Answer:
Area of the base = 24 cm²
Height of the prism = 5 cm
Volume of the prism = 120 cm³
To calculate amount accrued after a given period of time we use the compound interest formula: A= P(1+r/100)∧n where A i the amount, P is the principal amount, r is the rate of interest and n is the interest period.
In the first part; A= $ 675.54, r= 1.25% (compounded semi-annually) and n =22 ( 11 years ), hence, 675.54 = P( 1.0125)∧22
= 675.54= 1.314P
P= $ 514.109 , therefore the principal amount was $ 514 (to nearest dollar)
Part 2
principal amount (p)= $ 541, rate (r) = 1.2 % (compounded twice a year thus rate for one half will be 2.4/2) and the interest period (n)= 34 (17 years×2)
Amount= 541 (1.012)∧34
= 541 ×1.5
= $ 811.5
Therefore, the account balance after $ 811.5.
We need to find the surface area and volume for each rectangular prism. Here are the formulas I'm going to plug each prism's measurements.
S.Area=2(lw+wh+lh)
Volume: lwh
Question 75:
Volume: 3×1×3=9 cm³
Surface Area= 2(3)+2(3)+2(9)=6+6+18=30 cm²
Question 76:
Volume: 6×2×5=60 ft.³
Surface Area: 2(12)+2(10)+2(30)=24+20+60=104 ft²
Question 77:
Volume: 4×2×6=48 m³
Surface Area: 2(8)+2(12)+2(24)=16+24+48=88 m²
Answer:
answer is true because 27 is belong between 14 to 32 so, it true
Answer:
a = 38⁰
b = 54⁰
c = 54⁰
Step-by-step explanation:
a + 142⁰ = 180⁰ because a straight line = 180⁰
b + 38⁰ + 88⁰ = 180⁰ because the angles of a triangle equal 180⁰, and the missing measurement = 38⁰ because it is a vertical angle to angle a
c + 88⁰ = 142⁰ because the angles are corresponding angles
