Answer:
$7,012.76
Step-by-step explanation:
First, convert R as a percent to r as a decimal
r = R/100
r = 7/100
r = 0.07 rate per year,
Then solve the equation for A
A = P(1 + r/n)nt
A = 5,000.00(1 + 0.07/1)(1)(5)
A = 5,000.00(1 + 0.07)(5)
A = $7,012.76
Summary:
The total amount accrued, principal plus interest, with compound interest on a principal of $5,000.00 at a rate of 7% per year compounded 1 times per year over 5 years is $7,012.76.
The correct answer is the option D, which is: <span>D. 78 cm; 39 cm; 30.3π cm
The explanation is shown above:
1-The formula for calculate the circumference of a circle is:
C=2</span>πr
78π=2πr
2- The radius is:
r=78π/2π
r=39 cm
3- The diameter is:
D=39 cm x 2
D=78 cm
4- The arc length is:
arc length=(140°π/180°)(39 cm)
arc length=30.3π cm
Answer:
5in by 5in by 5in
Step-by-step explanation:
We are not told wat to find but we can as well find the dimension of the prism that will minimize its surface area.
Given
Volume = 125in³
Formula
V = w²h ..... 1
S = 2w²+4wh ..... 2
w is the side length of the square base
h is the height of the prism
125 = w²h
h = 125/w² ..... 3
Substitute eqn 3 into 2 as shown
S = 2w²+4wh
S = 2w²+4w(125/w²)
S = 2w²+500/w
To minimize the surface area, dS/dw = 0
dS/dw =4w-500/w²
0= 4w-500/w²
Multiply through by w²
0 = 4w³-500
-4w³ = -500
w³ = 500/4
w³ =125
w = cuberoot(125)
w = 5in
Get the height
125 =w²h
125 = 25h
h = 125/25
h = 5in
Hence the dimension of the prism is 5in by 5in by 5in
Answer:
Step-by-step explanation:
(12-3)/2 = 9/2
(-5-3)/2= -8/2= -4
(9/2, -4)
Answer:
12
Step-by-step explanation:
12 doesn't fit the data because it is so much farther from the general average of the others.
12 affects the median because with it, the median is 74. but without 12, the median is 76.
12 affects the mean because with it, the mean is 68.36. but without 12, the mean is 72.69.
