Answer:
(c)=81°, a=9.1, b=12.
Step-by-step explanation:
m<A=40°, m<B=59
m<C=180-(40+59)=81
c=14
Answer:
Almond , raisins:
(1, 15)
(3, 7.5)
(5, 0)
Step-by-step explanation:
x: almond
y: raisin
30x + 8y = 150
x = 1, y = 15
x = 3 y = 7.5
x = 5, y = 0
Answer:
x=2; y=1
Step-by-step explanation:
Since the triangle is equilateral, which means three sides have the same length.
So we have：4x-y=2x+3y=7
Since 2x+3y=7 and plug in x=2y
we have
and since y=1
x=2
First, write the equation:
3(a+1.5) = -1.5
Next, you can distribute 3 into the parentheses by multiplying 3 by a and 1.5. It should look like this:
3a + 4.5 = -1.5
When trying to find the value of a variable, you want to get the variable to one side of the equation by itself. Subtract 4.5 from both sides of the equation to get:
3a = -6
Now, divide both sides by 3 to get your final answer:
a= -2
The value that makes the equation true is -2
Hope this helped!
Answer: the total amount after 6 years is 4690
Step-by-step explanation:
We would apply the formula for determining compound interest which is expressed as
A = P(1 + r/n)^nt
Where
A = total amount of the loan at the end of t years
r represents the interest rate.
n represents the periodic interval at which it was compounded.
P represents the principal or initial amount loaned.
From the information given,
P = 2900
r = 8% = 8/100 = 0.08
n = 12 because it was compounded 12 times in a year.
t = 6 years
Therefore,
A = 2900(1 + 0.08/12)^12 × 6
A = 2900(1 + 0.0067)^72
A = 2900(1.0067)^72
A = 4690
