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ELEN [110]
2 years ago
13

An amount of 1,500.00 is deposited in a bank paying an annual interest rate of 4.3% compounded quarterly. What is the balance af

ter 6 years?
Mathematics
1 answer:
defon2 years ago
8 0

First, multiply the 1,500 by 4.3% to come up with $64.50 every three months (the question says compounded quarterly).

$64.50 x 4(quarters in a year) = $258.00 per year

$258.00 x 6 years = $1,548.00

$1,500.00 + $1,548.00 = $3,048.00 balance after six years


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Can someone please help with this or explain how to do it. I'm not very sure where to begin ToT
larisa86 [58]

Answer:

d. 12x^23y^40z^9 + 10x^78z^5 = 2x^23z^5(6y^40z^4 + 5x^55)

Step-by-step explanation:

First, we find the greatest common factor of 12x^23y^40z^9 and 10x^78z^5.

We work on the numbers, then on x, then on y, then on z.

We start with the GCF of 12 and 10.

10 = 2 * 5

12 = 2 * 3 * 3

The only factor 10 and 12 have in common is 2, so the GCF of 12 and 10 is 2.

Now we work on x. We have x^23 and x^78.

x^23 has 23 factors of x.

x^78 has 78 factors of x.

Since x^23 and x^78 have both at least 23 factors of x, x^23 is the GCF of x.

Now we work on y.

There is y^40 in one term, but there is no y in the other term. There is no GCF for the y.

Now we work on z. The first term has z^9. the second term has z^5. They both have at least 5 factors of z, so the GCF of z is z^5.

Now we put all the parts of the GCF together, and the GCF of the two terms is

2x^23z^5

We use option d. to factor.

12x^23y^40z^9 + 10x^78z^5 = 2x^23z^5(___a____ + ____b___)

We already have the GCF outside the parentheses. Now we need to figure out what goes inside the parentheses.

The terms that go in positions a and b are the terms that when multiplied by the GCF give you the original expression.

We now work on position a.

What do you multiply by 2x^23z^5 to get 12x^23y^40z^9?

Answer: 6y^40z^4

Now we have

12x^23y^40z^9 + 10x^78z^5 = 2x^23z^5(6y^40z^4 + ____b___)

Now we do the same for position b.

What do you multiply by 2x^23z^5 to get 10x^78z^5?

Answer: 5x^55

Now we have

12x^23y^40z^9 + 10x^78z^5 = 2x^23z^5(6y^40z^4 + 5x^55)

Answer: d. 12x^23y^40z^9 + 10x^78z^5 = 2x^23z^5(6y^40z^4 + 5x^55)

5 0
2 years ago
Last year, sales at a book store increased from $5,000 to $10,000. This year, sales decreased to $5,000 from $10,000. What perce
Grace [21]
Increased 100%, decreased 50%
4 0
2 years ago
Read 2 more answers
Chazmire purchases 14 bags of flour for her bakery.Each bag of flour cost $2.47. How much does chazmire soend for flout
solong [7]

Answer:

$34.58

Step-by-step explanation:

If each bag of flour cost $2.47, then;

1 bag = $2.47

To calculate the cost of 14bags;

14 bags = x

x is the cost of 14 bags

Divide both expressions

1/14 = 2.47/x

cross multiply

1 * x = 14 * 2.47

x = $34.58

Hence Chazmire spent $34.58 on flour

5 0
3 years ago
Write a slope-intercept equation of a line that passes through (-3,4) and (3,-8)
Umnica [9.8K]
Y=-2x-2 is the right answer
4 0
3 years ago
If the scale factor of my dilation is 4 , what is happening to my shape ?
anygoal [31]

Answer:

The shape is the same

Step-by-step explanation:

we know that

A dilation is a non rigid transformation, that change the size but not the shape of the original  figure

so

If the dilation scale factor is 4, the figure size increases by 4, but the shape remains the same

4 0
2 years ago
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