Tommy has $350 of his graduation gift money saved at home, and the amount is modeled by the function h(x) = 350. He reads about a bank that has savings accounts that accrue interest according to the function s(x) = (1.04)x−1. Explain how Tommy can combine the two functions to model the total amount of money he will have in his bank account as interest accrues after he deposits his $350. Justify your reasoning.

Answers

Answer 1

Answer:

So the functions that are given are the following:

[tex]h(x)=350\\s(x)=(1.04)^{x-1}[/tex]

So in order to find the money in his account, there would have to be a substitution for (x=$350) in the first function, and a place in the second function.


Related Questions

Three different sizes of sports-drinks mix are shown with their prices. Can the relationship between price and volume (in grams) be described by a constant rate? Explain ​

Answers

Answer:

No; the unit rate of price ($) per volume (g) is not equal for all the sizes.

Step-by-step explanation:

589,203 in expanded notation​

Answers

Standard Form: 589,203

Expanded forms can be written like a sentence or stacked for readability as they are here.

Expanded Notation Form: 589,203

= 500,000 + 80,000 + 9,000 + 200 + 0 + 3

Expanded Factors Form: 589,203

= 5 × 100,000 + 8 × 10,000 + 9 × 1,000 + 2 × 100 + 0 × 10 + 3 × 1

Expanded Exponential Form: 589,203

5 × 105 + 8 × 104 + 9 × 103 + 2 × 102 + 0 × 101 + 3 × 100

Sorry if i was not helpful hope this helps !

A classic physics problem states that if a projectile is shot vertically up into the air with an initial velocity of 151 feet per second from an initial height of 95 feet off the ground, then the height of the projectile, h, in feet, t seconds after it's shot is given by the equation:
h = - 16t² + 151t +95

Answers

Answer:

Step-by-step explanation:

144 = -16t² + 151t + 95

  0 = -16t² + 151t - 49

quadratic formula

t = (-151 ±√(151² - 4(-16)(-49))) / (2(-16))

t = (-151 ± 140.23195) / -32

t = 0.34 s

t = 9.10 s

what is the LCD of 9/10 and 3/5

Answers

Answer: 10

Step-by-step explanation:

9/10 = 9/10

3/5 = 6/10

Least common denominator right?


Find the area of a raised vegetable bed having a length of 2 yd and a width of
7/10
yd.

Answers

Answer:

1.4 or 1 2/5

Step-by-step explanation:

Area= Length x Width

2yd x 7/10 yd = 7/5 yds or 1.4 yds

The first side of a triangle measures 4 in. less than the second side, the third side is 3 in. more than the first side, and the perimeter is 15 in. How long is the third side?



If s represents the length of the second side, which of the following represents the length of the third side?

s - 4
s + 3
s - 1

Answers

Less would be minus and more is plus so the first side is 4 less than the second, or s - 4, and the third side is 3 more than the first, or
3 + s - 4.
3-4 + s = -1 + s or s - 1

So the answer is the third option, s - 1.

help ASAP each runner in a 4 4/5 mile race runs 4/5 of a mile find the number o runners on a relay team

Answers

Answer:

The Answer to your question would be 6 total runners on your relay team

Answer the question in the pic pls

Answers

the answer is 32. all you have to do is plug in the numbers for what the letters say they indicate so r=4 so you would plug in 4 where the r is and then plus 6 where the b is and then because b and d are right next to each other, that means you need to multiply so plug in 5 for d and then multiply those together, your equation should end up looking like this
√4 + 6(5)

What is the solution to (x – 5)(2x + 1)(x – 7) > 0?

BRAINLIESTTT!!!!

Answers

The answers are x>5, x>-1/2, x>7

If any of the terms is 0 it makes the whole equation 0. Because we know anything multiplied by 0 is 0.

0 (B) (C) = 0
(A) 0 (C) = 0
(A) (B) (0) = 0

So we can just set up each of the terms in separate equals in regards to being greater than 0.

x - 5 > 0
5

2x + 1 > 0
-1/2

x - 7 > 0
7

Find an ordered pair (x, y) that is a solution to the equation.
2x+y=1

Answers

Answer: (0,1)

Explanation:
2(0)+1=1

freè pôints
for you you you etc.​

Answers

Answer:

askfjheifljblgjsljclakjksfjkljvkldskmjfmvalkgjbjdfkblrgjlskgskjd

Step-by-step explanation:

levjnlakqdhlwjfidfkjblksmnewkfdilbkmcjjeoibjkdl

The ratio of red poms to yellow poms on a float is 5 to 7. If there are 392 yellow poms, on the float, how many red poms are there?

