Hector invests $10,000 at age 21. He hopes the investments will be worth $150,000 when he turns 50. If the interest compounds continuously, approximately what rate of growth will he need to achieve his goal? Write your answer as a percentage rounded to one decimal place.

Answer:

25:10

Step-by-step explanation:

Answer: y=7x^2−42x+69

Step-by-step explanation:

Answer:

Step-by-step explanation:

2 2/3 = 8/3

24 ÷ 8/3

= 9

Answer:

y = 3x -3

Step-by-step explanation:

Find the slope first

Givens

y2 = 3

y1 = - 3

x2 = 3

x1 = 1

Equation

m= (y2 - y1)/(x2 - x1)

Solution

m = (3 - - 3) / (3 - 1)

m = (3 + 3) / 2

m = 3

Find the y intercept next

Use either point to find the y intercept

y = 3x + b

x = 3

y = 3

y = 3*3 + b

3 = 6 + b

-3 = b

Answer

y = 3x - 3

Answer:

-328/34

Step-by-step explanation:

Here,

Perimeter of rectangle = 6(12x+5)

Perimeter of equilateral triangle = 4(x-2)

Since they are equal, 6(12x+5) = 4(x-2)

or, 72x + 30 = 4x - 8

or, 68x = -38

or, x= -38/68 or -19/34

Now,

Area of triangle ( or rectangle whichever you prefer)

= 4* -19/34 - 8

= -76/34 - 8

= - 328/34

Answer:

see below

Step-by-step explanation:

8+3m= -7

Subtract 8 from each side

3m+8-8= -7-8

Combine like terms

3m= -15

Divide each side by 3

3m/3 = -15/3

m = -5

Check

8+3m= -7

8+3(-5) = -7

8-15 = -7

-7 = -7

m = -5 is the solution

Step-by-step explanation:

8+3m=-7

3m= -7-8

3m=-15

m= -5

Answer:

The answer is 11

Step-by-step explanation:

so substitute 3 for x, then your equation would be 3^2 + 2

3^2 is 9

9 + 2 = 11

Answer:

13.44

Step-by-step explanation:

she is right...........

Answer:

The correct unit price is $1.12 per pair. The error comes from dividing $67.20 by only 5 pairs (instead of 60 pairs).

Step-by-step explanation:

The contractor should have calculated the unit price as $67.20 divided by 60 pairs. Five dozen pairs is 5x12=60. This results in $67.20/60=$1.12 per pair. The error comes from dividing $67.20 by only 5 pairs (instead of 60 pairs).

Answer:

x= 6.6     Length of DE= 16.2

Step-by-step explanation:

I got it right on edge

Answer:

Whole numbers are also integers. There are other integers which are the opposites of the whole numbers (−1, −2, −3, ...). These negative numbers lie to the left of 0 on the number line. Integers are the whole numbers and their opposites.

Answer:

Step-by-step explanation:

X=5

Answer:

Step-by-step explanation:

The property is commutative property because the numbers can be moved or swapped without making the answer different.

Not sure

Answer:

x = 16

Step-by-step explanation:

90 = x+8+66

x = 90-74

x = 16

Answer:

16

Step-by-step explanation:

:D

Answer:

7

Step-by-step explanation:

The number of triangles in the figure is given as 15 triangles.

Given that,
To determine the number of triangles inside the triangles.

In arithmetic, combination and permutation are two different ways of grouping elements of a set into subsets. In combination, the components of the subset can be recorded in any order. In a permutation, the components of the subset are listed in a distinctive order.

here,
here in the figure inside the parent figure, there are 6 segments that contribute two triangles in the figure,
Number of triangle  = 6C2
Number of triangle = 15

Thus, the number of triangles in the figure is given as 15 triangles.

