Question 4
4 pts
Tom and Larry put money into their bank account each week. The table below shows Tom's
saving habits.
Weeks
1
2.
3
4
5
Account Balance ($)
18 30 42 54 66
Larry's saving habits can be represented by the equation y = 15x + 5, where y is money in
his account and x is the number of weeks that he has been saving.
a. How much money was initially in Tom's account? [Select]
b. How much money was initially in Larry's account (Select]
c. Who is saving money at a faster rate? (Select ]
d. When will Tom have more money in his account than Larry?
[ Select ]

Question 44 PtsTom And Larry Put Money Into Their Bank Account Each Week. The Table Below Shows Tom'ssaving

Answers

Answer 1

Answer:

(a). 6 ; (b). $5 ;  (c). Larry'c ; (d) at time they open their accounts.

Step-by-step explanation:

Larry's saving habits is [tex]y_{L}[/tex] = 15x + 5

Tom's saving habits:

m = (30 - 18) / (2 - 1) = 12 and b = 18 - 12 = 6

[tex]y_{T}[/tex] = 12x + 6

(a). $6

(b). $5

(c). Larry'c ( [tex]m_{L}[/tex] = $15 , [tex]m_{T}[/tex] = $12 )

(d). When [tex]y_{T}[/tex] > [tex]y_{L}[/tex] ?

15x + 5 < 12x + 6

3x < 1

x < [tex]\frac{1}{3}[/tex] of [tex]1^{st}[/tex] week ( x ∈ [0, 1) )⇒ Tom will have more money in his account than Larry at time they open their accounts.


Related Questions

h(x) = 2.63x - 15.78
What is the value of x if h(x) = 13.15?

Answers

Answer:

5

Step-by-step explanation:

2.63x5 = 15.78

true Or false

1.inequalities are similar to equations

2.you never isolate the variable in an inequality '

Answers

True and false you can do that on #2

What is the equation of the line through the origin and (-4,-9)?
OA. y= 9x
O B. y=
OC. y= 4x
OD.y

Answers

Answer:D

Step-by-step explanation:

The scale from an actual triangle to the drawing at the right is 30 to 1 the scale from the same triangle to Georges drawing of the triangle is 10 to 1 is this drawing or Georges drawing larger explain your answer

Answers

Answer:

Georges drawing is larger.

Step-by-step explanation:

A scale is a representative fraction that can be used to either increase or decrease the dimensions of a given object. It can either be; reduced or enlarged.

From the given question, both scales are enlarged scale. But,

the scale from the actual triangle to the drawing = 30:1

This implies that every measure of 30 on the drawing is 1 of the actual. So that a measure of 120 on the drawing equals 4 on the actual.

Georges' scale = 10:1

This implies that every 10 measure equal 1 of the actual. So that a measure of 120 on the drawing is 12 on the actual.

Therefore, Georges drawing is larger.

Expand the expression 2(y + 5x)

Answers

Answer:

2y+10x

Step-by-step explanation:

distribute the 2 into the rest of the equation

i have the coronavirus

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That’s swag

I have Squidarooni disease

Answer:

Ok-

Step-by-step explanation:

420-69+80085+5318008
Will give brainliest

Answers

Answer:

The answer is 5398444

Answer:

420−69+80085+5318008

=5398444

Step-by-step explanation:

Consider the expression 103 x 0.006. a) What is the exponent in the power of 10? [ Select ] b) How many factors of 10 are in 103? [ Select ] c) How do your answers to the last two questions relate to one another? [ Select ] d) What is the value of 103 x 0.006? [ Select ]

Answers

Solution :

Given that the expression is :

[tex]$10^3 \times 0.006$[/tex]

This can be written as,

[tex]$\Rightarrow 10^3 \times \frac{6}{1000}$[/tex]

[tex]$\Rightarrow 10^3 \times \frac{6}{10^3}$[/tex]

[tex]$\Rightarrow 10^0 \times 6$[/tex]

a). Therefore the exponent in the power of 10

     = 0

b). Factors of 10 in [tex]$10^3$[/tex]

    = 10 x 10 x 10

    = 1000

    = [tex]$10^3$[/tex]

   So there are 3 factors of 10 in [tex]$10^3$[/tex]

c). If we compare the exponent of power of 10 in 1000 and factors of 10 in 1000, then both of them will be same.

  But in part a), we are finding exponent in the power of 10 in the expression  which is equal to 0. And in part b), we are finding the factor of 10 in 1000, which is equal to 3, as 10 x 10 x 10 = 1000.

d). The value of the expression [tex]$10^3 \times 0.006$[/tex] is 6.

