you invested money in two funds. last year, the first fund paid a dividend of 9% and the second a dividend of 3%, and you receive a total of $921. This year, the first fund paid a 10% dividend and the second only 1%, and you received a total of $846. How much money did you invest in each fund?​

Answer: $4.40

Step-by-step explanation:

10 times 0.44 equals 4.40

Answer:

Step-by-step explanation:

c 10 times 0.44= 4.40

Answer:

The confidence limits for the proportion that plan to vote for the Democratic incumbent are 0.725 and 0.775.

Step-by-step explanation:

In a sample with a number n of people surveyed with a probability of a success of [tex]\pi[/tex], and a confidence level of [tex]1-\alpha[/tex], we have the following confidence interval of proportions.

[tex]\pi \pm z\sqrt{\frac{\pi(1-\pi)}{n}}[/tex]

In which

z is the zscore that has a pvalue of [tex]1 - \frac{\alpha}{2}[/tex].

Of the 500 surveyed, 350 said they were going to vote for the Democratic incumbent.

This means that [tex]n = 500, \pi = \frac{350}{500} = 0.75[/tex]

80% confidence level

So [tex]\alpha = 0.2[/tex], z is the value of Z that has a pvalue of [tex]1 - \frac{0.2}{2} = 0.9[/tex], so [tex]Z = 1.28[/tex].

The lower limit of this interval is:

[tex]\pi - z\sqrt{\frac{\pi(1-\pi)}{n}} = 0.75 - 1.28\sqrt{\frac{0.75*0.25}{500}} = 0.725[/tex]

The upper limit of this interval is:

[tex]\pi + z\sqrt{\frac{\pi(1-\pi)}{n}} = 0.75 + 1.28\sqrt{\frac{0.75*0.25}{500}} = 0.775[/tex]

The confidence limits for the proportion that plan to vote for the Democratic incumbent are 0.725 and 0.775.

Answer:

2) 523.3 in²

Steps:

the given polygon is a heptagon

a regular heptagon's area = 7/4 × s² × cot(180°/7)

for the given heptagon

A = 7/4 × 12² × cot(180/7) ≈ 523.28 in² = 523.3 in² (rounded)

If you drove at 80mph it would take you approximately 3 hours

This is because 60 is 75% of 80 and 3 hours is 75% of 4 hours.

25% of 4 hours is 1 hour

4 hours - 1 hour = 3 hours

Answer:

Hey mate......

Step-by-step explanation:

This is ur answer......

Hope it helps!

mark me brainliest pls.....

Follow me! :)

Answer:

Just explain why you chose mia..

Step-by-step explanation: Why do you think mias right?

Answer:

Mia is right

Step-by-step explanation:

But the reason is because y=4+6x mark is going over the line and he needs to make sure its accross.

Answer:

Yes, because it crosses through (-2) at a rate of 1/3

Answer:

A

Step-by-step explanation:

The volume (V) of water in the tank is calculated as

V = lbh (l is length, b is breadth and h is height )

Here l = 80, b = 40 and h = 50 , then

V = 80 × 40 × 50 = 160000 cm³

V ( in litres) = 160000 ÷ 1000 = 160 litres , then

number of times = 160 ÷ 10 = 16

Answer:

y = 8x

Step-by-step explanation:

Slope intercept form is y = mx + b

y = y coordinate

m = slope, rise over run

x = x coordinate

b = y-intercept, where the line crosses the y-axis.

y = mx + b

y = 80/10x + 0

y = 8x + 0

y = 8x

Answer:

y=-8x

Step-by-step explanation:

Answer:

168ft^2

Step-by-step explanation:

150 · 0.12 = 18.

150 + 18= 168

Answer:

Step-by-step explanation:

Volume of water is the difference of volume of vase at 12 in height and the total volume of marbles.

Volume of cylinder up to water level:

Volume of marbles:

Volume of water:

Correct choice is C

Answer:

C. π(3in)2(12in) − 9(four over threeπ(1.5in)3)

Step-by-step explanation:

Vs = πr²h = π(6/2)²(12) = π×(3 in)²×(12 in)

Vm = 9(4/3πr³) = 9×(4/3×π(3/2)³) = 9×(4/3×π×(1.5 in)³)

Vw = Vs - Vm = π×(3 in)²×(12 in) - 9×(4/3×π×(1.5 in)³)

Correct choice is C

Answer:

90

Step-by-step explanation:

3pq

3×6×5=90

mark as brainliest please

Hi there! :)

[tex]\large\boxed{A = 12.5 \text{ units}^{2}}[/tex]

Find the area of the shape using the formula for the area of a trapezoid:

A = 1/2(b1 + b2) · h

Where:

b1 = base 1

b2 = base 2

h = height

A = area

Plug in the given bases and height:

A = 1/2(7.5 + 2.5) · 2.5

Simplify:

A = 1/2(10) · 2.5

A = 5 · 2.5

A = 12.5 units²

Answer:

0.15 = 15% probability that a randomly selected passenger has a waiting time greater than 4.25 minutes.

Step-by-step explanation:

A distribution is called uniform if each outcome has the same probability of happening.

The uniform distributon has two bounds, a and b, and the probability of finding a value higher than x is given by:

[tex]P(X > x) = \frac{b - x}{b - a}[/tex]

Uniformly distributed between 0 and 5 minutes.

This means that [tex]a = 0, b = 5[/tex]

Find the probability that a randomly selected passenger has a waiting time greater than 4.25 minutes.

[tex]P(X > 4.25) = \frac{5 - 4.25}{5 - 0} = 0.15[/tex]

0.15 = 15% probability that a randomly selected passenger has a waiting time greater than 4.25 minutes.

Step-by-step explanation:

i d like to help but i fon knoeww

Answer:

A

Step-by-step explanation:

To check for similarity, check for the scale factor. We can see angle X and angle U are both 32°. If the triangles were similar side RS to side UV and side RT to side UW should give the same scale factor. 10:12 = 5:6 and 15:18 = 5:6. Therefore the two triangles are similar. When naming similar triangles make sure you start from the same point, so triangle RST is similar to triangle UVW.

Answer:

7

Step-by-step explanation:

Factors for 28: 1, 2, 4, 7, 14, and 28

Factors for 35: 1, 5, 7, and 35

I hope this helps

Answer:

2/25 of a yard

Answer:180(D)

Step-by-step explanation: First, do 72/x=40/100. Then, cross muliply which is 7200 and 40*x. do 7200/40. The answer should be 180.

Answer:

The answer is C(180) on edg 2021

Answer:

x = 12, y = 42

Step-by-step explanation:

6 is multiplied by 6 to get 36 (lot of sixes lol)

So multiply everything else by 6

2 x 6 = 12

7 x 6 = 42

Answer:

d y/d x = y/x

Step-by-step explanation:

c.StartFraction 5 over 9 EndFraction

D. is not the answer  and four-fifths i think the best answer

Answer:

x=6

Step-by-step explanation:

x-7=-1 add -1 to other side of the equation

x-6=0 add six to the zero

x=6

Answer:

21.45 ft (nearest hundredth)

Step-by-step explanation:

Let P be the spot where the basketball player is standing, B be the base of the hoop and H be the top of the high hoop.

Please see the attached picture for the full solution.

Answer:

The spinner will land 1 three times out of every Eight

Step-by-step explanation:

Answer:

62 times

Step-by-step explanation:

if the probability is 62/100 then u get an odd num 62 times out of every 100