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ArbitrLikvidat [17]
2 years ago
10

Daniel deposits $300 into an account that earns 16% interest annually. Which equation can be used to model his account balance,

y, after x years?
Mathematics
1 answer:
MAVERICK [17]2 years ago
5 0

Answer:

y=300(1+0.16)^x

Step-by-step explanation:

<h2>This account  can be  modeled using the compound interest formula.</h2><h2>the compound interest formula is expressed as</h2>

 A= P(1+r )^t

Where

A =final amount  = y

P=initial principal balance = $300

r=interest rate  = 16%= 0.16

t=number of time periods elapsed= x

Hence the equation to model his account balance/ final amount A (y) after time (x) years is

y=300(1+0.16)^x

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An entrepreneur estimates that the total profit (profit = total revenue minus total cost) from his proposed company will be give
Studentka2010 [4]
I found the same problem but with given choices:
A.1 year 
<span>B.2 years </span>
<span>C.3 years </span>
<span>D.4 years </span>
<span>E.6 years
</span>
profit = total revenue - total cost
p(x) = x³ - 4x² + 3x - 12

simply plug each choices to solve. answer must be 0.

A) p(1) = 1³ - 4(1²) + 3(1) - 12 = 1 - 4 + 3 - 12 = -12
B) p(2) = 2³ - 4(2²) + 3(2) - 12 = 8 - 16 + 3 - 12 = -17
C) p(3) = 3³ - 4(3²) + 3(3) - 12 = 27 - 36 + 9 - 12 = -12
D) p(4) = 4³ - 4(4²) + 3(4) - 12 = 64 - 64 + 12 - 12 = 0
E) p(6) = 6³ - 4(6²) + 3(6) - 12 = 216 - 144 + 18 - 12 = 78

It would take 4 years for the company to reach break-even point.
5 0
2 years ago
Sara collected $135 in donations for the hospital. This represents 5 percent of total collected. How much did the class collect
PIT_PIT [208]

Answer:

$2,700

Step-by-step explanation:

Find the total donation amount by dividing 135 by 0.05:

135/0.05

= 2700

So, the class collected $2,700 in all

5 0
2 years ago
Read 2 more answers
The sum of two numbers is 13. Two times the first number minus 3 times the second number is one. If your ex stand for the first
Sav [38]

Answer:x = 8, y = 5

Step-by-step explanation:The sum of two numbers is 13. Two times the first number minus three times the second numberis 1. If you let x stand for the first number and y for the second number, the two numbers are: A. x = 8, y = 5

6 0
2 years ago
Find the perimeter of the triangle shown.Simplify your answer.Show all your work.
VashaNatasha [74]
Answer: 12 sqrt(5)

Explanation:
First simplify:
= Sqrt(45)
= sqrt(9*5) sqrt of 9 is 3 so bring out 3
= 3sqrt(5)

= 2sqrt(20)
= 2sqrt(4*5) sqrt of 4 is 2 so bring that out and multiply it by 2
= 4sqrt(5)

= 5 sqrt(5) is already simplified

= 3sqrt(5) + 4 sqrt(5) + 5sqrt(5)
= 12 sqrt(5)
7 0
3 years ago
According to the ASA theorem, which of the following sets of relationships can be used to show that VRT and STR are congruent?
irina [24]

Answer:

C. ∠SRT≅∠VTR and ∠STR≅∠VRT

Step-by-step explanation:

Given:

Quadrilateral is a parallelogram.

RS║VT; RT is an transversal line;

Hence By alternate interior angle property;

∠SRT≅∠VTR

∠STR≅∠VRT

Now in Δ VRT and Δ STR

∠SRT≅∠VTR (from above)

segment RT= Segment RT (common Segment for both triangles)

∠STR≅∠VRT (from above)

Now by ASA theorem;

Δ VRT ≅ Δ STR

Hence the answer is C. ∠SRT≅∠VTR and ∠STR≅∠VRT

7 0
2 years ago
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