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Pani-rosa [81]
2 years ago
7

What is the value of v if 13v = 65

Mathematics
2 answers:
NemiM [27]2 years ago
6 0

Answer:

v=5

Explanation:

The equation is asking for multiplication (13 * v), and the opposite of multiplication is division. So if we divide 65 by 13, we find 5.

13 * 5 = 65

mrs_skeptik [129]2 years ago
5 0

Answer:

v = -5

Step-by-step explanation:

1. Pull out like factors :

  -13v - 65  =   -13 • (v + 5)

2. Solve :    -13   =  0

This equation has no solution.

A a non-zero constant never equals zero.

3. Solve  :    v+5 = 0

Subtract  5  from both sides of the equation :

                     v = -5

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Brian invests $10,000 in an account earning 4% interest, compounded annually for 10 years. Five years after Brian's initial inve
pentagon [3]

Answer:

Brian has $776 more account in his account than Chris.

Step-by-step explanation:

Compound interest Formula:

A=P(1+r)^t

I= A-P

A= Amount after t years

P= Initial amount

r= Rate of interest

t= Time in year

Given that,

Brian invests $10,000 in an account earning 4% interest, compounded annually for 10 years.

Here P = $10,000 , r= 4%=0.04, t=10 years

The amount in his account after 10 years is

A=10000(1+0.04)^{10}

   =$14802.44

  ≈$14802

Five years after Brian's investment,Chris invests $10,000 in an account earning 7% interest, compounded annually for 5 years.

Here P = $10,000 , r= 7%=0.07, t=5 years

The amount in his account after 5 years is

A=10000(1+0.07)^{5}

   =$14025.51

  ≈$14026

From the it is cleared that Brian has $(14802-14026)=$776 more account in his account than Chris.

6 0
2 years ago
G(t)= t-3 <br> h(x)= 3t-2 <br> find (g-h)(t)
Marina86 [1]

Answer:

g(t) - h(t) = -2t - 1

Step-by-step explanation:

g(t) - h(t) = t-3-3t+2

= -2t -1

6 0
3 years ago
Write the equation of the line that passes through (-6,0) and is parallel to the line y=5x-43
AVprozaik [17]

The equation of the line that passes through (-6,0) and is parallel to the line y = 5x - 43 in slope intercept is y = 5x + 30

<em><u>Solution:</u></em>

Given that line that passes through (-6, 0) and is parallel to the line y = 5x - 43

We have to find the equation of line

Let us first find slope of line having equation y = 5x - 43

<em><u>The slope intercept form of line is given as:</u></em>

y = mx + c  ------- eqn 1

Where "m" is the slope of line and "c" is the y - intercept

On comparing equation of line y = 5x - 43 with slope intercept form y = mx + c,

we get m = 5

Thus slope of given line is 5

We know that slopes of parallel lines are equal

Thus the slope of line parallel to given line is also 5

Now let us find equation of line having slope "5" and passes through (-6, 0)

Substitute m = 5 and (x, y) = (-6, 0) in eqn 1

y = mx + c

0 = 5(-6) + c

<h3>c = 30</h3>

<em><u>Thus the required equation is:</u></em>

Substitute c = 30 and m = 5 in eqn 1

y = 5x + 30

Thus the required equation of line is found

8 0
2 years ago
On a map, 3 cm represents 35 miles. What is the actual distance if two cities are 6.5 cm apart on the map?
Lina20 [59]

Answer:

75 miles

Step-by-step explanation:

35 times 2= is 70

so 6 cm is 70

plus 5 for the .5

so 70+5= 75

6 0
3 years ago
Suppose we want to choose 5 objects, without replacement, from 9 distinct objects. (a) How many ways can this be done, if the or
7nadin3 [17]

Answer:

a. 126

b. 15120

Step-by-step explanation:

5 chose 9 = 9 * 8 * 7 * 6 * 5/1/2/3/4/5 = 126

if order matters...

9*8*7*6*5 = 15120

3 0
2 years ago
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