Answer: Radius = 8.575 cm Step-by-step explanation: Formula for volume of a pyramid is; V_p = ½Ah Where A is area of base and h is height Also, formula for volume of cone is given as; V_c = ⅓πr²h Now, we are told that V_p = V_c and that h is the same for both shapes. Thus ; ½Ah = ⅓πr²h h will cancel out to give; ½A = ⅓πr² Cross multiply to give; 3A/2π = r² Base area of pyramid is given as 154 cm². Thus; (3 × 154)/2π = r² r = √((3 × 154)/2π r = 8.575 cm
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The period of cos is 2π
so the period of cos(4x + π) is 2π/4 = π/2
cos(4x + π) = -cos4x => <span>-3 cos(4x + π) + 6 = 3cos4x + 6
phase shift may be [-</span>π/4,π/4]
amplitude is [-3,3]
Answer:
Given:
Principal= $5,000
After 3 years, Amount= $7,100
After 8 years, Amount= $10,350
Step-by-step explanation:
Interest after 3 years= $7,100- $5,000
=$2,100
Interest in last 5 years= $10,350- $7,100
=$ 3,250
Difference between first 3 years and last 5 years= $3,250- $2,100
=$1,150
Amount= Principal*
10,350=5000
=
2.07=
=1+
1.095-1=
0.095*100=r
r=9.5%
Average rate=
=$475
Answer: C
Step-by-step explanation:
because they solution can only be use to one answer