A business rents in-line skates and bicycles.
During one day the business has a total of 26 rentals and;
Collects $485 for the rentals.
In-line skates are rented for $10 per day and;
Bicycles are rented for $35 per day.
Solution:
Let the number of in-line skates rented be x and;
The number of bicycles rented be y.
x + y = 26 ... (i)
10x + 35y = 485 ... (ii)
This forms a system of linear equations (i) and (ii)
Solving this system by elimination;
We multiply (i) by 10 and (ii) by 1
10x + 10y = 260 ... (i)
10x +35y = 485 ... (ii)
Subtracting (ii) - (i) gives;
25y = 225 , y = 225/25 = 9
x = 26 - 9 = 17
The number of in-line skates rented were 17.
The number of bicycles rented were 9.
Coordinate Grid
A.
{–3, –2, 0, 2}
B.
{–3, 3}
C.
{–4, –2, 1, 2}
D.
{–4, –3, –2, 1, 0, 2}
Answer:
41.2 feet of wallpaper
100.8 square feet of carpet
Step-by-step explanation:
The wallpaper is going to be around all the four walls of the bedroom and to know how many feet of wallpaper we know that the bedroom is:
12.6 feet long and 8 feet wide.
So two walls are 12.6 feet and two are 8 feet, so we have to add the total of feet the perimeter of the bedroom is:
12.6+12.6+8+8 = 41.2 feet of wallpaper.
With the carpet, we need to know the area of the room because it will be on the floor. The formula for the area of a rectangle is:
A=L*W
where:
A is area
L is length
W is wide
Now we will substitute the data we have in the formula:
A = 12.6 * 8
A = 100.8 square feet of carpet.
$4770
$3744
$3175
$2850
Question 4. Josh earns $2700 each summer and puts the money in a savings account with a 4.5% simple interest rate. If he deposits the same amount each year, how much money will he have at the end of his third summer?
(Points : 1)
$4770
$8464.50
$9125.70
$12,850
Question 5. Emily deposits $14,500 each year into a retirement account with a 7% simple interest rate. If she deposits the same amount each year, how much money will she have at the end of her fourth year?
(Points : 1)
$17,545
$48,045
$64,090
$75,780
Answer: The answers are (3). $3744, (4). $8464.50, (5). $62060.
Step-by-step explanation: The calculations are as follows :
(3) Here, P = $1200, r% = 4%, T=3 years.
Therefore, Simple Interest is given by
So, the amount of money Ben will have at the end of third summer will be
Thus, the amount is $3744.
(4) Here, P = $2700, r% = 4.5%, T=3 years.
Therefore, Simple Interest is given by
So, the amount of money Josh will have at the end of third summer will be
Thus, the amount is $8464.5
(5) Here, P = $14500, r% = 7%, T=4 years.
Therefore, Simple Interest is given by
So, the amount of money Emily will have at the end of fourth year will be
Thus, the amount is $62060.
{y=-7
{4x+y=9 Substitute y.
4x+(-7)=9
4x-7=9 /+7
4x=16 /:4
x=4
Solution; (4; -7)
A. a = 7/18
B. a + 7 =18
C. a = 18/7
D. a = 18 * 7