A. 549
B. 390
C. 280
D. 56

Answers

Answer:

C. 280 Red Poems

Step-by-step explanation:

5 : 7= x : 392

5/7 = x/392

x = 5*392/7

x = 5 * 56

x = 280 red poems

Question 7. Every day, Omar put the extra change from his pockets into a glass jar. After 30 weeks, he
3
had saved up $16.00. Omar decided to use of the money from the jar to buy canned food for a
homeless shelter. How much money did Omar spend on canned food?

Answers

Answer:

$16

Step-by-step explanation:

He had $16 so he had spent all of it due to the question asked.

A coin is tossed 12 times. What is the probability of obtaining five heads and seven tails?

Answers

I believe the probability would be 0.19336

Answer:

99/512 = 0.193359375

Step-by-step explanation:

Each sequence of 5 H's and 7 T's has probability of occurring equal to      1/2^12 (1 divided by 2 to the twelfth power).

Since the number of 5 H, 7 T sequences is equal to C(12,5) =                           the number of combinations of 12 things taken 5 at a time =

12 * 11 * 10 * 9 * 5 / (5 * 4 * 3 * 2 * 1) =

792,

we have that the probability of obtaining 5 H's and 7 T's =

the sum of the probabilities of all of the sequences =

1/2^12 + 1/2^12 + 1/2^12 + . . . + 1/2^12, 792 times =

792(1/2^12) =

99 / 2^9 =

99 /512 =

0.193359375

-0.8654 divided by (-0.24)

Answers

Answer:

3.60583333

Step-by-step explanation:

When we divide -0.8654 with -0.24 it quotient is

3.60583333

find the values of p and q such that 4x^2+12=4(x-p)^2+q
!!!!!

Answers

Answer:i dont know please answer this

Step-by-step explanation:

A​ five-speed bicycle has a chain linking the pedal sprocket to the gears on the rear wheel. The ratio of pedal turns to​ rear-wheel turns in first gear is 8 to 17. How many times in first gear does the rear wheel turn if the pedals turn 160 ​times?

Answers

9514 1404 393

Answer:

  340

Step-by-step explanation:

Multiply each number in the ratio by 20:

  pedal : wheel = 8 : 17 = 160 : 340

The rear wheel turns 340 times when the pedal turns 160 times.

__

Additional comment

As a reasonableness check, realize that 17 is just slightly more than 2 times 8. Then the number of rear wheel turns will be slightly more than 2 times 160.

Can someone explain to me on how you do this because the answer that I got was 15/17 but then I re read it again and it says to find the VALUE of the PRODUCT so I don’t really understand it. Please show work too

Answers

Answer:

[tex] \frac{3}{15 } [/tex]

Dorian buys 2 pounds of almonds for $21.98 and 3 pounds of dried apricots for $26.25. Which less expensive per pound? How much less expensive?​

Answers

Answer:

apricots is less expensive by $2.24

Step-by-step explanation:

21.98÷2=10.99

26.25÷3=8.75

10.99-8.75=2.24

What is the area of my lawn if it measures 6m x 5.2m?

Answers

Answer:

31.2 m²

Step-by-step explanation:

Area of Rectangle = (a × b) square units.

so

6 * 5.2 =

31.2 m²


Baking a loaf of banana bread takes 2 cups of flour and 1 cup of sugar. A loaf of
pumpkin bread takes 3 cups of flour and 2 cups of sugar. A baker has 30 cups of flour
and 16 cups of sugar to use. She makes $2.50 profit per loaf of banana bread and
$4.00 profit per loaf of pumpkin bread. How many loaves of each type of bread should
the baker make to maximize her profit?

Answers

Answer:

I assume it would be 15 loves of banana bread.

Step-by-step explanation:

if you do 8 loves of pumpkin bread, you get $24 profit.

If you do 15 loves of banana bread, you get $37.50 in profit.

