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Trava [24]
3 years ago
9

You invest $2,600 in an account that

Mathematics
1 answer:
SashulF [63]3 years ago
4 0

Answer:

$3,927.53

Step-by-step explanation:

You are going to want to use the continuous compound interest formula, which is shown below.

A = Pe^{rt}

<em>P = principal amount</em>

<em>r = interest rate (decimal)</em>

<em>t = time (years)</em>

<em />

First change 8.25% to its decimal form:

8.25% -> \frac{8.25}{100} -> 0.0825

Next, plug in the values into the equation:

A=2,600e^{0.0825(5)}

A=3,927.53

The balance of the account after 5 years will be $3,927.53

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VladimirAG [237]
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3 0
3 years ago
A statistics professor plans classes so carefully that the lengths of her classes are uniformly distributed between 45.0 and 55.
ra1l [238]

Answer:

0.025

Step-by-step explanation:

Hello!

Given that the classes are uniformly distributed between 45.0 and 55.0 minutes, the propability distribution will be:

P(x)=\frac{1}{55-45} = \frac{1}{10}

Now, we are looking for a probability P(51.5<x<51.75) which can be computed as:

P(51.5

Therefore:

P(51.5<x<51.75) = 0.025

or

P(51.5<x<51.75) = 2.5%

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7 0
4 years ago
Without using a calculator, determine the number of real zeros of the function
Natalija [7]

Answer:

1, -6

Step-by-step explanation:

Since there are alike numbers, add them together.

4x+x= 5x

Now the function is: f(x)= x^{2}+5x-6

The function is in  a^{2}+bx+c form.

So find the factors of a x c = b.

Factors of -6(a) that fits (b)5 is (-1,6).

Then you just factor it:

f(x)= x^{2}+5x-6

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x-1= 0  x+6=0

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4 0
3 years ago
Rewrite the set T = { 5a + 2b; a,b belong Z} as a list of its elements
Mamont248 [21]

Answer:

T={...,-3,-2,-1,0,1,2,3,4,....}

Step-by-step explanation:

We are given that T={5a+2b; a,b belongs Z}

We have to rewrite the given set T as  a list of its elements

Substitute a=0 and b=0

Then we get 5(0)+2(0)=0

Substitute a=-1 and b=2 then we get

5(-1)+2(2)=-1

Substitute a=2 and b=0

Then , 5(2)+2(0)=10

If a=0 and b=1

Then, 5(0)+2(1)=2

Substitute a=0 and b=2

Then, 5(0)+2(2)=4

If substitute a=1 and b=1

5(1)+2(1)=7

If substitute a=-1 and b=3

Then, we get 5(-1)+2(3)=1

Then, T={...,-3,-2,-1,0,1,2,3,4,....}

7 0
3 years ago
56 is divided by a certain fraction a over B, the result is 1 fourth what is the fraction a Over b
Nonamiya [84]
14/56=1/4


Hope it helps???
7 0
3 years ago
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