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3 years ago

Round 0.424 to the nearest tenth

Mathematics

2 answers:

Advocard [28]3 years ago

6 0

The answer is 0.4 :)

lakkis [162]3 years ago

5 0

0.424 rounded to nearest tenth would be 0.4 as you can not round up because the hundredth place is not 5 or higher

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Solve the system of equations by graphing 3x+y=7 x+2y=4

nignag [31]

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Answer:

(x, y) = (2, 1)

Step-by-step explanation:

The graph of these equations is attached. The solution is ...

(x, y) = (2, 1)

5 0

3 years ago

What is the simplified answer?

alexgriva [62]

Answer:

1/4^18

Step-by-step explanation:

We can simplify the equation by dividing 4^8 on the numerator and on the denominator.

Doing this, we get that 1/4^18 is the answer.

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3 years ago

A storage shed is to be built in the shape of a box with a square base. It is to have a volume of 250 cubic feet. The concrete f

Galina-37 [17]

Answer:

the dimensions of the most economical shed are height = 10 ft and side 5 ft

Step-by-step explanation:

Given data

volume = 250 cubic feet

base costs = $4 per square foot

material for the roof costs = $6 per square foot

material for the sides costs = $2.50 per square foot

to find out

the dimensions of the most economical shed

solution

let us consider length of side x and height is h

so we can say x²h = 250

and h = 250 / x²

now cost of material = cost of base + cost top + cost 4 side

cost = x²(4) + x²(6) + 4xh (2.5)

cost = 10 x² + 10xh

put here h = 250 / x²

cost = 10 x² + 10x (250/ x² )

cost = 10 x² + (2500/ x )

differentiate and we get

c' = 20 x - 2500 / x²

put c' = 0 solve x

20 x - 2500 / x² = 0

x = 5

so we say one side is 5 ft base

and height is h = 250 / x²

h = 250 / 5²

height = 10 ft

3 0

3 years ago

Timmy takes out a loan for $750 for 15 months, but only receives $725 into his bank account. What is the simple interest rate ad

12345 [234]

Answer:

The annual interest rate advertised by the bank is 2.67% or 0.22% per month.

Step-by-step explanation:

Let's evaluate the information given:

Amount of the loan = US$ 750

Duration of the loan = 15 months

Net amount received by Timmy into his bank account = US$ 725

Interests for the loan = Amount of the loan - Net amount received into bank account

Interests for the loan = 750 - 725

Interests for the loan = US$ 25

Now for calculating the interest rate, we do this operation:

Interest rate = Interests for the loan / Amount of the loan

Interest rate = 25/750 = 1/30 = 0.033 * 100 = 3.3%

But let's remember that this is for the total duration of the loan, 15 months. For calculating the annual interest rate, we do the following operation:

Annual interest rate = Loan interest rate/15 * 12 (We use 12 because the year has 12 months)

Annual interest rate = (1/30) /15 * 12

Annual interest rate = (1/30) * 1/15 * 12 = 1/450 * 12 = 12/450 = 4/150 = 2/75 = 0.0267 * 100 = 2.67% (Rounding to two decimals)

The annual interest rate advertised by the bank is 2.67% or 0.22% per month.

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4 years ago

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Answer:

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Step-by-step explanation:

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2 years ago

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