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finlep [7]
4 years ago
11

How much money should be invested now (rounded to the nearest cent), called the present value, in a Treasury Bond investment, yi

elding 4.75% per year compounded monthly for 10 years if you wish it to be worth $20,000 after 10 years?
Hint: A(t)=Ao(1+r/n)^nt

a. $12,574.47

b. $31,810.49

c. $12,449.37

d. $19,225.36
Mathematics
2 answers:
Blizzard [7]4 years ago
6 0

Answer:

A

Step-by-step explanation:

plz mark brainliest

irga5000 [103]4 years ago
5 0

Answer:

A

Step-by-step explanation:

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The owner of a grocery store wants to mix two kinds of candy together to make 15 lb that he can sell for $5.00 per lb. He wants
jeyben [28]

Answer:

9lb chocolate candies

6lb sugar candies

Step-by-step explanation:

Yes, I also happen to go to RSM. (6b)

Equation: 7x+2(15-x)=5*15

Solve:

7x+(2)(15)+(2)(−x)=(5)(15)

7x+30+(−2x)=75

(7x+(−2x))+(30)=75

5x+30=75

5x=45

x=9lb chocolate candies

Now, calculate the sugar candies.

15-9=6lb sugar candies

6 0
3 years ago
Read 2 more answers
The Vilas County News earns a profit of $20 per year for each of its 3,000 subscribers. Management projects that the profit per
Mekhanik [1.2K]

Answer:

850

Step-by-step explanation:

Current profit per year = $ 20

Number of subscribers = 3000

For each additional subscriber over 3000, the profit will increase by 1 cent or by $ 0.01. For example, for 3001 (3000 + 1) subscribers, the profit will be $ 20.01 per year. Similarly, for 3002 (3000 + 2) subscribers, the profit will be $20.02 per year and so on.

So, for x additional subscribers over 3000, the profit will increase by 0.01(x). i.e. for (3000 + x) subscribers, the profit will be $(20 + 0.01x)

Since, profit per each subscriber is $(20 + 0.01x), the profit for (3000 + x) subscribers will be:

Total profit = Number of subscribers x Profit per each subscriber

Total profit = (3000 + x)(20 + 0.01x)

We want to calculate how many subscribers will be needed to bring a profit of $109,725. So, we replace Total profit by $109,725. The equation now becomes:

109725=(3000+x)(20+0.01x)\\\\ 109725=60000+30x+20x+0.01x^{2}\\\\ 0.01x^{2}+50x+60000-109725=0\\\\ 0.01x^{2}+50x-49725=0\\

Using quadratic formula, we can solve this equation as:

\\ x=\frac{-50 \pm \sqrt{50^{2}-4(0.01)(-49725)}}{2(0.01)}\\\\ x=\frac{-50 \pm67}{0.02}\\\\ x=\frac{-50-67}{0.02} , x=\frac{-50+67}{0.02}\\\\  x=-5850, x=850

x = -5850 is not a possible solution as this would make the total number of subscribers to be negative. So we reject this value.

Therefore, the answer to this question is 850. 850 more subscribers are needed to being a total profit of $109,725

8 0
4 years ago
Tickets to the museum are &7 each madison has &59 . What is the greatest number of tickets to the museum that madison ca
vladimir2022 [97]

Answer:

8 tickets

Step-by-step explanation:

Total amount Madison has: $59

Each ticket cost: $7

<em>To find out the max number of tickets he can buy with this, we are essentially asking, how many 7's are there in 59??</em>

<em />

Let's see:

1 ticket = 7 * 1 = $7

2 ticket = 7 * 2 = $14

3 ticket = 7 * 3 = $21

4 ticket = 7 * 4 = $28

5 ticket = 7 * 5 = $35

6 ticket = 7 * 6 = $42

7 ticket = 7 * 7 = $49

8 ticket = 7 * 8 = $56

9 ticket = 7 * 9 = $63

We stop here, since 9th ticket costs more than what Madison has. So, Madison can buy MAX of 8 tickets with this money.

8 0
3 years ago
You are working as a sales clerk in a fabric store and need to determine the price on some fabric. The fabric store sells for $6
mariarad [96]

Answer:

$6.10

Step-by-step explanation:

Given the fabric store sells the fabric for $6.97 per yard

Given that a customer buys 7/8 yard of fabric.

Let the cost the customer pays be x then

1 yard---->6.97

\frac{7}{8} yard---->x

on cross multiplication we get

x\time 1=6.97\times \frac{7}{8}

x=6.01

Therefore the amount the customer should pay is $6.01

6 0
3 years ago
Find the discriminant.<br> 7z2–7z+1=0
Yuki888 [10]

Answer:

21

Step-by-step explanation:

7 0
4 years ago
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