Gabriel's family is investing $5,000 into two different bonds for college. One bond gave
an interest of 5% per year, and the other 3%. If the combined interest for the year was
$220, how much money was invested in each bond?

Last one or third one .

Note down:-

If the lines are parallel that means an equal slope but different y-intercepts, then the system has no solution. Then the correct option is D.

A connection between a number of variables results in a linear model when a graph is displayed. The variable will have a degree of one.

The linear equation is given as,

y = mx + c

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

The system solutions are as follows:

If the lines are parallel that means an equal slope but different y-intercepts, then the system has no solution. Then the correct option is D.

More about the linear equation link is given below.

https://brainly.com/question/11897796

#SPJ2

Answer: D) No. The graph fails the vertical line test.

Explanation:

We are able to draw a single vertical line that passes through more than one point on the red curve. For example, we could draw a vertical line through x = 5 and have it cross the red curve at (5,4) and (5,-4).

So this is one example where the graph fails the vertical line test. It passes this test when such a thing doesn't happen. In other words, a function is only possible if any x input leads to exactly one and only one y output.

In this case, x = 5 leads to multiple outputs y = 4 and y = -4 at the same time. There are other x values which this occurs as well (any x values such that x > 1). So this is why we don't have a function.

Answer:

As Doris Day said: Good morning to you

Answer 27/2

Step-by-step explanation:

[tex]f(x)=-x^3+5x\\F(x)=-\dfrac{x^4}{4} +\dfrac{5x^2}{2} \\F(2)=\dfrac{-16}{4}+\dfrac{20}{2} =6\\\\F(-1)=\dfrac{-1}{4} +\frac{5}{2} =\dfrac{9}{4} \\g(x)=\dfrac{3x^2}{2}+\dfrac{x}{2}-5\\\\G(x)=\dfrac{x^3}{2} +x^2-5x\\\\G(2)=4+1-10=-5\\\\G(-1)=\dfrac{-1}{2} +\dfrac{1}{4} +5=\dfrac{19}{4} \\\\\int\limits^2_{-1} {(f(x)-g(x))} \, dx =F(2)-G(2)-(F(-1)-G(-1))\\\\=11+\dfrac{5}{2} =\dfrac{27}{2}[/tex]

This question is solved using range and domain concepts. Doing this, it is found that:

--------------------------------------

--------------------------------------

Thus:

A similar question is given at https://brainly.com/question/18141895

Answer:

[tex] \tan(A + 45 \degree) - \tan(A - 45 \degree) \\ \\ = \frac{ \tan(A) + \tan(45 \degree) }{1 - \tan(A) \tan(45 \degree) } - \frac{ \tan(A) - \tan(45 \degree) }{1 + \tan(A) \tan(45 \degree) } \\ \\ [/tex]

but tan 45° is 1;

[tex] = \frac{ \tan(A) }{1 - \tan(A) } - \frac{ \tan(A) }{1 + \tan(A) } \\ \\ \frac{\tan(A) + { \tan }^{3} A + \tan(A) - { \tan}^{3} A}{1 - { \tan }^{2} A } \\ \\ = (\frac{2 \tan(A) }{1 - { \tan }^{2} A}) \\ \\ = \frac{2 \sin(A) }{ \cos(A) } \times { \sec }^{2} A \\ \\ = \frac{2}{ \cos(2A) } \\ \\ = 2 \sec(2A) [/tex]

Answer:

3

Step-by-step explanation:

Here's the rundown of values:

12=9

9=6

6=3

3rd value=3

*The values are created through going through the numerical process.

there are two solutions:

a) y = [tex]\frac{-6+2\sqrt{6} }{5}[/tex]

b) [tex]y = \frac{-6-2\sqrt{6} }{5}[/tex]

Answer:

it's A

Step-by-step explanation:

Trust me I got the question right on the quiz

Answer:

I did for you but I don't know you will understand my HANDWRITING or not .

:(

Answer:

We know that an isosceles triangle has 2 of its sides being equal

With R, being the midpoint of PS, we can say that

PR=RS

Noting that, with R as midpoint, we can conclude that RT is a straight line which divides angles TPR and TSR into 2 right angle triangles

Step-by-step explanation:

therefore angle at P is 45°. Angle at S also 45°

Therefore PT = TS

This is because T is 45 degrees as well as P which is also 45 degrees

angle in triangle PTS is 180 degrees

R is 90 degrees, P is 45 degrees and the whole of T is also 45 degrees(which has been split into 2)

Answer:

the answer must be 7/4 because

Step-by-step explanation:

1 3/4 4×1+3=7

Answer: rs 400 and 500

Step-by-step explanation:

8.18

Step-by-step explanation:

8.18

pow pom wyh oqhw uwhwn 8.18 ge wk

Answer:

37 Dimes, 29 Nickels

Step-by-step explanation:

x= dimes

66-x = nickels

.1 (x) = dimes

.05 (66-x) = nickels

Solve

3.3 + 0.5x = 5.15

Solve again then you come out with

x= 37

66 - 37 = 29

Answer:

33.33%

Step-by-step explanation:

Probability is a percentage.  To determine probability you would add all of the buttons together to equal 120 buttons.  Then you would divide the number of blue buttons by that total or 40/120 which equals 0.333333; this number in a percentage is 33.3333% (or roughly 1/3).  

Answer:

Step-by-step explanation:

To find the probability of blue buttons, divide the amount of blue buttons with the total buttons.

