The formula for the area of a trapezoid is:
A= (a+b)/2*h
A=150
h=10
b=14
a=?
So we need to solve for a. Let's plug in the values that we do know...
A= (a+b)/2*h
150=(a+14)/2*10
150=(a/2+14/2)*10
150=(a/2+7)*10
Divide both sides by 10
15=a/2+7
subtract 7 from both sides
8=a/2
multiply both sides by 2
16=a
The other base is 16
Answer:
64y² - 81
Step-by-step explanation:
(8y +9)(8y - 9)
64y² - 72y + 72y - 81
64y² - 81
Answer:
the slope is -1
Step-by-step explanation:
m=y²-y¹/x²-x¹
m=(-3)-6/5-(-4)
m=-9/9
m=-1
The formula for simple interest is <em>I</em> = <em>prt</em>, where <em>I</em> is the amount of interest, <em>p</em> is the principal borrowed, <em>r</em> is the interest rate written as a decimal number, and <em>t</em> is the amount of time in years. First we find the amount of interest. He borrowed $35000 but paid back $46375. That means he paid 46375-35000 = $11375 in interest. We can now substitute our information into our interest formula:
11375=35000(<em>r</em>)(5)
11375=35000(5)(<em>r</em>) ----- remember that multiplication is commutative
11375=175000<em>r</em>
Divide both sides by 175000 to cancel it:
11375/175000 = 175000<em>r</em>/175000
0.065 = <em>r</em>
To convert this to a percentage, we multiply by 100:
0.065(100) = 6.5%
Answer: $ 45,444.44
Step-by-step explanation:
Given: Jill budgets 18% of her yearly salary for clothing.
His total clothing bill for the year is $8,180.
Let x= her yearly salary
Then according to the question , we have
18% of x = 8180
Convert 18% into decimal by dividing it by 100 , we get
0.18 x= 8180
Multiply both sides by 100
⇒ 18x = 818000
Divide both sides by 18 , we get
x= 45444.44
Hence, her yearly salary = $ 45,444.44
