Your dad invested $30 for you in 1946 in a fund and you have not withdrawn any money since. If the fund has averaged a return of 7% over the last 70 years, what is the current value of that investment?

Answer:

28.8 yd^2

Step-by-step explanation:

The area of a triangle is calculated using the following formula:

1/2*b*h (b: base, h: height)

The height in this triangle is 6.4 yd and the base is 9 yd

1/2*9*(6.4) = 28.8

Answer:

y=116⋅x2−1

Step-by-step explanation:

[tex] - 7 \div \frac{ - 4}{5} [/tex]

[tex] \frac{ - 7}{1} \div \frac{ - 4}{5} [/tex]

[tex] =8.75[/tex]

( just keep the first fraction as it is, change the divide sign to a multiply and flip the second fraction upside down. )

Answer:

35/4 or 8 3/4.

Step-by-step explanation:

-7 / -4/5

Invert the second fraction and multiply:

= -7 * -5/4

=  35/4

= 8 3/4.

Answer:

The slope of the line would be -3/2.

Step-by-step explanation:

Let's get this equation into the proper slope form:

2x - 3y - 5 = 0

2x - 3y + 3y - 5 = 0 + 3y

2x - 5 = 3y

(1/3)(2x - 5) = 3y * 1/3

2/3x - 5/3 = y

Since the slope is 2/3, we need to find the negative reciprocal of that number, which is -3/2.

First of all, we need to add 5 on both sides :

2x-3y=5

Now, subtract 2x on both sides ↓

-3y=5-2x

Or

-3y=-2x+5

Now we need to divide by -3 on both sides to get y all by itself ↓

y=-2/-3+5/-3

[tex]\boxed{\\\begin{minipage}{2cm}y=$\displaystyle\frac{2}{3} x-\frac{5}{3}$ \\ \end{minipage}}[/tex]

Now determining the slope is facile.

If lines are perpendicular to each other, they

In order to find the opposite reciprocal of a fraction, we need to switch the numerator & the denominator places and then change the fraction's sign as follows ↓

(slope = 2/3)

Switch the numerator and denominator places ↓

3/2

Change the fraction's sign ↓

-3/2

hope helpful ~

Answer:

$13.14

Step-by-step explanation:

4x - 2y = 12

x + 2y = 8

(to cancel 2y, solve by adding)

4x - 2y = 12

+

x + 2y = 8

4x + x = 5x

-2y + 2y = 0

12 + 8 = 20

5x = 20

÷5

x = 4

Substitute x=4 to one of the equation:

x + 2y = 8

4 + 2y =8

-4

2y. = 4

÷2

y. = 2

Check:

4 + (2x2) does give you 8

Hope this helps!

Answer:

The answer is 47°

Step-by-step explanation:

Total angles in a triangle is 180°

so 31+x+102 = 180

x= 180-133

x=47°

Answer:

78%

Step-by-step explanation:

First of all, the point estimate is a value located in between the upper confidence limit and the lower confidence limit, it identifies a point in some parameter space.

This question provides us with an interval estimate which is a range of values used to estimate a population parameter.

Interval Estimate = 74% to 82%

74% = Lower confidence limit

82% = Upper confidence limit

Point estimate = middle value

= [tex]\frac{74+82}{2}=\frac{156}{2}[/tex]

= 78%

Answer:

see below  ( I do not think 449.57 m^2 is correct for surface area)

    Surface area = 374.65 m^2     Volume = 448.83 = ~~ 449 m^3  

Step-by-step explanation:

Find the SURFACE AREA    (NOT the volume)

Height of cone =  sqrt ( 13^2 - 4.5^2) = 12.1963 m

  surface area equation for cone = pi * r  * (r+ sqrt (h^2+r^2) ) = 247.4 m^2

Sphere surface area =  4 pi r^2   =  254.5 m^2

   HEMIsphere is 1/2 of this = 127.235 m^2

Add the two surface areas = 374.65  m^2

For VOLUME:    cone   1/3 pi r^2 h = 257.979 m^3

                         HEMIsphere = 1/2  4/3 pi r^3  = 190.851 m^3

                Total VOLUME is then 448.83 m^3

Answer:

Number line 3 also known as [C]

Step-by-step explanation:

Given that:

c ≤ -1

Knowing that:

≤  = Less than or equal to

Now substitute into the equation:

C less than or equal to -1

Thus, it going left on a number line.

