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natita [175]
4 years ago
11

Suppose $500 is invested in an account at an annual interest rate of r =5.5%, compounded continuously.

Mathematics
1 answer:
Natalka [10]4 years ago
4 0

Answer: a) A(t)= $500(1.055)^t

b) Amount after 9 years A(9) = $809.55

Amount after 17 years A(17) = $1242.40

Step-by-step explanation: shown in the attachment.

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i have 17 coins. N of them are nickels and the rest are dimes. write an expression in two different ways for the amount of money
sergiy2304 [10]

Answer:

0.05N - 0.1N + 1.7 (in dollars

1.7 - 0.05N (in dollars)

Step-by-step explanation:

Given :

Total number of coins = 17

Number of nickels = N

Number of dimes = 17 - N

1 nickel = 5 cent = $0.05

1 dime = 10 cent = $0.1

The amount of money :

(Value of nickel * number of nickels) + (value of dime * number of dime)

(0.05 * N) + (0.1 * (17-N))

0.05N + 1.7 - 0.1N

0.05N - 0.1N + 1.7

-0.05N + 1.7 = 1.7 - 0.05N

4 0
3 years ago
What is the product of 4/5x2 3/4 written in simplest form
IRISSAK [1]
First, you convert 2 3/4 to a improper fraction, which is 11/4. Then you multiply 4/5 with 11/4, after you cross simplify the fractions, you can multiply 1/5 with 11/1, which equals 2 1/5. Hope can help you a little bit. :) 
3 0
4 years ago
Find the distance between V(4,4) and X(5,8).<br> Round to the nearest tenth, if necessary.
Margarita [4]

Answer:

(x_{2} - x_{1})^{2} +  (y_{2} - y_{1})^{2} = c^{2}

V(x_{1}, y_{1}) = V(4, 4)\\X(x_{2}, y_{2}) = V(5, 8)\\

(5-4)^{2} + (8-4)^{2} = c^{2}\\1^{2} + 4^{2} = c^{2}\\

1+16=c^{2}\\17= c^{2}\\c = \sqrt{17}

Step-by-step explanation:

Start by plotting your points.

If the line is diagonal, then realize you can make a triangle with the line connecting the two points being the hypotenuse.

Use Pythagorean Theroem to solve.

3 0
3 years ago
Point F is on line CD. Find the measure of angle CFE. Show your work.
wel

Answer:

CFD = 180

EFD= 152

180-152= 28

CFE= 28

Step-by-step explanation:

5 0
3 years ago
Which property of equality would you use to solve the equation 14x=56
KonstantinChe [14]
Its x=4 
because if you divide both sides by 14 property of the equality 
x = 56 divided by 14 x= 4 
the answer is x=4
3 0
3 years ago
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