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3 years ago

Luke wants to send 21 parcels by the Express service.

Mathematics

1 answer:

kykrilka [37]3 years ago

3 0

Answer:

Because he has to send <u>one more parcel</u> than the estimation.

Step-by-step explanation:

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The formula s= SA/6 squared gives the length of the side, s, of a cube with a surface area, SA. How much longer is the side of a

stiv31 [10]

The surface area (SA) of a cube can be written as:

SA = 6s²

From here we can write, the length of the side s as:

$s= \sqrt{ \frac{SA}{6} }$

For cube with surface area of 1200 square inches, the side length will be:

$s= \sqrt{ \frac{1200}{6} }=10 \sqrt{2}$ inches

For cube with surface area 768 square inches, the side length will be:

$s= \sqrt{ \frac{768}{6} }=8 \sqrt{2}$ inches

The difference in side lengths of two cubes will be:

$10 \sqrt{2} -8 \sqrt{2}=2 \sqrt{2}$

Rounding to nearest tenth of an integer, the difference between the side lengths of two cubes will be 2.8 inches.

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3 years ago

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Describe how equality and democracy represent traditional American values,

user100 [1]

Answer:

The United States was founded on "equality". Our Declaration of Independence was created to ensure the rights given to us as American citizens and state what must be upheld to protect these rights. Equality comes from a very valued form of Government in America called Democracy. Americans are given the right to freedom of speech, and this represents traditional American values.

4 0

3 years ago

The future value of a certain money market account with a fixed interest rate of

rosijanka [135]

Answer:

D = $8637.45

Step-by-step explanation:

Rate = 3.65% = 0.0365

Principal = 5000

Time (t) = 15 years

N = 12 (since its compounded monthly)

Compound interest (A) = P(1 + r/n)^nt

A = 5000(1 + 0.0365 / 12)^15*12

A = 5000(1 + 0.00304)¹⁸⁰

A = 5000(1.00304)¹⁸⁰

A = 5000 * 1.7269

A = 8634.86

The investment would worth $8634.86

Note: the final answer may vary slightly from the answer in the options due to ± from approximation

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3 years ago

Exterior angles of triangles: help me find the value of x please

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3 years ago

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I will give brainiest to whoever answers correctly !!

tigry1 [53]

Answer:

The graduate will have $4,084.97 when he cashes in the CD at the end of the 36-months.

Step-by-step explanation:

This can be determined using the formula for calculating the future value (FV) formula as follows:

FV = PV * (1 + r)^n ................................. (1)

Where;

FV = Future value or the amount the graduate will have at end of 36 months = ?

PV = Present value or the total amount invested = Cash gifts from friends and relatives + Amount of 3 scholarships he received = $900 + $250 + $300 + $1,400 = $2,850

r = daily interest rate = 1% / 360 = 0.01 / 360 = 0.0000277777777777778

n = number of days = 36 months * 360 days = 12,960

Substituting the values into equation (1), we have:

FV = $2,850 * (1 + 0.0000277777777777778)^12,960

FV = $2,850 * 1.43332224806396

FV = $4,084.96840698229

Approximating to the nearest cent as required, we have:

FV = $4,084.97

Therefore, the graduate will have $4,084.97 when he cashes in the CD at the end of the 36-months.

5 0

3 years ago