Mr. Wilson invested money in two accounts his total investment was $8000. If one account pays 6% and interest and the other pays 12% interest how much did he invest in each account if he earned a total of $600 in an interest in one year

Answer:

f = 27

Step-by-step explanation:

11 = f - 16

Add 16 to both sides.

11 + 16 = f - 16 + 16

27 = f

Answer:

A. 6 √2

Step-by-step explanation:

If a triangle is a 45-45-90 triangle then,

Theorem 5-13: If each acute angle of a right triangle has a measure of

45 degrees, then the measure of the hypotenuse is the square root of two times as long as a  leg (45, 45, 90 Theorem).

so the hypotenuse is x√2, and x = 6 (side length)

Answer:

This is not an exponential function because the variable is in the exponent position.

Answer:

The correct answer is all real numbers x, except x=o.

Step-by-step explanation:

To calculate the domain, we will "remove" from the equation those values that make it impossible to perform any mathematical operation.

In a rational function the denominator must be different from zero, since we need a set of values that do not cancel the denominator.

That is why the domain can include any real number, except 0. Remember that real numbers are any number that corresponds to a point on the real line and can be classified into natural, integers, rational and irrational numbers. In other words, any real number is between minus infinity and infinity and we can represent it on the real line.

Answer:

D. all real numbers x, except x=0

Step-by-step explanation:

edge 2020

Answer:

16.66 years

Step-by-step explanation:

100(the percentage that it needs to increase) divided by 6 (the percentage of intrest) You could do 1.0/0.06 but i find it eaiser to do it this way

It will take 33.33 years to double his money.

We have roger who inherited $5000 from his father who invested the money in an account bearing 6% annual interest.

We have to find out how long it would take for this inheritance to double in value.

The formula to calculate the Simple Interest on a given amount of principal money (x) at the rate of (r%) for a given amount of time (t) is -

[tex]SI =\frac{x \times r \times t}{100}[/tex]

In the question given : Simple Interest = 2 x Principal = 2[tex]x[/tex]

Hence, the equation becomes -

[tex]2x =\frac{x\times r\times t}{100} \\\\t = \frac{200}{r} \\\\t = \frac{200}{6} \\[/tex]

t = 33.33 years

Hence, it will take 33.33 years to double his money.

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Answer:

.84

Step-by-step explanation:

━━━━━━━☆☆━━━━━━━

▹ Answer

.84

▹ Step-by-Step Explanation

The hundreths place is 2 decimal places so..

.84

Hope this helps!

CloutAnswers ❁

Brainliest is greatly appreciated!

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Answer:

-11/45

Step-by-step explanation:

5/9 + (-4/5) =

= 5/9 * 5/5 - 4/5 * 9/9

= 25/45 - 36/45

= -11/45

Answer:

-7j-k-1

Step-by-step explanation:

10k + 17 - 7j -18 -11k

10k-11k

-1k

17-18

-1

-7j-k-1

Answer:

Below

Step-by-step explanation:

B varies directly with the cube of t so:

● B = t^3

B varies inversly as u

● B = 1/u

Let's solve the equation for u:

B= 1/u = t^3

● B= 1/u

Switch u and B

● u = 1/B = 1/t^3

If u is 1 then b and t are also 1.

Answer: C. 35 square centimeters

Think of cutting a cube along the opposite diagonals (the diagonals on the opposite faces). The resulting area that is inside is the cross sectional area. It is a rectangle with sides of 5 and 7. The 7 is approximate as it is the length of the diagonal. So we have 5*7 = 35 as the approximate cross sectional area.

Answer:

correct answer is 49

Step-by-step explanation:

i used the formula for surface area

SA=2B+LA(surface area=2*the base+ lateral area)

Answer:

Hey there!

2/3% is basically 2/3's of 1 percent.

Thus, as a fraction we get 2/300.

