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seraphim [82]
3 years ago
14

Suppose that you earned a​ bachelor's degree and now​ you're teaching high school. The school district offers teachers the oppor

tunity to take a year off to earn a​ master's degree. To achieve this​ goal, you deposit $ 4000 at the end of each year in an annuity that pays 7.5 % compounded annually.
a. How much will you have saved at the end of five years? (Do not round until the final answer. Then round to the nearest dollar as needed.)
b. Find the interest.
Mathematics
1 answer:
harkovskaia [24]3 years ago
8 0

Answer:

A ) The Amount which will be saved after five years is $ 5742.4

B ) The compound Interest is $ 1742.4

Step-by-step explanation:

The Principal deposited at the end of each year = $ 4000

The rate of interest = 7.5 % compounded annually

The time period = 5 years

From compounded method :

Amount = principal × (1+\dfrac{\textrm rate}{100})^{\textrm time}

or, Amount = $ 4000 × (1+\dfrac{\textrm 7.5}{100})^{\textrm 5}

Or, Amount = $ 4000 × (1.0075)^{5}

or, Amount = $ 4000 × 1.4356

∴ Amount = $ 5742.4

A ) The Amount which will be saved after five years is $ 5742.4

B ) The compound Interest = Amount - principal

   Or, C I = $ 5742.4 - $ 4000 is $ 1742.4    Answer

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A popular chain of superstores made 3.0479×108 dollars in profit last year. One particular store in the chain made 2.102×106 dol
ollegr [7]
This is a simple exercise with rates.
You just have to divide the total profit of the store, that year, per the profit of the particular store.


[3.0479×10⁸ dollars] ÷ [2.102×10⁶ dollars] = 1,45 x 10²





7 0
4 years ago
Piscou possède 2021 pièces d'or. Il les répartit en piles contenant des nombres de pièces consécutifs.
anzhelika [568]

Question in English:

Tom has 2,021 gold coins. He divides them into piles containing consecutive numbers of pieces. if it has more than two piles, how much is in the highest pile?  

Plzzzzz give me Brainliest!!!!!  

7 0
3 years ago
Danielle earns a 8.25% commission on everything she sells at the electronics store where she works. She also earns a base salary
Mariulka [41]

Answer: her sales last week was $4300.

Step-by-step explanation:

Let x represent her her sales in a week.

Danielle earns a 8.25% commission on everything she sells at the electronics store where she works. This means that the commission she gets if she makes sales of $x is 0.0825x

She also earns a base salary of $675 per week. The expression for the total earnings for a week in which she made sales of $x would be

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if her total earnings for last week were $1,029.75, it means that

0.0825x + 675 = 1029.75

0.0825x = 1029.75 - 675

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3 0
3 years ago
Please help me please !
Morgarella [4.7K]

Hi there!  

»»————- ★ ————-««

I believe your answer is:  

Option C

»»————- ★ ————-««  

Here’s why:

⸻⸻⸻⸻  

\text{\underline{The Slope Formula Is:}}\\\\m=\frac{y_2-y_1}{x_2-x_1}\\\\(x_1,y_1)\text{ and } (x_2,y_2)\text{ are two points given.}\\\\\text{We are given the points: } (3,5) \text{ and } (9,2).\\\\\text{\underline{The formula for the points should be:}}\\\\m=\frac{5-2}{3-9}, \text{where } (9,2) \text{ is }(x_1,y_1)\text{ and } (3,5) \text{ is } (x_2,y_2).

⸻⸻⸻⸻

»»————- ★ ————-««  

Hope this helps you. I apologize if it’s incorrect.  

7 0
3 years ago
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