Answer:
The interest rate of Jess's account was 7%
Step-by-step explanation:
A = P * (1 + rt)
A = final amount
P = initial principal balance
r = annual interest rate
t = time (in years)
Replacing with the values we know:
A = P * (1 + rt)
8,150 = 5,000 * (1 + r * 9)
8,150/5,000 = 1 + 9r
1.63 = 1 + 9r
1.63 - 1 = 9r
0.63 = 9r
r = 063/9
r = 0.07 = 7%
The interest rate of Jess's account was 7%
First you need to find how many inches is in 6.2 feet which is 74. Then you need to multiply that by 2.54 to get the amount of centimeters. Which is 182.88. So the answer is 182.88
He equation of a parabola is x = -4(y-1)^2. What is the equation of the directrix?
<span>You may write the equation as </span>
<span>(y-1)^2 = (1) (x+4) </span>
<span>(y-k)^2 = 4p(x-h), where (h,k) is the vertex </span>
<span>4p=1 </span>
<span>p=1/4 </span>
<span>k=1 </span>
<span>h=-4 </span>
<span>The directrix is a vertical line x= h-p </span>
<span>x = -4-1/4 </span>
<span>x=-17/4 </span>
<span>------------------------------- </span>
<span>What is the focal length of the parabola with equation y - 4 = 1/8x^2 </span>
<span>(x-0)^2 = 8(y-4) </span>
<span>The vertex is (0,4) </span>
<span>4p=8 </span>
<span>p=2 (focal length) -- distance between vertex and the focus </span>
<span>------------------------------- </span>
<span>(y-0)^2 = (4/3) (x-7) </span>
<span>vertex = (7,0) </span>
<span>4p=4/3 </span>
<span>p=1/3 </span>
<span>focus : (h+p,k) </span>
<span>(7+1/3, 0)</span>
Answer:
<u>9 feet 2 inches</u>
Step-by-step explanation:
Given :
⇒ Height of SUV = <u>6 feet 4 inches</u>
⇒ Height of box = <u>2 feet 10 inches</u>
<u />
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Solving :
⇒ Total Height = Height of SUV + Height of box
⇒ Total Height = 6 feet 4 inches + 2 feet 10 inches
⇒ Total Height = 8 feet 14 inches
* But, 12 inches = 1 feet *
Hence,
⇒ Total Height = 8 feet + 1 foot + 2 inches
⇒ Total Height = <u>9 feet 2 inches</u>
