On the account with interest compounded annually, the account balance will be
P*(1 +r)^t
4500*1.06³ = 5358.57
so the interest earned will be
5358.57 -4500 = 859.57
On the account with simple interest, the interest earned will be
I = Prt
I = 4500*.06*3
I = 810.00
The total interest earned on the two accounts will be
$859.57 +810.00 = $1669.57 . . . . . . . . selection A
Answer:
sin Φ/(sin Φ + cos Φ) = 12/17
Step-by-step explanation:
sin Φ = 12/13
then sin Φ + cos Φ = 12/13 + 5/13
= 17/13
So , sin Φ/(sin Φ + cos Φ) = 12/13 ÷ 17/13
= 12/13 × 13/17
= 12/17
We first need to find the gradient of the line
From the graph, we see the graph intercepts y-axis at -1
Hence, the equation of the line is
Hello! So, this question is in the form of ax² - bx - c. First thingd first, let's multiply a and c together. c = -8 and a = 5. -8 * 5 is -40. Now, let's find two factors that have a product of 40, but a sum of 18. If you list the factors, you see that 2 and 20 have a product of 40, but 2 - 20 is -18. The factors we will use are -2 and 20.
How to factor it:
For this question, you can use something called a box method and factor it by finding a factor of each column and row. Just make 4 boxes and put 5x² on the top left and -40 on the bottom left box. Put 2x on the top right box and -20x on the bottom left box. Now, factor out for each row and column. The factors should be 5x + 2 for the top part and x - 4 for the side. It should look like (5x + 2)(x - 4). Let's check it. Solve it by using the FOIL method and you get 5x² - 20x + 2x - 8. Combine like terms and you get 5x² - 18x - 8. There. The answer is B: (5x + 2)(x - 4)
Note: The box method may be challenging at first, but it can be really helpful on problems like these.
Answer:
5 bags
Step-by-step explanation:
The volume of the tub is the product of its dimensions:
V = (1.8 m)(0.5 m)(0.25 m) = 0.225 m³
There are 1000 L in 1 m³, so this volume in liters is ...
(0.225 m³)(1000 L/m³) = 225 L
At 50 L per bag, the gardener needs ...
(225 L)/(50 L/bag) = 4.5 bags
The gardener probably cannot purchase a partial bag, so must buy more than is needed.
The gardener must buy 5 bags of compost to fill the tub.
