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amm1812
3 years ago
13

Keith has $20 in a savings account that earns 10% interest, compounded annually.

Mathematics
2 answers:
mestny [16]3 years ago
3 0

Answer:

A = P(1 + r)t

Step-by-step explanation:

account balance, to the nearest cent, after: Year 1? Year 2? Year 3? Year 4? ... -To calculate compound interest we use the formula below where A = total balance after t years, P = principal amount (amount borrowed or invested), r = interest ... annually. a) How much money will Jack have after 1 year? b) How much money ...

Art [367]3 years ago
3 0

Answer:

$6.62 interest

Step-by-step explanation:

B = p(1 + r)^t

= 20(1 + 0.10)^3

= 20 * (1.10)^3

= $26.62

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suppose we want to choose 5 letters, without replacement, from 13 distinct letters. (a) how many ways can this be done, if the o
CaHeK987 [17]

A. The number of possible ways can this be done, if the order of the choices is not taken into consideration is 1, 287 ways

B. The number of possible ways can this be done, if the order of the choices is taken into consideration is 154,440 ways

<h3>What is meant by permutation and combination?</h3>

Combination and permutation are two alternative strategies in mathematics to divide up a collection of components into subsets. The subset's components can be listed in any order when combined. The components of the subset are listed in a permutation in a certain order.

A. We want to select 5 objects from a total 13, without considering the order in which they are chosen.

The correct way to do this exists by utilizing the combination formula since order exists not considered;

Therefore, we have ; 13 C 5 read as 13 combination 5;

Let the equation of combination be n C r = n!/(n-r)!r!

substituting the values in the above equation, we get

13!/(13-8)!8! = 13!/5!8! = 1,287 ways

B. By considering order, we shall be using the permutation formula;

Let the equation of permutation be n P r = n!/(n-r)!

substituting the values in the above equation, we get

13 P 5 = 13!/(13-5)!

= 13!/(13-5)! = 13!/8! = 154,440 ways

To learn more about permutation and combination refer to:

brainly.com/question/11732255

#SPJ4

3 0
1 year ago
Simplify -1/4m + 5/6 +3/8m - 2/3 <br><br><br><br><br> HURRYYY PLEASE !!!!
sukhopar [10]

3/8 m - 1/4 m + 5/6 - 2/3

3/8 m - 2/8 m + 5/6 - 4/6

<u>1/8 m</u><u> + </u><u>1/6</u>

4 0
3 years ago
What are the solutions of the quadratic equation? 4x^2+34x+60=0
insens350 [35]

Answer:

Option 3) -6,-5/2

Step-by-step explanation:

we know that

The formula to solve a quadratic equation of the form

ax^{2} +bx+c=0

is equal to

x=\frac{-b(+/-)\sqrt{b^{2}-4ac}} {2a}

in this problem we have

4x^{2} +34x+60=0  

so

a=4\\b=34\\c=60

substitute in the formula

x=\frac{-34(+/-)\sqrt{34^{2}-4(4)(60)}} {2(4)}

x=\frac{-34(+/-)\sqrt{196}} {8}

x=\frac{-34(+/-)14} {8}

x_1=\frac{-34(+)14} {8}=-\frac{20}{8}=-\frac{5}{2}

x_2=\frac{-34(-)14} {8}=-6

6 0
3 years ago
Let A(t) be the area of a circle with radius r(t), at time t in min. Suppose the radius is changing at the rate of drdt=6 ft/min
mylen [45]

Answer:

The rate of change is 108\pi ft^(2)/min

Step-by-step explanation:

The area of a circle is given by the following equation:

A(t) = \pi r^{2}

To solve this question, we have to realize the implicit differentiation in function of t. We have two variables, A and r. So

\frac{dA(t)}{dt} = 2\pi r \frac{dr}{dt}

We have that:

\frac{dr}{dt} = 6, r = 9.

We want to find \frac{dA}{dt}

So

\frac{dA(t)}{dt} = 2\pi*9*6

\frac{dA}{dt} = 108\pi

Since the area is in square feet, the rate of change is in ft^(2)/min.

So the rate of change is 108\pi ft^(2)/min

5 0
3 years ago
Fraction written problems<br> 6th grade
Sholpan [36]

Answer:

what??????????

Step-by-step explanation:

4 0
3 years ago
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