James is trying to save money for college. When
he is 5 years old, his uncle puts $750 into a
savings account for him. The money should
increase by 5% each year until he needs it for
college.
Write an exponential model for this situation.

Answers

Answer 1

Answer:

[tex]y=(750)1.05^t[/tex], where [tex]t[/tex] is the time (in years) from investment

Or  [tex]y=(750)1.05^{t-5}[/tex], where [tex]t[/tex] is the age of James

Step-by-step explanation:

exponential model:  [tex]y=ab^t[/tex],  where [tex]t[/tex] is the time (in years) from investment

when t = 0, y = 750

[tex]\implies 750=ab^0[/tex]

As [tex]b^0=1[/tex]

[tex]\implies 750=a[/tex]

Therefore, [tex]y=750b^t[/tex]

If the savings increase by 5% each year, then b = 105%.

105% = 105/100 = 1.05

Therefore, b = 1.05

So final model: [tex]y=(750)1.05^t[/tex], where [tex]t[/tex] is the time (in years) from investment

Or, we can write this as [tex]y=(750)1.05^{t-5}[/tex], where [tex]t[/tex] is the age of James


Related Questions

Find the solution for x if |6x + 8l=32.

Answers

Answer:

2.2      Solve  :    3x-20 = 0

Add  20  to both sides of the equation :

                     3x = 20

Divide both sides of the equation by 3:

                    x = 20/3 = 6.667

x = 20/3 = 6.667

A baker prepared 264 more cookies than muffins. She sold 3/8 of the cookies and half of the muffins. She had 588 cookies and muffins left altogether. How many cookies did she bake at first?​

Answers

Answer:

She baked 640 cookies at first.

Step-by-step explanation:

Let cookies be x and muffins be y,

Let cookies remaining be z and remaining muffins be a

x = 264 + y

now,

x - 3/8 of x = z

x - 3x/8 = z

or, (8x-3x)/8 = z

so, z = 5x/8

Now,

y - y/2 = a

or, (2y-y)/2 = a

so, a = y/2

Now,

z + a = 588

or, 5x/8 + y/2 = 588

as we know x = 264 + y,

or, 5(264 + y)/8 + y/2 = 588

or, (1320 + 5y)/ 8 + y/2 = 588

or, (2640 + 10y + 8y)/16 = 588

or, 2640 + 18y = 9408

or, 18y = 9408 - 2640

or, 18y = 6768

so, y = 6768/18

so, y = 376

now,

x = 264 + y

or, x = 264 + 376

so, x = 640

Provide an appropriate response. A quiz consists of 100 true or false questions. If the student guesses on each question, what is the standard deviation of the number of correct answers?​

Answers

Answer:

25-50 correct

Step-by-step explanation:

pls answer I will give brainliest

Answers

A. Around $2.00 hope it helps sorry if it doesn’t!

Please help with this equation, it would really help me. Thank you.

Answers

Answer:

the volume should be 2/15

A coral reef grows 0.19m every week. How much does it grow in 14 weeks? Write your answer in centimeters.

Answers

0.19m x 14 = 2.66m
2.66m = 266cm

Answer:

The coral reef grows 266 cm in 14 weeks.

Step-by-step explanation:

Lets convert 0.19 meters to centimeters.

1m= 100cm

0.19m×100= 19 cm

It grows 19 cm every week, so:

[tex]\frac{1w}{19 cm} *14 =\frac{14w}{x= 266 cm}[/tex]

So, the coral reef grows 266 cm in 14 weeks.

Hope this helps!


A person's blood pressure (in millimeters of mercury) while resting is given by the function (1) = 23 sin (2xt) + 100, where t is time in seconds. Find his blood pressure after 1 second

Answers

Answer:
Does tha 1 in the equation represent the second
Step-by-step explanation:

PLS ANSWER AS SOON AS POSSIBLE!!!!

Answers

Answer:

Here's a answer to your question.

A bird of species A, when diving, can travel six times as fast as a bird of species B top speed. If the total speeds for these
two birds is 259 miles per hour, find the fastest speed of the bird of species A and the fastest speed of the bird of species B.

Answers

Answer: 240mph

Step-by-step explanation:

Turn the base 2 number 1111 into base 10

Answers

Answer:

7

Step-by-step explanation:

[tex]111 \\ {1}^{2} {1}^{1} {1}^{0} \\ 1 \times {2}^{2} + 1 \times {2}^{1} + 1 \times {2}^{0} \\ 4 + 2 + 1 \\ = 7[/tex]

The perimeter of a square is 48 millimeters. What is its area?

