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valina [46]
2 years ago
3

catherine is paying off a $2400 loan by making equal payments over a 12-month period until the loan is paid. express the amount

of debt remaining as a function of time in months
Mathematics
1 answer:
statuscvo [17]2 years ago
7 0

Answer:$200 per month is spent.

Step-by-step explanation:

$2400 divided by 12 = $200

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A manager associated each employee's name with a number on one ball in a container, then drew balls without looking to select a
RUDIKE [14]
Answer: This type of sampling is Simple Random Sampling
7 0
2 years ago
Read 2 more answers
During a field trip, 60 students are put into equal-sized groups. Describe two ways to interpret 60÷5 60 ÷ 5 in this context. Fi
Afina-wow [57]

The second question:

Consider the division expression 7\frac{1}{2} / 2. Select all multiplication equations that correspond to this division expression.

2 * ? = 7\frac{1}{2}     7\frac{1}{2} * ?= 2     ? * 2  = 7\frac{1}{2}

2* 7\frac{1}{2} = ?    ?  * 7\frac{1}{2} = 2

Answer:

1. See Explanation

2. 2 * ? = 7\frac{1}{2}     and     ? * 2  = 7\frac{1}{2}

Step-by-step explanation:

Solving (a):

Given

Students = 60

Group = Equal\ Sized

Required

Interpret \frac{60}{5} in 2 ways

<u>Interpretation 1:</u> Number of groups if there are 5 students in each

<u>Interpretation 2:</u> Number of students in each group if there are 5 groups

<u>Solving the quotient</u>

Quotient = \frac{60}{5}

Quotient = 12

<u>For Interpretation 1:</u>

The quotient means: 12 groups

<u>For Interpretation 2:</u>

The quotient means: 12 students

Solving (b):

Given

7\frac{1}{2} / 2

Required

Select all equivalent multiplication equations

Let ? be the quotient of t 7\frac{1}{2} / 2

So, we have:

7\frac{1}{2}/2 = ?

Multiply through by 2

2 * 7\frac{1}{2}/2 = ? * 2

7\frac{1}{2} = ? * 2

Rewrite as:

? * 2 = 7\frac{1}{2}  --- This is 1 equivalent expression

Apply commutative law of addition:

2 * ? = 7\frac{1}{2}  --- This is another equivalent expression

8 0
2 years ago
Noelle stands at the edge of a cliff and drops a rock. The height of the rock is given by the function f(x)-4.9x2 + 15, where c
Oxana [17]
A graphing calculator shows the rocks are at the same height 1.5 seconds after they are released.

That height is 3.975 meters.

_____
f(x) = g(x)
-4.9x^2 +15 = -4.9x^2 +10x
15 = 10x . . . . . . . . . . . . . . . . . . add 4.9x^2
1.5 = x . . . . . . . . . . . . . . . . . . . divide by 10
f(1.5) = -4.9*2.25 +15 = 3.975

3 0
2 years ago
a squirrel is 24 feet up in a tree and tosses a nut out of the tree with an initial velocity of 8 feet per second. the nuts heig
marin [14]

The nut lands first on gorund

<em><u>Solution:</u></em>

The squirrel climbs down the tree in 2 seconds

Given that,

A squirrel is 24 feet up in a tree and tosses a nut out of the tree with an initial velocity of 8 feet per second

<em><u>The nuts height, h, at time t seconds can be represented by the equation:</u></em>

h(t) = -16t^2 + 8t+24

-16t^2 + 8t+24 = 0\\\\-2t^2 + t + 3 = 0\\\\2t^2 - t-3=0\\\\Split\ the\ middle\ term\\\\2t^2 + 2t-3t -  3 = 0\\\\Break\ the\ expression\ into\ groups\\\\(2t^2 + 2t) -(3t+3) = 0\\\\2t(t+1) -3(t+1) = 0\\\\(t+1)(2t-3) = 0\\\\Therefore,\\\\t + 1 = 0\\\\t = -1\\\\2t-3=0\\\\2t = 3\\\\t = \frac{3}{2} = 1.5

time cannot be negative, so ignore t = -1

Thus the nut takes 1.5 seconds to reach ground

From given,

The squirrel climbs down the tree in 2 seconds

Therefore, the nut lands first on gorund

5 0
2 years ago
Outline the process for inscribing a square in a circle. Perform the construction in GeoGebra, and take a screenshot of the cons
Amiraneli [1.4K]

Answer:

Mark a circle with point A in the center

Make two points across from each othe at the top and bottom of the circle. Mark them as B, C, D, and E

Connect the point B, C, D, and E using line segments

4 0
2 years ago
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