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3 years ago

11

A construction worker estimates that a kitchen remodel will take 1 person 112 hours. If 4 people work on the job for 7 hours a d

ay, how many days will it take for them to complete the job?

1 answer:

Blababa [14]3 years ago

3 0

It will take them 16 days to complete the job

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Find the sum of the geometric series 40 + 40(1.005) + 40(1.005)^2 + ⋯ + 40(1.005)^11.

KiRa [710]

Answer:

The sum is 493.4

Step-by-step explanation:

In order to find the value of the sum, you have to apply the geometric series formula, which is:

$\sum_{i=1}^{n} ar^{i-1} = \frac{a(1-r^{n})}{1-r}$

where i is the starting point, n is the number of terms, a is the first term and r is the common ratio.

The finite geometric series converges to the expression in the right side of the equation. Therefore, you don't need to calculate all the terms. You can use the expression directly.

In this case:

a=40

b= 1.005

n=12 (because the first term is 40 and the last term is 40(1.005)^11 )

Replacing in the formula:

$\frac{a(1-r^{n})}{1-r} = \frac{40(1-1.005^{12})}{1-1.005}$

Solving it:

The sum is 493.4

4 0

3 years ago

The perimeter of a rectangle is 20.2 CM and it's area is 24.4 cm squared what is its length and width

erma4kov [3.2K]

Answer:

Length of Rectangle = 4 cm And

Width of Rectangle = 1.9 cm

Step-by-step explanation:

Given as :

The perimeter of rectangle = 20.2 cm

The area of rectangle is 24.4 cm

Let the length be L

And width be w

Now Area of rectangle = Length × width

Or, 24.4 = L × W

And Perimeter = 2 (Length + Width ) = 2 (L + W )

Or, 20.2 = 2(L + W )

Or , L + W = 10.1 cm ............ 1

Now, (L - W )² = (L + W)² -4 LW

Or, (L - W )² = ( 10.1)² -4 (24.4)

I.e (L - W )² = 4.41

Or , L - W = 2.1 cm .............. 2

SO , From 1 and 2

( L + W) + (L - W) = 10.1 cm - 2.1 cm

Or, 2L = 8

∴ Length = 4 cm

Again , Width = 4 cm - 2.1 cm = 1.9 cm

Hence Length of Rectangle = 4 cm And

Width of Rectangle = 1.9 cm Answer

6 0

3 years ago

28 is 12 less than k equation

Virty [35]

K-12=28...? I think this is what your question is asking for

5 0

3 years ago

Which point has the coordinate 1.6? Online graphic for number line in online checkpoint A. H B. J C. F D. G

dem82 [27]

The answer is option B i.e., Point F because 0-2 there are 10 divisions and point J is before 2 so it is clear that point J has coordinate 1.6.

4 0

3 years ago

maxonik [38]

Answer:

a. 3/4 mile

Step-by-step explanation:

We assume that Lewis's property is 1 3/4 square miles in area, and that it has a length of 2 1/3 miles. We can find the width using the area formula.

A = LW

1 3/4 = (2 1/3)W

7/4 = (7/3)W . . . . . change to improper fractions

(3/7)(7/4) = W = 3/4 . . . . multiply by 3/7

The width of the property is 3/4 mile.

7 0

3 years ago