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3 years ago

Mr. Guny deposits $4,900 in a savings account that pays 3 1/2% interest compounded quarterly.

Mathematics

1 answer:

Fittoniya [83]3 years ago

7 0

9514 1404 393

Answer:

see attached

Step-by-step explanation:

A spreadsheet performs these computations nicely. Each quarter's interest is 0.035/4 times the balance at the end of the previous quarter, rounded to the nearest penny. Each quarter's balance is the sum of the interest and the previous balance.

See the attached for the numbers requested.

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What is the image point of (2,-5)(2,−5) after a translation right 4 units and up 3 units?

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Answer:

(5,-1)

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2 years ago

A rectangular box without a lid is to be made from 48 m2 of cardboard. Find the maximum volume of such a box. SOLUTION We let x,

tatiyna

Answer:

The maximum volume of such box is 32m^3

V = x×y×z = 32 m^3

Step-by-step explanation:

Given;

Total surface area S = 48m^2

Volume of a rectangular box V = length×width×height

V = xyz ......1

Total surface area of a rectangular box without a lid is

S = xy + 2xz + 2yz = 48 .....2

To be able to maximize the volume, we need to reduce the number of variables.

Let assume the rectangular box has a square base,that means; length = width

x = y

Substituting y with x in equation 1 and 2;

V = x^2(z) ....3

x^2 + 4xz = 48 .....4

Making z the subject of formula in equation 4

4xz = 48 - x^2

z = (48 - x^2)/4x .......5

To be able to maximize V, we need to reduce the number of variables to 1, by substituting equation 5 into equation 3

V = x^2 × (48 - x^2)/4x

V = (48x - x^3)/4

differentiating V with respect to x;

V' = (48 - 3x^2)/4

At the maximum point V' = 0

V' = (48 - 3x^2)/4 = 0

Solving for x;

3x^2 = 48

x = √(48/3)

x = √(16)

x = 4

Since x = y

y = 4

From equation 5;

z = (48 - x^2)/4x

z = (48 - 4^2)/4(4)

z = 32/16

z = 2

The maximum volume can be derived by substituting x,y,z into equation 1;

V = xyz = 4×4×2 = 32 m^3

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3 years ago

La suma de 3 más el doble de un número es igual a ese número pero con signo negativo.llamemos x al número desconocido.

nydimaria [60]

Answer:

x = -1

Step-by-step explanation:

3 + 2x = -x

- 2x - 2x

3 = -3x

divides 3 por ambos lados del signo igual

x = -1

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3 years ago

Cos6x + cos2x + 2cos4x

Troyanec [42]

Step-by-step explanation:

everything can be found in the picture

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3 years ago

Write the standard form and word form for the decimal represented by 700+40+0.6+0.08+0.006. what is the relationship between the

eduard

In standard form, it is expressed as 7.407 * 10^2 while he relationship between the values of the two 6s is that 0.6 is to the nearest tenth and 0.006 is to nearest thousandth

<h3>Expressing decimals in standard form</h3>

The standard form of an equation is expressed as A * 10^n

where

A is any number between 1 and 10

n is any integer

Given the sum below;

700+40+0.6+0.08+0.006.

Take the sum of the expression

740 +0.6 + 0.08 + 0.006

740.686

In standard form, it is expressed as 7.407 * 10^2 while he relationship between the values of the two 6s is that 0.6 is to the nearest tenth and 0.006 is to nearest thousandth

Learn more on standard form here: brainly.com/question/525947

#SPJ1

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2 years ago