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vodka [1.7K]
3 years ago
11

Use the following information to answer the question that follows:

Mathematics
2 answers:
sveticcg [70]3 years ago
5 0

Option E is correct. The amount Mayra deposited into the account quarterly is $1,146.35 where the value of n is 4

In order to get the amount compounded quarterly, we will use the compounded interest formula as shown:

A = P(1+r/n)^nt where:

A is the amount after 5 years = $6000

r is the rate (in %) = 6% = 0.06

n is the compounding time =  1/4 (quarterly)

t is the time taken (in years) = 5 years

Required

Amount invested quarterly.

First, we need to get the amount initially invested

Substitute the given values into the formula;

6000 = P(1+0.06(4))^{5/4)}

6000 = P(1+0.24)^1.25

6000 = P (1.24)^1.25

6000 = 1.3085P

P = 6000/1.3085

P = $4,585.40

The amount initially deposited will be $4,585.40

The amount deposited quarterly = P/n where n = 4

Amount deposited quarterly = $4,585.40/4

Amount deposited quarterly = $1,146.35

Therefore the amount Mayra deposited into the account quarterly is $1,146.35 where the value of n is 4.

Learn more here: brainly.com/question/18456266

Lemur [1.5K]3 years ago
3 0

Answer:

E. n=4

Step-by-step explanation:

"compounded quarterly" meaning 4.

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natali 33 [55]

Answer:

1998

y=6x+1944

Step-by-step explanation:

The percentage of Male workers who prefer a female boss over a male boss increased approximately linearly from 5% in 1974 to 9% in 1998. Predict when 9% of male workers will prefer a female boss

it is explicit from the question that 9% of male workers prefer female boss in 1998. but we can predict a model for this by getting the slope of the graph

y=the year

x=the percentage of men who prefer a female boss

s=y2-y1/(x2-x1)

s=1998-1974/(9-5)

s=24/4

s=6

therefore we have

y=mx+c

y=6x+c........1

when y=1998,x=9

1998=6(9)+c

c=1944

from equation 1

y=6x+1944

8 0
4 years ago
Rafael writes an expression to represent “a number, n, decreased by thirty-one.” Then he evaluates that expression if n = 29. Wh
sukhopar [10]

Answer:

Step-by-step explanation:12

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3 years ago
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Please help me if you can!
bazaltina [42]

Answer:

<h2>y = 7</h2>

Step-by-step explanation:

We know that the sum of the measures of angles on one side of the parallelogram is 180°.

We have the equation:

(6x - 12) + (132 - x) = 180

6x - 12 + 132 - x = 180               <em>combine like terms</em>

(6x - x) + (-12 + 132) = 180

5x + 120 = 180              <em>subtract 120 from both sides</em>

5x = 60          <em>divide both sides by 5</em>

x = 12

Opposite angles in the parallelogram are congruent.

Therefore:

6y + 18 = 6x - 12

Put the value of x to the equation and solve it for y:

6y + 18 = 6(12) - 12

6y + 18 = 72 - 12

6y + 18 = 60           <em>subtract 18 from both sides</em>

6y = 42          <em>divide both sides by 6</em>

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3 years ago
Question 26 pleaseee
LuckyWell [14K]

Answer:

The inequality is 55+10x\leq 105

The greatest length of time Jeremy can rent the jet ski is 5 and Jeremy can rent maximum of 135 minutes.

Step-by-step explanation:

Given: Cost of first hour rent of jet ski is $55

          Cost of each additional 15 minutes of jet ski is $10

          Jeremy can spend no more than $105

Assuming the number of additional 15-minutes increment be "x"

Jeremy´s total spending would be first hour rental fees and additional charges for each 15-minutes of jet ski.

Lets put up an expression for total spending of Jeremy.

\$55+ \$ 10\times x

We also know that Jeremy can not spend more than $105

∴ Putting up the total spending of Jeremy in an inequality.

\$ 55+\$10x\leq \$ 105

Now solving the inequality to find the greatest number of time Jeremy can rent the jet ski,

⇒ \$ 55+\$10x\leq \$105

Subtracting both side by 55

⇒ \$ 10x\leq \$50

Dividing both side by 10

⇒x\leq \frac{50}{10}

∴ x\leq 5

Therefore, Jeremy can rent for 60\ minutes + 5\times 15\\= 60\ minutes + 75= 135\ minutes

Jeremy can rent maximum of 135 minutes.

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Rus_ich [418]

Answer:

h=3in  

Step-by-step explanation:

A=a+b

2h

Solving forh

h=2A

a+b=2·13.5

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3 years ago
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