An investor invested a total of ​$900 in two mutual funds. One fund earned a 7​% profit while the other earned a 4​% profit. If the​ investor's total profit was ​$51​, how much was invested in each mutual​ fund? The amount invested in the mutual fund that earned 7​% was?

Answer:

P= 300000/60

= 5000watt

single letter means watt

Answer:

height = 5 ft

Step-by-step explanation:

The height will divide the base of the triangle in two parts of 3 ft, making two smaller right triangles.

Then, to find the height, we can use the Pythagoras' theorem in one of these triangles:

6^2 = 3^2 + height^2

36 = 9 - height^2

height^2 = 27

height = 5.19 ft

Rounding to the nearest foot, we have height = 5 ft

Answer: 5

Step-by-step explanation:

The number of the minutes for loading 6 tires to a truck will be 186. If he works for 93 minutes. Then the number of tires can he fit will be 3.

A ratio is a collection of ordered integers a and b represented as a/b, with b never equaling zero. A proportionate expression is one in which two items are equal.

Liam is a tire fitter.

It takes him 124 minutes to fit 4 tires to a truck.

The number of minute for the loading of one tire will be

⇒ 124 / 4

⇒ 31 minutes per tire

a) Then the number of the minutes for loading 6 tires to a truck will be

⇒ 31 × 6

⇒ 186 minutes

b) If he works for 93 minutes. Then the number of tires can he fit will be

⇒ 93 / 31

⇒ 3 tires

The number of the minutes for loading 6 tires to a truck will be 186. If he works for 93 minutes. Then the number of tires can he fit will be 3.

More about the ratio and the proportion link is given below.

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Answer:

3.141592653589793238462643383279502884197169399375105820974944592307816406286

Step-by-step explanation:

Answer:Do you mean find p?  If so then p+10 = 90 - 49, so p = 31°.  Another possibility is in the second quadrant where p + 10 = 180 - 41 so p = 129°  (The 41 comes from the first p+10, i.e. 31+10 = 41),

Check:

Step-by-step explanation:

Answer:

A C E

Step-by-step explanation:

Answer:

The slope is 2.2

Step-by-step explanation:

Since the point goes  through (0,0) the slope is given by

m =y/x

4.4 / 2

2.2

Answer:

Step-by-step explanation:

Surface area = 2×(base’s area) + lateral area

                     = 2×(base’s area) + (Perimeter of the base)×height  

                     = 2×(π×12^2)+((2×π×12)×36)

                     =3 619,11473693544

Answer:a and c

Step-by-step explanation:

Answer:

4/xt 3 sqaured

Step-by-step explanation:

Answer: length*width

Step-by-step explanation:

The base of a cube is a square. As long as you can find the area of a square, you can find the base of a cube. A=Area. A=length*width or A=lw. This works the same for rectangular prisms, but with rectangles AND squares.

Answer:

50%

Step-by-step explanation:

Hope it helps

Answer:

9:4

Step-by-step explanation:

I believe you meant:

   7 1/2 in

 -------------

    3 1/3 in

Rewriting both mixed numbers as improper fractions, we get:

 15

------

   2

==========

    10

  -------

      3

Remember:  to divide by a fraction (such as 10/3 here), invert the divisor fraction and multiply instead:

 15         3      (3)(3)

------- * ------ = --------- = 9/4 or 9:4  (this is a ratio expressed in lowest terms)

   2       10       (2)(2)

Answer:

........,..................y.....bhjkkbub

Answer:

1312 miles

Step-by-step explanation:

To solve this, we simply need to subtract the distance she traveled in her trips to Chicago from the distance she traveled in her trips to Louisville.

She made 4 round trips to​ Chicago, Illinois​. Each of the trips is a distance of 218 miles. This means that the total distance she traveled is:

4 * 218 = 872 miles

She made 6 round trips to​ Louisville, Kentucky​/ Each of the trips is a distance of 364 miles. This means that the total distance she traveled is:

6 * 364 = 2184 miles

Therefore, the difference between the distances she traveled is:

2184 - 872 = 1312 miles

She traveled 1312 miles more in her trips to Louisville than in her trips to Chicago.