Hope this helps :)

Answer:

1/150

Step-by-step explanation:

2/3%

We know that 1% = 1/100

2/3% = (2/3)/100

2/3% = 2/(3 × 100)

2/3% = 2/300

2/3% = 1/150

Answer:

6

Step-by-step explanation:

I took the test and got 100%

I hope i helped and that i get brainliest :P

Answer:

Step-by-step explanation:

1)To find the mean absolute deviation of the data, start by finding the mean of the data set.

2)Find the sum of the data values, and divide the sum by the number of data values.

3)Find the absolute value of the difference between each data value and the mean: |data value – mean|.

4)Find the sum of the absolute values of the differences.

5)Divide the sum of the absolute values of the differences by the number of data values.

Answer:

D. 2/3π inch

Step-by-step explanation:

360°/12=30° each slice of pizza is 30°.since they are all congruent:

c= 2πr*30°/360°

c=2(4)π* 1/12

c=8π/12

c=2/3π inch

The length of the outer edge of any one slice of the pizza is 2.09 inches

A circle is a shape consisting of all points in a plane that are at a given distance from a given point, the center.

A diameter of a circle is any straight line segment that passes through the center of the circle and whose endpoints lie on the circle.

A circular sector, also known as circle sector or disk sector, is the portion of a disk enclosed by two radii and an arc, where the smaller area is known as the minor sector and the larger being the major sector.

Given,

Diameter of the pizza = 8 inches

Number of slices =12

We know that,

A circle has a total of 360 degrees all the way around the center

Then angle of each size of pizza = [tex]\frac{360}{12}=30[/tex] degrees

Length of the outer edge of any one slice of pizza = Length of the arc of the sector

Arc length = [tex]2\pi r(\frac{angle}{360})[/tex]=[tex]2\pi (4)(\frac{30}{360})[/tex]

Arc length = 2.09 inches

Hence, the length of the outer edge of any one slice of the pizza is 2.09 inches

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Answer:

450m squared

Step-by-step explanation:

bc my last answer was wrong (:

Answer:

450 m²

Step-by-step explanation:

The formula for area of a rectangle is A = lw.  You are given the length (30 m) and the width (15 m).  Plug in the numbers and solve for A.

A = lw

A = (30 m)(15 m)

A = 450 m²

The area of the rectangle is 450 m².

Answer:

d

Step-by-step explanation:

Answer:

Step-by-step explanation:

Distance traveled by Mike in 12 hours = 4 * 12 = 48 km

This will become the radius of the circle

r = 48 km

Area of the circle to be searched = πr²

                                                       = 3.14 * 48 * 48

                                                       = 7234.56 square km

Answer:

x= 20

Step-by-step explanation:

The three angles add to 90 degrees

x+2x+x+10 = 90

Combine like terms

4x+10 = 90

Subtract 10 from each side

4x +10-10 = 90-10

4x = 80

Divide by 4

4x/4 = 80/4

x = 20

Answer:

x = 20

Step-by-step explanation:

The three angles are complementary to each other.

That means they add up to 90 degrees.

x + 2x + (x + 10) = 90

Combine like terms.

4x + 10 = 90

Subtract 10 on both sides.

4x = 80

Divide both sides by 4.

x = 20

Answer:

radius is 12, diameter is 24

Step-by-step explanation:

it is a 15-12-9 triangle

Answer:

Step-by-step explanation:

Garden roller is in the shape of cylinder.

So, one revolution =  Curved surface area of the cylinder

diameter  = 70 cm

radius = 70/2 = 35 cm

h = 100 cm

Curved surface area of the cylinder = 2πrh

                                                           = [tex]2*\frac{22}{7}*35*100[/tex]

                                                           = 22000 square cm

Area covered in 15 revolutions = 15 * 22000

                                                    = 330000 square cm

2) Coin

diameter = 22 mm

r = 22/2 = 11 mm

Volume of coin = 66 mm

πr²h = 66

[tex]\frac{22}{7}*11*11*h=66\\\\\\h=\frac{66*7}{11*11*22}\\h=0.17 mm[/tex]

Answer:

D

Step-by-step explanation:

According to the SAS theorem, if the 2 sides of the 2 triangles are multiples of each other by the same scale factor, with the angle in between them being the same for each triangle. The triangles are similar.

