Help help help help help help

Find the common ratio r for the geometric sequence and use r to find the next three terms.

lesantik [10]

Answer:

3240, 9720, 29160

Step-by-step explanation:

7 0

2 years ago

Read 2 more answers

You charged 1,000 on your credit card for Christmas presents. Your credit card company charges you 26% annual interest, compound

Grace [21]

Answer:

94 months

Step-by-step explanation:

You can use the amortization formula for this.

A = P(r/12)/(1 -(1 +r/12)^(-n))

A is the monthly payment; P is the principal amount; r is the annual interest rate, and n is the number of months.

__

Filling in the numbers, we can solve for n:

25 = 1000(0.26/12)/(1 -(1+0.26/12)^-n)

Multiplying by the denominator and dividing by 25, we have ...

1 -(1+0.26/12)^-n = 1000(0.26)/(12(25)) = 13/15

Subtracting 13/15 and adding (1+0.26/12)^-n gives ...

2/15 = (1+0.26/12)^-n

Taking logs turns this into a linear equation:

log(2/15) = -n·log(1+0.26/12)

n = log(15/2)/log(1+0.26/12) = 93.999

It would take 94 months, or 7 years 10 months, to pay off the balance.

_____

Your total of payments would be $2,350.

3 0

3 years ago

Look at this I really need help with this

Anettt [7]

$y = 7500 {(.97)}^{0} \\ = 7500(1) \\ = 7500$
D

6 0

3 years ago

Question 1 (1 point)

olga55 [171]

Answer:

1) $2y^{2}+4y-9$

2) $18x^{5}y^{4}z$

3) $6x^{5}-12x^{4}+9x^{3}$

4) 40

5) $x^{3}-7x^{2}+3x+36$

Step-by-step explanation:

1) Distribute the negative sign that is outside the parentheses and then you must add like terms, as following:

$(y^{2}-3y-5)-(-y^{2}-7y+4)=y^{2}-3y-5+y^{2}+7y-4=2y^{2}+4y-9$

2) According to the Product property of exponents, when you multiply powers with the same base, you must add the exponents. Then:

$(6xy^{3}z)(3x^{2}yx^{2})=18x^{5}y^{4}z$

3) Apply the Distributive property and the Product property of exponents. Then, you obtain:

$-3x^{3}(-2x^{2}+4x-3)=6x^{5}-12x^{4}+9x^{3}$

4) $(4a+5)^{2}$ is a square of a sum, then, by definition you have:

$(a+b)^{2}=a^{2}+2ab+b^{2}$

Then:

$(4a+5)^{2}=(4a)^{2}+2(4a)(5)+5^{2}=16a^{2}+40a+25$

The coefficient of the second term is the number in front of the variable <em>a.</em> Then, the answer is: 40

5) Apply the Distributive property and the Product property of exponents, then, oyou must add the like terms:

$(x-4)(x^{2}-3x-9)=x^{3}-3x^{2}-9x-4x^{2}+12x+36=x^{3}-7x^{2}+3x+36$

6 0

3 years ago

A 2 -gallon container of window costs 31.36. what is the price per cup

irinina [24]

Answer:

0.98 $/cup

Step-by-step explanation:

The final answer asks for price/cup, as "per" means "divided by".

So, our final units will be in $/cup.

We are given that for every 2 gallons, it will cost $31.36.

In order to get from gallons to cups, we need to convert units.

In 1 gallon, there are 16 cups.

So, our conversion factor will be 16 cups/1 gallon.

$\frac{31.36}{2} *\frac{1}{16} \\\\= 0.98$ $/cup

Important things to note:

- With these types of problems, it makes it much easier if you just figure out what units you need in the final answer, and then use conversions and dimensional analysis to get the answer

8 0

2 years ago