Answer:
7(9 + 14)
Step-by-step explanation:
The Greatest Common Factor of 35 and 63 is 7; both 35 and 63 are evenly divided by 7. Thus, 35 + 63 can be rewritten as 7(5) + 7(9), or 7(14)
So 35 + 63 = 7(9 + 14)
Given:
In ΔJKL, m∠L=90°, JL = 80, KJ = 89, and LK = 39.
To find:
The value of sine of ∠J.
Solution:
In a right angle triangle,

In triangle JKL,




Therefore, the value of sine of ∠J is about 0.44.
Answer:
7x+5y
Step-by-step explanation:
Combine like terms:
5x+2x+(-y)+6y
7x+(6y-y)
7x+5y
Hope this helped!
The correct answer is shown in attached figure
To find the correct graph, we should study the continuity of the function
Check the continuity at x = -2
from the left ⇒⇒ f(-2) = 1/2 * -2 + 3 = 2
from the right ⇒⇒ f(-2) = 2
∴ The function is continuous at x = -2
Check the continuity at x = 3
from the left ⇒⇒ f(3) = 2
from the right ⇒⇒ f(3) = 2*3 - 3 = 3
∴ The function is jump discontinuous at x = 3
From the previous results the correct graph is the last as shown in attached graph.
Investing $1000, compounding the interest once in a year will yield a final Amount of $1,935.28.
Given data
Principal = $1000
Rate = 4.5%
Time = 15 years
Calculation Steps:
First, convert R as a percent to r as a decimal
r = R/100
r = 4.5/100
r = 0.045 rate per year,
Then solve the equation for A
A = P(1 + r/n)^nt
A = 1,000.00(1 + 0.045/1)^(1)(15)
A = 1,000.00(1 + 0.045)^(15)
A = $1,935.28
Summary:
The total amount accrued, principal plus interest, with compound interest on a principal of $1,000.00 at a rate of 4.5% per year compounded 1 times per year over 15 years is $1,935.28.
Learn more about compound interest here:
brainly.com/question/24924853