Mila invested $1,500 in an account in the year 2010, and the value has been growing exponentially at a constant rate. The value of the account reached $2, 100 in the year 2015. Determine the value of the account, to the nearest dollar in the year 2024.

Answers

Answer 1

Answer:

$3867.80

Step-by-step explanation:

f(x)=a(1+r)^{x}

f(x)=exponential growth function

a=initial amount

r=growth rate

{x}=number of time intervals

so let x=years

start amount is 1,500

1,500(1+r)^5=2100

(r+1)^5= 7 /5

((r+1)5) ^1 /5 =( 7 /5 ) ^1 /5

r=0.06961

which is rounded 7 percent growth rate

2024-2010=14 years

1,500(1+0.07)^{14}=

3867.801225

Now round cause it's money

$3867.80


Related Questions

Please help math 50 points please dont lie

Answers

Answer:

8,250

Step-by-step explanation:

10 to the power of 2 is 100, move the decimal 2 spaces to the right.

Answer:

Hi, i think the answer would be the third option, 8,250.

Step-by-step explanation:

You do the exponents first in this equation according to the acronym PEMDAS. 10 to the second power is 100, so now you have

82.5 × 100

This would be equal to moving the decimal point two spaces to the right, giving us 8,250 as the answer

for g(x)=1/2x-11, find x when g(x)=-5

Answers

Answer:

x = 12

General Formulas and Concepts:

Pre-Algebra

Order of Operations: BPEMDAS

Brackets Parenthesis Exponents Multiplication Division Addition Subtraction Left to Right

Equality Properties

Algebra I

Function Notation

Step-by-step explanation:

Step 1: Define

g(x) = 1/2x - 11

g(x) = -5

Step 2: Solve for x

Substitute:                    -5 = 1/2x - 11Isolate x term:              6 = 1/2xIsolate x:                       12 = xRewrite:                        x = 12

I need the answer to this ASAP!!!! 30 points!!!

Answers

Answer:

6(1/4) or (25/4) pounds

Step-by-step explanation:

      1       1(1/4)  1(1/2)   1(3/4)          2

<-----|---------|---------|------------|-----------|---->

      X         X        X             X            X

      X         X                                      X

                  X

                  X

                  X

1(1/4) or (5/4)

(5/4) x 5 = 6(1/4) or 25/4 pounds

I hope this helps!

Find the unknown length. Round to the nearest tenth if necessary.

Answers

Answer:

55 i believe

28 + 27 = 55

Answer:

a = 7.4

Step-by-step explanation:

Since this is a right triangle, we will use the Pythagorean theorem:

c^2 = a^2 + b^2

28^2 = a^2 + 27^2

784 = a^2 + 729

55 = a^2

a = 7.4

find the missing value to complete the square.
x^2 +8x+ ___

Answers

Answer:

the answer is x^2+8x+ c

Step-by-step explanation:

If  x 2 + b x + c  is a perfect square, then there is always the same relation ship between  b and c "Find half of  b  and square it" , so  c = ( b /2 ) ^2

 x^ 2 + 8 x + ( 8/ 2 )^2  =

x^ 2 + 8 x + 4^ 2 =

x^ 2 + 8 x + 16  =

( x + 4 ) ^2

I hope that helps you

m/4 - 3 = 5 HELPPPPPPPPP PLZZZXZZZZZZZZZZZZZZZZZZ

Answers

M-32 should be correct

Asap answer plssss!, John can do a piece of work in 6 days. When he and Marsha work together, it takes only 4 days. How long will it take Marsha to do the work if she works alone? asap answer plssssss

Answers

Answer:

12 days

Step-by-step explanation:

Let the amount of work be x.

John:

6 days = x

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

Together:

4 days = x

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

Marsha:

1 day = [tex]\frac{1}{4}[/tex]x - [tex]\frac{1}{6}[/tex]x

        = [tex]\frac{6}{24}[/tex]x - [tex]\frac{4}{24}[/tex]x

        = [tex]\frac{2}{24}[/tex]x

        = [tex]\frac{1}{12}[/tex]x

Marsha can do [tex]\frac{1}{12}[/tex] of the work in 1 day.

No. of days taken (Marsha) = x ÷ [tex]\frac{1}{12}[/tex]x

                                             = 12

need this real fast please

Answers

Answer:

slope = - [tex]\frac{2}{3}[/tex]

Step-by-step explanation:

Calculate the slope m using the slope formula

m = [tex]\frac{y_{2}-y_{1} }{x_{2}-x_{1} }[/tex]

with (x₁, y₁ ) = (0, 2) and (x₂, y₂ ) = (3, 0) ← 2 points on the line

m = [tex]\frac{0-2}{3-0}[/tex] = [tex]\frac{-2}{3}[/tex] = - [tex]\frac{2}{3}[/tex]

Answer:

-2/3

Step-by-step explanation:

The equation for slope is y2-y1 over x2-x1.

Or you can easily do rise over run.

