When Colby was born, his parents invested $1,000 in a fund that paid an

annual interest of 8%. How old will Colby be when the investment is worth

at least $4,000?

Answers

Answer 1

Given :

When Colby was born, his parents invested $1,000 in a fund that paid an

annual interest of 8%.

To Find :

How old will Colby be when the investment is worth  at least $4,000 .

Solution :

Let, time taken is x years.

So, the formula is :

[tex]P = A_o + \dfrac{A_o \times r\times t}{100}\\\\4000 = 1000 + \dfrac{1000\times 8\times t}{100} \\\\80t = 3000\\\\t = \dfrac{3000}{80} \ years\\\\t = 37.5\ years[/tex]

Therefore, Colby will be 37.5 years old.

Answer 2

The age of Colby will be [tex]37.5[/tex] years.

Simple interest :

The amount after t years is given by,

                            [tex]A=P+(\frac{P*r*t}{100} )[/tex]

Where P is principal, r is rate and t is time in years.

Given that, [tex]A=4000,P=1000,r=8\%[/tex]

Substitute values in above equations.

                    [tex]4000=1000+\frac{1000*8*t}{100} \\\\\frac{1000*8*t}{100}=3000\\\\t=37.5years[/tex]

Learn more about the investment here:

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Related Questions

Does anyone know this??? I need help please

Answers

Answer:

32

Step-by-step explanation:

QC = 16 and CS = 16 so 16 + 16 = 32

The answer is 32 hsbshshshsbsvaba

Mt. Calvary's budget for a swing set to be built for the Children's Church is $900. If the cost of the swing set should be at least one-fourth as much as the fort, how much can be spent on the fort and still build the swing set?

Answers

Answer:

[tex]Amount = \$4500[/tex]

Step-by-step explanation:

Represent Swing Set with S and Fort with F

Given

[tex]S = \$900[/tex]

[tex]S = \frac{1}{4}\ of\ F[/tex]  --- S = one-fourth of F

Required

Determine the amount spent on both

Substitute 900 for S in [tex]S = \frac{1}{4}\ of\ F[/tex]

[tex]\$900 = \frac{1}{4} * F[/tex]

Multiply both sides by 4

[tex]4 * \$900 = \frac{1}{4} * F * 4[/tex]

[tex]4 * \$900 = F[/tex]

[tex]\$3600= F[/tex]

[tex]F = \$3600[/tex]

The total amount to be spent it:

[tex]Amount = F + S[/tex]

[tex]Amount = \$3600 + \$900[/tex]

[tex]Amount = \$4500[/tex]

what is (36)+(675)x-93

Answers

-62739 hoped I helped

Ms. Storch is organizing a dance competition. She is charging a flat fee of 1 $18 for each group to enter the competition and an additional $2.75 per person in the group. If your dance group owes $70.25 for the competition, how many dancers participated?​

Answers

70.25-18 is 52.25. Then you just divide by the person charge; 2.75. There are 19 dancers.

Jerry takes trail mix on hikes. A package of dried apricots weighs 55.5 ounces. A package of sunflower seeds weighs 9 ounces. Jerry divides the apricots and seeds equally among 6 bags of trail mix.

How many more ounces of apricots than seeds are in each bag?

There are more ounces of apricots.

Answers

Answer:

7.75 ounces more

Step-by-step explanation:

Hope this helps!

Brainiest?

What is the total surface area of this cylinder? (WILL GIVE BRAINLIEST) Help needed ASAP.

Answers

Answer:

1539.38

Step-by-step explanation:

a=2 pi r squared +h(2 pi r)

7 is the diameter

and 28 inches is the height

pls mark as brainliest!!!

A block of silver is weighing 8 ounces is worth $104. What is the unit rate for the Value of silver in one ounce

Answers

Answer:

5

Step-by-step explanation:

Solve for x and find AB
Solve for y and find BX

Answers

9514 1404 393

Answer:

x = 7; AB = 30y = 5; BX = 25

Step-by-step explanation:

Opposite sides of a parallelogram are the same length.

