Answer:
6
Step-by-step explanation:
We can fill in what we know which is the length and perimeter.
82=2(35)+2(w)
Multiply 35 x 2 = 70
82-70= 12
12/2=6
Let the total amount that Sarah deposited be $x
using the annuity formula:
A=P[((1+r)^n-1)/r]
A=future value
r=rate
n=number of years
from the information given:
A=$500000
r=2.75%
n=65-42=23 years
p=$x
thus plugging our values in the formula we get:
500000=x[((1+0.0275)^(23)-1)/(0.0275)]
500000=31.50x
x=15,872.04883
She deposited 15,873.04883 per year
The monthly deposit will therefore be:
15873.04883/12=$1322.67
Answer:
<h3>x = -3</h3>
Step-by-step explanation:
First let us get the equation of the coordinates
y-y0 = m(x-x0)
Using the coordinates ( - 3, 2 ), ( - 1, 0 )
m = 0-2/-1-(-3)
m = -2/2
m = -1
Substitute m = -1 and (-1, 0) into the formula
y - 0 = -1(x+1)
y = -x-1
f(x) = -x-1
Since f(x) = 2
2 = -x-1
-x = 2+1
-x = 3
x = -3
Hence the value of x is -3
Answer:
Well isn't anyone able to write?
Answer:
16682.7 cm³
Step-by-step explanation:
The total volume is the volume of the cone plus half the volume of a sphere:
V = ⅓ π r² h + ½ (4/3 π r³)
V = ⅓ π r² h + ⅔ π r³
V = ⅓ π r² (h + 2r)
Given that r = 4.15 cm and h = 10.2 cm:
V = ⅓ π (4.15)² (10.2 + 2×4.15)
V ≈ 333.65
The volume needed for 50 cones is therefore:
50V ≈ 16682.7 cm³
