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3 years ago

2 (x-1)+3x=3 what is the answer?

1 answer:

7 0

Distribute on the left
2x-2+3x=3

Combine like terms
5x-2=3

Add 2 to both sides
5x=5

Divide both sides by 5
x=1

Final answer: x=1

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a vat of milk has spilled on a tile floor. the milk flow can be expressed with the function r(t) = 4t, where t represents time i

salantis [7]

4t=r
a=pir^2
sub 4t for r
a=pi(4t)^2
a=pi16t^2
a(t)=16pi(t^2)

A. a(t)=16pi(t^2)

B. sub 4 for t
a(4)=16pi4^2
a(4)=16pi16
a(4)=16*16*3.14
a(4)=803.84 square units

A. a(t)=16pi(t^2)
B. 803.84 square units

4 0

3 years ago

Read 2 more answers

I have a building that measures 100’ x 120’. I need to fill it with people without having anyone be closer than 6’ apart. How ma

puteri [66]

Answer:

2000

Step-by-step explanation:

100 x 120 = 12000

12000 divided by 6 = 2000

7 0

3 years ago

Justify each step with an algebraic property. 16+x=12

lana [24]

-4 would be the correct answer to the problem

6 0

2 years ago

Read 2 more answers

Consider the following points on cartesian plane. A (1;2) BC3; 1) and CG-3; 4) prove that Points A, B and C are collinear.

Arlecino [84]

Step-by-step explanation:

Collinear points have the same gradient

find the gradient(slope) between AB first

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

Find the one for BC

$= \frac{4 - 1}{ - 3 - 3} \\ = \frac{3}{ - 6} \\ = \frac{ - 1}{2}$

Find the gradient between AC now

$= \frac{4 - 2}{ - 3 - 1} \\ = \frac{2}{ - 4} \\ = \frac{ - 1}{2}$

YOUR LAST STATEMENT NOW WILL BE

POINTS A,B AND C ARE COLLINEAR SINCE THE GRADIENTS BETWEEN THEM IS THE SAME!!!

5 0

1 year 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