  AB = CD

  5x -5 = 3x +9

  2x = 14

  x = 7

  AB = 5(7) -5)

  AB = 30

__

The diagonals of a parallelogram are bisected by each other.

  XB = XD

  7y -10 = 5y

  2y = 10

  y = 5

  BX = 7(5) -10

  BX = 25

I need helppppppppppppp

Answers

Answer:

use math

Step-by-step explanation:

y 2 - x +4
x+y<0

someone plz help me

Answers

are these two separate questions?

Anybody know the answer to these

Answers

M= -3
K=-5
X=3.1
There are the first 3 answers

9) How many 2/5 s can you get from 4/5?​

Answers

2/5 + 2/5 = 4/5

So, 2

“How many 2/5 are in 1?”

I love the easy ones!

The real math folks generally ignore them I guess because the easy ones are not worth their time, leaving said easy ones to dilettantes like me, who then look smarter-than-I-really-am to the noobies.

Love the easy ones.

So, to the question: How many two-fifths are in one?

Well now. How shall we handle this? Hmm…

I know! Let's count the fifths (just numbers, no booze), because it's probably as good a way of getting to an answer as any other way, the question is about fifths, and counting the fifths will at least give us a picture of what we're dealing with here.

Let's jump ahead, to see where we want to end up:

We want to end up with five fifths, also known as 5/5, because 5/5 is the same as 1. How do I know that 5/5 is the same as 1? Well, I know (you'll just have to trust me on this) because saying “5/5” is the same as saying “5 divided by 5”, and saying “1/2” is the same as saying “1 divided by 2", and so on. This is true for all fractions.

So: if 5/5 is the same as 5 divided by 5, then 5/5 equals 1. (You can see why, right? Any number divided into itself is equal to one; also, five goes into five exactly one time!).

And counting the fifths,

1/5 + 1/5 + 1/5 + 1/5 + 1/5 = 5/5 = 1

Or, to count them another way,

1/5 + 1/5 = 2/5

2/5 + 1/5 = 3/5

3/5 + 1/5 = 4/5

4/5 + 1/5 = 5/5

Now that we can see what's inside of that 5/5, let's count how many two-fifths are in five-fifths by adding 2/5 together until we get as close to 5/5 as possible without going over:

2/5 + 2/5 = 4/5

leaving just 1/5 remainder, meaning that there are two 2/5 in 5/5.

We can see that that is true and correct by looking at our little counting exercise above.

Now to make sure our reasoning is clear let's count our fifths again, this time slightly rearranging the way we write the numbers, and then taking things one step further:

(1/5 + 1/5) + (1/5 + 1/5) + 1/5 = 5/5

(2/5) + (2/5) + (1/5) = 5/5

And there it is: there are two 2/5 in 1!

So let's complete the addition for the sake of those like myself who need to see these things through to their furthest conclusion:

(2/5) + (2/5) + (1/5) = 5/5

4/5 + 1/5 = 5/5

5/5 = 5/5

5/5 = 1

1 = 1. And 2/5+2/5=4/5.

answer pleaseesesese

Answers

Answer:

a

Step-by-step explanation:

its a bc a is the only one that is the answer

using f(x)=2x^2 and g(x)=3x+4. whats (g of f)(5)?
whats (f of g)(5)?​

Answers

Answer:

f(g(x)) = 722, and g(f(x)) = 154

Step-by-step explanation:

f(x) = 2x²

g(x) = 3x + 4

g(f(x)) = 3(2x²) + 4

g(f(5)) = 3(2 × 5²) + 4

g(f(5)) = 3(2 × 25) + 4

g(f(5)) = 3 × 50 + 4

g(f(5)) = 154

f(g(x)) = 2(3x + 4)²

f(g(5)) = 2(3 × 5 + 4)²

f(g(5)) = 2 × 19²

f(g(5)) = 2 × 361

f(g(5)) = 722

help plz answer thank you

Answers

3 + 4, 3x3 equals 9 meaning your fraction would be 3

solve for X: 3х + 4 = 9x + 3 ​

Answers

Answer:

x=1/6

Step-by-step explanation:

The steps are in the picture below

Answer:

Step-by-step explanation:

here you go mate

step 1

3х + 4 = 9x + 3 ​ equation

step 2

3х + 4 = 9x + 3 ​ simplify

-6x+4=3

step 3

−6x+4=3  subtract 4 from both sides

−6x+4(-4)=3(-4)

-6x=-1

step 4

[tex]\frac{-6x}{-6} =\frac{-1}{-6}[/tex]  divide both sides

answer

x=[tex]\frac{1}{6}[/tex]

Pls can someone help me

Answers

Answer:

x = (h-12y-2)/4

Step-by-step explanation:

Here, we want to make x the subject of the formula

We have this as:

h = 4x + 12y + 2

4x = h-12y-2

x = (h-12y-2)/4

CAN ANYBODY GOOD WITH MATH HELP ME OUT PLEASE.

Answers

Answer:

Just put the money divided by the percent in a calculator-

Step-by-step explanation:

:/

A cookie recipe states for every 3 cups of flour, 1.5 teaspoons of vanilla are
needed. How many teaspoons are needed for 5 cups of flour? Answer as a
decimal and without units. *

Answers

Answer:

2.5 Teaspoons of vanilla are needed.

Step-by-step explanation:

If 3 cups of flour is 1.5 teaspoons of vanilla. 1.5 /3=.5 Meaning there is .5 teaspoons of vanilla per cup of flour.

If you have 5 cups of flour   5 x .5= 2.5 (teaspoons)

Does bin width matter when it comes to histograms? Why or why not?

Answers

Answer:

Avoid histograms with small bin widths that group data into lots of bins. A histogram constructed with small bin widths will show the distribution as a “pancake.” so no it does not help us see the pattern in the data.

Step-by-step explanation:

Utop you answer questions 8:10. Each unit on the graph represents 0.75 miles Round
answers to the nearest font when necessary
GROCERY STORE
JIM'S HOUSE
20
19
18
17
10
15
14
13
12
11
10
9
8
7
6
5
4
3
2
1
0
BANK
MALL
0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20
6. How many miles is Jim's house from the
mali?
7. Is Jim's house closer to the mall or the
bank? How many miles closer is it?
8. Jim is at his house, and his car has 25
miles until it runs out of goo Would Jim bo
able to make it from his house to the grocery
store and back without stopping for gos?
Explain
9. Jim loft his house and drove to the bank
On his way back home, Jim's wife called
when he was exactly half way home. How
many miles had Jim traveled when his wife
called?
10. Jim is hoping that a park will be built within 5 miles of his house. If a park is built at the
coordinates (12, 10), does that meet Jim's criteria? Explain.
Moreovering the Middle LLC, 2016
10
PRB

Answers

Answer:

6. 11.3 Miles

7. 1.5 Miles

8. No he would need 26 Miles , he only has 25 Miles.

9. 11.25 Miles

10. Not really it slightly goes over by about .80

Answer:

6: 15miles

7: 17miles

8: No, because just by going to the grocery is 13miles (times2) that's 26

9: 11.2 (not sure)

10: No, he said 5miles, the park is 5.8miles away from his house. (you don't have to but rounded is 6miles so he cant reach the park)

Step-by-step explanation:

Use the formula of a²+b²=c² (Pythagorean theorem)

6 in.
4in.
8in.
find the area

Answers

Answer:

192 in 2. multiply all of the numbers together

Step-by-step explanation:

6x4x8=192

Anna is making a square pen for her rabbit to play in. Each
side of the pen is 9 feet long.
The formula for the area of a square is A = 52, where A
stands for the area and s is the length of one side.
What is the area of the pen?
A. 9 square feet
B. 36 square feet
C. 18 square feet
D. 81 square feet

Answers

Answer:

[tex]area \: A = {s}^{2} \\ = {9}^{2} \\ A \: = 81 \: square \: feet \\ or \\ A = 81 \: {ft}^{2} [/tex]

Martin is paid an hourly rate of d dollars per hour for the first 40 hours he works per week. He is paid one-and-a-half times his
hourly rate for each hour he works in excess of 40 hours per week.
If Martin was paid $770 for working 50 hours in one week, which equation can be used to calculate d, Martin's hourly rate of pay?