Hence, the probability of the button chosen is blue is 33.33%.

Answer:

3 GB over: $80 x GB over: $35+$15x

Step-by-step explanation:

First, 3 GB over is 3 times 15 plus 35, which equals 80. x GB over is x times 15 plus 35, hence the answer. Hope this helps!

For using 3GB of data more, she'll be charged $80.

a. Amount charged per month = $35

Amount charged for over-usage = $15 per gb.

Therefore, when she uses 3gb more, the amount charged will be:

= $35 + ($15 × 3)

= $35 + $45.

= $80

When she uses x gb more, the amount that she'll be charged will be:

= $35 + ($15 × x)

= $35 + 15x

= 35 + 15x

Read related link on:

https://brainly.com/question/23306305

Answer:

I guess this is the answer

Step-by-step explanation:

(x + y)²4x²y²

= [2xy(x + y)]²

= (2x²y²)²

Answer:

C.

Step-by-step explanation:

Answer:

97/4752

Step-by-step explanation:

So, this problem sounds hard but it is actually simple.

First, add

65/12 + 8/3 = 97/12

Next, subtract

65/12 - 8/3 = 33/12

Then, divide

97/12 ÷ 33/12 = 97/4752

Hope this helps! :)

9514 1404 393

Answer:

  see attached

Step-by-step explanation:

This is made slightly more difficult by the fact that the given polynomials are not in order of decreasing powers of x. So, you need to be careful what you're adding, to make sure the terms are "like".

__

Add: (-2x² +3x +4) +(x² -4x -5) = (-2+1)x² +(3-4)x +(4-5) = -x² -x -1

Opp: -(3x² -x +1) = 3x² +x -1

Sub: (x² +3x -4) -(-2x² +4x -3) = (1-(-2))x² +(3-4)x +(-4-(-3)) = 3x² -x -1

Answer:

a. convenience sample

Step-by-step explanation:

I guess it is correct

Answer:

0.45

Step-by-step explanation:

45%

=45÷100

=0.45 is decimal value

Answer:

come fast in English classhshshshdhhhdhhshdhdbb

shhshshsh

Answer:

jsjsjsisiwjwjsu8shdhsusuwhsguw81819w8uehr

It takes 0.57 seconds per copy and he made 6 copies.

6 + 0.57 = 6.57

He added 6 and 0.57 instead of multiplying.

The easiest way to figure this out would be to do the problem by ourselves:

0.57 · 6 = 3.42, so it will take about 3.5 seconds.

We can say that Jasper got a way different answer, so it must be something wrong with the way he multiplied. When we look through the answers and we see that rather than multiplying, Jasper added, so our answer is:

He added 6 and 0.57  instead of multiplying.

Answer:

Step-by-step explanation:

alphabet to represent numbers.

Answer:

x = 30

b = 30

a = 90

Step-by-step explanation:

So first let's find the 'X'

we already know one angle - 30 degrees

i think you should know the straight equals 180 so we minus 180 to 30

- 180 - 30 = 150

then we know there is 2x and 3x, which is unknown so in this we actually divide 150 with 5 cause 2 + 3 = 5, to get the x value

so x = 30

____________________________________________________

so you know the progress so I will write the answers now

x = 30

b = 30

a = 90

___

so just to check the answers I will add all the numbers to equal it to 360

30 + 90 + 60 + 30 + 60 + 90 = 360

Answer:

Step-by-step explanation:

30 + 2x + 3x = 180   {Straight line angles}

30 + 5x = 180     {Combine like terms}

5x = 180 - 30  {Subtract 30 from both sides}

5x = 150

x = 150/5           {divide both sides by 5}

x = 30

30 + 3x + a = 180  {Straight line angles}

30 + 3*30 + a  = 180

30 + 90 + a = 180

   120 +  a = 180      

{Subtract 120 from both sides}

             a = 180 - 120

             a = 60

b + 2b + a = 180  {Straight line angles}

 3b + a = 180

   3b + 60 = 180

       3b  = 180 - 60      {Subtract 60 from both sides}

      3b = 120

         b = 120/3

b = 40

Answer:

-5pi/9

Step-by-step explanation:

The conversion factor is pi/180

-100 degrees * pi/180 = -100/180 *pi =-10pi/18 = -5pi/9

Answer:

15 teachers on the trip

Step-by-step explanation:

Since it is c/t

The ratio is 14/3

How do we get from 14 to 70?

Multiply by 5

so multiply by 5 on 3 which is 15

So there are 15 teachers on the trip

Hope this helps!

Answer:

15 trucks

Step-by-step explanation:

If there are a total of 60 vehicles, and 1/4 of them are trucks, we can multiply 60 by 1/4 to get our answer. Or because 1/4 is split into fourths, we can divide 60 by 4 to also get our answer.

Hope this helps!

A function is decreasing if, reading from left to right, we can see that the graph of the function goes down.

Here we can't see the graph, but we have a brief description.

"the graph goes up until it reaches a maximum at (0, 5), then the graph reaches a relative minimum at (1, 4), then it goes up again"

Now, the graph was going up until it reached the maximum, so at that point, the graph starts going down.

The graph will go downwards until it reaches the minimum, at that point the graph starts increasing again.

So the graph only goes down between x = 0 and x = 1.

we can conclude that the interval on which the given function is decreasing is [0, 1]

If you want to learn more, you can read:

https://brainly.com/question/21287583