Hi there
The formula is
A=p (1+r)^t
A future value
P present value 75
R interest rate 0.05
T time
After 1 year the balance is
A=75×(1+0.05)
A=78.75
After 2 years
A=75×(1+0.05)^(2)
A=82.69
After 5 years
A=75×(1+0.05)^(5)
A=95.72
After 20 years
A=75×(1+0.05)^(20)
A=198.99 round
A=199
Hope it helps
5x²y²+10x²-7y²-14
Factor 5x² and -7 from the expression to get:
5x²(y²+2)-7(y²+2)
Factor out y²+2 from the equation
(5x²-7)(y²+2)
Answer:
19.2
Step-by-step explanation:
You get the mean of a set of numbers by adding them and dividing the sum by how many numbers there are. In this case, you don't know what the individual 8 numbers are, but you can find out what they add up to.
Mean = (sum) / 8
17 = (sum) / 8
17 x 8 = sum
136 = sum
Now take out the numbers 9, 11, 20, which reduces the sum by 40. There are 5 numbers left and they add up to 136 - 40 = 96.
The new mean is 96 / 5 = 19.2
Answer:
AC ≅ AE
Step-by-step explanation:
According to the SAS Congruence Theorem, for two triangles to be considered equal or congruent, they both must have 2 corresponding sides that are of equal length, and 1 included corresponding angle that is of the same measure in both triangles.
Given that in ∆ABC and ∆ADE, AB ≅ AD, and <BAC ≅ DAE, <em>the additional information we need to prove that ∆ABC ≅ ADE is AC ≅ AE. </em>This will satisfy the SAS Congruence Theorem. As there would be 2 corresponding sides that are congruent, and 1 corresponding angle in both triangles that are congruent to each other.
Let the no. of stars one can expect to see at Bryce Canyon be x.
Given that : No. of stars visible in the night sky = 2000
Also, given that, it is 4/15 of x.
Now, we have

∴ You can expect to see 7,500 stars at Bryce Canyon.