Answer:
P = 20
Step-by-step explanation:
Hello!
We can solve this by substituting -4 for t.
<h3>Evaluate</h3>
- P = 3t² + 7t
- P = 3(-4²) + 7(-4)
<u>Remember that any negative number squared is the absolute value of that number squared.</u>
- P = 3(|-16|) - 28
- P = 3(16) - 28
- P = 48 - 28
- P = 20
The final evaluation is 20.
Answer:
Length of the other side of the backyard is 80.4 feet.
Step-by-step explanation:
Let the dimensions of the Liam's rectangular backyard = 85 feet × a feet
Diagonal of the rectangle, AD = 117 feet
When we apply Pythagoras theorem in ΔABD,
AD² = AB² + BD²
(117)² = (85)² + BD²
a² = 13689 - 7225
a = √6464
= 80.399 feet
a ≈ 80.4 feet
Therefore, length of the other side of the backyard is 80.4 feet.
Answer:
10.5 %
<u>Skills needed: Financial Math Essentials</u>
Step-by-step explanation:
1) First, before getting started, let's assume the price of the product is
. This variable will be used a lot throughout the problem (
).
2) Marking a price above means increasing the price in order to make money off of the purchased product. When raising something by
percent, the new price would be
.
---> In this case, the price increased by
percent.
This means that it would be: 
New price is: 
3) The shopkeeper is then offering a
percent discount off of this marked price. When offering a
percent discount price, the new price (with discount), expressed algebraically is: 
---> the expression above simplifies to 
In this case,
, 
---> 
This means that
, with discount, has been raised
.
10.5 % is the profit percent
(The profit percent being the final marked up price - purchased price)
Answer:
13
Step-by-step explanation:
Answer:
A=πr2
Step-by-step explanation:
area = pie * radius (to the power of 2)
pie = 3.14
radius = middle point till the line of the circle