Answer:
Below in bold.
Step-by-step explanation:
Nth term an = a1 + d(n - 1) where a1 = term 1 and d = common difference.
Here a1 = 5 and d = 8-5 = 3.
So an = 5 + 3(n - 1)
15th term a15
= 5 + 3(15 - 1)
= 5 + 42
= 47.
The two ways to find the ratio of the length is to turn the inches into feet or the feet into inches
So the answer can be solved like this:
1/36ft to 1/4ft which is 9:1 (blueprint size to actual size)
or
1/3in to 3in which is also 9:1 (blueprint size to actual size)
Answer:
x-intercept = 12, y-intercept = 4
Step-by-step explanation:
To find the x and y intercept, substitute 0 in for both values.
<u>Substitute 0 into x:</u>
2(0) + 6y = 24
6y = 24
<u>Divide each side by 6:</u>
y = 4
<u>Substitute 0 into y:</u>
2x + 6(0) = 24
2x = 24
<u>Divide each side by 2:</u>
x = 12
Yes, because it still have 3 sides.
Answer:
P = $2448.89
P ~= $2,449
He need to deposit $2,449
Step-by-step explanation:
Given:
Interest rate r= 7% = 0.07
Number of years n = 3 years
Future value that should be meet A = $3000
We need to calculate the initial investment (Principal P). Using the compound interest formula:
A = P(1+r)^n
P = A/(1+r)^n
Substituting the values of A, r, n, we have;
P = 3000/(1+0.07)^3
P = $2448.89
P ~= $2,449
