Mathematics, 09.02.2021 17:40 jalayshiamartin

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Answer from: mylittleponeyfbrarit

1. P is the principal amount, $630.00.
r is the interest rate, 6.5% per year, or in decimal form, 6.5/100=0.065.
t is the time involved, 4year(s) time periods.
So, t is 4year time periods.
To find the simple interest, we multiply 630 × 0.065 × 4 to get that:
The interest is: $163.80

2. =8000 x 9 x 18
=12,960
Total amount = 12960 +8000=
$20,960
3. annual interest rate = 15.9 %
initial charge = $126
to get the annual interest paid = 15.9% of $126
= 0.159 * $126 = $20.03
monthly interest paid would be = annual interest / 12 months
= 20.03 / 12 = $1.67
hence in 2 months Rita will pay = initial charge + monthly interest * 2
= $126 + $ 1.67 *2 = $ 126 + $3.34
= $ 129 .34

4. To find the amount of money in the account after 8.5 years we will first turn 5.6% into a decimal. We'll do that by moving the decimal within the percentage two places to the left. That leaves us with 0.056.
Next, we'll multiply our factors to help us find out how much interest will be accrued within the 8.5 years.
500 x 0.056 x 8.5 = 238.
Margarito will earn $238 within an 8.5 year time frame.
Since her original deposit was $500 and assuming no other deposits/withdrawls occur within the time frame, we will add $238 of interest to the original deposit.
500 + 238 = 738.
This means, that Margarito will have $738 in her savings account after 8.5 years of just accruing interest.

5. $18,260 divided by (/) $220,000 = .083 or .08. The interest is 8%.
Because Kelli is earning $18,260 a year, you need to get the number down to a decimal (which would be the interest) So, you have to divide the smaller number by the larger number. I use
x 18260

100 % 220000
multiply 100x18260 and then divide by 220000. You get 8.3, or 8.3%, but if you round up, you get 8%.

Answer from: beccamae9526

1. 163.80
2. 12,960
3. 3.34
4. 738
5. 8.3%

Answer from: Quest

perimeter of the first rectangular board is 9 feet.

step-by-step explanation:

let p = perimeter of first board.

l = length of first board

w = width of first board

length of first board = 2 * width of first board - 3

l = 2w - 3

perimeter of first board = 2l + 2w

since l = 2w-3, then

p = 2*(2w-3) + 2w which equals 4w-6 + 2w which equals 6w-6

length and width of the second board are reciprocals of corresponding length and width of the first board.

length of second board = 1/(2w-3)

width of second board = 1/w

perimeter of second board is 1/5th perimeter of the first board.

perimeter of second board = p/5

perimeter of the second board = (2/(2w-3) + 2/w)

since the perimeter of the first board is 5 times the perimeter of the second board, this means that:

6w-6 = 5*(2/(2w-3) + 2/w)

which is the same as:

6w-6 = (10/(2w-3) + 10/w)

if we multiply both sides of this equation by (2w-3), we get:

(6w-6)*(2w-3) = 10 + 10*(2w-3)/w

if we multiply both sides of this equation by w, we get:

(6w-6)*(2w-3)*w = 10*w + 10*(2w-3)

we can simplify this to become:

(6w-6)*(2w-3)*w = 10w + 20w - 30

which becomes:

(6w-6)*(2w-3)*w = 30w-30

if we divide both sides of this equation by (6w-6), we get:

(2w-3)*w = (30w-30)/(6w-6)

which becomes:

(2w-3)*w = 5

this can be simplified to:

2w^2 - 3w = 5

subtract 5 from both sides of this equation to get:

2w^2 - 3w - 5 = 0

which can be factored into:

(2w-5)*(w+1) = 0

which makes:

w = 5/2

w = -1.

w can't be negative so the only possible answer is w = 5/2.

if w = 5/2, then

p = 2w-3 = 5-3 = 2

we have:

p = 2

w = 5/2

p = 2l + 2w gets p = 4 + 5 = 9

the perimeter of the first board is 9 feet.

since the perimeter of the second board is 1/5 the perimeter of the first board, the perimeter of the second board is 9/5.

to see if that's correct, we substitute known values for l and w into the second board.

the length of the second board is 1/l.

this becomes 1/2.

the width of the second board is 1/w

this bgecomes 1/(5/2) = (2/5)

let l2 = length of second board.

let w2 = width of second board.

l2 = (1/2)

w2 = (2/5)

let p2= perimeter of second board.

then p2 = 9/5

since p2 = 2*l2 + 2*w2, we should get p2 = 9/5 using the dimensions of l2 and w2.

2 * l2 = 2 * (1/2) = 1

2 * w2 = 2 * (2/5) = 4/5

1 is the same as 5/5

5/5 + 4/5 = 9/5

p2 checks out good.

the dimensions as given are good.

answer to the problem is:

perimeter of the first rectangular board is 9 feet.

Answer from: Quest

step-by-step explanation:

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