maria wanted to invest $10,000 at the bank. she invested part of her money in a cd account paying 2.1% simple interest and invest the rest of her money in a checking account paying 1.5% simple interest. After 1 year, her interest income was $195. How much did Maria invest in each account

Answer:

X=20 3x=60

Step-by-step explanation:

a straight line is 180

180-100=80

4x=80

x=20

We can create a equation to solve for x here.

We will use the following equation:

How to solve it step-by-step

[tex]100 + 3x + x = 180\\\\100 + 4x = 180\\\\4x = 80\\\\x = 20[/tex]

Answer:

um.. ok    the answer is 10 remainder 2

Step-by-step explanation:

5 goes into 52

10 times

Answer:

10.4

Step-by-step explanation:

Answer:

x=7

Step-by-step explanation:

28/4=7 or 4*7=28. you just multiply or divide to find your answer

Answer: 145

Step-by-step explanation:

145 degrees

The measure of angle ∠2 in the triangle is 145.

Option D is the correct answer.

We have,

From the figure,

The s and t lines are parallel.

The l and m lines are parallel.

Now,

∠1 and ∠a are corresponding angles.

∠b and ∠a are corresponding angles.

This means,

∠1 = ∠a = ∠b = 35

Now,

∠2 and ∠b add up to a straight angle.

This means,

∠2 + ∠b = 180

∠2 + 35 = 180

∠2 = 180 - 35

∠2 = 145

Thus,

The measure of angle ∠2 is 145.

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Answer:

105cm3

Step-by-step explanation:

subtract 5/7- 1/3

8/21=40cm3

21/21=105cm3=total volume

Answer:

5

Step-by-step explanation:

Answer:

79 degrees

Step-by-step explanation:

Quadrilaterals have a total of 360 degrees. They already gave you three of them so you just have to add all the given degrees and subtract it by 360. 101+124+56=281 ; 360-281=79

Answer:

Step-by-step explanation:

It will fit in the space but it won't cover the entire space. the area is 48m2, but the patio in question will cover 43.75 of the 48m2. Also, it stated that the rectangular space is 3 times as long, and the patio is 3.57x as long as the width. So yes, it will fit, but it will not be a picture perfect fit, there will be some obscenities.

Step-by-step explanation:

Let length of space be lm and width be wm.

l = 3w --(1)

lw = 48 --(2)

sub (1) into (2):

3w(w) = 48

3w^2 = 48

w^2 = 16

w = ± 4 (rej -4 since w > 0)

when w = 4, l = 3(4) = 12

Since dimensions of the patio is 3.5m by 12.5m, and the dimensions of the space is 4m by 12m it does not fit

This is a topic known as simultaneous equations. If you would like to find out more / know when and how to use it, you can check out my Instagram page (learntionary)

Answer: 3 times a number can be written as 3x.

Five less than 3x means you must subtract 5 from 3x.

the word "is" means equals,

so 3x-5=10

Step-by-step explanation:

since it is given that 3 times a number less than five is 1

since it is given that 3 times a number less than five is 1 getting equation:- 3x-5=1

since it is given that 3 times a number less than five is 1 getting equation:- 3x-5=1 x=6/3

since it is given that 3 times a number less than five is 1 getting equation:- 3x-5=1 x=6/3 x=2

Answer:

350 x 15 = 5250, or in Other words it takes 15 hours to for 5250 buttons to be manufactured.

Step-by-step explanation:

Answer:

20

I hope this helps!

Answer:

D) (1,1)

Step-by-step explanation:

You can find the solution by plugging the x-value of each coordinate into the equation. It will be a solution if the y-value of the equation equals the y-value of the coordinate.

For example:

y = 3x -2

y = 3(1) - 2

y = 3-2

y = 1

1 = 1

(1, 1) are the coordinates that are on the given line.

A pair of numbers called coordinates are used to locate a point or a form in a two-dimensional plane. The x-coordinate and the y-coordinate are two numbers that define a point's location on a 2D plane.

