A bank loaned out ​$​12,00, part of it at the rate of 9% per year and the rest at 19% per year. If the interest received in one year totaled ​$​1,500, how much was loaned at 9%

Answer:

y=2 and x=1

Step-by-step explanation:

sub 2 into 1

3(15-7y) + 4y= 11

45 - 21y +4y =11

-21y+4y= 11-45

-17y= - 34

y=2

Therefore sub y into x equation

x=15-7(2)

x= 1

Answer:

3x + 4y = 11

x = 15 -7 y

3 (15-7y) = 11

45 - 21y + 4y = 11

45 - 17 y = 11

-17 y =11 -45

-17y ÷ -17 = -34 ÷ -17

y = 2

x = 15 - 7y

x = 15 - 7(2)

x = 15 - 14

x = 1

there for y = 2 and x = 1 is the solution

Answer:

c

Step-by-step explanation:

i just did t

Answer:

12

Step-by-step explanation

Answer: 16.2 ft

Step-by-step explanation:

Using the Pythagorean theorem, if we let the length of the ladder be x,

[tex]6^{2}+15^{2}=x^{2}\\\\261=x^{2}\\\\x=\sqrt{261} \approx \boxed{16.2 \text{ ft}}[/tex]

Answer:

circumference=2πr=2×22/7×6.5=40.8571428571

option

A.

A.40.82 in

is your answer.

Step-by-step explanation:

the formula for the circumference of a circle for just the radius is

2r(pie)

so just insert 6.5 for r

2(6.5)(pie)

40.82

Hope that helps :)

Yes. In mathematics, a function is a binary relation between two sets that associates to each element of the first set exactly one element of the second set.

---

hope it helps

We are given the following information:

each person uses 3/8 a box

there are 6 boxes

Because each box is , and there are 6 boxes, we know that 1 person is , or .

In order to find how many people can use the 6 boxes, we can divide it by 3 (for each use):

48 / 3 = 16

Therefore, 16 people can share the worms.

Answer:

Step-by-step explanation:

a 30-60-90 right triangle is a right triangle because of the 90

the 30 and the 60 have to make 90 too since traingles make 180

30 + 60 + 90 = 180

so 30-60-90 is a right triangle.

Right triangles also can use pythagoran theorem, so the angle ratio is

30-60-90

but the side ratio is

a² + b² = c²

Answer:

42

Step-by-step explanation:

Sin 30=21/H

H=21/sin 30

H= 42

Answer:

12=12, so I believe your answer would be yes. I hope this helps.

Step-by-step explanation:

(4,10)

y = 3x - 2

10 = 3(4) - 2

10 = 12 - 2

+2         +2

12 = 12

Answer:

h = 3100

General Formulas and Concepts:

Pre-Algebra

Order of Operations: BPEMDAS

Equality Properties

Step-by-step explanation:

Step 1: Define

2h = 81² - 19²

Step 2: Solve for h

Answer:

2h = 81^2 - 19^2

2h = 6561 - 361

2h = 6200

h = 6200/2

h = 3100

Answer:

They are less than 1/2

Step-by-step explanation:

20-8=12

6x7=42

i shall say this is correct

Answer:

43.2

Step-by-step explanation:

Answer:

80+40+44-20÷24+32 ♡♡♡

Using set operations,

1.The number of students who study all the three subjects = 10

2.The number of students who study only mathematics and chemistry = 8

Set operations are the operations that are applied on two or more sets to develop a relationship between them. There are four main kinds of set operations which are as follows.

Let mathematics = M, physics = P, chemistry = C.

n(M∪P∪C) = 80

n(M) = 48

n(P) = 40

n(C) = 44

n(M∩P) = 20

n(M∩C) = ?

n(C∩P) = 24

n(M∩P) + n(M∩C) + n(C∩P) - 3n(C∩P∩M) = 32

20 + n(M∩C) + 24 - 3n(C∩P∩M) = 32

n(M∩C) = 3n(C∩P∩M) - 12 - *

We know,

n(M∪P∪C) = n(M) + n(P) + n(C) - n(M∩P) - n(M∩C) - n(C∩P) + n(C∩P∩M)

80 = 48 + 40 + 44 - 20 - n(M∩C) - 24 + n(C∩P∩M)

n(M∩C) = n(C∩P∩M) + 8 - **

Equating * and **,

n(C∩P∩M) + 8 = 3n(C∩P∩M) - 12

2n(C∩P∩M) = 20

n(C∩P∩M) = 10

putting the value of n(C∩P∩M) in *

n(M∩C) = 18

n(M∩C) - n(C∩P∩M) = 8

Learn more about set operations here

https://brainly.com/question/17469840

#SPJ2

Answer:

C. -4x - 1

Step-by-step explanation:

[tex]-\frac{1}{2}(8x+2)[/tex]

Distribute the term outside of the parenthesis, Multiply each term in the parenthesis by the term outside (do not forget to include the negative sign when multiplying);

[tex](-\frac{1}{2}(8x))+(-\frac{1}{2}(2))[/tex]

Simplify,

[tex]-4x - 1[/tex]

Answer:

right,scalene triangle

Step-by-step explanation:

it's slope intercept form

Answer:

slope (I think)

Step-by-step explanation:

Answer:

3 and/or 1.

