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Lorico [155]
3 years ago
5

What is the total amount for an investment of $1600 invested at 4.25% for 20 years and compounded continuously?

Mathematics
1 answer:
galina1969 [7]3 years ago
5 0

Answer:

  $3743.43

Step-by-step explanation:

The amount is given by the formula ...

  A = Pe^(rt)

where P is the principal, r is the annual rate compounded continuously, and t is the number of years. Filling in the values, we get ...

  A = $1600·e^(0.0425·20) = $1600·e^0.85

  ≈ $1600·2.33964685 ≈ $3743.43

The amount in the account will be $3743.43.

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A cupcake requires 35 grams of sugar and 50 grams of flour, and a muffin requires 30 grams of sugar and 65
TEA [102]

The inequality that represents the condition based on the number of grams of sugar is 35C + 30M ≥ 460

The  inequality that represents the condition based on the number of grams of flour is 50C + 65M ≤ 970

<u>Solution:</u>

Given, a cupcake requires 35 grams of sugar and 50 grams of flour, and a muffin requires 30 grams of sugar and 65 grams of flour.  

Shawna needs to use up at least 460 grams of sugar to make cupcakes and muffins, and she wants to use at most 970 grams of flour.

Let C denote the number of cupcakes she makes and M the number of muffins she makes.  

Now, let us write an inequality that represents the condition based on the number of grams of sugar.  

Total sugar used ≥ 460 grams.

Sugar used for cupcakes + sugar used for muffins ≥ 460 grams

Number of cupcakes x sugar used for 1 cupcake + number of muffins x sugar for 1 muffin ≥ 460

C \times 35 + M \times 30 ≥ 460

35C + 30M ≥ 460

Now let us write an inequality that represents the condition based on the number of grams of flour.

Total flour used ≤ 970 grams.

Flour used for cupcakes + flour used for muffins ≤ 970 grams

Number of cupcakes x flour used for 1 cupcake + number of muffins x flour for 1 muffin ≤ 970

C \times 50 + M \times 65  ≤ 970.

50C + 65M ≤ 970

Hence, the inequalities are 35C + 30M ≥ 460 and 50C + 65M ≤ 970.

4 0
3 years ago
Max ran 50 meters in 10 seconds. molly ran 30 meters in 5 seconds. who ran faster
Stolb23 [73]
To compare their speed (rate), we need to have the same time or same distance to use as a reference.

Matt ran 50 meters per 10 seconds. Molly ran 30 meters per 5 seconds. If she ran for 5 more seconds, she would have gone 30 more meters, for 30 meters per 10 seconds. Thus, Molly went faster.

Alternately, you could calculate their speeds in meters per (one) second and compare. 50 meters per 10 seconds is 5 meters per second, and 30 meters per 5 seconds is 6 meters per second.
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3 years ago
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The answer is choice A.

We're told that the left and right walls of the cube (LMN and PQR) are parallel planes. Any line contained in one of those planes will not meet another line contained in another plane. With choice A, it's possible to have the front and back walls be non-parallel and still meet the initial conditions. If this is the case, then OS won't be paralle to NR. Similarly, LP won't be parallel to MQ.

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Very easy problem !!! Will be Marked Brainliest :)
Butoxors [25]

Answer: Yes it is reasonable.

Step-by-step explanation:

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Z+x3:use x = 1 and z = 19
pogonyaev

Answer:21

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