Answer:

$3.78

Step-by-step explanation:

find 107%(100%=$54+7%=107%)

54*107/100= $57.78

find the amount of sale tax

57.78-54=$3.78

Answer:

There are exactly 2 π radians in a full circle.

There are approximately 6.28  radians in a full circle.

2π radians is equivalent to  360  degrees.

Answer:

1 4 4

Step-by-step explanation:

Answer: 594 in^3

Step-by-step explanation:

3*11*18=594 in^3

This is the rectangular prism formula.

Answer:

0.1

Step-by-step explanation:

10,000 * (1/100,000) = 0.1

Answer:

35/98

Step-by-step explanation:

Answer:

4.375 miles

Step-by-step explanation:

7/8/12=x/60

12x=60(7/8)

12x=52.5

x=4.375

Answer:

A. 16.2 cm

Step-by-step explanation:

I took the test

The width of ornament is 16.2 cm.

The formula for the volume of a sphere is V = 4/3 πr³.

As, the ornament is in shape of sphere.

Volume of sphere= 4/3 * π * r³

2226.09 = 4/3* 3.14 *  r³

r³= 2226.09  * 3 / 4*3.14

r³= 6,678.27  / 12.56

r³ = 531.7093949044586

r= 8.101

Hence, width = 2* 8.101= 16.2 cm

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Answer:

W(x) = $50 + ($14/hr)x

Step-by-step explanation:

hope this helped

Answer:

2/21

Step-by-step explanation:

2/7 ÷3

sorry if wrong

2/7 * 1/3

2/21

Answer:

2/21 per friend

Step-by-step explanation:

A whole cake is 1 or as a fraction 7/7

5/7 of the cake was eaten

7/7 - 5/7 = 2/7

This was divided by 3 friends

2/7 ÷3

Copy dot flip

2/7 * 1/3

2/21

Answer:

(a) 0.15866

(b) Clustered, with two peaks

(c) Point estimate is 6.3 inches

Margin of error is 0.7 inches

(d) Yes

(e) Stratified sampling method

Step-by-step explanation:

(a) The given information are as follows

Mean diameter of Aspen trees, μ = 8 inches

Standard deviation, σ = 2.5 inches

[tex]z = \frac{x - \mu}{\sigma} = \frac{5.5 - 8 }{2.5} = -1[/tex]

Therefore;

p(x < 5.5) = p(z < -1)

From the z score table, we have p = 0.15866

Therefore, the probability that a randomly selected aspen tree in this park in 1975 would have a diameter less than 5.5 inches = 0.15866

(b) The distribution of the Aspen trees can be described as clustered and having two peaks around 9.25 inches and 5.25 inches

(c) The point estimate is 5.6 + (7.0 - 5.6)/2 = 6.3

The margin of error = (7.0 - 5.6)/2 = 0.7 inches

(d) Yes, because the 8 inches is outside the range

(e) Stratified sampling method

Here, the Aspen trees are separated into the highland and lowland samples such that the measurement required will be representative of both highlands park and lowlands park.

Answer:xxxxxxxxx

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Step-by-step explanation:

Image of spinner is attached.

Answer:

Probability of the compound event is [tex] \frac{1}{9} [/tex]

Step-by-step explanation:

Given that the spinner contains 3 numbers: 1, 2, & 3.

A coin has 2 outcomes, a head & a tail.

Lets take,

P(A) = event of spining an odd number

P(B) = event of flipping heads

P(C) = event of spinning a 3

We now have:

P(A) = [tex] \frac{2}{3} [/tex]

P(B) = [tex] \frac{1}{2} [/tex]

P(C) = [tex] \frac{1}{3} [/tex]

They are all independent events

Probability of the compound event would be derived by multiplying all the events.

P= P(A) * P(B) * P(C)

[tex] = \frac{2}{3} * \frac{1}{2} * \frac{1}{3} = \frac{1}{9} [/tex]

Probability of the compound event is [tex] \frac{1}{9} [/tex]

Answer:

They all end in 0 or 5

Step-by-step explanation:

Answer:

They all end in 0 or 5.

Step-by-step explanation:

15, 20, 25, and 30 all end in either 0 or 5.