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evablogger [386]
2 years ago
11

[BRAINLIEST] a. Nick deposits money in a Certificate of Deposit account (CD). The balance (in dollars) in his account t years af

ter making the deposit is given by N(t)=400(1.06)tfor t ≥ 0. Explain, in terms of the structure of the expression for N(t), why Nick's balance can never be $399.
Mathematics
1 answer:
crimeas [40]2 years ago
4 0

Answer:

(1.06)0 = 1  and positive powers of 1.06 are larger than 1, thus the minimum value N(t) attains, if t≥0, is 400.

From the point of view of the context, a CD account grows in value over time so with a deposit of $400 the value will never drop to $399.

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Students were surveyed about their favorite colors 1/4 of the students preferred read 1/8 of the students preferred blue and 3/5
Elanso [62]

Answer: the number of students that were surveyed is 40

Step-by-step explanation:

Let x = total number of students that were surveyed about their favorite colors

1/4 of the students preferred red.

This means that the number of students that preferred red is 1/4 × x = x/4

1/8 of the students preferred blue.

This means that the number of students that preferred blue is 1/8 × x = x/8

The remaining number of students will be the total number of students - the sum of the number of students that preferred red and the number of students that preferred blue. It becomes

x - (x/4 + x/8) = x - 3x/8 = 5x/8

3/5 of the remaining students were for green. This means that the number of students that preferred green is 3/5 × 5x/8 = 3x/8

if 15 students prefer green, then

3x/8 = 15

3x = 120

x = 120/3 = 40 students

5 0
3 years ago
Alright a real question I need help on
andreyandreev [35.5K]
B is your answer to this question
3 0
2 years ago
The GCF of the following numbers. 32 and 40
Simora [160]
The answer should be 8.
4 0
3 years ago
A particular beach is eroding at a rate of 4 centimeters per year. A realtor converts this rate to millimeters per day. Which
Aloiza [94]

Answer:

\frac{4cm}{1year}*\frac{10mm}{1cm}*\frac{1year}{365days}

Step-by-step explanation:

Whenever we are doing unit conversions, we have to remember to make the first ratio and then each successive ratio should be put <em>in such a way</em> that the top and bottom cancels out with each unit and whatever we want, remains.

A simple example would be if we were to just convert from cm to mm. Suppose we want to convert 5 centimeters to millimeters. We can write the ratios is 2 ways:

First:

5cm*\frac{10mm}{1cm}

Second:

5cm*\frac{1cm}{10mm}

The first one is correct since we want mm, mm should be on top and cm should be on bottom form cm and cm to get canceled.

Now, for our problem, we want mm on top and day on bottom. So, cm and year should cancel. Looking at the first choice, the conversion factors are correct & skimming through, we see that

cm and cm cancels (top and bottom), also year and year cancels (top and bottom), it will leave us with mm on top and days on bottom, <em>which is what we want</em>.

First answer choice is right.

6 0
3 years ago
Read 2 more answers
Find the distance between the two points given
Hunter-Best [27]

Answer:

6√2

Step-by-step explanation:

from the graph the coordinates of the points are (2, 5) and (- 4, -1)

the distance is d= √(x2-x1)²+(y2-y1)² = √(-4-2)²+(-1-5)²=√72 = √2*2*2*3*3= 6√2

8 0
3 years ago
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