)

= 180cm²

Maximum possible error = 180cm²

Relative error = possible error / surface area

= dA/A

Recall that A = 6x²

A = 6(30)²

A = 5400cm²

Substitute the values for and A into the formula for Relative error

Relative error = 180/5400

Relative error = 0.0333(4 decimal place)

% error = Relative error × 100

= 0.0333 × 100

= 3.33%

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3 years ago
Which statement is true regarding the functions on the
fredd [130]

Answer:

I think f(0) = g(2) is the answer, I'm very sure.

Step-by-step explanation:

6 0
3 years ago
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