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2 years ago

Find the balance in the account. $2,500 principal earning 4%, compounded quarterly, after 4 years

2 answers:

6 0

Formula:
A(t)=P(1+(r/n))^)nt)

A(4)=2500(1+(0.04/4))^(4*4)
A(4) = 2500(1.01)^16
A(4) = 2500*1.1726
A(4) = $2931.45

oee [108]2 years ago

3 0

Answer:

$2941.45 will be the balance.

Step-by-step explanation:

Formula to find the final amount after 4 years with compound interest is

$A=A_{0}[1+\frac{r}{n}]^{nt}=2500[1+.04/4]^{4.4}=2500(1.01)^{16}$

= 2500×1.173 = $2931.45

Therefore $2931.45 is the final amount.

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Six sophomores and 14 freshmen are competing for two alternate positions on the debate team. Which expression represents the pro

Elanso [62]

Answer:

Choose the first alternative

$\displaystyle P=\frac{_{1}^{6}\textrm{C}\ _{1}^{5}\textrm{C}}{_{2}^{20}\textrm{C}}$

Step-by-step explanation:

Probabilities

The requested probability can be computed as the ratio between the number of ways to choose two sophomores in alternate positions $(N_s)$ and the total number of possible choices $(N_t)$ , i.e.

$\displaystyle P=\frac{N_s}{N_t}$

There are 6 sophomores and 14 freshmen to choose from each separate set. There are 20 students in total

We'll assume the positions of the selections are NOT significative, i.e. student A/student B is the same as student B/student A.

To choose 2 sophomores out of the 6 available, the first position has 6 elements to choose from, the second has now only 5

$_{1}^{6}\textrm{C}\ _{1}^{5}\textrm{C} \text{ ways to do it}$

The total number of possible choices is

$_{2}^{20}\textrm{C} \text{ ways to do it}$

The probability is then

$\boxed{\displaystyle P=\frac{_{1}^{6}\textrm{C}\ _{1}^{5}\textrm{C}}{_{2}^{20}\textrm{C}}}$

Choose the first alternative

7 0

2 years ago

Read 2 more answers

2x - y = 6 4 x-y 13 anch

yanalaym [24]

Answer:

x=-7, y= -20

Step-by-step explanation:

2x - y =6

x - y = 13

when I subract (x-y =13 ) from (2x-y =6)

2x -y =6

-x +y=-13

______________

x = -7

substitute x=-7 in the second equation

-7 - y =13

-y = 13 +7

-Y = 20

Y=-20

x=-7, y= -20

8 0

2 years ago

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Let fx) = 8x - 3 What is f(5)?

mihalych1998 [28]

f(5) means to replace the x in the equation with 5.

f(5) = 8(5) - 3

f(5) = 40 - 3

f(5) = 37

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2 years ago

Someone help,please.I don't understand very well.

Setler79 [48]

You just add THAM All up

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2 years ago

Find the height of a triangle with a base of 6.4 meters and an area of 22.4 square meters

nevsk [136]

Answer:

Its height would be 7 meters.

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2 years ago