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3 years ago

Factor the expression completely -9.75 + 3.25x

Mathematics

1 answer:

makvit [3.9K]3 years ago

6 0

3.25*(x-3)

Just take out a 3.25

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Answer: its not showing up

Step-by-step explanation:

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3 years ago

.764 as a percent .

Nookie1986 [14]

.764 in percentage form is 76.4%

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2 years ago

Read 2 more answers

Between which two numbers is Negative 1.5 located on a number line? A number line going from negative 5 to positive 3 in increme

andrew-mc [135]

Answer:

negative 1.5 lies between -1 and -2

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2 years ago

a woman has $28,000. part is invested for one year in a certificate of deposit paying 7% interest, and the remaining amount in c

alexira [117]

Answer:

Amount invested at 7% = 16000

Amount invested at 9% = 12000

Step-by-step explanation:

Let x be the amount invested at 7% and y be the amount invested at 9%.

Since the total amount invested is $28000, therefore, we can set up the first equation as:

$x+y=28000$

Secondly, we are give that sum of two investments is $2200. Therefore, we can write the second equation as:

$0.07x+0.09y=2200$

Now we need to solve these two equations to get the values of x and y.

First of all, we multiply the second equation with 100 in order to get rid of decimal values.

$(0.07x+0.09y)*100=2200*100\\7x+9y=220000$

Let us use substitution method here. First of all we will solve for y from first equation and plug that into second equation.

$y=28000-x$

$7x+9(28000-x)=220000\\7x+252000-9x=220000\\-2x=-32000\\x=16000$

Therefore, amount invested at 7% is $16000 and amount invested at 9% is 28000-16000=$12000.

7 0

2 years ago

olchik [2.2K]

To solve this we are going to use the future value of annuity ordinary formula: $FV=P[ \frac{(1+ \frac{r}{n} )^{kt} -1}{ \frac{r}{n} } ]$
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
$k$ is the number of payments per year
$t$ is the number of years

We know for our problem that $P=6200$ and $t=5$ . To convert the interest rate to decimal form, we are going to divide the rate by 100%:
$r= \frac{6}{100} =0.06$
Since the deposit is made semiannually, it is made 2 times per year, so $k=2$ .
Since the type of the annuity is ordinary, payments are made at the end of each period, and we know that we have 2 periods, so $n=2$ .
Lets replace the values in our formula:

$FV=P[ \frac{(1+ \frac{r}{n} )^{kt} -1}{ \frac{r}{n} } ]$
$FV=6200[ \frac{(1+ \frac{0.06}{2} )^{(2)(5)} -1}{ \frac{0.06}{2} } ]$
$FV=71076.06$

We can conclude that the correct answer is <span>$71,076.06</span>

8 0

2 years ago