Answer:
(-3,7)
Step-by-step explanation:
Answer:
4.3cm
Step-by-step explanation:
the radius of the hemisphere can be determined its volume
volume of a hemisphere = (2/3) x (n) x (r^3)
n = 22/7
r = radius
(2/3) x (22/7) x( r^3) = 165 cm^3
44/21 x r^3 = 165
divide both sides of the equation by 21/44
165 x 21/44
r^3 = 78.75
find the cube root
r = 4.2863 cm
the tenth is the first number after the decimal place. To convert to the nearest tenth, look at the number after the tenth (the hundredth). If the number is greater or equal to 5, add 1 to the tenth figure. If this is not the case, add zero
the 100th terms, 8 is greater than 6, so add 1 to 2. this give 4.3cm
Answer:
Randy is 48 years old
Sandy is 12 years old
Todd is 27 years old
<em></em>
Step-by-step explanation:
Given
Represent their ages with the first letters of their names:
Required
Determine their individual ages
We'll solve the above equations using substitution method of simultaneous equations
Substitute 15 + S for T and 4 * S for R in
This gives:
Collect Like Terms
Divide through by 6
<em>This implies that Sandy is 12 years old</em>
Substitute 12 for S in and
<em>This implies that Randy is 48 years old and Todd is 27</em>
Answer:
after 8years
Step-by-step explanation:
Complete question;
In what time will Rs 10000 will yield a compound interest of Rs 2769 at 3% per annum
Using the compound interest formula;
A =P(1+r)^n
Given
P = Rs10000
A = 10000+2769
A = 12769
rate = 3% = 0.03
Substitute and get the time t
12769 = 10000(1+0.03)^n
12769/10000 = 1.03^n
1.2769 = 1.03^n
log 1.2769 = nlog1.03
n = log 1.2769/log 1.03
n = 0.1062/0.01283
n = 8.27
Hence the time is approximately after 8years
Answer:
Step-by-step explanation:
Denote first four terms of the geometrc sequence as
Note that
Then the common ratio is
Therefore, the recursive formula for the geometric sequence is
