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3 years ago

$1400 from fund-raisers in a 18-month CD paying 3.7%

Mathematics

1 answer:

saw5 [17]3 years ago

8 0

Answer:

The junior class will receive US$ 1,479.77 when it cashes in the Certificate of Deposit.

Step-by-step explanation:

1. Let's review the data given to us for answering the question:

Amount invested in the Certificate of Deposit = US$ 1,400

Duration of the CD = 18 months

Interest rate = 3.7% compounded monthly

2. Let's find the future value of the Certificate of Deposit after 18 months, using the following formula:

FV = PV * (1 + r) ⁿ

PV = Amount invested = US$ 1,400

number of periods (n) = 18

rate (r) = 3.7% = 0.037 annually or 0.003083 monthly

Replacing with the real values, we have:

FV = 1,400 * (1 + 0.003083) ¹⁸

FV = 1,400 * (1.003083) ¹⁸

FV = 1,400 * 1.056978

FV = US$ 1,479.77 (Rounding to the nearest cent)

The junior class will receive US$ 1,479.77 when it cashes in the Certificate of Deposit.

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A bus traveled on a level road for 4 hours at an average speed of 20 miles per hour faster than it traveled on a winding road. T

Kruka [31]

To solve this problem, we must recall that the formula for velocity assuming linear motion:

v = d / t

Where,

v = velocity

d = distance

t = time

For condition 1: bus travelling on a level road

v1 = d1 / t1

(v2 + 20) = (449 – d2) / 4 --->1

For condition 2: bus travelling on a winding road

v2 = d2 / t2

v2 = d2 / 5 --->2

Combining equations 1 and 2:

(d2 / 5) + 20 = (449 – d2) / 4

0.8 d2 + 80 = 449 – d2

1.8 d2 = 369

d2 = 205 miles

Using equation 2, find for v2:

v2 = 205 / 5

v2 = 41 mph

Since v1 = v2 + 20

v1 = 41 + 20

v1 = 61 mph

Therefore the average speed on the level road is 61 mph.

4 0

3 years ago

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steposvetlana [31]

Answer:

y-6 = -7x + 21

Step-by-step explanation:

Find the slope

(-8 - 6)/(5-3)

-14/2 = -7

Now find the formula

y-6=-7(x - 3)

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Another way to write it is

y= -7x + 27

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3 years ago

How many different sandwiches can be made from the following options?

Alekssandra [29.7K]

Answer:

Step-by-step explanation:

By using the fundamental counting principle, we can do 4 x 3 x 6 = 72 to find how many different sandwiches can be made.

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3 years ago

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anygoal [31]

Answer:

Nominal, Ordinal, interval or Ratio scale, Nominal.

Step-by-step explanation:

In Statistics, we can assort qualitative variables as nominal, for non-numerical values (Good, Yes, Man, Woman, Excellent, Tall, etc.). For numerical ones, we can rank them orderly, id est, ordinal (1st, 2nd, 3rd, 4th, etc.). Moreover, we can also categorize some numerical variables as an interval or ratio scale (90º F, 6' 2'' etc.).

Examining each one:

1. Would your overall rating of this tour be excellent, good, fair, or poor? Nominal.

These are not numerical. These are qualitative classification.

2. How many escorted vacations have you taken prior to this one?

Ordinal. The 1st, 2nd, 3rd, etc.

3. What is the current temperature outside? Interval or Ratio Scale

This is a classic Interval classification example. Since the temperature is graded in intervals then this an Interval.

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Another non-numerical classification

3 0

3 years ago

20 people fit comfortably in a 9 feet by 10 feet area. Use this value to estimate the size of a crowd that is 7 feet deep on BOT

kari74 [83]

Answer:

389 people

Step-by-step explanation:

Step 1

we convert 1500 inches to feet

1 inch = 0.0833 feet

1500 inches = x feet

x = 1500 × 0.0833

x = 125 feet

Step 2

We create a proportion

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x = 388.88888889

approximately = 389 people

5 0

3 years ago

$1400 from​ fund-raisers in a 18​-month CD paying 3.7​%

$1400 from fund-raisers in a 18-month CD paying 3.7%