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AlladinOne [14]

3 years ago

6

Angela deposited 2,400 into her bank account each year that she keeps her money in the bank, she will earn 3%. At the end of thr

ee years, how much money will she have earned of interest?

2 answers:

IrinaVladis [17]3 years ago

6 0

The answer is 2622.524

nevsk [136]3 years ago

3 0

The answer is 216 because 2400 x .03 is 72 and then multiply that by 3

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Rectangle A has a length of 2x + 6 and a width of 3x. Rectangle B has a length of x + 2 and an area of 12 square units greater t

Maurinko [17]

So here is how you solve for the answer.
Firstly, you solve for the Area of Rectangle A.
The formula for Area is Length x width.
So A = (2x + 6)(3x) and the result is: 6x^2 + 18x
Now, let y be the width of rectangle B.
<span>(x+2) (y) = 6x^2 + 18x + 12
(x+2) y = 6(x+1)(x+2)
y = 6(x+1)
</span>So the final answer would be width is 6x + 6. The answer is the third option. Hope this answer helps.

7 0

4 years ago

Please help asap!!!!!!!!!!!

mars1129 [50]

X = 59, y = 44

2x + 18 + x - 15 = 180
3x + 3 = 180
3x = 177
x = 59

x - 15 = y
59 - 15 = y
44 = y

6 0

3 years ago

Read 2 more answers

What is the equation of the quadratic graph with a focus of (6, 0) and a directrix of y = −10 ?

Mademuasel [1]

Answer:

$(x-6)^{2}=20(y+5)^{2}$

Step-by-step explanation:

The standard for for the equation of a parabola is $(x-h)^{2}=4p(y-k)$

The focus is given as $(h, k+p)$

The directrix is given by $y=k-p$

Comparing focus given as $(6,0)$ to formula of focus $(h,k+p)$ , we see that $h=6$ and $k+p=0$
Comparing directrix given as $y=-10$ to formula of directrix $y=k-p$ , we can write $k-p=-10$

We can use the two system of equations [ $k+p=0$ and $k-p=-10$ ] to solve for $k$ and $p$ .

<em>Adding the two equations gives us:</em>

$2k=-10\\k=\frac{-10}{2}\\k=-5$

<em>Using this value of $k$ , we can find $p$ by plugging this value in either equation. Let's put it in </em><em>Equation 1</em><em>. We have:</em>

$k-p=-10\\-5-p=-10\\-5+10=p\\p=5$

Now, that we know $h=6$ , $k=-5$ , and $p=5$ , we can plug these values in the standard form equation to figure out the parabola's equation. Doing so and rearranging gives us:

$(x-6)^{2}=4(5)(y-(-5))^{2}\\(x-6)^{2}=20(y+5)^{2}\\$

This is the equation of the parabola with focus $(6,0)$ and directrix $y=-10$

3 0

3 years ago

Read 2 more answers

Which expression is equivalent to (4√5^3)12 ?

katrin [286]

The answer to ur question is A

5 0

3 years ago

A real estate agency says that the mean home sales price in City A is the same as in City B. The mean home sales price for 30 ho

NikAS [45]

Answer:

a) The mean home sales price in City A is the same as in City B

<em>The calculated value t = 2.1731 < 2.3924 at 0.01 level of significance</em>

<em>The null hypothesis is accepted</em>

<u>Step-by-step explanation:</u>

<u>Step(i)</u>:-

Given data The mean home sales price for 30 homes in City A is $127,466

Mean of the first sample(x₁⁻) = $127,466

Standard deviation of the first sample(s₁) = $25,877

The mean of the second sample(x₂⁻) = $112,349

standard deviation of the second sample(s₂) = $27,108

sample size n₁ = n₂ = 30

<u><em>Step(ii)</em></u>:-

<em>Null hypothesis : H₀</em> : The mean home sales price in City A is the same as in City B.

<em>Alternative Hypothesis:H₁</em>: The mean home sales price in City A is the not same as in City B.

The test statistic

$Z = \frac{x^{-} _{1}- x^{-} _{2} }{\sqrt{S^{2} (\frac{1}{n_{1} }+\frac{1}{n_{2} } } }$

where

$S^{2} = \frac{n_{1}S_{1} ^{2} + n_{2} S_{2} ^{2} }{n_{1} +n_{2}-2 }$

$S^{2} = \frac{30 X (25,877)^{2} + 30 X (27,108)^{2} }{30+30-2 }$

On calculation ,we get

$s^{2} = 726,446,272.24$

Test statistic

$t = \frac{127,466 -112,349 }{\sqrt{726,446,272.24 (\frac{1}{30}+\frac{1}{30 } }) }$

t = 2.1731

Degrees of freedom

γ = n₁ +n₂ -2

γ = 30+30-2 =58

$Z_{\frac{\alpha }{2} } = Z_{\frac{0.01}{2} } = Z_{0.005} = 2.3924$

<u><em>Conclusion</em></u><em>:-</em>

<em>The calculated value t = 2.1731 < 2.3924 at 0.01 level of significance</em>

<em>The null hypothesis is accepted</em>

The mean home sales price in City A is the same as in City B.

3 0

3 years ago