Answer:
(2b+3) (b+7)
Step-by-step explanation:
2b²+17b+21
2b²+14b+3b+21
2b(b+7) + 3(b+7)
(2b+3) (b+7)
Answer:
24 Square Inches
Step-by-step explanation:
Answer:
15
Step-by-step explanation:
answeram I righatjfj
Answer:
see explanation
Step-by-step explanation:
the arc length of a circle is calculated as
arc = circumference of circle × fraction of circle
(5)
circumference (C) is calculated as
C = 2πr ( r is the radius )
here diameter = 12 , then r = 12 ÷ 2 = 6
C = 2π × 6 = 12π ≈ 37.7 m ( to the nearest tenth )
(6)
JK = 2πr × 
= 2π × 7 × 
= 14π ×
= 
≈ 9.2 in ( to the nearest tenth )
(7)
7.5 = 2πr × 
7.5 = 2πr × 
( multiply both sides by 3 to clear the fraction )
22.5 = 2πr ( divide both sides by 2π )
r = 
≈ 3.6 ft
Let's have a variable for each rate
x = account 1 (2.5% rate of interest)
y = account 2 (8% rate of interest)
The formulas we need are:
0.025x + 0.08y = 830 (amount of interest paid)
x + y = 20 000 (combined amount invested)
To solve we will use substitution (isolate for one variable and plugging into the other formula):
x + y = 20 000
x = 20 000-y
0.025x + 0.08y = 830
0.025(20 000-y) + 0.08y = 830
500-0.025y+0.08y=830
500+0.055y=830
0.055y=330
y=6000
Now that we know y (the 2nd account) = $6000 we need to find x. We do this by using the previous formula.
x = 20 000-y
x=20 000 - 6000
x=14000
She invested $14 000 at a 2.5% interest rate and $6 000 at a 8% interest rate.
*Notes:
the percentages were converted into decimal form
you check your answer by plugging the numbers back into the 2 formulas we made