Given a equation y = 3x -2

To find which coordinates will satisfy the equation:

For coordinates (2, 0)

at x = 2, y should be zero

y = 3 * 2 -2

y = 4

Not satisfied

For coordinates(-3, 0)

at x = -3, y should be 0

y = 3 * -3 - 2

y = -9 -2

y = -11

Not satisfied

For coordinates(0, 2 )

at x = 0, y should be 2

y = 3*0 -2

y = -2

Not satisfied

For coordinates(1, 1)

at x = 1, y should be 1

Y = 3*1 - 2

y = 3 - 2

y = 1

satisfied

Therefore, (1, 1) are the coordinates that are on the given line.

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Answer:

0 I think because when you plug y in and combine like terms, you get 7x=0

Answer:

(I'm not sure what you're asking but I believe you're asking for the coordinate where they intersect!)

The lines intersect at (0, 4)

Step-by-step explanation:

Question:

12x-5y=-20

y=x+4

1) Simplify the first equation!

12x-5y=-20

Move 12x to the other side (remember when you move numbers to the opposite side of the equation, it makes them negative) to isolate y!

-5y=-20-12x

Divide all numbers by -5 to just get the variable y

y=4+12/5x

2) Solve

I'm going to be solving by substitution since I like this method the best!

y=4+12/5x

y=x+4

1) Set the equations equal to another (you'll be replacing the variable of y for an equation)

x+4 will be replacing y of the other equation

x+4 = 4+12/5x

2) Simplify

Subtract x on both sides

x-x + 4 = 4+ 12/5x-x

4=4+7/5x

Subtract 4 on both sides

0=7/5x

x is equal to 0!

3) Find y

1) Set x equal to 0 in an equation (I'm doing y=x+4 because it's easier!)

y=x+4

y=0+4

2) Simplify

y=4

Answer:

(0, 4)

Answer:

Step-by-step explanation:

the students that are in the survey are in it because they like the subject, rather than picking students from both types of groups, the ones that aren't doing remote learning and the ones that are doing remote learning.

Bias occurs when a particular portion of the population is given more weight or have a higher priority during sample selection which in turn affects the outcome and result of our result as it won't be representative of the population. The type of bias introduced in the scenarios above are :

Selection bias occurs when only a particular faction of the population is used rather than the entire population during sample selection. Rather than making selection from the entire students, only those who signed for remote learning were sampled.

Non - response bias occurs when a large portion of the selected sample fail to participate in a survey. With only 28% response and 72% non - responsive. Non - response bias has creeped in.

Undercoverage bias is usually associated with convenience sampling as the selection made might fail to randomly cover the entire population.

Hence, selection, non - response and Undercoverage bias are present in the selection made by the principal.

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Answer:

always

Step-by-step explanation:

if something parallel then it never touch each other and are opposite of each other

Answer:

(2,0)

Step-by-step explanation:

On the x-axis, the point is at 2. The point has a y-value of 0, as it's on the x-axis.

Answer:

-Noah could buy 10 tacos for $15.

-Jada's tacos were not the same price as Noah's tacos.

Step-by-step explanation:

You can use a rule of three to find the amount of tacos that Noah could buy with $15:

$6  →  4

$15 →  x

x=(15*4)/6=10

At this rate, Noah could buy 10 tacos for $15.

Now, to find out if Jada's tacos were the same price as Noah's tacos, you have to find the price per taco in each case by dividing the amount paid by the number of tacos bought:

Noah: 15/10=1.5

Jada: 72/50=1.44

According to this, Jada's tacos were not the same price as Noah's tacos.

Answer:

Step-by-step explanation:

722222

Answer:

136 r 13

Step-by-step explanation:

divide the numbers using long division:

         1 3 6

   __________

18 | 2 4 6 1

    - 1 8

     ___

         6 6

        - 54

        _____

           1 2  1

        -  1 0 8

           _____

               1 3    

So 2461 / 18 is 136, remainder 13

Responder:

2,40

Explicación paso a paso:

Dado que:

Dejar :

Tomate = t

Cebolla = n

(2 kilo de t) + (1 kilo de n) = 8.40

(1 kilo de t) + (2 kilo de n) = 7.80

2t + n = 8,40 - - (1)

t + 2n = 7,80 - - (2)

De (2);

t = 7,80 - 2n

Ponga t = 7.80 - 2n en (1)

2 (7,80 - 2n) + n = 8,40

15,6 - 4n + n = 8,40

15,6 - 3n = 8,40

-3n = 8,40 - 15,6

-3n = - 7,2

n = 2,4

t = 7,80 - 2 (2,40)

t = 7,80 - 4,80

t = 3

Por lo tanto, el costo de 1 kilo de cebolla es 2,40

Answer: 11 percent

Step-by-step explanation:

Answer:

24%

Step-by-step explanation:

Answer:

I think it would be y + 6 = x + 3

Step-by-step explanation:

Because they both have to be positive because the points are positive. Also the slope has to be 1 so x cannot have a number with it or else it changes the value.