Step-by-step explanation:

Answer:

1, 3

Step-by-step explanation:

1^2 = 1

1 x 4 = 4

4-1 = 3

3^2 = 9

3 x 4 = 12

12-9 = 3

Answer:

90 Pomegranate and 55 iZac

Step-by-step explanation:

Represent Pomegranate with p and iZac with i

The data can be represented in the following table.

[tex]\begin{array}{cccc}{} & {Pomegranate} & {iZac} & {Total} & {Memory} & {400} & {300} & {52500} & {Disk\ Space} & {80} & {100} & {12700} \ \end{array}[/tex]

The table can be represented as follows:

[tex]400p + 300i = 52500[/tex] --- (1)

[tex]80p + 100i = 12700[/tex] ---- (2)

Multiply equation (2) by 3

[tex]3 *\ ([/tex][tex]80p + 100i = 12700[/tex][tex])[/tex]

[tex]240p + 300i = 38100[/tex] ---- (3)

Subtract (3) from (1)

[tex]400p - 240p + 300i - 300i = 52500 - 38100[/tex]

[tex]160p = 14400[/tex]

Divide both sides by 160

[tex]p = 90[/tex]

Substitute [tex]p = 90[/tex] in (2)

[tex]80p + 100i = 12700[/tex]

[tex]80 * 90 + 100i = 12700[/tex]

[tex]7200 + 100i = 12700[/tex]

Collect like terms

[tex]100i = 12700 - 7200[/tex]

[tex]100i = 5500[/tex]

Divide by 100

[tex]i = 55[/tex]

So;

[tex]p = 90[/tex] and [tex]i = 55[/tex]

Answer: it is -97

Step-by-step explanation:

because you break it down

-1-81-16+1 ( and the -- turns into a + )

( get rid of the + )

Answer:

a. 12(Nm)

b. anticlockwise

Step-by-step explanation:

Moment = force applied * distance

Answer:

137

Step-by-step explanation:

Answer:

6x4=24 it's either this one or the one on top

Answer:

800

Step-by-step explanation:

I rounded 39 to 40 and 24 to 20 to get numbers that are eadult multiplied

then we can do 40*20 which is 800 using mental math

hope this helps <3

Answer:

1000

Step-by-step explanation:

4*2 = 8

40 * 20 = 800

4*5 = 20

40* 5 = 200

40 * 20 + 40 * 5 = 800 + 200 = 1000

40 * 25 = 1000

Answer:

The 95% confidence interval for the true average strain is between 23.94% and 28.06%.

Step-by-step explanation:

We have the standard deviation of the sample, so we use the t-distribution to solve this question.

The first step to solve this problem is finding how many degrees of freedom, we have. This is the sample size subtracted by 1. So

df = 13 - 1 = 12

95% confidence interval

Now, we have to find a value of T, which is found looking at the t table, with 12 degrees of freedom(y-axis) and a confidence level of [tex]1 - \frac{1 - 0.95}{2} = 0.975[/tex]. So we have T = 2.18

The margin of error is:

[tex]M = T\frac{s}{\sqrt{n}} = 2.18\frac{3.4}{\sqrt{13}} = 2.06[/tex]

In which s is the standard deviation of the sample and n is the size of the sample.

The lower end of the interval is the sample mean subtracted by M. So it is 26 - 2.06 = 23.94

The upper end of the interval is the sample mean added to M. So it is 26 + 2.06 = 28.06

The 95% confidence interval for the true average strain is between 23.94% and 28.06%.

Answer:

right 6

down 3

Step-by-step explanation:

Take 1 point and make it go from red to blue. All the rest will do the same thing.

This is just an random choice. Choose the lowest point on the red. It is at

(-3, - 2)

Now to go to the lowest point on the blue, you start by going right from - 3 to + 3 That is 6 units to the right.

Now it also goes down. The red point is -2 for the y or down direction.

It goes down to - 5. So that's down 3 units.

Answer:

$8.35

Step-by-step explanation:

6 pounds is $8.35

Answer:

we need to know whats given above can you show us a picture of the table above?

Step-by-step explanation:

Answer:

a=28

Step-by-step explanation:

a+20=48

a=48-20

a=28