Learn more about permutations and combinations here: https://brainly.com/question/2295036

#SPJ2

Answer:

3b(2a+1)(2a-1)

Step-by-step explanation:

12a²b-3b

3b(4a²-1)

3b{(2a)²-1²)}

3b(2a+1)(2a-1)

Answer:

it is 5

Step-by-step explanation:

102% x 5 =5.1

if you times each answer with you percentage you get the answer

Using the principle of percentage approximation, the value of the number, n is 5

Let the number = n

We then write the expression thus :

(102/100) × n = 5.1

1.02n = 5.1

n = 5.1 / 1.02

n = 5

Therefore, the number, n in which 102% gives a value of 5.1 is 5

Learn more :https://brainly.com/question/19802693

Answer:

3/2

Step-by-step explanation:

If you wanted whole number, it would be 1 1/2, but you said as a fraction, so that would be 3/2

Answer:

64 ounces = 4 pounds

Step-by-step explanation:

Answer:

cos 38, sin 38, sin 1580, cos 1589

Step-by-step explanation:

Given

3d² - 16dc - 12c²

Using middle term break

= 3d² - (18 - 2 )dc - 12c²

= 3d² - 18dc - 2dc - 12c²

= 3d( d - 6c) - 2c( d - 6c)

= ( d - 6c) ( 3d - 2c)

Hope it helps and have a great day onwards ❤

Answer:

= 3d² - (18 - 2 )dc - 12c²

= 3d² - 18dc - 2dc - 12c²

= 3d( d - 6c) - 2c( d - 6c)

= ( d - 6c) ( 3d - 2c)

Step-by-step explanation:

Answer:

These are similar triangles.

By changing the length of the base of the corresponding triangle, the 3 interior angles of this triangle remain equal to the original

Therefore, if these triangles are similar, their corresponding sides must give equal ratios to each other:

This means that BF/FE = BC/CD=FC/ED

The total length of line segment BD=BC+CD; BC=6, CD=42; BD=6+42, BD=48

BE=BF+FE; BE=9+?

if BF/FE=BC/CD then 9/BE=6/42; 6/42=3/21 or 1/7. 9/BE=1/7; 1/7=9/BE

1x9=9, 7x9=63

63=BE

Step-by-step explanation:

Answer:BE is equal to 72.

Step-by-step explanation: They are similar triangles. We know CD and BC. So we can find the comparison between the two. And we see that BC x 7 = CD. So the same will be said for BF and FE. We have BF is equal to 9. So 9 x 7 = 63. However, now we need to add the two together in order to get BE. Because BF + FE = BE. So 9 + 63 = 72

Answer:

36/25

Step-by-step explanation:

7 multiplied by 3 multiplied by 2 whole over 7 multiplied by 5, the whole raised to the power of 2 multiplied by 7 to the power of 0 over 5 to the power of negative 3, whole to the power of 3 multiplied by 5 to the power of negative 9

((7 * 3 * 2)/(7 * 5))^2 * (7^0/5^-3)^3 * 5^-9 =

= (42/35)^2 * (1 * 5^3)^3 * 5^-9

= (6/5)^2 * 5^9* 5^-9

= 36/25 * 5^0

= 36/25

Answer:

(10, -2)

Step-by-step explanation:

x = 10 (its given in the problem)

then plug in 10 for x in the second equation and solve for y

3(10) + 5y = 20

30 + 5y = 20

5y = -10

y = -2

so the solution is (10, -2)

Answer:

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

General Formulas and Concepts:

Pre-Algebra

Order of Operations: BPEMDAS

Algebra I

Step-by-step explanation:

Step 1: Define

Find points from graph.

Point (1, 1)

Point (3, -4)

Step 2: Find slope m

Simply plug in the 2 coordinates into the slope formula to find slope m

Answer:23

Step-by-step explanation:

:)

Additive inverse of 23 will be -23

Its the opposite which is negative on the number line

9514 1404 393

Answer:

  4

Step-by-step explanation:

The least common multiple of 13 and 21 is 274, so the number of interest will be 10 less than that. The value in the given range is ...

  2(274) -10 = 536

We are interested in the remainder from 536/19, which is 4.

__

536 = 13·41 +3 = 21·25 +11 = 19·28 +4