The SSS theorem is not appropriate here because we do not know the side lengths of AB or DE in the diagram. For SSS theorem we need to know all of the side lengths.

A is incorrect because the similarity can be determined.

Answer:

132 cm^2

Step-by-step explanation:

Area of the two triangles + Area of the three triangles

2x1/2x3x4 + 5x10 + 4x10 +3x10 = 132 cm^2

The rules used in my answer are:

Answer:

420

Step-by-step explanation:

First, you multiply the base by the slant height for the area of one triangle (160). Then multiply that by 1/2 to complete the area equation. 80*4 (four triangles equals 320. Then you multiply to find the base area 10*10= 100. Add those numbers together to get 420.

The surface area of the pyramid is 178.9 square centimeter.

We have a pyramid with the base edges (L) = 10 cm and slant height (S) = 16 cm .

We have to find the Surface area of the pyramid.

The formula is -

[tex]S.A. = L^{2} + L\sqrt{L^{2} + 4h^{2} }[/tex]

Now, firstly find the height of the pyramid - using the Pythagoras theorem-

[tex](S)^{2} =(\frac{L}{2} )^{2} +h^{2} \\h^{2} = (S)^{2} - (\frac{L}{2} )^{2}\\h = \sqrt{(S)^{2} - (\frac{L}{2} )^{2}} \\[/tex]

h =  15.19 cm

Substituting the value of height in the formula of surface area -

S.A. = [tex](5)^{2} +5\sqrt{(5)^{2}+4(15.19)^{2} } \\[/tex] = 25 + 5 x 30.78 = 178.9 square centimeter.

Hence, the surface area of the pyramid is 178.9 square centimeter.

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Answer:

Step-by-step explanation:

x2+12w

Answer:

rational

Step-by-step explanation:

The improper fraction 12/4 is a rational number. It is equivalent to the whole number 3, which is an integer.

Answer:

I think it's A

Answer:

[tex]5 \frac{1}{3}[/tex] degrees per hour.

Step-by-step explanation:

If we know that the temperature fell 4 degrees in [tex]\frac{3}{4}[/tex] of an hour, we can set up a proportion to see how much fell in an hour.

[tex]\frac{4}{0.75} = \frac{x}{1}[/tex]

[tex]4 \cdot 1 = 4\\4 \div 0.75 = 5.\overline{33}[/tex]

[tex]5.\overline{33}[/tex] as a fraction is [tex]5 \frac{1}{3}[/tex].

So, the temperature fell at a rate of [tex]5 \frac{1}{3}[/tex]  degrees per hour.

Hope this helped!

Answer:

5 1/3

Step-by-step explanation:

Answer:

1. 3 + 4x

2. 8/ x-y

3. X/2y

4. Four times a number m

5 let m represent months

30 + 12m

Answer:

D. 35

Step-by-step explanation:

20-5>25 = 20>25 incorrect

30-5>25 = 25>25 incorrect

35-5>25 = 20>25 correct

Answer:

1/25

Step-by-step explanation:

[tex]\frac{5^{4} }{5^{6} } =\frac{1}{5^{2} } =\frac{1}{25}[/tex]

Answer:

-3.2 is the opposite of 3.2

2.3 is the opposite of -2.3

1.5 is the opposite of -1.5

-5.1 is the opposite of 5.1

Step-by-step explanation:

If your value is a positive, make it a negative

Ex. 3-->-3

If your answer is a negative, make it a positive

Ex. -3-->3

Answer:

-3.2 is the opposite of 3.2

2.3 is the opposite of -2.3

1.5 is the opposite of -1.5

-5.1 is the opposite of 5.1