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Dmitry [639]
2 years ago
5

Rob deposits $1,000 in a savings account at New York State Bank that pays 1.4% interest, compounded monthly.

Mathematics
1 answer:
Nata [24]2 years ago
8 0

Answer:

14

Step-by-step explanation:

p=$1000

rate percent=1.4%

time=one year

then

1.4/100*100=14

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Step-by-step explanation:

A sequence is an ordered list of numbers.

lim n → ∞ an = 8 means that as n approaches infinity (becomes large), an approaches 8.

lim n → ∞ an = ∞ means that as n approaches infinity (becomes large), an approaches infinity (becomes large).

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2 years ago
In circle S,diameter PN is drawn .If measurement arc MN=110 degrees and PS=10 then find the length of MN to the nearest tenth.Sh
Goryan [66]

Answer:

MN=16.4\ units

Step-by-step explanation:

step 1

Find PN

we know that

PN is a diameter

PS is a radius

PS=10\ units

so

PN=2*PS=2*10=20\ units

step 2

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arc\ MN+arc\ MP=180\°

arc\ MN=110\°

arc\ MP=180\°-110\°=70\°

step 3

Find the measure of angle MNP

we know that

The inscribed angle measures half that of the arc comprising

substitute the value

step 4

Find the measure of angle MPN

we know that

The inscribed angle measures half that of the arc comprising

substitute the value

step 5

Find the measure of angle NMP

The sum of the internal angles of a triangle must be equal to 180 degrees

therefore

The triangle MNP is a right triangle

step 6

Find the length MN

In the right triangle MNP

sin(

substitute the values

sin(55\°)=\frac{MN}{20}

MN=(20)sin(55\°)=16.4\ units

7 0
2 years ago
If 265 identical boxes, each containing 24 books weigh a total of 12,720 pounds, how much does each book weigh?
ivann1987 [24]
Each book ways 2 pounds


please like and rate
3 0
2 years ago
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Many residents of suburban neighborhoods own more than one car but consider one of their cars to be the main family vehicle. The
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Answer:

95.4% of family vehicles is between 1 and 3 years old.

Step-by-step explanation:

We are given the following information in the question:

Mean, μ = 2

Standard Deviation, σ = 6 months = 0.5 year

We are given that the distribution of age of cars is a bell shaped distribution that is a normal distribution.

Formula:

z_{score} = \displaystyle\frac{x-\mu}{\sigma}

P(family vehicles is between 1 and 3 years old)

P(1 \leq x \leq 3)\\\\ = P(\displaystyle\frac{1 - 2}{0.5} \leq z \leq \displaystyle\frac{3-2}{0.5}) = P(-2 \leq z \leq 2)\\\\= P(z \leq 2) - P(z < -2)\\= 0.977 -0.023 = 0.954= 95.4\%

P(1 \leq x \leq 3) = 95.4%

95.4% of family vehicles is between 1 and 3 years old.

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2 years ago
A pilot flew a jet from City A to City B, a distance of 1700 miles. On the return trip, the average speed was 20% faster than th
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