Answer:
$3100 is invested at 9%
$4900 is invested at 11%
Step-by-step explanation:
Let's take "x" be the amount invested at 9%.
(x + 1800) is invested in another account at 11%.
The interest amount earned by the two accounts is $818.
Here we can use the simple interest formula and find the amount invested in each account.
Simple interest (I) = , where P- is the principal , N is the number of years and R is the interest rate.
Simple interest =
0.09x + 0.11(x+1800) = 818
Now we have to simplify and find the value of x .
Use the distributive property and simplify the second term.
0.09x + 0.11x + 198 = 818
0.2x + 198 = 818
0.2x =818 - 198
0.2x = 620
x = 620/0.2
x = 3100.
So $3100 is invested at 9%
x + 1800 = 3100 + 1800
= $4900
$4900 is invested at 11%
Hope this helped.
Answer:
x = 0
Step-by-step explanation:
There's no horizontal shift.
Answer:
Blair chosen to purchase shirt from company B. Given:
Each shirt costs 3.10$
Shipping cost is 4% (0.04) of total order.
=>Total cost without shipping: 150 x 3.10 = 465$
=> Total cost with 4% of shipping: 465 + 465 x 0.04 = 483.6$
=> Total cost Blair paid for one shirt: C = 483.6/150 = 3.22$
The markup is 75% of original cost:
=> Blair can multiply the total cost for one shirt by 0.75
Blair will sell shirt with price which is equal to the sum of total cost for one shirt and markup:
=> P = 3.22 + 3.22 x 0.75 = 5.64$
Hope this helps!
:)
Answer:
Step-by-step explanation:
Total number of tools for both = 564.
Dr Brown used 386 tools for 6 experiments.
average number of tools per experiment used by Dr Brown = 
= 64
Dr Rachal used 236 tools for 8 experiments.
average number of tools per experiment used by Dr Rachal = 
= 29
i. The number of more experiment that can be done by Dr Brown = (564 - 386) ÷ (64)
= 2.7668
Dr Brown can do two more experiments.
The number of more experiments that can be done by Dr Rachal = (564 - 236) ÷ (29)
= 11.1186
Dr Rachal can do 11 more experiments.
ii. Number of tools left after Dr Brown's experiments = 564 - 386
= 178
Number of tools left after Dr Rachal's experiments = 564 - 236
= 328