Answers

Answer: 144 square mm

Explanation:

The perimeter is 48 mm. We divide that by 4 to find the side length of the square, since each side is the same length.

48/4 = 12

Each side is 12 mm long.

This means the area of this square is 12^2 = 12*12 = 144 square mm

Zarah bought x candies and y cakes from a shop. Price of each candy is $ 5 and price of
each cake is $ 20.
1. How much money did Zarab pay for all candies? Give answer in terms of x
2. What was the cost of all cakes that Zarah bought? Give answers in terns of y
3, Find the total cost of candies and cakes in terms of x and y
4. If x=10 and y =5, how nonch money did she spend for the candies and cakes?

Answers

Zarab pay for all candies = 5x

Zarab pay for all cakes = 20 y

Total cost = 5x + 20y

Money spent = 5x + 20y

= 5 × 10 + 20 × 5

= 50 + 100

= $150

Please help me with this question

Answers

[tex]volume \: = \frac{1}{3} \times base \: area \: \times \: height \\ [/tex]

Thus :

[tex]80 = \frac{1}{3} \times 24 \times h \\ [/tex]

[tex]h = \frac{80 \times 3}{24} \\ [/tex]

[tex]h = \frac{240}{24} \\ [/tex]

[tex]h = \frac{24 \times 10}{24} \\ [/tex]

[tex]h = 10 \: cm[/tex]

Thus the last option is the correct answer.

What’s the correct answer for this question?

Answers

2.36- dollars per pound
0.42- pound per dollars

Find the slope of each line.

PLEASE HELP!!! 15 PTS!!!

Answers

Answer:

im pretty sure its -3/2

Step-by-step explanation:

since you have to do rise over run and your falling 3 so its a negative 3 and you always run right so its run 2 so then its -3/2 if its not that sorry

4x 1/5 please someone help me

Answers

Answer:

24/5

Step-by-step explanation:

1 1/5 is equal to 6/5. 4 times 6/5 is first 4 times 6 which is 24 and then /5. So the answer is 24/5

what is the answer help

Answers

Answer:

900 batteries

Step-by-step explanation:

First we must find how many batteries does 1 calculator need

we can do this by dividing 160 by 40

which will give us 4 batteries per calculator

then we multiply the amount of calculators we have with 4

225×4 = 900 so we need 900 batteries

help me pls give me awnser

Answers

Answer:

THE IS 32

Step-by-step explanation:

MALPI THE NUBERS

Solve For x ~
19x = 361





Thnx<3"​

Answers

[tex]\bold{Heya}[/tex] ~

✰ [tex]\sf{Solve~for~x}[/tex] ✰

[tex]\sf{19x~=~361}[/tex]

[tex]\huge \boxed {\underline{Explanation}}[/tex]

—————————————

[tex]\sf{19x~=~361}[/tex]

[tex]\sf{Divide~both~sides~by~19}[/tex]

[tex]\sf{\frac{19x}{19}~=~\frac{361}{19}[/tex].

[tex]\sf{Simplify}[/tex]

[tex]\sf{x~=~19}[/tex]

Hope It Helps ! ~

#LearnWithBrainly

[tex]\underline{Answer~:}[/tex]

Jace •᎑•

Swimming Pool On a certain hot summer's day, 685 people used the public swimming pool. The daily prices are $1.25 for children and $2.50 for adults. The receipts for admission totaled $1352.50. How many children and how many adults swam at the public pool that day?​

Answers

Answer:

120 children and 388 adults bought tickets for the swimming pool. Explanation: Create two simultanous equations:.

Math Problem Lots of points help please!

Answers

<FIG=180-(44+74)=180-118=62<FIH=118°

And

<IFH=180-137=43

Now

bigger angle has bigger side.

So the order is

FI<IH<GI<FG<FH

Are this functions yes or no how can I tell if it is ?

Answers

Answer:

yes they are all functions

Step-by-step explanation:

Despite f(x) being the classic way to write a function,

a function has:

an input (domain)a relationship (maps to)an output (range)

A function relates each element of a set with exactly one element of another (possibly the same) set.  

One-to-one and many-to-one are functions, but one-to-many is not a function.

You can also carry out the Vertical Line Test on a graph.  If the vertical line only crosses the curve once, it is a function.  If it crosses more than once it is still a valid curve, but is not a function.

