Lydia has half of her investment in stock paying a 7% dividend and the other half in a stock paying 13% interest. If her total annual interest is $410, how much does she have invested?

Answer:

A. tangent

Step-by-step explanation:

Hi there!

Tangent circles are circles that intersect (or "touch") at exactly one point. These circles appear to have this characteristic.

I hope this helps!

Answer:

Not a function

Step-by-step explanation:

Since  x  =  1  produces  y = 3  and  y  = 4 , the relation is not a function.

( − 2 , − 5) , ( − 1 , − 3 ) , ( 0 , 0 ) , ( 1 , 3 ) , ( 1 , 4 )

The domain cannot be the same value.

a)3-2=1 b)4-2=2 c)8-2=6 d)7-4=3

Question incomplete please add the diagram

Answer:

Step-by-step explanation:

i don't understand this language but i think you want to simplify  it.

[tex]\frac{3x-3\sqrt{x} -3}{x+\sqrt{x} -2} -\frac{\sqrt{x} +1}{\sqrt{x} +2} +\frac{\sqrt{x} -2}{1-\sqrt{x} } \\=\frac{3x-3\sqrt{x} -3}{x+2\sqrt{x} -\sqrt{x} -2} -\frac{\sqrt{x} +1}{\sqrt{x} +2} -\frac{\sqrt{x} -2}{\sqrt{x} -1} \\=\frac{3x-3\sqrt{x} -3}{\sqrt{x} (\sqrt{x} +2)-1(\sqrt{x} +2)} -\frac{(\sqrt{x} +1)(\sqrt{x} -1)+(\sqrt{x} +2)(\sqrt{x} -2)}{(\sqrt{x} +2)(\sqrt{x} -1)} \\=\frac{3x-3\sqrt{x} -3}{(\sqrt{x} +2)(\sqrt{x} -1)} -\frac{(x-1)+(x-2)}{(\sqrt{x} +2)(\sqrt{x} -1)} \\[/tex]

[tex]=\frac{3x-3\sqrt{x} -3-2x+3}{(\sqrt{x} +2)(\sqrt{x} -1)} \\=\frac{x-3\sqrt{x} }{(\sqrt{x} +2)(\sqrt{x} -1)}[/tex]

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Explanation:

The table headers will look like choice A or choice C. Notice that we have simple yes or no questions along either the row or column labels; also, the labels are consistent. Choice B can be ruled out because the labels aren't consistent (or don't match up). Choice D is overcomplicated so it can be ruled out also.

We're told that 35 students play an instrument. That means 35 goes at the end of the "plays instrument" row, in the "total" column.

This is enough to see that choice A is the final answer

Furthermore, 30 students are in a band. So we have "30" at the bottom of the "band" column, and in the "total" row. The same applies to the 30 people not in band.

Answer:

x = 24.9

Step-by-step explanation:

Since this is a right triangle, we can use trig functions

cos theta = adj / hyp

cos 43 = x /34

34 cos 43 = x

x=24.86602

To the nearest tenth

x = 24.9

Answer:

The length of the third side is 7.81 inches and the perimeter of the triangle is about 18.81 inches

Step-by-step explanation:

Answer:

Step-by-step explanation:

1 milli liter = 0.135 grams

182.8 ml = 0.135 * 182.8 = 24.678 grams

Answer:

24.678

Step-by-step explanation:

Hope this helps :)

Answer:

the graph will be the parent function : |x|, but shifted down by 4 units

Step-by-step explanation:

===========================================

Explanation:

There are a few approaches. Here's one way to solve.

Let d be the common difference between the terms.

We add d to each term of this arithmetic sequence to get the next term.

Focusing on the second equation, we can solve for d like so

m+d = 12

d = 12-m

This is then plugged into the third equation

n = m+2d

n = m+2(12-m)

n = m+24-2m

n = 24-m

Therefore,

m+n = m+(24-m) = 24

It turns out that it doesn't matter what m and n are because m+n is always equal to 24 in this case.

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A more concrete example:

Let's say m = 2. We won't set up n just yet but we'll be able to compute it fairly soon.

Since m = 2, this means d = 12-m = 12-2 = 10. This is the gap between adjacent or neighboring terms.

