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liq [111]
3 years ago
6

Martin has $2000 in a savings account, and $200 invested in the stock market. He owns a new laptop worth $1500, he has 12,000 le

ft to pay on his student loans, and he has $600 outstanding credit card debt. What is Martin's total net worth?
Mathematics
2 answers:
Alexxandr [17]3 years ago
5 0
The net worth would be -7700. I added all the things Martin has the. Subtracted by 12000 because of his student loans.
Assoli18 [71]3 years ago
5 0

Answer:

$-8,900

Step-by-step explanation:

(savings + laptop + stock market) - (credit card debt + student loans)

(2,000+1,500+200)-(600+12,000)= -8,900

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Is this a 3-4th fraction
mezya [45]

Answer:

The clock hand made a 90 degree turn. It is not a 3/4 fraction.

7 0
3 years ago
Let u,v,wu,v,w be three linearly independent vectors in R7R7. Determine a value of kk, k=k= , so that the set S={u−3v,v−2w,w−ku}
11Alexandr11 [23.1K]

Answer:

1/6

Step-by-step explanation:

For a set of vectors a, b and c to be linearly dependent, the linear combination of the set of vectors must be zero.

C1a + C2b + C3c = 0

From the question, we are given the set S={u−3v,v−2w,w−ku}, the corresponding vectors are a(0, -3, 1), b(-2,1,0) and c(1,0,-k)

The values in parenthesis are the ccoefficients of w, v and u respectively.

On writing this vector as a linear combination, we will have;

C1(0, -3, 1) + C2(-2,1,0) + C3(1,0,-k) = (0,0,0)

0-2C2+C3 = 0........ 1

-3C1+C2 = 0 ........... 2

C1-kC3 = 0 ….......... 3

From equation 2, 3C1 = C2

Substituting into 1, -2(3C1)+C3 = 0

-6C1+C3 = 0

-6C1 = -C3

6C1 = C3.…..4

Substitute 4 into 3 to have

C1-k(6C1) = 0

C1 = k6C1

6k = 1

k = 1/6

Hence the value of k for the set of vectors to be linearly dependent is 1/6

6 0
2 years ago
There is a a circle whose circumference is 34.54 cm.
Naily [24]

Answer:

\huge\boxed{Diameter=11cm}

Step-by-step explanation:

Important information:

Circumference of a circle= \pi*diameter

Method:

To work out the diameter, we would need to divide the circumference of 34.54 by pi, which in this case is 3.14, this gives us 11cm. This is because we are simply rearanging the formula of the circumference of a circle to make the diameter the subject.

Step By Step:

1) Rearange the formula to make the diameter the subject.

diameter=\frac{circumference}{\pi}

2) Divide 34.54 by 3.14(\pi).

34.54/3.14=11cm

5 0
2 years ago
An isosceles triangle with equal sides of 5 inches and a base of 6 inches is inscribed in a circle. What is the radius, in inche
nikklg [1K]
Wow this is a doozy! First you have to figure out what is it you are looking for? If you make a dot in the center of the triangle (which is also the center of the circle) and draw a line from the center to one of the vertices of the triangle you have the radius of the triangle and also of the circle. If you draw all 3 radii from the triangle's center to its vertices, you see you have created 3 triangles within that one triangle.  The trick here is to figure out what your triangle measures are as far as angles go.  If we take the interior measures of those 3 triangles, we get that each one has a measure of 120 (360/3=120). So that's one of your angles, the one across from the side measuring 6. Because of the Isosceles Triangle theorem, we know that the 2 base angles have the same measure because the sides are the same. Subtracting 120 from 180 gives you 60 which, divided in half, makes each of those remaining angles measure 30 degrees. So if we extract that one triangle from the big one, we have a triangle with angles that measure 30-30-120, with the base measuring 6 and each of the other sides measuring 5. If we then split that triangle into 2 right triangles, we have one right triangle with measures 30-60-90. Dropping that altitude to create 2 right triangles not only split the 120 degree angle at the top in half, it also split the base side of 6 in half. So our right triangle has a base of 3 and we are looking for the hypotenuse of that right triangle.  WE have to use right triangle trig for that. Since we have the top angle of 60 and the base of 3, we can use sin60=3/x.  Solving for x we have x=3/sin60 which gives us an x value of 3.5 inches rounded from 3.464. I'm not sure what you mean by a mixed number unless you mean a decimal, but that's the radius of that circle.
6 0
3 years ago
7(8+2) = 7(8)+7(2). This is a example of the ______ property of multiplication
ryzh [129]

Answer:

Distributive

Step-by-step explanation:

In any problem with a form of A(b+c) you are distributing the A to both b and c

As you can see in your example, you are distributing the 7 to both the 8 and the two

If you were to solve this problem the final answer would be 70

The property is Distributive

6 0
3 years ago
Read 2 more answers
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