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Dominik [7]
3 years ago
7

Suzanne adopted a new marketing strategy to increase sales at her bakery. Her earnings are compounded weekly. The total amount o

f money earned, in dollars, after x years is shown by the following expression.
Which statement below best describes the coefficient, 5,000?
The coefficient, 5,000, best describes the number of times the earnings are compounded.
The coefficient, 5,000, best describes Suzanne's annual earnings.
The coefficient, 5,000, best describes the rate at which Suzanne's earnings are increasing.
The coefficient, 5,000, best describes Suzanne's initial earnings.
Mathematics
2 answers:
Rashid [163]3 years ago
8 0
The correct answer is the last choice.

In a compound interest equation, the first value is the initial investment. In this case, it would be 5000. After the 5000, you would enter the rate that is being used.
Shkiper50 [21]3 years ago
8 0

Answer:

The coefficient, 5,000, best describes Suzanne's initial earnings.

Step-by-step explanation:

5000 represents the initial amount

here the initial earnings

Whenever amount earned is increasing compoundly we write

if rate of increasse is r% and t = no of weeks

Earnings at end of t weeks = 5000(1+\frac{r}{100} )^t

for all t = 1,2,3....

Thus 5000 appears as a coefficient for all t's

5000 is nothing but the initial earnings

Option D is right

The coefficient, 5,000, best describes Suzanne's initial earnings.

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-7.5x3+(20+2.5)=0

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ElenaW [278]

Answer:

  t ≥ -12

Step-by-step explanation:

Divide the inequality by the coefficient of t. Because that value is negative, the sign gets reversed.

  (-4t)/(-4) ≥ (48)/(-4)

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5 0
4 years ago
An office supply company sells two types of fax
Phantasy [73]

14 of the machine that cost $150 was sold and 8 of the machine that cost $225 was sold.

To solve this problem, we would write a system of linear equations.

  • Let x represent the machine that cost $150
  • Let y represent the machine that cost $225

We can proceed to write our equations now.

x + y = 22...equation(i)\\150x + 225y = 3900...equation(ii)

From equation 1

x+ y = 22\\x = 22 - y...equation (iii)

<h3>The Value of Y</h3>

put equation (iii) into (ii)

150x + 225y =3900\\x = 22-y\\150(22-y)+225y=3900\\3300-150y+225y=3900\\3300+75y=3900\\75y=3900-3300\\75y=600\\75y/75=600/75\\y=8

<h3>The Value of X</h3>

Since we know the number of y, we can simply substitute it into equation (i) and solve.

x + y = 22\\x + 8 = 22\\x = 22-8\\x = 14

From the calculations above, 14 of the machine that cost $150 was sold and 8 of the machine that cost $255 was sold.

Learn more about system of equations here;

brainly.com/question/13729904

3 0
3 years ago
Sam earned $130 last week. Jay earned $150 last week. They combined their money and decided to donate 1/5 of their total amount
defon
Jay's claim is false. They would have $156.8 left which is 56% of their original combined total. 
4 0
3 years ago
In ΔOPQ, the measure of ∠Q=90°, the measure of ∠O=26°, and QO = 4.9 feet. Find the length of PQ to the nearest tenth of a foot.
Step2247 [10]

Given:

In ΔOPQ, m∠Q=90°, m∠O=26°, and QO = 4.9 feet.

To find:

The measure of side PQ.

Solution:

In ΔOPQ,

m\angle O+m\angle P+m\angle Q=180^\circ        [Angle sum property]

26^\circ+m\angle P+90^\circ=180^\circ

m\angle P+116^\circ=180^\circ

m\angle P=180^\circ -116^\circ

m\angle P=64^\circ

According to Law of Sines, we get

\dfrac{a}{\sin A}=\dfrac{b}{\sin B}=\dfrac{c}{\sin C}

Using the Law of Sines, we get

\dfrac{p}{\sin P}=\dfrac{o}{\sin O}

\dfrac{QO}{\sin P}=\dfrac{PQ}{\sin O}

Substituting the given values, we get

\dfrac{4.9}{\sin (64^\circ)}=\dfrac{PQ}{\sin (26^\circ)}

\dfrac{4.9}{0.89879}=\dfrac{PQ}{0.43837}

\dfrac{4.9}{0.89879}\times 0.43837=PQ

2.38989=PQ

Approximate the value to the nearest tenth of a foot.

PQ\approx 2.4

Therefore, the length of PQ is 2.4 ft.

4 0
3 years ago
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