The only number line with left is [A] and [C]

Since ≤  = Less than or equal to -1

then, it including -1

also known as a closed circle means the number is included and an open circle means it is not.

Hence, it closed circle.

Thus, the answer is [C]

Kavinsky

Answer:

I think I would be 16 cause if 8 double it is 16

Answer:

-3 degrees

Step-by-step explanation:

13x + 78= 39 degree

-78 -78

(divide both sides by 13)

Answer:

  125.25 ft

Step-by-step explanation:

The geometry of the problem can be modeled by a right trianlge in which the side adjacent to the angle is 310 ft, and the side opposite the angle is the one we want to find. The relevant trig relation is ...

  Tan = Opposite/Adjacent

__

Solving for the Opposite side (the height of the balloon), we find ...

  Opposite = Adjacent · Tan

  height = (310 ft)·tan(22°) ≈ 125.25 ft

Enola's balloon is about 125.25 ft above the ground.

_____

Additional comment

If we assume Enola's angle measurement can have a possible error of ±0.5°, then the corresponding error in the balloon height is more than ±3 ft. It is a bit of nonsense to report the height to the nearest 0.12 inches, (0.01 ft).

Answer:

7033 / 10 000

Step-by-step explanation:

x = .70330

10 000 x = 7033.0   divide both sides by 10 000

x = 7033 / 10 000

Answer:

[tex]\frac{2}{5}[/tex]

Step-by-step explanation:

1) Add all the values.

= 10 + 35 + 30

= 75

2) 75 will be the denominator and the one required will be the numerator.

Since there are 30 peanut butter cookies, the probability is [tex]\frac{30}{75}[/tex].
3) Simplify the fraction if necessary.

Divide both sides by 15.

= [tex]\frac{2}{5}[/tex]

Answer:

Triangles A and B

Step-by-step explanation:

Similar triangles have congruent corresponding angles. Triangles a and b both have angle measures of 90°, 23° and 67°. Triangle C has different angle measures therefore it cannot be similar to either triangle A and B.

Similar triangles also have similar side length ratios via corrsesponding sides. This is true for triangles A and B eg. have corresponding side length ratios of 24/12 , 26/13 and 10/5 which all equal 2

So we can conclude triangles A and B are similar

Answer:

I think its B (x-5=13)

Step-by-step explanation:

if its x-5=13

Pedro bought 13 and 5

so 13+5 = 18 (x)

so rearrange the equation to be x-5=13

so imagine x=18 and it would work:

18-5=13

Answer: B. x - 5 = 13

Step-by-step explanation:

     Since Pedro bought the picture frames for his mother, we will see what she does with them. 5 go to her sister and 13 are kept for herself. Let x be the number of picture frames Pedro buys.

        5 + 13 = x

      This is not one of the answer choice, but x - 5 = 13 is. If we subtract 5 from both sides of the equation we created above, this proves to be our answer.

         B. x - 5 = 13

Answer:

it B

Step-by-step explanation:

B stands for ben

like talking ben?

Answer:

c. 7x-2=19

Step-by-step explanation:

1. add 2 to both sides 7x-2(+2)=19+2

2. divide by 7 on both sides7x/7=21/7

3. x=3

Answer:

none of them are right not sure what's up with that.

Step-by-step explanation:

cylinder is base*height

base is pi*r^2, or 25pi

height is 9, so the volume is 225pi is about 707, so none of the answers are correct

Answer:6.8

Step-by-step explanation:

i dont know how to explain.

Answer:

yes than can become a rational number!!

Answer:

first you need to take way 20,000-88.75 =19,911.25 now you need to multiple 19,911.25×270=3,982345.go and see for your self

Answer:

a = 1/2, b = 32.

Step-by-step explanation:

Second = a1r  and fifth = a1r^4   where  r = common ratio   and  a1 is the first mean after a.

So 1ar^4 / a1r = r^3 = 16/2

r^3 = 8

r = 2.

So a1 = 1.

The 5 means are 1, 2, 4, 8, 16

S0 a = 1/2 = 1/2 and b = 2*16 = 32.

999999999999999999999999