A 2-digit number is written on a paper. What is the probability that it starts with 2?

Answers

Answer:

1 out of 9

Step-by-step explanation:

6. Find the first, fourth, and tenth terms of the arithmetic sequence described by the given rule.
A(n)
12 + (n-1)(3)
3,24, 27
0,9,27
12,24, 42
12, 21, 39

Answers

Answer:

[tex] A_1 = 12[/tex]

[tex] A_4=21[/tex]

[tex] A_{10}= 39[/tex]

Step-by-step explanation:

[tex]A_n = 12+(n-1)(3) \\ \\ plug \: n = 1 \\ A_1 = 12+(1-1)(3) \\ = 12 + 0(3) \\ = 12 + 0 \\ \red{ A_1= 12} \\ \\ plug \: n = 4\\ A_4 = 12+(4-1)(3) \\ = 12 + 3(3) \\ = 12 + 9 \\ \purple{ A_4= 21} \\ \\ plug \: n = 10\\ A_{10} = 12+(10-1)(3) \\ = 12 + 9(3) \\ = 12 + 27 \\ \orange{ A_{10}= 39} \\ \\ [/tex]

The scatter plot shows the amount of sleep Aria got the night before a test and her test scores. Which is the best prediction for Aria’s grade when she sleeps for 10 hours?

A 75
b 83
C 92
D 99

Answers

Answer: y= 3x+62

Step-by-step explanation: m= y₂-y₁/x₂-x₁

m= 80-62/6-0

m= 18/6

m=3

y-y₁=m(x-x₁)

y-62= 3(x-0)

y-62= 3x-0

y= 3x+62

pls help quick

Which statement describes the blood type of a person with the alleles IAi?

It is type AB because I and i are codominant.
It is type AB because A and i are codominant.
It is type A because i is dominant and A is recessive.
It is type A because A is dominant and i is recessive.

Answers

Answer:

It is type A because A is dominant and i is recessive.

Step-by-step explanation:

Answer:

I agree with  5421103, the answer is C.

Step-by-step explanation:

Q. At the gas station Jessie purchases a candy bar for $1.25, a drink for $2.58 and a bag of
Takis for $3.24. What will Jessie spend on a sales tax if it is 3.2%?

Answers

The answer is $7.3 :)

If 7 pounds cost $5.46, find the cost of 3 pounds. ​

Answers

Answer:

$2.19

Step-by-step explanation:

7 divided by 3 is 2.5

5.46 divided by 2.5 is 2.184

round it and get 2.19

If I had an iPhone 6 that was 12 by 9 inches and an iPhone X that was 17 by 8 inches, how many feet would they be? If you want a challenge divided by 2 at the end.

Answers

Answer:

$13.41

Step-by-step explanation:

maybe, I'm not that sure :/

btw you can, can you please mark me brainliest :)

plzz help me it is hard plz

Answers

Answer:

LETS GO WITH B

Step-by-step explanation:

DOG has coordinates D(3,2), O( 2,-4), G(-1,-1) .A translation maps point D to D (2,4). Find the coordinates of O and G under the translation.

Answers

Answer:

If you're on edge and it's the multiple choice one it would be a

Will give crown help

Answers

Answer:

5,1,-3,-7

Step-by-step explanation:

y=-4x+1

if x is -1,

-4(-1)+1 or 4+1 or 5.

Following,

5,1,-3,-7

Hope this helps plz hit the crown :D

Tell whether x and y are proportional.

1, 2, 3
7, 8, 9

Answers

Uh can u give a image

Rochelle wants to use all of her raisins to bake batches of granola. She has 3/4 cup of raisins.
Each batch requires 1/8 cup of raisins. How many batches can she make?

Answers

Answer:

She has 3/4 and each batch requires 1/8. 3/4 can be turned into 6/8 she can make 6 batches.

Choose the graph that matches the system of inequalities.
–x + y ≤ –1
x + 2y ≥ 4

Answers

Answer:

The correct

answer is B

The correct option is B)

What is a feasible region?

A feasible region satisfies all the inequalities of a linear programming problem. It is based on the technique of optimization.

Given here the inequalities as –x + y ≤ –1

x + 2y ≥ 4

The graph plotting the two equations is plotted in the attached file

Hence from the given graph option B is the correct option.

Learn more about feasible regions here:

https://brainly.com/question/29314086

#SPJ2

will give crown
2x2=x/273x8=

Answers

Answer:

-193 is correct.

quien me ayuda por favor no se como hacerlos

Answers

Que? Which one are u trying to figure out
Sorry I don’t speak Spanish

A number consists of two digit whose sum is 9. If 9 is subtracted from the number the digits
interchange their places. Find the number.

