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3 years ago

John invested N$ 20 000 on 1/06/2009 at 9% p.a. interest compounded monthly

Mathematics

1 answer:

alina1380 [7]3 years ago

3 0

Answer:

a) $49,027.14

b) $54,501.67

Step-by-step explanation:

a) The account balance multiplier for interest rate r compounded n times per year for t years is ...

multiplier = (1 +r/n)^(nt)

For your numbers, r=.09, n=12, t=10, this is 2.45135708, so the account balance after 10 years will be ...

$20,000 × 2.45135708 ≈ $49,027.14

b) All but $20,000 of the above balance is interest, so the amount invested for the second period is $29,027.14.

The multiplier for a continuously compounded interest rate r for t years is ...

multiplier = e^(rt)

For your numbers, r=.105 and t=6, so the multiplier is e^.63 ≈ 1.8776106 and the account balance for an investment of $29,027.14 will be ...

$29,027.14 × 1.8776106 ≈ $54,501.67

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Equation: w = 112 + 8t Which input results in an output of 176? What is the output in the ordered pair (4, 144)?

Grace [21]

9514 1404 393

Answer:

Step-by-step explanation:

Generally, the single variable on the left side of the equation is the "output" or dependent variable, while any other variables on the right side of the equation are considered to be independent variables, or "input."

So, we assume your first question is asking for the value of t that makes w=176. Put the values in the equation and solve for the unknown.

w = 112 +8t

176 = 112 + 8t

64 = 8t . . . . . . . subtract 112

8 = t . . . . . . . . . divide by 8

The input for an output of 176 is 8.

Ordered pairs are always written as ...

(input, output)

So, (4, 144) means the output is 144 for an input of 4.

7 0

3 years ago

Read 2 more answers

Kelly has 4 dimes and some nickels. The value of her coins is 2.25 how many

Semmy [17]

4 dimes=4 *10=40 cents

2.25-0.40=1.85

1.85=0.05 times number of nickles
times 100 both sides
185=5 times number of nickels
divide both sides by 5
37=number of nickles

has 37 nickles

8 0

3 years ago

What is the volume of the prism?

mezya [45]

Answer:

40 $\frac{5}{8}$ $cm^{3}$

Step-by-step explanation:

The figure is a rectangular prism, so the formula would be Volume = length x width x height.

length = 6 $\frac{1}{2}$ cm

width = 2 $\frac{1}{2}$ cm

height = 2 $\frac{1}{2}$ cm

If you plug everything you have in the problem into the volume equation, you would get : Volume = 6 $\frac{1}{2}$ cm x 2 $\frac{1}{2}$ cm x 2 $\frac{1}{2}$ cm.

Without a calculator, I would first turn the mixed numbers into improper fractions.