If d = 10, then the third term must be n = 12+d = 12+10 = 22

We can then see that m+n = 2+22 = 24

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I'll do another example:

m = 5

d = 12-m = 12-5 = 7

n = 12+d = 7 = 19

m+n = 5+19 = 24

Whenever in doubt, or if you get stuck, it helps to come up with actual numeric values to hopefully clear things up.

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An alternative way to get the answer:

Let's try to determine what m+n is actually saying. We have 12 right in the middle of the first term (m) and third term (n). Because the gap between the numbers is the same (that being d), we know that 12 is the midpoint of m and n. It might help to draw out a number line to see what's going on.

The midpoint of m and n is (m+n)/2

Set this equal to 12 and isolate the "m+n"

(firstTerm+thirdTerm)/2 = second term

(m+n)/2 = 12

m+n = 2*12

m+n = 24

So in general, if the first three terms of the arithmetic sequence are m, k, n, then m+n = 2k.

Answer:

1.732 is the value of cos C

Answer:

none of these

Step-by-step explanation:

Since this is a right triangle, we can use trig functions

cos theta = adj/ hyp

cos C = 4 sqrt(3)/ 5

cos C = 1.38564

Answer:

Please find attached the drawing of quadrilateral KLMN created with MS Whiteboard using the Ink to Shape command

(a) Two pairs of opposite sides are [tex]\overline {KN}[/tex], [tex]\overline {LM}[/tex] and [tex]\overline {KL}[/tex], [tex]\overline {NM}[/tex]

(b) Two pairs of opposite angles are ∠LKN, ∠LMN, and ∠KLM and ∠KNM

(c) Two pairs of adjacent sides are [tex]\overline {KN}[/tex], [tex]\overline {NM}[/tex] and [tex]\overline {KL}[/tex], [tex]\overline {LM}[/tex]

(d) Two pairs of adjacent angles are ∠LKN, ∠KLM and ∠LMN, ∠KNM

Step-by-step explanation:

Answer:

A

Step-by-step explanation:

b/ of shaded region can make to closed inequality & it's not closed to make open inequality.

Answer:

[tex] \sin(45) = \frac{o}{h} \\ 0.7 = \frac{x}{18 \sqrt{2} } \\ 0.7 \times 18 \sqrt{2} = x \\ 0.7 \times 25.45 = x \\ 17.8 = x[/tex]

[tex] {x}^{2} + {y}^{2} =( 18 \sqrt{2} ) ^{2} \\ {17.8}^{2} + {y}^{2} = 648 \\ 316.84 + {y}^{2} = 648 \\ {y}^{2} = 648 - 316.84 \\ {y}^{2} = 331.16 \\ y = 18.19[/tex]

Answer:

aman's son's age = 20

aman's age = 40

Step-by-step explanation:

let aman's son's age be x

aman's age = 2x

2x+5+x+5 = 70

3x+10=70

3x = 60

x = 20

2x = 40

Answer:

6

Step-by-step explanation:

To find the mean you need to add up all the number & then divide it by the total number of numbers.

7+6+7+6+6+7+6+4+5= 54/9 = 6

Answer from Gauthmath

Answer:

6

Step-by-step explanation:

To get the mean, you must add all numbers and divide it by how many digits you have. So 54 (Sum of all numbers) divide by 9 (9 digits) is 6

=========================================================

Explanation:

The rule we use is

[tex]\Large a^{m/n} = \sqrt[n]{a^m} = \left(\sqrt[n]{a}\right)^m[/tex]

where 'a' is the base, m stays in the role of the exponent, and n plays the role of the root index (eg: n = 3 is a cube root, n = 4 is a fourth root, and so on).

So for instance,

[tex]\Large 2^{3/4} = \sqrt[4]{2^3} = \left(\sqrt[4]{2}\right)^3[/tex]

or in this case,

[tex]\Large t^{5/8} = \sqrt[8]{t^5} = \left(\sqrt[8]{t}\right)^5[/tex]

Answer:

there are relationship between sides of two triangle

Step-by-step explanation:

if 2 multiply by 2 and it new form 4 you should multiply 2 to all side of first triangle so this means 1*2 f=2 and b*2=6 b= 3

Answer:

hello,

answer 2

Step-by-step explanation:

