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DerKrebs [107]
2 years ago
3

A student has a savings account earning 9% simple interest. She must pay $1500 for first-semester tuition by September 1 and $15

00 for second-semester tuition by January 1. How much must she earn in the summer (by September 1) to pay the first-semester bill on time and still have the remainder of her summer earnings grow to $1500 between September 1 and January 1?
Business
1 answer:
Mars2501 [29]2 years ago
8 0

Answer:   $2956.31  in total by september 1st

Explanation:

Using the formula A = P ( 1 + rt )

our given  Data:

Rate of simple interest = 9%

r = 0.03/12 per month

P= Money in the bank by Sep 1 and A= $1500

FOR t=4 means that there are four months between 1st September and 1st January

So, in order to have the remainder of summer earnings grow to $1500 between September 1 and January 1,

we have that  A = P ( 1 + rt )

1500 = P [1 +  .09(4/12)]

1500 = P (1 + .03) 1500 / 1.03 =

P= $1456.31  

This implies  that she  needs to earn 1500 + 1456.31 = $2956.31 during summer to ensure that t she will have enough money to pay first semester on time in september  and still have remainder of her earnings to grow by January 1st.

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Answer:

c. Brand competitor

Explanation:

Brand competitor -

It refers to the fued or competitive situation between any two companies or organization , producing similar types of goods and services , is referred to as brand competition.

Since , both the companies are always targeting each other .

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The correct option is c. Brand competitor .

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2 years ago
Benefits plans that combine sick leave, vacation time, and holidays into a total number of days employees may take off with pay
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Option D

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<h3><u>Explanation:</u></h3>

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2 years ago
The risk-free rate is 5 percent and the market risk premium is 8 percent. Stock Y's beta is 1.85 and the standard deviation of i
Romashka [77]

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  g

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2 years ago
A certain movie star's salary for each film she makes consists of a fixed amount, along with a percentage of the gross revenue t
umka2103 [35]

Salary relationships usually have behaviors that can be expressed through mathematical equations, for this case we must locate the information they give us, according to which the salary of the movie star S is equal to a fixed basic remuneration b plus a percentage x of the gross income g, that is:

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With this equation and the data they give us, we can solve the request so :

\boldsymbol{1)} \; 32 = b + 100x\\\boldsymbol{2)} \; 24 = b + 60x

We clear the basic remuneration  b from the second equation and replace in the first:

\boldsymbol{2)} \; 24 = b + 60x\\24-60x = b\\\boldsymbol{1)} \; 32 = b + 100x\\32 = (24-60x) + 100x\\32-24=100x-60x\\8=40x\\\frac{8}{40} =x\\\boldsymbol{x=0,2}\\b=24-60x\\b=24-60(0,2)\\b=24-12\\\boldsymbol{b=12}

Thus, with the fixed basic remuneration and the percentage of gross income calculated, we can estimate how much the following film should obtain so that the movie star obtains at least  40 millions salary:

40 = g (0.2) +12\\40-12 = g (0.2)\\\frac{28}{0.2y} = g\\\boldsymbol{g = 140}

Answer

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3 0
2 years ago
Read 2 more answers
A bond with a coupon rate of 7% makes semiannual coupon payments on January 15 and July 15 of each year. The Wall Street Journal
VladimirAG [237]

Answer:

The invoice price of the bond will be $100,127.88

Explanation:

Bonds are nothing but the debt instrument which a company uses to raise capital from the general public, these bonds can be of both short and long term period.

In the question it is given that bond has a coupon period of 182 days which means the bond is of short term period. Coupon rate of 7% means the bond gives the interest of 7% to its holder semiannually every year on January 15 and July 15.

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INTEREST = $1000 x 7% x 15 / 30

                 = $1000 x .07 x 1/ 2

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INVOICE PRICE = INTEREST X \frac{TOTAL \: NUMBER \: OF \: DAYS}{COUPON \: PERIOD}   + Ask price

        =  $35 X 15 / 182

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Now adding this amount in to ask price

$100,125 + $2.884

= $100,127.88  ( INVOICE PRICE)

7 0
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