Answer:
you would have $2.98 left
Step-by-step explanation:
$4.59 x 2=9.18
3.00 x 3=9.00
$1.99 x 2=3.98
$9.18+$9.00+$3.98=22.16
$25.00-$22.16 = $2.89
$5000 is the correct answer.
The formula for simple interest is I=prt. Anson gets 10% interest; 10% = 10/100 = 0.1. This gives us
I=p(0.1)(1) = 0.1p.
Jenny borrows 1000 more than Anson, so her principal is p+1000. Her rate is 8%; 8%=8/100 = 0.08. She invests it for half of a year, or 0.5. Together this gives us:
I=(p+1000)(0.08)(0.5)
= (p+1000)(0.04)
= p*0.04 + 1000*0.04
= 0.04p + 40
Together they earned 740:
0.1p+0.04p+40 = 740
Combine like terms:
0.14p+40 = 740
Subtract 40 from both sides:
0.14p+40-40 = 740-40
0.14p = 700
Divide both sides by 0.14:
0.14p/0.14 = 700/0.14
p = 5000
Answer:
8.4 square units
Step-by-step explanation:
See attachment for the figure.
Trigonometric area formula is Area =
Where a and b are two sides of the triangle and C is the angle between these two sides.
Given:
side a = 6 units, c = 2√2 units and ∠B = 80°
Then area of the triangle :
Area = 
=
= 
= 6√2×sin80°
= 6×(1.414)×0.9848
= 8.36 square units
≈ 8.4 square units
At 0.01 significance level the hypothesis is rejected.
Null Hypothesis (H₀): The sample data occurs purely from chance.
Alternative Hypothesis (H₁): The sample data is influenced by some non-random cause.
If the p-value of the hypothesis test is less than some significance level (e.g. α = .01), then we can reject the null hypothesis and conclude that we have sufficient evidence to say that the alternative hypothesis is true.
Given that,
x = 28
s = 2.9
μ = 31
n = 8
α = 0.01
Then, the Null Hypothesis : H₀ = 31
The Alternate Hypothesis : H₁ < 31
The average number of cigeratte smoker per day is less than 31.
Test Statistics:
t = x -μ / s√n
= 28 - 31/ 2.9√8
= -3/ 8.41
= -0.356
Since the p-value of 0.0046 is less than the significance level of 0.01, the auditor rejects the null hypothesis.
Learn more about Null hypothesis:
brainly.com/question/28920252
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The center-radius form of the circle equationis in the format (x – h)2<span> + (y – k)</span>2<span> = r</span>2<span>, with the center being at the point (h, k) and the radius being "r". Therefore the radius of the circle with the given equation would be </span>√9 or 3, first option. Hope this answers the question.