Yes they all are functions

Functions should include

Two variables (Here they are x and f(x))Must have domain and range.Function must return a new value as output when any input is given .

An angle measures 134° less than the measure of its supplementary angle. What is the measure of each angle?

Answers

Answer:

23° and 157°

Step-by-step explanation:

Let n represent the smaller angle then the larger angle would be...

n+134

Supplementary angles add up to 180 degrees. We can use this information to set up an equation...

n+n+134=180

Combine like terms

2n+134=180

Subtract 134 from both sides

2n=46

Divide both sides by 2

n=23

n+134=157

23° and 157°

-3(x+4) I have no idea

Answers

Answer:

The simplified version of this equation is -3x - 12.

Step-by-step explanation:

To simplify this equation, distribute -3 to both x and 4.

-3(x+4) = -3x -12

Answer:

-3x-12 as an expression

Step-by-step explanation:

To solve this problem, we need to distribute!

Multiply -3 by both the x and the 4

When we do this, we get:

-3x and -12

Note: when you multiply a positive by a negative, you get a negative so it turns into a negative number

Note 2: When you see an x without a number in front of it, it becomes 1x. In this problem, that is why it is a -3x because -3 x 1 is -3

Hope this helps! :) Please award brainliest if possible!

15. Sensei's Judo Club has a competition for
the students. If you win a grappling match,
you are awarded 5 points. If you tie, you
are awarded 2 points. Jeremy grappled 15
times and his score was 48 points. How
many grapples did Jeremy win?

Answers

Answer:

6 grapples

Step-by-step explanation:

x = number of wins

y = number of ties

y = 15 - x

48 = 5x + 2y

48 = 5x + 2(15 - x)

48 = 5x + 30 - 2x

48 = 3x + 30

18 = 3x

x = 6

The number of grapples that Jeremy win will be 6.

What is the solution to the equation?

The distribution of weights to the variables involved that establishes the equilibrium in the calculation is referred to as a result.

A relationship between two or more parameters that, when shown on a graph, produces a linear model. The degree of the variable will be one.

Sensei's Judo Club has a competition for the students.

Let x be the number of wins and y be the number of ties.

If you win a grappling match, you are awarded 5 points.

Then the equation will be

x + y = 15

y = 15 - x

If you tie, you are awarded 2 points.

Jeremy grappled 15 times and his score was 48 points.

Then the equation will be

5x + 2y = 48

Put the value of y in the above equation. Then we have

5x + 2(15 - x) = 48

5x + 30 - 2x = 48

3x = 18

x = 6

The number of grapples that Jeremy win will be 6.

More about the solution of the equation link is given below.

https://brainly.com/question/545403

#SPJ5

Find the value of x.

Answers

Sum of angles of triangle = 180°

Therefore:

x + 60 + 41 = 180x + 101 = 180x = 180 - 101x = 79°

hope it helps!

Please answer the question in the picture

Answers

Answer:

no

Step-by-step explanation:

because 8 isnt a perfect square

1. A triangle has two angles that measure 50° and 40°. The third angle is not labeled yet. Mark each of the
statements that are true about it.
All sides have different lengths
Two sides have the same length
The third angle measures 90°
The third angle measures 110°
The third angle measures 50°

Answers

Answer:

all sides have different lengths

and the third angle measures 90⁰

The medians of are , , and . They meet at a single point .
(In other words, is the centroid of .)
Suppose , , and .
Find the following lengths.
Note that the figure is not drawn to scale.

Answers

#VS

We know that medians bisect eachother at 2:1 at centroid

Vs be x

[tex]\\ \tt\hookrightarrow 18:x=2:1[/tex]

[tex]\\ \tt\hookrightarrow 2x=18[/tex]

[tex]\\ \tt\hookrightarrow x=9[/tex]

#VU

VU be x

[tex]\\ \tt\hookrightarrow \dfrac{39}{3}=x=13[/tex]

#PT

[tex]\\ \tt\hookrightarrow VT=16/2=8[/tex]

PT=16+8=24

Answer:

#VS

We know that medians bisect eachother at 2:1 at centroid

Vs be x

#VU

VU be x

#PT

PT=16+8=24

Step-by-step explanation:

AXYZ is reflected across the y-axis. What are the endpoints of segment YZ?
A)
(-2,-3), (-2,-3)
B)
(-2, 3).(-2,-3)
(2,3), (2,-3)
D
(2.3).(-2,-3)

Answers

Answer:

I'm gonna head with B forgive me I'd I'm wrong

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