Lets use the point (0,3.) So, we want to calculate slope, but the only other direct point is (0,2) so lets also use that.

If we start at the point (0,2) and go down 2 units, we just have to go over 3 units to get to (0,3) so thats convienient.

The rise is the -2 units, since you go down 2 units to get to the second point. You also have to run 3 units over to get to the second point.

The run is 3, and the rise is -2.

Rise over run

-2 (rise) over 3 (run)

-2/3

-2/3 is the slope.

Hope this helps!

A triangle has side lengths 4y, 5y and 9y. The longest side of the triangle is 5y. What value of y proves that this triangle is a right triangle?

Answers

Answer:

9y i can be rong

Step-by-step explanation:

The graph shows the number of bacteria presented in an experiment


What is the rate of change for the number of bacteria from t=2 to t= 4​

Answers

Answer:

fdsvStep-by-step explanation:

In 5-7 complete sentences, write a real world situation that can be modeled by the equation. 3x = 5x + 10

Answers

hmmmm i don’t think you can

Solve 6 + 1/4a = 3 for a.

Answers

Answer:

a= -12

Step-by-step explanation:

Write an expression that represents the height of a tree that begins at 2 feet and increases by 4 feet per year. Let y represent the number of years. PLEASE HELP ME

Answers

Answer:
2+4y

Explanation:
The height of the tree increases by 4 feet per year, so we know to multiply 4 by the number of years to find its height. The initial height of the tree is 2, so we add 2 to 4y.

Example: The height of the tree in 6 years
2+4y
2+4*6
=2+24
=26

I hope this helps!

Answer:

2+4y

Step-by-step explanation:

Guys I need help : How do we find square of any number Ex.121.... for grade 5 and 6 ez method plis

Answers

Answer:

[tex]hey \: its \: easy[/tex]

(1) Square of 5 = 5 × 5 = 25

(2) Square of 10 = 10 × 10 = 100

(3) Square of 16 = 16 × 16 = 256

(4) Square of 25 = 25 × 25 = 625

(5) Square of 110 = 110 × 110 = 12100

like this you can also find it

hope it helps

pls mark as brainliest

Answer:

Step-by-step explanation:

You have to figure out what has to multiply by itself to get to that number.

So for example, 121. The square root is more than 10 because 10 times 10 equals 100. It's less than 15 because 15 times 15 is a little over 200. If you have your multiplication tables memorized, you'd know that 11 multiplied by itself is 121. Therefore, the square root to 121 is 11. Hope this helps! (:

43. (09.01)
Let A = {15, 25, 35, 45, 55, 65} and B = {25, 45, 65}. What is ANB? (1 point)
O {15, 25, 35, 45, 55, 65}
O {15, 35, 55}
{25, 45, 65}
{15, 25, 35, 45}

Answers

Answer:

That is;

{25,45,65}

Step-by-step explanation:

Here, we want to find the set of A n B

That is the set that contains values that are present in both sets A and B

Mathematically, that will be;

{25,45,65}

Molly is throwing a beach party. She still needs to buy beach towels and beach balls. Towels are $3 each and beach balls $4 each. She bought 10 items in total and it cost $34. How many beachballs did she got?

Answers

Answer:

6

Step-by-step explanation:

Which fraction is BETWEEN 211 and 311?
Responses

Answers

Answer:

3/12 or 1/4

Step-by-step explanation:

To do this you can just increase the denominator by 1, at least for this question

3/11 is around 0.27, while 3/12 is 0.25. 2/11 is 0.19, which is smaller than 0.25, so

3/12 is a justificable answer.

3/12 or 1/4 is going to be your answer

1. 6(4x+1)=78
2. 2(x+10)=60

Solve for x​

Answers

Answer:

1. x= -3

2. x= 20

Step-by-step explanation:

sorry if this is wrong,

Find the length of the hypotenuse of a right triangle with legs of 8 and 6.

Answers

Answer: 10
Explanation:
formula for hypotenuse : a^2+b^2=c^2
8^2+6^2=c^2
64+36=c^2
100=c^2
so we find the square root of 100 and its is:
c=10

. A electric jug was sold allowing 20% discount
with Profit of Rs.120. If the jug was sold
allowing 30% discount, there would have
been loss of Rs. 270. Find the MP of the jug.
solu​

Answers

9514 1404 393

Answer:

  marked price = Rs. 3900

Step-by-step explanation:

The difference between the discounts is 30% -20% = 10% of the marked price. The difference in Rs is 120 -(-270) = 390. If Rs. 390 is 10% of the marked price, then the marked price is (Rs. 390)/(0.10) = Rs. 3900.

The marked price is Rs. 3900.

_____

Check

A 20% discount from 3900 is a price of 3120. If the profit is 120, the cost price is 3000. A 30% discount from 3900 is 2730. This is 270 below the 3000 cost price, so our answer is consistent with problem requirements.

