Answer:
None of the above, it should be $4760
Step-by-step explanation:
First, converting R percent to r a decimal
r = R/100 = 12%/100 = 0.12 per year,
then, solving our equation
I = 3500 × 0.12 × 3 = 1260
I = $ 1,260.00
The simple interest accumulated
on a principal of $ 3,500.00
at a rate of 12% per year
for 3 years is $ 1,260.00
Answer:
Option B is correct, i.e. The amount of water originally in Wilson's can was 2.5 gallons.
Step-by-step explanation:
Given is the graph of Amount of water (in gallons) v/s Time (in seconds).
It is a linear graph whose general equation is given as follows:-
y=mx+b.
Where y = Amount of water, x = Time, m = slope, b = y-intercept (when time is zero).
Finding slope of line, m = (2.3 - 2.5)/(1 - 0) = -0.2 gallons per second.
Finding y-intercept of line, b = 2.5 gallons (at t=0).
Hence, option B is correct, i.e. The amount of water originally in Wilson's can was 2.5 gallons.
When a researcher needs to compare means for a variable grouped into two
categories based on some less-than interval variable, a t-test is appropriate.
To add, The analysis of two populations means through the use of
statistical examination is called a t-test. Small sample sizes commonly
use a t-test with two
samples. <span> What statisticians call as test statistics are
identified as t-values. A systematized value that is calculated from sample
data during a hypothesis test is called a test statistic. The procedure that
calculates the test statistic compares your data to what is expected under the </span>null
hypothesis<span>.
You already have an experience with the basic principles behind a t-test if you’ve
tried to communicated with a distracted teenager.</span>
(a) The lateral surface area of the prism is 720 sq units and the total surface area is 752 sq units.
(b) The lateral surface area of the cone is 136π sq units and the total surface area is 200π sq units.
(c) The lateral surface area of the cylinder is 242π sq units and the total surface area is 484π sq units.
<h3>
Lateral surface area of the prism</h3>
L.S.A = Ph
where;
- P is perimeter of the base
- h is height of the prism
h² = 17² - 8²
h² = 225
h = 15
L.S.A = (3 x 16) x 15 = 720 sq units
<h3>Total s
urface area of the prism</h3>
T.S.A = PH + 2B
T.S.A = 720 + 2(16) = 752 sq units
<h3>
Lateral surface area of the cone</h3>
L.S.A = πrt
where;
- t is the slant height = 17
r² = 17² - 15²
r² = 64
r = 8
L.S.A = π(8)(17) = 136π sq units
<h3>
Total surface area of the cone</h3>
T.S.A = πrt + πr²
T.S.A = 136π sq units + π(8)²
T.S.A = 200π sq units
<h3>
Lateral surface area of the cylinder</h3>
L.S.A = 2πrh
where;
- r is the radius of the cylinder = 11
- h is height of the cylinder = 11
L.S.A = 2π(11 x 11) = 242π sq units
<h3>Total
surface area of the cylinder</h3>
T.S.A = 2πrh + 2πr² = 2πr(r + h)
T.S.A = 2π(11)(11 + 11)
T.S.A = 484π sq units.
Thus, the lateral surface area of the prism is 720 sq units and the total surface area is 752 sq units.
- the lateral surface area of the cone is 136π sq units and the total surface area is 200π sq units.
- the lateral surface area of the cylinder is 242π sq units and the total surface area is 484π sq units.
Learn more about surface area here: brainly.com/question/76387
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