Answer:
Step-by-step explanation:
Answer: Amount after 5 years become $5937.60.
Step-by-step explanation:
Since we have given that
Principal amount = $5000
Time period = 5 years
Rate of interest for 3 years = 6%
Rate of interest for 2 years = 8%
so, Amount becomes

Hence, Amount after 5 years become $5937.60.
Her rate of commission being 8% on an amount of $4,500, then her commission in $ will be :
8% x 4500 = 0.08 x 4500 = $360
So her commission = $360
Given:
Alexis has a rectangular backyard that is 50 yards by 55 yards.
She wants to build a fence that stretches diagonally from one corner to the opposite corner.
To find:
The length of the fencing she needs.
Solution:
We have,
Length = 50 yards
Width = 55 yards
We know that, the diagonal of a rectangle is




On further simplification, we get


Therefore, the length of the required fencing is 74.3 yards.
Answer:
4 and 6
Step-by-step explanation:
Let the smaller number be x
The bigger number be y
Eight times the smaller of two numbers plus two times the larger number is 44.
8x+2y=44
Three times the smaller number minus two times the larger number is zero
3x-2y=0
8x+2y=44
3x-2y=0
Using elimination method
Add both sides
8x+3x+2y+(-2y)= 44+0
11x= 44
x=44/11=4
Put x = 4 back in one of the equation
3x-2y=0
3(4)-2y=0
12-2y=0
Add 2y to both sides
12 = 2y
Divide both sides by 2
12/2 =y = 6
The smaller number (x) is 4 and the larger number (y) is 6