Find the missing interest rate.
I = $63
P = $420
r = %
t = 3 years

Answers

Answer: r=5%

Step-by-step explanation:

I=Prt

I/P=Prt/P

I/P=rt

I/(P*t)=rt/t

r=I/Pt

r=63/(420*3)

r=21*3/(420*3)

r=21/420

r=1/20

r=0.05

r=0.05 * 100%

r=5%

answer correctly pls and i will give BL

Answers

Answer:

I would say 4 more miles than you each week

Step-by-step explanation:

Henry wanted to collect 65 pounds of cans in 7 days. How much should he collect each day to reach his goal? Which two whole numbers does your answer lie between?

Answers

Answer:10 cans per day
Divide 65 by 7 and increase by 1 so that you get a number higher and not less than 65

Help me with number 11 please

Answers

umm I don't remember I would say if I remembered

Help pleasee due soon!! WIll give Brainliest

Answers

Answer:

9.7

Step-by-step explanation:

Answer:

[tex]\boxed {\boxed {\sf x \approx 9.7}}[/tex]

Step-by-step explanation:

This is a right triangle, which we know because of the square in the corner of the triangle. We can use the right triangle trigonometric ratios.

[tex]sin( \theta) =opposite/hypotenuse[/tex]  and [tex]cos (\theta) = adjacent /hypotenuse[/tex] and [tex]tan (\theta)=opposite/adjacent[/tex]

First, identify each side of the triangle as adjacent, opposite, or hypotenuse, relative to the 68 degree angle.

The x is next to, or adjacent, to the angle. The 24 is opposite. We are not given the hypotenuse.

[tex]adjacent= x \\opposite= 24 \\hypotenuse= unknown[/tex]

Since we have the adjacent and opposite, we must use tangent.

[tex]tan (\theta)=\frac{opposite}{adjacent}[/tex]

Substitute the values in. The theta (θ) is the angle.

[tex]tan (68)=\frac{24} {x}[/tex]

Solve for x. One way is by cross multiplying.

[tex]\frac{tan(68)}{1}=\frac{24}{x}[/tex]

Multiply the 1st numerator by the 2nd denominator. Then, multiply the 1st denominator by the 2nd numerator.

[tex]tan (68)*x=1*24[/tex]

[tex]tan(68)*x=24[/tex]

Evaluate tan(68) using a calculator.

[tex]2.47508685*x=24[/tex]

Divide both sides of the equation by 2.47508685. This will isolate the variable x. ( We divide because multiplication is occurring between 2.47508685 and x, and division is the inverse of multiplication).

[tex]\frac{2.47508685*x}{2.47508685}=\frac{24}{2.47508685}[/tex]

[tex]x=\frac{24}{2.47508685}[/tex]

[tex]x=9.69662943[/tex]

Round to the nearest tenth. The 9 in the hundredth place tells us to round up. The 6 becomes a 7.

[tex]x \approx 9.7[/tex]

In this right triangle, x is equal to about 9.7

Does (2,2) make the inequality 5x+4y>20 true?

Answers

Answer:

No

Step-by-step explanation:

substitute the coordinates of the point into the left side of the inequality and check the value obtained against the right side.

5(2) + 4(2) = 10 + 8 = 18 < 20

then (2, 2 ) does not make the inequality true

9) f(x) = 3-4x – 12
x2 + 3x + 2
y-int:
HA:
Hole:
VA:
x-int:

Answers

Answer:

x=3,2i,-2i

Step-by-step explanation:

-4+5x-7=10+3x-2x. Solve for x

Answers

Answer:

-4 + 5x - 7 = 10 + 3x - 2x

5x - 3x + 2x = 10 + 4 + 7

4x = 21

x = 21/4

x = 5 1/4 or 5.25

Answer: 5=x

Step-by-step explanation:

-4+5x-7=10+3x-2x

Combine like terms:

-10+5x=10+x

Subtract 10 on both sides:

-10-10+5x=10-10+x

-20+5x=x

Subtract 5x on both sides:

-20+5x-5x=x-5x

-20=-4x

Divide -4 on both sides:

-20/-4=-4x/-4

5=x

which is an equation for the line passing through the points (-3,3) and (6,9)​

Answers

Answer:

y=2/3x +5

hope this helps

Answer:

[tex] \red{ \boxed{ \bold{2x - 3y + 15=0}}}[/tex]

Explanation

[tex] slope \:of \:the\: required\:\: line \implies\\\frac{9-6}{6-(-3)}=\frac{6}{9} [/tex]

[tex] equation \:of \:the\: required\:\: line\implies\:\\y - 3 = \frac{6}{9} (x + 3)[/tex]

[tex] \implies \: 9y - 27 = 6x + 18[/tex]

[tex] \implies \: 6x - 9y + 45=0[/tex]

[tex] \implies\:2x-3y+15=0[/tex]

Hence the equation of the line is

[tex] \green{ \boxed{ \bold{2x - 3y + 15=0}}}[/tex]

simply 8/-4 dived by -3/9

Answers

Answer:

-6

Step-by-step explanation:

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