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Gnom [1K]
3 years ago
6

Which number line shows the correct placement of 10%, 14, and 34?

Mathematics
1 answer:
Hoochie [10]3 years ago
7 0
The number line should put 10% at the 1/10 mark. 10% should be closest to 0, then 14, then 34.
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You are creating an emergency fund and decide to place $415.00/month in an account that earns a 3.75 APR. How much interest accr
hoa [83]

At the end of the first full month the interest acquires is $ 1.30.

<u>Step-by-step explanation:</u>

Since we are looking for the interest for full month, we have to divide the APR by 12.

Because APR is the interest amount for the full year.

So 3.75 % = 3.75/100 = 0.0375

Now multiplying, we will get

415 × 0.0375/12 = $ 1.30

4 0
3 years ago
A campus club held a bake sale as a fund raiser, selling coffee, muffins, and bacon and eggs sandwiches. The club members charge
OLEGan [10]

Answer:

The number of  bacon and egg sandwiches sells are 2 .

Step-by-step explanation:

Let us assume that the number of coffee cups campus club sells be x .

Let us assume that the number of muffins  cups campus club sells be y .

Let us assume that the number of bacon and eggs sandwiches campus club sells be z .

As given

Campus club sold a total of 55 items .

Thus the equation becomes

x + y + z = 55

Of the club members sold 5 more muffins than cups of coffee .

Thus

Number of muffins = 5 + Number of cups of coffee

y = 5 + x

Putting the value of y in the equation x + y + z = 55 .

x + 5 + x + z = 55

2x + z = 55- 5

2x + z = 50

As given

The club members charged $1 for a cup of coffee, 3$ for a muffin , and $4 for a bacon and egg sandwich and earns $119 .

Thus the equation becomes

x + 3y + 4z = 119

Putting the value of y in the above

x + 3 × (x + 5) + 4z = 119

x + 3x + 15 + 4z = 119

4x + 4z = 119 - 15

4x + 4z = 104

Simplify the above

x + z = 26

Thus the two equations are

2x + z = 50

x + z = 26

Multiply x + z = 26 subtracted from 2x + z = 50.

2x -x + z - z = 50  - 26

x = 24

Put the value of x in x + z = 26 .

24 + z =26

z = 26 - 24

z = 2

Therefore the number of  bacon and egg sandwiches sells are 2 .

7 0
3 years ago
Which graph represents the compound inequality?
jenyasd209 [6]

Answer:

4th option

Step-by-step explanation:

open circle means more than or less than

n is more than -3 but less than 1

7 0
3 years ago
Which of the binomials below is a factor of this trinomial?<br> x^2- 14x+ 24
Ray Of Light [21]

Answer:

(x-2)(x-12)

Step-by-step explanation:

x^2-14x+24=(x-2)(x-12)

5 0
3 years ago
Determine whether the point (2, 2) is a solution to the system of equations. Explain your reasoning in complete sentences. Prove
goblinko [34]

Answer:

(0,2) is the solution of the given functions.

Step-by-step explanation:

We have been given two functions  f(x)=|x-1|+1  and g(x)=3x+2

To find the solution of the two functions mathematically, we will equate the given functions:

3x+2=|x-1|+1

3x+1=|x-1|

When we will open the modulus function we will have two values +, -

In positive case:

3x+1 =x-1

2x=-2

x=-1

Now, substitute x=-1 in g(x)=3x+2 we get

g(-1)=3(-1)+2=-1

Hence, (-1,-1) is the solution of the given functions.

In negative case:

Now, 3x+1=-(x-1)

3x+1=-x+1

4x=0

x=0

Now, put x=0 in g(x)=3x+2 we get

g(0)=3(0)+2=2

We have another solution: (0,2)

The point (2,2) is not the solution.

And graphically, the solution of two functions is their intersection point which is (0,2)

Hence, (0,2) is the solution of the function.


6 0
3 years ago
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