Ask question

Ask question

All categories

3 years ago

15

Mary is making some shirts for her school's drama department. The fabric store has yards of the fabric she wants in stock. But t

his quantity of fabric can make only shirts. What length of fabric does Mary need to buy if she wants to sew 2 shirts?

1 answer:

pashok25 [27]3 years ago

7 0

Answer: she will need 4 yards of fabric to make 2 shirts

You might be interested in

Select the correct answer.

yan [13]

Answer:

the money spent by a buyer to purchase a product

6 0

3 years ago

Read 2 more answers

Which linear inequality is represented by the graph?

zalisa [80]

Answer:

y ≥ $\frac{1}{3}$ x - 1

Step-by-step explanation:

First, determine the slope of the line. We can see that the slope is $\frac{1}{3}$ , because the slope has less than 1 y interval per every x interval. This means that the line is less steep. There are only 2 slope choices, $\frac{1}{3}$ , - $\frac{1}{3}\\$ , and 3. We can tell that the slope is positive, but it must be $\frac{1}{3}\\$ because it is clearly less steep than a 3 slope line.

Now, look at the portion that is shaded. It is above the line, and this means that y is greater than the equation given. We can tell it is greater than or equal to, because the line that represents the equation is shaded as well. If it was only greater than and not equal to, the line would not be shaded.

Hope this helps ! :) Please feel free to ask me any questions!

7 0

3 years ago

In an arithmetic sequence, the nth term an is given by the formula an=a1+(n−1)d, where a1 is the first term and d is the commo

Dmitry_Shevchenko [17]

Answer:

$a_{10} = \frac{10}{65536}$

Step-by-step explanation:

The first step to solving this problem is verifying if this sequence is an arithmetic sequence or a geometric sequence.

This sequence is arithmetic if:

$a_{3} - a_{2} = a_{2} - a_{1}$

We have that:

$a_{3} = 40, a_{2} = 10, a_{3} = \frac{5}{2}$

$a_{3} - a_{2} = a_{2} - a_{1}$

$\frac{5}{2} - 10 = 10 - 40$

$\frac{-15}{2} \neq -30$

This is not an arithmetic sequence.

This sequence is geometric if:

$\frac{a_{3}}{a_{2}} = \frac{a_{2}}{a_{1}}$

$\frac{\frac{5}[2}}{10} = \frac{10}{40}$

$\frac{5}{20} = \frac{1}{4}$

$\frac{1}{4} = \frac{1}{4}$

This is a geometric sequence, in which:

The first term is 40, so $a_{1} = 40$

The common ratio is $\frac{1}{4}$ , so $r = \frac{1}{4}$ .

We have that:

$a_{n} = a_{1}*r^{n-1}$

The 10th term is $a_{10}$ . So:

$a_{10} = a_{1}*r^{9}$

$a_{10} = 40*(\frac{1}{4})^{9}$

$a_{10} = \frac{40}{262144}$

Simplifying by 4, we have:

$a_{10} = \frac{10}{65536}$

3 0

4 years ago

Suppose you invest $50 a month in an annuity that earns 4% APR compounded monthly. How much money will you have in this account

skelet666 [1.2K]

To solve this we are going to use formula for the future value of an ordinary annuity: $FV=P[ \frac{(1+ \frac{r}{n} )^{nt} -1}{ \frac{r}{n} } ]$
where
$FV$ is the future value
$P$ is the periodic payment
$r$ is the interest rate in decimal form
$n$ is the number of times the interest is compounded per year
$t$ is the number of years

We know from our problem that the periodic payment is $50 and the number of years is 3, so $P=50$ and $t=3$ . To convert the interest rate to decimal form, we are going to divide the rate by 100%
$r= \frac{4}{100}$
$r=0.04$
Since the interest is compounded monthly, it is compounded 12 times per year; therefore, $n=12$ .
Lets replace the values in our formula:
$FV=P[ \frac{(1+ \frac{r}{n} )^{nt} -1}{ \frac{r}{n} } ]$
$FV=50[ \frac{(1+ \frac{0.04}{12} )^{(12)(3)} -1}{ \frac{0.04}{12} } ]$
$FV=1909.08$

We can conclude that after 3 years you will have $1909.08 in your account.

4 0

3 years ago

Read 2 more answers

What is the slope of the line shown below ?

ElenaW [278]

Answer:

4

Step-by-step explanation:

m=(y2-y1)/(x2-x1)

m=(6-(-2))/(3-1)

m=(6+2)/(2)

m=8/2

m=4

7 0

3 years ago