To maximize the profit of $38 , baker should make 12 loaves of banana bread and 2 loaves of pumpkin bread.

What is linear inequality?

" Linear inequalities are defined as algebraic expression which are related with the sign of inequality."

According to the question,

'x' represents the number of loaves of banana bread

'y' represents the number of loaves of pumpkin bread

As per the given condition,

Total profit  on making bread [tex]'P' = 2.50x + 4.00y[/tex]     ____(1)

Linear inequalities are

[tex]2x + 3y\leq 30\\\\x+ 2y \leq 16[/tex]

By solving linear inequalities we get,  

[tex]x= 12\\ \\y =2[/tex]

As shown in the diagram drawn , point of intersection  is (12,2) for the given inequality.

Substitute the value of 'x' and 'y' in (1) to get the maximize profit ,

Maximize profit ' P' [tex]= 2.50(12) + 4 (2)[/tex]

                          [tex]= 30 + 8\\= \$38[/tex]

Hence, to maximize the profit of $38 , baker should make 12 loaves of banana bread and 2 loaves of pumpkin bread.

Learn more about profit here

https://brainly.com/question/11897796

#SPJ2

A cheetah went 108 miles moving 27 miles per hour. How many hours did the journey take? Show your answer as a decimal. Round to the nearest hundredth

Answers

Answer:

4

Step-by-step explanation:

108/27 = 4

Time = distance/speed
108/27= 4

Hey can anyone help with this question please and thank you

Answers

Hope this can help you

Multiply. [−8⋅4/11]⋅[(−0.1)⋅22] What is the product? Enter your answer in the box.

Answers

Answer:

6.4

Step-by-step explanation:

[ -8 * 4 / 11] * [(-0.1) * 22] = (-32/11) * (-22/10) = 32*2/10 = 64/10 = 6.4

Answer:

it's was helpful to you...

1. A line goes through the points (4, 5) and (2, -6). Write the equation of the line in point-slope form. Show your work for full credit. (Show how you went from those two points to having the equation in point-slope form?) Circle your answer (4 points)

Answers

1. Find Slope
m = y2-y1/x2-x1
m = -6 - 5/2-4
m = -11/-2
m = 11/2

2. Write equation with know information
y = mx + b
y = 11/2x + b


3. Choose any of the two points (doesn’t matter which in you choose) and replace the x and y value into the equation
y = 11/2x + b (4,5)
5 = 11/2(4) + b
5 = 22 + b

Use algebra and solve for b
5 - 22 = b
b = -17

State all the information you know
m = 11/2 b = -17

Write the equation
y = 11/2x - 17

Which number line shows the solution to −4 − (−1)?


A number line is shown from negative 5 to 0 to positive 5. There are increments of 1 on either side of the number line. All the numbers are labeled on either side of the number line. An arrow pointing from 0 to 4 is shown. Above this, another arrow pointing from 4 to 5 is shown. A vertical bar is shown at the tip of the arrowhead of the top arrow.


A number line is shown from negative 5 to 0 to positive 5. There are increments of 1 on either side of the number line. All the numbers are labeled on either side of the number line. An arrow pointing from 0 to 4 is shown. Above this, another arrow pointing from 4 to 3 is shown. A vertical bar is shown at the tip of the arrowhead of the top arrow.


A number line is shown from negative 5 to 0 to positive 5. There are increments of 1 on either side of the number line. All the numbers are labeled on either side of the number line. An arrow pointing from

Answers

Answer:

B a number line is shown from negative 5 to 0 to positive 5.

If a cat went 600 miles how many feet did it take to get home?

Answers

Answer:

3168000 feet

Step-by-step explanation:

1 mile = 5280 ft

Find the sum of 31 + 32 +33 + ... + 230.

Answers

Answer:

134

Step-by-step explanation:

At the calendar shop, wall calendars cost $7 and desk calendars cost $8. Dylan spent $183 to
buy 24 calendars. How many of each type of calendar did Dylan buy?

Answers

Answer:

12 wall and 12 desk calendars

Step-by-step explanation:

24 divide by 2

help please, what is the ANSWER?

Answers

Answer:

y

0

-1/2

-1

-3/2

-2

Step-by-step explanation:

y=(-1/2) *(-2)- 1 =(-) (-) (1*2)/2-1= 2/2-1 = 1-1 =0

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