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Svetllana [295]
3 years ago
12

3. Quincy deposits $400 in a new bank account that earns 4% simple interest per year. What

Mathematics
1 answer:
Illusion [34]3 years ago
8 0

Answer:

$448

Step-by-step explanation:

We can use the simple interest formula for this:

A = P (1 + rt)

<em>P = initial balance</em>

<em>r = annual interest rate</em>

<em>t = time</em>

<em />

First, change 4% into its decimal form:

4% -> \frac{4}{100} -> 0.04

Now, lets plug in the values:

A=400(1+(0.04)(3))

A=448

The total amount in the account after 3 years will be $448

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A school chorus has 90 sixth-grade students and 75 seventh-grade students. The music director wants to make groups of performers
Vera_Pavlovna [14]

Answer:

a) 15 is the largest number of groups that can be made.

b) There would 6 sixth grade students and 5 seventh grade students in each group.

Step-by-step explanation:

Number of sixth-grade students = 90

Number of seventh-grade students = 75

a) What is the largest number of groups that could be formed?

Since the music director wants to make groups with the same combination of sixth and seventh grade students in each group,

The greatest common factor (GCF) of the number of sixth and seventh grade students would give us the required combination.

Factor of 90 = 2*45 = 2*3*15 = 2*3*3*5

Factor of 75 = 3*25 = 3*5*5

The greatest common factors are 3 and 5

GCF = 3*5 = 15

Therefore, 15 is the largest number of groups that can be made.

b. If that many groups are formed, how many students of each grade level would be in each group?

Sixth grade = 90/15 = 6

Seventh grade = 75/15 = 5

Therefore, there would 6 sixth grade students and 5 seventh grade students in each group.

7 0
3 years ago
i keel asking for the dang answer why wont anyone tell me it a store sells pencils pens and markers that sells two times as many
babunello [35]

Answer:

Pencils = 325 ; Pens = 975 ; Markers = 650

Step-by-step explanation:

Let :

Number of Pencils = x

Number of pens = y

Number of markers = z

2 times as many markers as pencils

z = 2x

3 times as many pens as pencils

y = 3x

x + y + z = 1950

Write z and y in terms of x in the equation :

x + 3x + 2x = 1950

6x = 1950

Divide both sides by 6

6x / 6 = 1950 / 6

x = 325

Number of pencils = 325

Pens = 3 * 325 = 975

Markers = 2 * 325 = 650

Pencils = 325 ; Pens = 975 ; Markers = 650

6 0
3 years ago
What is the slope of the line x=6
zimovet [89]

Answer:

undefined

Step-by-step explanation:

Vertical lines never have a defined slope as you can never divide a number by zero

6 0
3 years ago
Read 2 more answers
Multiply 2 5/8 and -2 3/5
Rina8888 [55]

Answer:

-6 33/40

Step-by-step explanation:

2 5/8  * -2 3/5

Change each to an improper fraction

2 5/8 = (8*2+5)/8 = 21/8

2 3/5 = (5*2+3)/5 = 13/5

21/8 * -13/5

-273/40

Change to mixed number

40 goes into 273 6 times

6*40 = 240   273-240 =33

-6 33/40

8 0
3 years ago
Rewrite each of the following expressions without using absolute value bars.
Slav-nsk [51]

Answer:

A |x−4| if x>4

Step-by-step explanation:

8 0
2 years ago
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