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3 years ago

9

Find the amount in a continuously compiunded account for the following condition. Principal, $4000; Annual interest rate, 5.1%;

time, 2 years

1 answer:

Ket [755]3 years ago

7 0

A = P*e^(rt)

Here,

A = $4000*e^(0.051*2) = $4000*e^1.02 = $4000(2.773) = $11092.78

Note: This seems very high to me.

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Huixian needs 171 pens 63 pencils and 27 erasers into identical gift packs so that each item could equally distribiuted among th

Anuta_ua [19.1K]

Answer:

there will 7 pencils, 19 pens and 3 erasers in each bag of gift bag and total number of gifts bag will be 9.

Step-by-step explanation:

Given:

Number of pens = 171 pens

Number of pencils = 63

Number of erasers = 27

We need to number of each items in the bags.

Solution:

First we will find the largest number of gift bags that can be packed.

To find the the largest number of gift bags that can be packed we need to find the greatest common factor of these numbers.

So we will List the prime factors for each number:

$171 = 3 \times 3 \times 19\\\\63 = 3 \times 3 \times 7\\\\27 = 3 \times 3 \times 3$

From above we can say that;

The greatest common factor of three numbers = $3\times3=9$

Hence There would 9 gifts bag to packed this item.

Now To find the Number of item in each bag we will divide number of items from the number of gifts bag.

framing in equation form we get;

Number of pencils in each = $\frac{63}{9}=7\ pencils$

Number of pens in each bag = $\frac{171}{9}=19\ pens$

Number of eraser in each bag = $\frac{27}{9}=3\ erasers$

Hence there will 7 pencils, 19 pens and 3 erasers in each bag of gift bag and total number of gifts bag will be 9.

6 0

3 years ago

Please answer these questions:

baherus [9]

Answer

1• 2/5÷7/8

if there is a division sign in between two fractions what u have to do is multiply and, the fraction at the right need to change

=2/5×8/7

=16/35

=0•457

2• 3/4÷6/5

=3/4×5/6
18/24
=0.75

3• 3/5÷7/8

=3/5×8/7

=24/35

=0•6857

4• 3/4÷5/6

=3/4×6/5

=18/20

=0•9

8 0

3 years ago

Which table contains ordered pairs that lie on the graph of the equation -2x + 4y = 16?

tia_tia [17]

Answer:

C

Step-by-step explanation:

To figure out which pairs lie on -2x+4y = 16, we can plug the x and y values into the equation to see if they work. We need all pairs of x and y values in a table to work for the answer to be correct

A)

x=-4, y=2

-2x+4y = -2 * (-4) + 4 * (2) = 8 + 8 = 16. This works. Note that two negatives multiplied together make a positive, and 4*2 = 8

x=0, y=8

-2x + 4y = -2 * (0) + 4 * (8) = 0 + 32 = 32. This does not work, as 32 is not 16. Note that anything multiplied by 0 is 0

B)

x=8, y=0

-2x+4y = -2 * (8) + 4 * (0) = -16. This is not equal to 16. Note that a negative multiplied by a positive is still a negative

x=2, y=3

-2x + 4y = -2 * (2) + 4 * (3) = -4 + 12 = 8. This is not equal to 16.

C)

x=0, y=4

-2x + 4y = -2 * (0) + 4 * (4) = 0 + 16 = 16. This works

x=4, y=6

-2x + 4y = (-2)* (4) + 4 * (6) = -8 + 24 = 16. This works. As both pairs of values in the table works, this is the correct answer. Nevertheless, we can check D to make sure.

D)

x=-2, y=5

-2x+4y = -2 * (-2) + 4 * (5) = 4 + 20 = 24. This is not 16

x=-8, y=0

-2x+4y = -2 * (-8) + 4 * (0) = 16. This works, but the other pair does not work, so D is incorrect

3 0

3 years ago

Math class, need help on this. Anybody??

ASHA 777 [7]

Answer:

y = 2x-5

Step-by-step explanation:

y = 2x+2

We know the slope of this line is 2 because it is in the form y =mx +b where m is the slope

We want a parallel line so it has the same slope

We can use the point slope form of the equation

y-y1 = m(x-x1)

y--1 = 2(x-2)

y+1 = 2(x-2)

Distribute

y+1 = 2x-4

Subtract 1 from each side

y+1-1 = 2x-4-1

y = 2x-5

This is in slope intercept form

3 0

3 years ago

HELP URGENT!!!!!!!!!!!!!!!!!

sveta [45]

Answer:

c=1,1 d=3,1 e=3,3

Step-by-step explanation:

3 0

3 years ago