Laura borrowed $490 at 11% for 6 years. what was the total interest?

Answer:

∠ I = 39°, ∠ J = 51°, ∠ K = 90°

Step-by-step explanation:

The sum of the 3 angles in a triangle = 180°

Sum the3 angles and equate to 180

3x + 21 + 5x + 21 + 90 = 180, that is

8x + 132 = 180 ( subtract 132 from both sides )

8x = 48 ( divide both sides by 8 )

x = 6

Then

∠ I = 3x + 21 = 3(6) + 21 = 18 + 21 = 39°

∠ J = 5x + 21 = 5(6) + 21 = 30 + 21 = 51°

∠ K = 90°

Answer:

125, 20

Step-by-step explanation:

Answer:

1.95

Step-by-step explanation:

X= 10

2×10squared(10-5)/ 10×10

2×100-5/10×10

200-5/10×10

195/10×10

195/100

1.95

Answer:

Step-by-step explanation:

In triangle ADC,

b+50+60=180(sum of angles of triangle equals 180)

or,b=180-110

▪b=70

also,

In triangle ABD,

angleA = 30+50=80

now,

a+80+60=180(sum of angles of traingle equals 180)

or,a=180-140

▪a=40'

Ans.

Answer:

D. There is no solution because 9 ≠ -3.

Step-by-step explanation:

For finding out the statement let's check it ourselves

x + 9 - 4x = - 3x - 3

-3x + 9 = - 3x - 3

9 ≠ - 3

So there is no solution for the equation.

hope it helps :)❤

Answer:

x=2

Step-by-step explanation:

Answer:

169

Step-by-step explanation:

13*13=169

Answer:

169

Step-by-step explanation:

length x width = area

since it is a square, all sides are equal.

13 x 13 = 169

Answer: 12

Step-by-step explanation: 96-84=12

I dont really know how i did it I just did.

Answer:

y=-3/2x-15

Step-by-step explanation:

The correct statement of function is the function is continuous.

In mathematics, a function is an expression, rule, or law that establishes the relationship between an independent variable and a dependent variable. In mathematics, functions exist everywhere, and they are crucial for constructing physical links in the sciences.

As, functions approach the same value as x approaches 0.

Now, -x² +4x +1 at x= 2 we get

= -4 + 8 +1 = 5

and, 1/2x + 3 = 1+3= 4

So, we reject the statement.

Now, as x increases without bound,

1/2x +3 increases with bound.

Therefore the statement B is true statement.

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Answer:

x > -6.

Step-by-step explanation:

16x - 33x < -12x + 30

Add 12x to both sides:

16x - 33x + 12x < 30

-17x + 12x < 30

-5x < 30

x > 30/-5

x > -6

(Note the inequality signs flips because we are dividing by negative 5).

Answer: x=0

Step-by-step explanation: This is number 9

12=-4(-6x-3)

-4(-6x-3)=12

-4(-6x-3)/-4=12/-4

-6x-3=-3

-6x-3+3=-3+3

-6x/-6=0/-6

x=0

The solution is: As x approaches negative infinity, f(x) approaches

Positive; Negative.

Function, in mathematics, an expression, rule, or law that defines a relationship between one variable (the independent variable) and another variable.

here, we have,

According to the question, the following information is given

G(x) = |x - 2| - 3

Based on the above information

As it can be seen that there is a modulus that means if there is any negative value that it can become a positive value.

Therefore the answer is positive and negative.

hence, The solution is: As x approaches negative infinity, f(x) approaches

Positive; Negative.

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Answer:

arc WVY = 265.4°

Step-by-step explanation:

arc XY = arc WX                because ZY = WZ

360° - 47.3° - 47.3° = 265.4°

Answer: [tex]2\sqrt{34}[/tex] or, as a decimal, 11.7.

Step-by-Step Explanation:

1. Use the distance formula and substitute the values of the two ordered pairs.

[tex]\sqrt{(2-(-4))^{2}+(2-(-8))^{2}}[/tex]...

2. Multiply -1 by -4.

[tex]\sqrt{(2+4)^2+(2-(-8))^2\\}[/tex] ...

3. Add 2 and 4.

4. Raise 6 to the power of 2.

[tex]\sqrt{36+(2-(-8))^2}[/tex]...

5. Multiply -1 by -8.

6. Add 2 and 8.

7. Raise 10 to the power of 2.

[tex]\sqrt{36+100}[/tex] ...