Answers

Answer:

40d + 10(1.5d) = 770 can be used to determine Martin's hourly pay.

Step-by-step explanation:

Given that:

Hourly rate = d

Earning to first 40 hours = 40d

Earning of more than 40 hours = 1.5d

Amount paid per week = $770

Hours worked = 50 hours

first 40 hours + 10 hours = total earned

40d + 10(1.5d) = 770

Hence,

40d + 10(1.5d) = 770 can be used to determine Martin's hourly pay.

A shop sells a party hat at x dollars and a mask at y dollars. On a particular morning, 10 hats and 20 masks were sold for $30. In the afternoon, 8 hats and 10 masks were sold for $18. What is the cost of one hat and one mask? Let Hat be "H" and Mask be "M"

Answers

Answer:

m=1$

h = 1$

Step-by-step explanation:

i think... seems the only reasonable answer

The cost of one hat is $1 and cost of one mask is $1.

What is Equation?

Equations are mathematical statements with two algebraic expressions flanking the equals (=) sign on either side.

It demonstrates the equality of the relationship between the expressions printed on the left and right sides. LHS = RHS is a common mathematical formula.

Coefficients, variables, operators, constants, terms, expressions, and the equal to sign are some of the components of an equation. The "=" sign and terms on both sides must always be present when writing an equation.

We have 10 hats and 20 masks were sold for $30.

and, 8 hats and 10 masks were sold for $18.

let the cost of one hat be H and cost one Mask be M.

So, the system of Equation we get

10H + 20M = 30..........(1)

8H + 10M = 18...........(2)

Solving the above equation we get

10H - 16H = 30 - 36

-6H = -6

H = 1

and, 10 + 20M= 30

20M= 20

M= 1

Learn more about Equation here:

https://brainly.com/question/29538993

#SPJ3

Ship A sights ship B on a bearing of 308°. What is the bearing of A from B?


I need an explanation on how to do this please. I just learned this but I'm still confused.
Oh, and if you can, please include a picture!
Thank you!

Answers

Answer:

128°

Step-by-step explanation:

the answer is 128° i explained it as i could in the diagram hope you understand

Jackie spends 25% of her monthly salary on rent. Her rent is $650 a month. What is Jackie’s monthly salary?

Answers

Answer:2600

Step-by-step explanation: 25%=1/4

650×4=2600

There are 25 students in the class. 36% of the students ate hotdogs for lunch. How many students ate hotdogs?​

Answers

Answer:

9

Step-by-step explanation:

25 times .36 is 9!

I hope this helps!

Answer:

36% x 25= 9

9 students ate hotdogs

Step-by-step explanation:

just find out how many students are 36% of the class, all i did was take the precent of the class and multiplied it by the number of students in the class in this case 25

Solving Multi-Step Equations Maze
Drag the appropriate arrow to
show your path as you go
from the start to the finisch
DOWN START ve cochojuan for Xbo v pollo heard
START
(2x + 1) - 36
5(x ) - 100
2.75
Jul
10
Jul
3(2x + 4) 19
182x-X-7
18-15-3(6x + 5)
15
Til hay
II
58 7x25 - 4
X-9.6x22.5
15
-6,3
THE
END

Answers

Hmmm ik it’s called the hot dog method

what does b equal. 2/3b +19=35

Answers

2/3b + 19 = 35

          -19    -19

----------------------

2/3b  =  16

÷2/3    ÷2/3

----------------------

b  =  24

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