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forsale [732]
3 years ago
8

Solve for x. 3x-r=r(-3+x)

Mathematics
1 answer:
Alexeev081 [22]3 years ago
7 0
3x-r=r (-3+x)
3x-r=-3r+xr
3x-r+r=-3r+xr+r
3x=-2r+xr
3x-xr=-2r+xr-xr
3x-xr=-2r
x (3-r)=-2r
x (3-r)/(3-r)=-2r/(3-r)
x=-2r/(3-r)
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Two trains, train A and train B, weigh a total of 526 tons. Train A is heavier than train B. The difference of their weights is
AnnZ [28]
Here is my explanation: (please leave questions if you need more help)
5 0
3 years ago
For p = $3000, r = 3.5%,and t = 5 years, Find the balance in an account When interest is compounded (a) quarterly, (b) monthly,a
MAVERICK [17]

Answer:

a) $3,571.02

b) $3,572.9

c) $3,573.74

Step-by-step explanation:

Data provided in the question:

p = $3000,

r = 3.5%,

t = 5 years

a) quarterly

number of periods in a year, n = 4

Interest rate per period = 3.5% ÷ 4 = 0.875%

Now,

A = p\times \left( 1 + \frac{r}{n} \right)^{\Large{n \cdot t}}

A = total amount

n = number of times compounded per year

on substituting the respective values, we get

A = 3000 × \left( 1 + \frac{ 0.035 }{ 4 } \right)^{\Large{ 4 \cdot 5 }}

A = 3000 × [/tex]\cdot { 1.00875 } ^ { 20 }[/tex]

A = 3000 × 1.19034

A = $3,571.02

b) monthly

number of periods in a year, n = 12

Now,

A = p\times \left( 1 + \frac{r}{n} \right)^{\Large{n \cdot t}}

on substituting the respective values, we get

A = 3000 × \left( 1 + \frac{ 0.035 }{ 12 } \right)^{\Large{ 12 \cdot 5 }}

A = 3000 × [/tex]\cdot { 1.002917} ^ { 60 }[/tex]

A = 3000 × 1.190967

A = $3,572.9

c) continuously

A = pe^{r\times t}

on substituting the respective values, we get

A = 3,000 × e^{0.035\times 5}

or

A = 3,000 × e^{0.175}

or

A = 3,000 × 1.1912

or

A = $3,573.74

5 0
3 years ago
Read 2 more answers
Rewrite each mixed number as a sum of two signed numbers<br><br> 3 1/5<br><br> -7 3/8
ICE Princess25 [194]

Answer: =-4\frac{7}{40}

Step-by-step explanation:

3\frac{1}{5}+\left(-7\frac{3}{8}\right)

=\frac{16}{5}+\left(-\frac{59}{8}\right)

\frac{16}{5}+\left(-\frac{59}{8}\right)=\frac{16}{5}-\frac{59}{8}

=\frac{128}{40}-\frac{295}{40}

=\frac{128-295}{40}

=\frac{-167}{40}

=-4\frac{7}{40}

3 0
3 years ago
Read 2 more answers
If an angle is bisected to form two new 10 degree angles, what was the measure of the original angle?
emmasim [6.3K]

Answer:

20 degrees

Step-by-step explanation:

Bisected means to cut or divide in half. After knowing this you should realize that the two new parts of the angle should be equal. They are both ten degrees, so to get the measure of the original angle add both of the sides together.

10+10=20

7 0
4 years ago
Dave has one $20 bill, three $10 bills, and the same number of $5 bills and
Lana71 [14]

The simplified expression for the total amount in dollars Dave has in his pocket is $(6n+50) and when n = 5 then he has $80.

According to the question,

We have the following information:

Dave has one $20 bill, three $10 bills, and the same number of $5 bills and $1 bills in his pocket.

The number of $5 and $1 bills are n.

a) So, we will have the following expression for the total money he has:

1*20+3*10+5n+n

20+30+5n+n

Now, adding the numbers together and the terms with the same variable together:

$(6n+50)

b) Now, when n = 5:

$(6*5+50)

$(30+50)

$80

Hence, the simplified expression for the total amount in dollars Dave has in his pocket is $(6n+50) and when n = 5 then he has $80.

To know more about simplified expression here

brainly.com/question/14817869

#SPJ1

3 0
1 year ago
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