[tex]I\ note\ Log\ ,log_{10}\\\\4*Log(2)-Log(48)+Log(300)\\\\=4*Log(2)-Log(3*2^4)+Log(3*100)\\\\=4Log(2)-Log(3)-4Log(2)+Log(3)+2*Log(10)\\\\=2*1\\\\=2\\[/tex]

Answer:

the answer is easy  

number 2 is the answer for this question  

Answer:

26

Step-by-step explanation:

Let x = the third angle in the triangle

x = 102 because they are vertical angles

The sum of the angles in the triangle are 180

b+2b+102 =180

3b+102 =180

3b = 180-102

3b = 78

Divide by 3

3b/3 = 78/3

b = 26

Answer:

Its is 26 aka E

Step-by-step explanation:

So we know that a triangle has 180 degrees in total. So we know one side is 102 degrees. 180-102=78. we can do 78 divide by 3 since there is 3b's in total. 78/3=26. Therefore, it is 26 which is E. I hope this helped ^^.

Answer:

2

Step-by-step explanation:

x-2x÷2=20

x-x=20

0=30

no solution

Answer:

c

Step-by-step explanation:

just look at 11 1/4, which is equals to 11 2/8. she recorded 3, and c is the only one which corresponds :) lmk if im wrong tho, the picture is kind of blurry

Answer:

Step-by-step 12explanation:

12

Answer:

Nhân đa thức đối xứng

(2[tex]\sqrt{3}[/tex] -4)/([tex]\sqrt{3}[/tex] -1) + (2[tex]\sqrt{2}[/tex] -1)/([tex]\sqrt{2}[/tex] -1) - (1+[tex]\sqrt{6}[/tex] )/([tex]\sqrt{2}[/tex] +3)

=(2[tex]\sqrt{3}[/tex] -4)([tex]\sqrt{3}[/tex] +1)/([tex]\sqrt{3}[/tex] -1)([tex]\sqrt{3}[/tex] +1) + (2[tex]\sqrt{2}[/tex] -1)([tex]\sqrt{2}[/tex] +1)/([tex]\sqrt{2}[/tex] -1)([tex]\sqrt{2}[/tex] +1) - (1+[tex]\sqrt{6}[/tex] )([tex]\sqrt{2}[/tex] -3)/([tex]\sqrt{2}[/tex] +3)([tex]\sqrt{2}[/tex] -3)

=3-[tex]\sqrt{3}[/tex] -2+4+[tex]\sqrt{2}[/tex] -1 +([tex]\sqrt{2}[/tex] -3+2[tex]\sqrt{3}[/tex] -3[tex]\sqrt{6}[/tex] )/7

= 2.900712176

Step-by-step explanation:

Answer:

B

Step-by-step explanation:

Answer:

Step-by-step explanation:

Cross section is the isosceles trapezoid.

Area of trapezoid:

We have one of the bases and the height.

Let the difference of the base lengths is x.

We have:

The area is:

Answer:

Step-by-step explanation:

Use the formula to find the z-score, then go to the table that will give you the probability that the value is less than this z-score.

[tex]z=\frac{53-50}{3}=1[/tex]

The probability that the value lies to the left of 1 on a standard bell curve is 84.1345%, or 84%, the third choice down.

The value of  P(x≤53) is 0.84, the correct option is C.

Probability refers to a possibility that deals with the occurrence of random events.

The probability of all the events occurring need to be 1.

The formula of probability is defined as the ratio of a number of favorable outcomes to the total number of outcomes.

P(E) = Number of favorable outcomes / total number of outcomes

We are given that;

Mean=50

Now,

To find P(x≤53), you can use a normal distribution calculator1234 or a normal distribution table. You need to convert the raw score of 53 into a standard score (or z-score) by using the formula:

z = (x - μ) / σ

where x is the raw score, μ is the mean, and σ is the standard deviation. In this case, x = 53, μ = 50, and σ = 3. So,

z = (53 - 50) / 3

z = 1

Then, you can enter the z-score and the mean and standard deviation of the normal distribution into the calculator or look up the z-score in the table. The calculator or table will give you the cumulative probability of getting a z-score less than or equal to 1. This is the same as P(x≤53).

Therefore, by probability the answer will be 0.84.

Learn more about probability here;

https://brainly.com/question/9326835

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