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Kaylis [27]
2 years ago
5

Suppose that $1800 is borrowed for three years at an interest rate of 2% per year, compounded continuously. Find the amount owed

, assuming no payments
are made until the end.
Mathematics
1 answer:
Schach [20]2 years ago
5 0

1908

Step-by-step explanation:2% of 1800 is 36 36 x 3 is 108 + 1800 =1908

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The MagicSoft software company has a proposal to the city council of Alva, Florida, to relocate there. The proposal claims that
EleoNora [17]

Answer:

The correct estimate of the amount generated to the local economy is $3,333,333.\bar3

Step-by-step explanation:

The amount the expected to be generated for the local economy = $3.3 million

The amount of salaries that will generate $3.3 million = $1 million

The percentage of the amount of the salaries and the subsequent earnings expected to be spent on the local community = 70%

Therefore, we have;

For a first amount of 1 million into the economy, the next amount to into the economy is 70/100 × 1 million = 700,000, then we have 70/100 × 700,000 and so on, which is a geometric sequence, with first term, a = $1 million, the common ratio, r = 70/100 = 0.7, the number of terms = Infinity = ∞

The sum of a geometric sequence to infinity is given as follows;

\sum\limits_{k = 0}^{\infty }a \cdot r^k = S_{\infty} = \dfrac{a}{1 - r}

Substituting the known values gives;

\sum\limits_{k = 0}^{\infty }1,000,000 \times 0.7 ^k =  \dfrac{1,000,000}{1 - 0.7}= 3,333,333.\bar 3

Therefore, the correct estimate of the amount generated to the local economy by the $1 million salaries that will be paid = $3,333,333.\bar3.

5 0
2 years ago
Use the relations to answer the question that follows.
alina1380 [7]

Answer:

OMG you are so pretty

Step-by-step explanation:

6 0
3 years ago
Two sides of a triangle are equal in length and double the length of the shortest side . The perimeter of the triangle is 36 inc
Firdavs [7]

Answer:

The length of the sides of the triangle are as follow: Two sides are 14.4 inches long and the shortest is 7.2 inches.

Step-by-step explanation:

P = 36in // perimeter of triangle

P = A + B + C //equation for perimeter of a triangle

A = B or B = A //Showing that two sides are equal in length

A = 2C and B = 2C //Showing that the two equal sides are each doubled of the shortest side

C = A/2 and C = B/2 //Showing the same thing as the top, but in terms of the shortest side

Solve for C //First we solve for the shortest side as it's easiest

36 = A + B + C

36 = 2C + 2C + C //Use substitution for A and B

36 = 5C

C = 7.2in

Solve for A

A = 2C

A = 2(7.2) //Use what we solved for C

A = 14.4in

Solve for B

B = A

B = 14.4in //Same as A

Check Work

P = A + B + C

P = 14.4 + 14.4 + 7.2

P = 36

4 0
3 years ago
Can y’all convert these fractions to a percentage
nadya68 [22]

Answer:

All of them?!?!

Step-by-step explanation:

ill do a couple 1. 20% 12. 70% 26. 65% 17. 44%

5 0
2 years ago
Suppose you make coffee and it starts off just too hot to drink, so you put it in the refrigerator temporarily to cool it off. I
Mariana [72]
Uh..... Cold enough to drink?
8 0
3 years ago
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