8. Add 100 and 36.

9. Rewrite 136 as 2² · 34.

10. After factoring 4 out of 136 and rewriting as ...  [tex]\sqrt{2^{2}(34)}[/tex], pull out terms from under the radical. It should look like this now: [tex]2\sqrt{34}[/tex]. That is your final answer!!

Hope that helps! Note: the unrounded decimal is 11.66190378.

(P.S. Can I have Brainliest please? Once someone else answers, of course...)

Answer:

x = 10

y = 50

Step-by-step explanation:

9x - 70 = x + 10

8x - 70 = 10

8x = 80

x = 10

3y - 60 = 90

3y = 150

y = 50

The answer is:

x- 10

y- 50

Answer:

.

Step-by-step explanation:

.

Answer:

i belive its x^2 + y^2 = 8

Step-by-step explanation:

Answer:

the second one is correct

Step-by-step explanation:

Answer:

15.4 I did this on delta math

It would take approximately 15.4 years, to the nearest tenth of a year, for the value of the account to reach $700 with continuous compounding.

The formula for calculating the future value (FV) of an investment with continuous compounding is:

[tex]FV = Pe^{rt}[/tex]

Where P is the initial principal, r is the annual interest rate (expressed as a decimal), t is the time period (in years), and e is the mathematical constant e (approximately 2.71828).

In this case, we have P = $350, r = 4.5% = 0.045, and we want to find the time t when the FV is $700. Substituting these values into the formula, we get:

[tex]700 = 350e^{0.045t}[/tex]

Dividing both sides by $350, we get:

[tex]2 = e^{0.045t}[/tex]

Taking the natural logarithm of both sides, we get:

[tex]ln(2) = ln\times e^{0.045t}[/tex]

Using the properties of logarithms, we can simplify this to:

ln(2) = 0.045t ln(e)

Since ln(e) = 1, we can simplify further to:

ln(2) = 0.045t

Finally, solving for t, we get:

t = ln(2) / 0.045 ≈ 15.4

Therefore, it would take approximately 15.4 years, to the nearest tenth of a year, for the value of the account to reach $700 with continuous compounding.

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Answer:

92

Step-by-step explanation:

Because 92 occurs the most and some of the numbers aren't even there.

Answer:

[tex]-y\sqrt{3}[/tex]

Step-by-step explanation:

Under the radical there is a perfect square, one can take the perfect square out, and write it by its square root. The result of taking the principal square root is always positive, but it is given that the perfect square factor is negative, thus, one must multiply the square root by the negative sign to ensure that the result is positive.

Answer:

[tex]-y\sqrt{3}[/tex]

Step-by-step explanation:

Answer:

12

Step-by-step explanation:

12(5-4)=96

60-48=12 means it's not five

12(9-4)=96

108-48=60 means it's not 9

12(12-4)=60

144-48=96 so answer is 12

this doesn't make sense

Answer:

A gotchu Just took the test got 100

Step-by-step explanation:

B

Answer:

The answer is B

Step-by-step explanation:

As it is very close to one because all the points are close together

Answer:

8x^2 + 18x - 35.

Step-by-step explanation:

Area = (4x - 5)(2x + 7)

= 8x^2 + 28x - 10x - 35

= 8x^2 + 18x - 35.

Answer:

d

Step-by-step explanation:

Since the triangle is equilateral then the 3 sides are congruent, then

2x = 6 ( divide both sides by 2 )

x = 3

and

3y = 6 ( divide both sides by 3 )

y = 2

Thus x = 3 and y = 2 → d

Answer:

Number of multiple-choice questions = x = 35 questions

Number of open-ended questions = y = 3 questions

Step-by-step explanation:

Let

Number of multiple-choice questions = x

Number of open-ended questions = y

x + y = 38 (1)

4x + 20y = 200 (2)

From (1)

x = 38 - y

Substitute x = 38 - y into (2)

4x + 20y = 200

4(38 - y) + 20y = 200

152 - 4y + 20y = 200

- 4y + 20y = 200 - 152

16y = 48

y = 48/16

y = 3

Substitute y = 3 into (1)

x + y = 38

x + 3 = 38

x = 38 - 3

x = 35

Number of multiple-choice questions = x = 35 questions

Number of open-ended questions = y = 3 questions