The following stem-and-leaf plot represents the scores earned by Mr. Wood's class on their most recent science test.

How much more would $1,000 earn in 5 years in an account compounded continuously than an account compounded quarterly if the int

s2008m [1.1K]

Answer: There is a difference of $ 1.0228.

Explanation: Given, initial amount or principal = $ 1000,

Time= 5 years and given compound rate of interest = $3.7%

Now, Since the amount in compound continuously,

$A= Pe^{rt}$ , where, r is the rate of compound interest, P is the principal amount and t is the time.

Here, P=$ 1000, t=5 years and r= $3.7%,

Thus, amount in compound continuously , $A=1000e^{3.7\times5/100}$

⇒ $A=1000e^{18.5}=1000\times 1.20321844013=1203.21844013$

Therefore, interest in this compound continuously rate =1203.21844013-1000=203.21844013

now, Since the amount in compound quarterly,

$A=P(1+\frac{r/4}{100} )^{4t}$ , where, r is the rate of compound interest, P is the principal amount and t is the time.

Thus, amount in compound quarterly, $A=1000(1+\frac{3.7/4}{100} )^{4\times5}$

⇒ $A=1000(1+\frac{3.7}{400} )^{20}$

⇒ $A= 1202.19567617$

Therefore, interest in this compound quarterly rate=1202.19567617-1000=202.19567617

So, the difference in these interests=203.21844013-202.19567617=1.02276396 ≈1.0228

4 0

2 years ago

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You want to know how many cups of birdseed are in each new bag. Which situation about Hayley’s birdseed best represents the equa

allochka39001 [22]

The answer is D. The +1 refers to the extra cup leftover from a previous bag. X represents how many cups are in each bag, and that is what you need to know. The three represents how many bags she bought, and the 25 represents how many cups of birdseed she had overall.

Hopefully this helps!

7 0

3 years ago

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THIS IS URGENT<br> One meter equals about 39.37 inches. About how many inches are in 3.2 meters?

liubo4ka [24]

The answer is 125.9 hope this helps

4 0

3 years ago

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In preparation for the holiday season, Big Bird Co. decided to increase production of stuffed Bert characters by 30%.

marin [14]

Answer:

the additional characters will the factory creating per day is 105 characters

Step-by-step explanation:

The computation of the additional characters will the factory creating per day is shown below

= Number of character produced × (1 + increased percentage)

= 350 × (1 + 0.30)

= 350 × 1.30

= 455 characters

Now the additional characters would be

= 455 - 350

= 105 characters

hence, the additional characters will the factory creating per day is 105 characters

3 0

2 years ago

Tell whether the following set is an empty set or not.

Liono4ka [1.6K]

Answer:

It is not an empty set

Step-by-step explanation:

A quadrilateral with 3 obtuse angles is possible.

A obtuse angle has a measure of more than 90 degrees and less than 180 degrees.

Let’s say three angles are measuring 91 degrees in a quadrilateral.

91 + 91 + 91 + x = 360

x = 87

The measure of the fourth angle is 87 degrees which is less than 360 degrees and is a positive integer, so it is possible.

7 0

2 years ago

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