I would say it is 1)y + 6 = x + 3 but I am not no genius

Answer:

The x intercept is (4,0) and the y intercept is (0,-7)

Step-by-step explanation:

Answer:

Step-by-step explanation:

The x-intercept of a line is when the y-coordinate is 0. To find that point on this line, we first want to rearrange the equation into the form

[tex]y = mx + b[/tex]

we are given

[tex]14x - 8y = 56\\so, \\14x - 56 = 8y\\\frac{14x}{8} - \frac{56}{8} = \frac{8y}{8} \\y = \frac{7}{4}(x) - 7[/tex]

now, we can set y to 0 and solve

[tex]\frac{7}{4}(x) = 7\\7x = 28\\x = 4[/tex]

The x-intercept is (4, 0)

Answer:

0.749

Step-by-step explanation:

We start by calculating the z-score

Mathematically:

z-score = (x-mean)/SD

z-score = (75-77)/3 = -2/3 = -0.67

The probability we want to calculate is;

P( X > -0.67)

we can use the standard normal distribution table for this

Using this table, the probability has a value 0.74857 which is 0.749 to the nearest thousandth

Answer:

Below are the three ways.

Hope I helped :)

The completed table is given below and the equation for the given situation is 15=4a+0.50s.

Given that, it costs $0.50 to download an individual song and $4 to download an album.

In mathematics, an equation is a formula that expresses the equality of two expressions, by connecting them with the equals sign =.

Jada has $15 to spend downloading music.

Let s be number of songs and a be number of albums

So an equation for the given situation is 15=4a+0.50s

From table, in row 1

Given number of songs is 6

15=4a+0.50(6)

⇒ 15=4a+3

⇒ 4a=12

⇒ a=3

From table, in row 2

Given number of albums is 1

15=4(1)+0.50s

⇒ 0.50s=11

⇒ s=11/0.50

⇒ s=22

From table, in row 3

Given number of albums is 30

15=4a+0.50(30)

⇒ 15-15=4a

⇒ a=0

Hence, the completed table is given below and the equation for the given situation is 15=4a+0.50s.

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Answer:

Slope is -1/4 or -.25

Step-by-step explanation:

y=mx+b

slope is "m" and always has to be infront of x.

Answer:

Please check the explanation.

Step-by-step explanation:

Given the equations

[tex]y=-6x-10[/tex]

[tex]y=-3x-21[/tex]

solving the system of the equations

Arrange the equation variables for elimination

[tex]\begin{bmatrix}y+6x=-10\\ y+3x=-21\end{bmatrix}[/tex]

[tex]y+3x=-21[/tex]

[tex]-[/tex]

[tex]\underline{y+6x=-10}[/tex]

[tex]-3x=-11[/tex]

[tex]\begin{bmatrix}y+6x=-10\\ -3x=-11\end{bmatrix}[/tex]

solve

[tex]-3x=-11[/tex]

Divide both sides by -3

[tex]\frac{-3x}{-3}=\frac{-11}{-3}[/tex]

[tex]x=\frac{11}{3}[/tex]

[tex]\mathrm{For\:}y+6x=-10\mathrm{\:plug\:in\:}x=\frac{11}{3}[/tex]

[tex]y+6\cdot \frac{11}{3}=-10[/tex]

[tex]y+6\cdot \frac{11}{3}=-10[/tex]

[tex]y=-32[/tex]

Therefore, the solutions to the system of the equations are:

[tex]y=-32,\:x=\frac{11}{3}[/tex]

But, it seems none of the options is true.

Answer:

A. (2, -22)

Step-by-step explanation:

I just took the test and i got a one hundred! I really hope it helped!!!!