Answer:
x=4
Step-by-step explanation:
y – (–19) = 25
a. –44
b. –6
c. 6
d. 44
Answer:
The length of the ladder = 6.5077 ft
Step-by-step explanation:
Given A ladder leans against the side of a house
Given the angle of elevation of the ladder is 66° when the bottom of the ladder is 16 ft from the side of the house
Let 'C' be the point of observation.
Given CA= 16 ft
From right angle triangle
x = 16 × cos 66°
x = 16 × 0.4067
x = 6.5077
x = 6.5 ft
The length of the ladder = 6.5 ft
Henry deposits $25,000 into a Big City Bank savings account. The bank charges a simple interest rate of 2.25%. After 5 years, Henry will have $27812.5 in his account.
Given,
P = 25000 r = 2.25%
t = 5
Replace the formula,
F = 25000 + 25000 × ( 2 .25/100) × 5
Calculate the quotient or product:
25000 × (1 + 0.1125)
Simplifying,
25000 × 1.1125
Calculate the quotient or product:
27812.5
Hence, After 5 years, Henry will have $27812.5 in his account.
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Answer:
$27812.5
Step-by-step explanation:
2.25% = $562.5 each year
Answer:
4 miles
Step-by-step explanation:
4.75 - 1.75 = 3.00/.75=4
Answer:
It has a single solution x=-3 y=26
Step-by-step explanation:
The ratios of coefficients of x and y are different, so the pair of equations has one solution. It is easy to tell the first offered solution (15, 17) does not satisfy the first equation, so that choice is eliminated.
Fortunately, the second offered solution, (x, y) = (-3, 26), satisfies both equations.
The equations have a single solution: (x, y) = (-3, 26).
Answer: The equation has a single solution x = -3 , y = 26.
( -3, 26 )
Step-by-step explanation:
3x + y =17 ---------------------(1)
x + 2y = 49 -------------------(2)
Using substitution approach
From (2)
x = 49 - 2y --------------------(3)
Now put (3) in equation (1) and solve.
3(49 - 2y) + y = 17
Open the bracket and solve
3 x 48 - 3 x 2y + y = 17
147 - 6y + y = 17
Gather like terms
-5y = 17 - 147
-5y = -130
Multiple through by (-1)
5y = 130
Divide by 5
y = 130/5
y = 26.
Substitute for y now in equation (3) to get the value of x
3x + y = 17
3x + 26 = 17
3x = 17 - 26
3x = -9
Now , divide by 3
x = -3
The equation had a single solution of x = -3 , y = 26
Chech.
3 x -3 + 26
-9 + 26
= 17