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dem82 [27]
3 years ago
5

A large rectangular room needs to be carpeted and has dimensions 18.75 ft by 28 ft.

Mathematics
1 answer:
vichka [17]3 years ago
3 0

Answer:

$13912.50

Step-by-step explanation:

First you find how much carpet you need by finding the area of the room.

18.75*28= 525ft^2

Then multiply the amount of carpet needed by 26.50 to find the total cost.

525*26.50= 13912.50

Hope this helps!

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Kristen invests $ 5745 in a bank. The bank 6.5% interest compounded monthly. How long must she leave the money in the bank for i
podryga [215]

Answer:

1. 10.7 years

2. 17.0 years

3. 2nd option

Step-by-step explanation:

Use formula for compounded interest

A=P\cdot \left(1+\dfrac{r}{n}\right)^{nt},

where

A is final value, P is initial value, r is interest rate (as decimal), n is number of periods and t is number of years.

In your case,

1. P=$5745, A=2P=$11490, n=12 (compounded monthly), r=0.065 (6.5%) and t is unknown. Then

11490=5745\cdot \left(1+\dfrac{0.065}{12}\right)^{12t},\\ \\2=(1.0054)^{12t},\\ \\12t=\log_{1.0054}2,\\ \\t=\dfrac{1}{12}\log_ {1.0054}2\approx 10.7\ years.

2. P=$5745, A=3P=$17235, n=12 (compounded monthly), r=0.065 (6.5%) and t is unknown. Then


17235=5745\cdot \left(1+\dfrac{0.065}{12}\right)^{12t},

3=(1.0054)^{12t},

12t=\log_{1.0054}3,

t=\dfrac{1}{12}\log_{1.0054}3\approx 17.0\ years.

3. <u>1 choice:</u> P=$5745, n=12 (compounded monthly), r=0.065 (6.5%), t=5 years and A is unknown. Then

A=5745\cdot \left(1+\dfrac{0.065}{12}\right)^{12\cdot 5},\\ \\A=5745\cdot (1.0054)^{60}\approx \$7936.39.

<u>2 choice:</u> P=$5745, n=4 (compounded monthly), r=0.0675 (6.75%), t=5 years and A is unknown. Then

A=5745\cdot \left(1+\dfrac{0.0675}{4}\right)^{4\cdot 5},\\ \\A=5745\cdot (1.0169)^{20}\approx \$8032.58.

The best will be 2nd option, because $8032.58>$7936.39

5 0
2 years ago
Read 2 more answers
You want to buy an item that costs $100. Which is the most cost-effective choice for buying the item?
Lilit [14]
C. Buying it a percent discount without sales tax.

Because of not having to pay $10, so it is awesome.
5 0
3 years ago
Math help please (80 points)
Inga [223]

Answer:

1. x^4 -x^3 -4x^2 -3

a1 = -7.4

an = an-1 -13.8  (choice 1)

Step-by-step explanation:

f(x) = x^4 -x^2 +9

g(x) = x^3 +3x^2 +12

We are subtracting

f(x) -g(x) =x^4 -x^2 +9 - ( x^3 +3x^2 +12)

Distribute the minus sign

x^4 -x^2 +9 -  x^3 -3x^2 -12

I like to line them up vertically

x^4      -x^2 +9

-  x^3 -3x^2 -12

-------------------------

x^4 -x^3 -4x^2 -3


2.  a1 = -7.4

To find the common difference, take term 2 and subtract term 1

-21.2 - (-7.4)

-21.2 + 7.4

-13.8

an = an-1 -13.8

5 0
3 years ago
Read 2 more answers
If the probability is 0.54 that Stock A will increase in value during the next month and the probability is 0.68 that Stock B wi
Aloiza [94]

P(A) =0.54

P(B)= 0.68

P'(A)= 1-0.54 = 0.46

P'(B)= 1- 0.68 = 0.32

The probability of neither of both event will occur:

= P'(A)×P'(B)

=0.46 × 0.32

=0.1472

3 0
3 years ago
Please help 10 points
WARRIOR [948]

Answer:

FG = 15

Step-by-step explanation:

Note that

EF + FG = EG ← substitute values into equation, that is

6 + FG = 21 ( subtract 6 from both sides )

FG = 21 - 6 = 15

5 0
3 years ago
Read 2 more answers
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