What’s the correct answer for this?

Select the correct answer.

Vladimir [108]

Answer:

B

Step-by-step explanation:

The sum to n terms of a geometric series is

$S_{n}$ = $\frac{a(1-r^{n}) }{1-r}$

where a is the first term and r the common ratio

Here a = 6144 and r = $\frac{a_{2} }{a_{1} }$ = $\frac{3072}{6144}$ = $\frac{1}{2}$ , then

$S_{10}$ = $\frac{6144(1-(\frac{1}{2}) ^{10}) }{1-\frac{1}{2} }$

= $\frac{6144(1-\frac{1}{1024}) }{\frac{1}{2} }$

= 12288(1 - $\frac{1}{1024}$ ) ← distribute

= 12288 - 12

= 12276 → B

4 0

3 years ago

The center of a circle is at the origin. An endpoint of a diameter of the circle is at (-3, -4). How long is the diameter of the

Paladinen [302]

Answer:

25

Step-by-step explanation:

I believe

-3^2 + -4^2

9+16=25

7 0

3 years ago

Help meh please..................

madam [21]

Answer:

The correct answer is B. (2x and 7y)

Step-by-step explanation:

You cannot combine x to y therefore they are considered unlike terms .

3 0

3 years ago

Read 2 more answers

Determine whether the two variables are related in a way that might be described by a function. If the situation could be descri

Ivenika [448]

Answer:

B

Step-by-step explanation:

We can observe relationship between demand and price in the sense that, price of a commodity can influence the demand for such commodity. However, we must understand that price is usually not the only explanatory variable for demand in most cases.

Meanwhile, for this question, demand is the dependent variable because it is a function of price. That is:

==> Demand = f(Price)

And price is the independent variable.

We assume that if price of a commodity increase, the demand will decrease if there is a substitute goods in the market.

But, in a monopoly, any increase in price of the commodity might cause decrease in demand only for a while particularly if such goods is a daily necessities. This is largely due to the fact that, the consumers has no other substitute and the goods is important to their daily needs. Hence, any increase in price will rather cause economic hardship on the consumer in a monopoly market.

In conclusion, price determines demand! Thus, the situation can be described by a function. The dependent variable is the demand and the independent variable is the price.

3 0

3 years ago

Bo has $500 in his savings account. He plans to add $150 to his savings account every month. Recently, he purchased a tractor to

MariettaO [177]

Answer:

A. $2,000

Step-by-step explanation:

Assuming that the money in the savings account will be used to pay off for tractor.

let the number of months be m

Savings after m months will be 500+ 150m

After m months the installments paid will 200m

To find the months it will take to pay for the tractor in m months, savings and the installments will be the price of the tractor. As an equation it be represented as below:

500+150m +200m = 4000

150m + 200m = 4000-500 (grouping like terms)

350m = 3500 (Making m the subject of the formula)

350m/350 = 3500/350

m = 10

Substituting m into the equation of saving after m months

Savings after m months will be 500+ 150m

Savings after m months will be 500 + 150(10)

Savings after m months will be 500 + 1500

Savings after m months will be $2000

7 0

4 years ago

Read 2 more answers