Answers

Answer:

[tex]54[/tex]

Step-by-step explanation:

[tex]Let\ the\ first\ digit\ of\ the\ two\ digit\ number\ be\ a\\Let\ the\ second\ digit\ of\ the\ two\ digit\ number\ be\ b\\Hence,\\We\ are\ given\ that,\\a+b=9\\Hence,\\b=(9-a)\\As\ we\ know\ that,\\The\ original\ number\ containing\ 2-digits\ can\ be\ written\ as: 10a+b\\Hence,\\The\ original\ number=10a+(9-a)\\The\ original\ number=9a+9\\\\[/tex]

[tex]Now,\\Lets\ consider\ the\ reversed\ number\ with\ the\ reversed\ digits\ of\ the\\ original\ number.\\Hence,\\Reversed\ number\ containing\ reversed\ digits\ can\ be\ written\ as:10b+a\\Hence,\\Reversed\ number=10b+a\\Reversed\ number=10(9-a)+a=90-10a+a=90-9a\\[/tex]

[tex]Now,\\We\ are\ given\ that,\\Original\ Number-9=Reversed\ number\\Or,\\Original\ Number-Reversed\ number=9\\Hence,\\9a+9-(90-9a)=9\\9a+9-90+9a=9\\18a=90\\a=\frac{90}{18}=5[/tex]

[tex]As\ a=5, b=(9-5)=4\\Hence,\\The\ original\ number=10a+b=10*5+4=50+4=54[/tex]

Owen simplified the expression r-8 s-5.

Answers

There are no like terms.

Answer:

=r−8s−5

A dog lost 2 pounds three weeks in a row. What integer expresses the total change in the dogs weight

Answers

Answer:

-6 is the integer

Step-by-step explanation:

help me please please please please

Answers

Answer:

Blank #1.  4

Blank #2.  25

Blank #3.  5

Blank #4.  32

Step-by-step explanation:

Blank #1.  If a farm lets you pick 3 pints of raspberries for $12.00, then the cost per pint would be $4.00.

Blank #2.  If one pint costs $4.00, then you would get a quarter of a dollar per pint, or 0.25 (this is because four quarters are in a dollar, one quarter=25 cents).

Blank #3.  If you continue at this rate, for $20.00, you would be able to get 5 pints of raspberries because if you pick 3 pints of raspberries for $12.00, and one pint costs $4.00 (multiply 3 and 4 to get the total cost of $12.00), and if you pick 5 pints, that cost $4.00 each, for $20.00 (multiply 4 and 5 to get $20.00). So, if you had $20.00, you would be able to pick 5 pints of raspberries for a total of $20.00.

Blank #4.  For this question, all you have to do is multiply 4 and 8 ($4.00 and 8 pints) to get a result of $32.00 as your total cost. So, if you picked 8 pints of raspberries for $4.00 per pint, then you will have a total cost of $32.00.

Hope that helps and please give me brainliest!!

A group of 52 people attend a ball game. There were three times as many men as women in the group. Write and solve a system of equations for m, the number of men, and w the number of women in the group.

Answers

Answer:

lets call the children, c, and call adult, a,

c+a= 52       eq 1: a=52-c

c=3a            eq 2

take a's value from eq 1 and plug it into eq 2

c=3(52-c)

c=156-3c

4c=156

c=39 the number of children that attended the ball game.

Step-by-step explanation:

Answer:

ok lol i think it is 3m x w=52 for the equation

Divide each term by

3

m

x

and simplify.

w

=

52

3

m

x

evaluate : 7^4×7^5×7^-9
pls solve to get brainiest ​

Answers

Answer:

1

Step-by-step explanation:

Using the rule of exponents

[tex]a^{m}[/tex] × [tex]a^{n}[/tex] = [tex]a^{(m+n)}[/tex] and [tex]a^{0}[/tex] = 1

Given

[tex]7^{4}[/tex] × [tex]7^{5}[/tex] × [tex]7^{-9}[/tex]

= [tex]7^{(4+5-9)}[/tex]

= [tex]7^{0}[/tex]

= 1

The total charge for a taxi ride includes an initial fee of $2.75 plus $2.25 for every 1/2
mile traveled. The ride cost him $56.75. How many miles did he travel in the taxi?

Answers

Answer:

12 miles

Step-by-step explanation

56.75 - 2.75 = 54

1/2(54/2.25)

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