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Lady bird [3.3K]
3 years ago
11

If $1,120 is invested at an interest rate of 15% per year and is compounded contonuously, how much will the investment be worth

in 7 years? Use the continuous compound interest formula: A=Pr^rt.​
Mathematics
2 answers:
frutty [35]3 years ago
4 0

Answer:3,200.57

Step-by-step explanation:

Luden [163]3 years ago
3 0

Answer:

\$3,200.57  

Step-by-step explanation:

we know that

The formula to calculate continuously compounded interest is equal to

A=P(e)^{rt}  

where  

A is the Final Investment Value  

P is the Principal amount of money to be invested  

r is the rate of interest in decimal  

t is Number of Time Periods  

e is the mathematical constant number

we have  

t=7\ years\\ P=\$1,120\\ r=0.15  

substitute in the formula above  

A=\$1,120(e)^{0.15*7}=\$3,200.57  

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Sidana [21]

Answer:

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Step-by-step explanation:

This equation can simply be solved by adding 15 to both sides.

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5 0
2 years ago
Caroline has some dimes and some quarters. She has a maximum of 15 coins worth at least $2.85 combined. If Caroline has 3 dimes,
gayaneshka [121]

Answer:

11, 12.

Step-by-step explanation:

Let q represent number of quarters.

We have been given that Caroline has a maximum of 15 coins worth at least $2.85 combined. We are also told that Caroline has 3 dimes. This means that total coins are less than or equal to 15.

We can represent this information in an inequality as:

q+3\leq 15...(1)

We are also told that the coins worth at least $2.85 combined. This means that the worth of all coins is greater than or equal to 2.85.

We know that each dime is worth $0.10 and each quarter is worth $0.25.

0.25q+3(0.10)\geq 2.85...(2)

Now, let us solve our system of inequalities.

From 1st inequality, we will get:

q+3-3\leq 15-3

q\leq 12

From 2nd inequality, we will get:

0.25q+0.30\geq 2.85

0.25q+0.30-0.30\geq 2.85-0.30

0.25q\geq 2.55

\frac{0.25q}{0.25}\geq \frac{2.55}{0.25}

q\geq 10.2

Upon combining our both inequalities, we will get:

10.2\leq q\leq 12

This means that numbers of quarters would be greater than or equal to 10.2 and less than or equal to 12.

Since we cannot have 0.2 of a coin, therefore, Caroline could have 11 or 12 quarters.

6 0
3 years ago
w Wo Shoes With so much to explore in every city, Debbie needs to purchase a new pair of comfy and supportive walking shoes The
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Answer:

$47.988-$47.99

Step-by-step explanation:

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6 0
2 years ago
6. Which type of angle pair are LSM and OSN?
Elina [12.6K]

6. vertical

7. LSM and MSN are vertical angles

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8 0
3 years ago
Read 2 more answers
What are the two solutions?
Readme [11.4K]

Answer:

A

Step-by-step explanation:

really ? you need help to calculate the 2 results of

(2 ± 6) / 2

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one result is

(2 + 6) / 2 = 8/2 = 4

the other result is

(2 - 6) / 2 = -4/2 = -2

there ! that is all there is to it.

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4 0
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