Answer:
5%
Step-by-step explanation:
The question showing a growing function that commonly used in compound interest calculation. The formula for compound interest is:
A = P (1 +r) ^ t
A= amount of the balance after a period of t
P= principal, the initial money deposit
r= rate
t= time
The percent of balance increase should be represented by the rate(r). In this equation, the principal will be 130, (1+r) will be 1.05, and time will be x.
The value of rate (r) will be:
(1+r) = 1.05
r= 1.05-1= 0.05 = 5%
Answer:
Variables that have are measured on a numeric or quantitative scale. Ordinal, interval and ratio scales are quantitative.
Step-by-step explanation:
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Answer/Step-by-step explanation:
✔️Find EC using Cosine Rule:
EC² = DC² + DE² - 2*DC*DE*cos(D)
EC² = 27² + 14² - 2*27*14*cos(32)
EC² = 925 - 756*cos(32)
EC² = 283.875639
EC = √283.875639
EC = 16.85 cm
✔️Find the area of ∆DCE:
Area = ½*14*27*sin(32)
Area of ∆DCE = 100.15 cm²
✔️Since ∆DCE and ∆ABE are congruent, therefore,
Area of ∆ABE = 100.15 cm²
✔️Find the area of the sector:
Area of sector = 105/360*π*16.85²
Area = 260.16 cm² (nearest tenth)
✔️Therefore,
Area of the logo = 100.15 + 100.15 + 260.16 = 460.46 ≈ 460 cm² (to 2 S.F)
Answer:
Step-by-step explanation:
If AB is parallel to CD and there is a transversal cutting through both (as there is, although it is not named here), then by the definition of corresponding angles, angles 1 and 5 are corresponding and are therefore, congruent. If angle 1 measures 120 then so does angle 5. Learn these...they're very important and are prevalent in triangle stuff in geometry!!!
Answer:
= 147.1369 pi
Step-by-step explanation:
The diameter is 24.26
The radius is d/2 = 24.26/2 =12.13
The area of a circle is
A = pi r^2
= pi (12.13)^2
= 147.1369 pi
