You have ​$70 in your bank account. Each week you plan to deposit ​$7 from your allowance and ​$10 from your paycheck. The equation b = 70 + ​(10 + 7​)w gives the amount b in your account after w weeks. How many weeks from now will you have ​$185 in your bank​ account?

Answers

Answer 1

Answer:

After 7 weeks from now you will have ​$185 in your bank​ account.

Step-by-step explanation:

We are given that you have ​$70 in your bank account. Each week you plan to deposit ​$7 from your allowance and ​$10 from your paycheck. The equation b = 70 + ​(10 + 7​)w gives the amount b in your account after w weeks.

The equation is given by;

b = 70 + (10 + 7)w

Now, in the question, it is given that you have ​$185 in your bank​ account, that means;

$185 = $70 + $17w

Finding the value of w(weeks);

$17w = $185 - $70

$17w = $115

w = [tex]\frac{\$115}{\$17}[/tex]

w = 6.76 weeks or 7 weeks (approx).

Hence, after 7 weeks from now you will have ​$185 in your bank​ account.


Related Questions

Malik’s solution to the equation , when , is shown below.


What error did Malik make first when solving the equation ?

Malik did not multiply correctly.
Malik added 240 to each side of the equation.
Malik did not multiply correctly.
Malik substituted 60 for y instead of x.

Answers

Answer:

Malik substituted 60 for y instead of x.

Step-by-step explanation:

Answer:

d

Step-by-step explanation:

uwu

Complete the statements about finding the equation of the line that is parallel to line n and passes through point (2, –3). The slope of the graphed line is . The slope of the parallel line is . An equation that can be used to find the y-intercept of the parallel line is . The y-intercept of the parallel line is . The equation of the parallel line is .

This is for edge 2020 and It's urgent! Pleeeeeeeaese!

Answers

Answer: 1. 5/2

Step-by-step explanation:

Answer: 1. 5/2

2. 5/2

3. -3= (5/2)(2) + b

4. -8

5. y= (5/2)x - 8

Step-by-step explanation:

The slope of the graphed line is 5/2

The slope of the parallel line is 5/2

An equation that can be used to find the y-intercept of the parallel line is -3=(5/2)(2) + b

The y-intercept of the parallel line is -8

The equation of the parallel line is y= (5/2)x - 8

I’ll mark brainliest!
Help please :)

Answers

Answer:

i think it is b ... not sure

Step-by-step explanation:

2) Find x if m2) = 6x + 1 and
mZSOR = 11x + 6.
s
P

Answers

X = -1 11x+6=6x+1 which leads to 5x=-5

–4(2x−2)= –(4x−4) what is x?

Answers

Answer:

x = 1

Step-by-step explanation:

–4(2x−2)= –(4x−4)

-8x-(-8) = -4x-(-4)

-8x+8 = -4x+4

-8x+8-8 = -4x+4-8

-8x = -4x+(-4)

-8x+4x = -4x+4x+(-4)

-4x = -4

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

x = 1

A linear equation has ONE solution when the variable equals zero. Explain if this is a true or false statement and why?
GET BRAINLYY EXPLAIN

Answers

Answer: True.

Step-by-step explanation:

The statement is:

"A linear equation has ONE solution when the variable equals zero."

First, a generic linear equation can be written as:

y = a*x + b

Where a and b are known values.

If the variable equals zero, we have:

y = a*0 + b = b

y = b.

Then it has only one solution if x = 0.

So the statement is true, but it is also true for any value in the variable.

So if we rewrite it as (for example):

"A linear equation has one solution when the variable equals 4"

y = a*4 + b.

Because a and b are known, this equation also does have only one solution.

Answer:true

Step-by-step explanation:

How do I solve a problem like this?
I solved it like: 3x-10+2x+20=45 and got x=9 but I was wrong. Can you help me understand what I did wrong? Thank you!

Answers

X=9

Explanation: 3x-10+2x+20=45 combine like terms and then you get 5x+10=45
Then subtract 10 from 45 and then divide you have 5x=35 and then divide 35 by 5 and get 7

In the following figure (AB) ∥(CD). Suppose that m∠1=32°. What is m∠6? Explain your reasoning

Answers

Answer:

148

Step-by-step explanation:

angle 1=3

angle3=7=32 degrees

angle6+angle7= 180

angle 6=180-32

angle 6= 148 degrees

The measure of m<6 is 148.

What are properties of parallel lines?

Properties of Parallel Lines

Parallel lines are the set of lines that lie on the same plane but never intersect each other, even if you extend them infinitely.

The pairs of corresponding angles are equal.The pairs of vertically opposite angles are equal.The pairs of alternate interior angles are equal.The pairs of alternate exterior angles are equal.The pair of interior angles on the same side of the transversal is supplementary.

Given:

m∠1=32°

Now, using vertical opposite angle

m<1 = m<3 = 32

Now, using same- side interior transversal

m<3 + m<6 = 180

32 + m<6 = 180

m<6 = 180-32

m<6 = 148

Hence, the measure of angle 6 is 148.

Learn more about parallel lines here:

https://brainly.com/question/16701300

#SPJ2

An arts academy requires there to be 6 teachers for every 144 students and 3 tutors for every 30 students. How many students does the academy have per teacher? Per tutor? How many tutors does the academy need if it has 110 students​?

Answers

Answer:

the teachers would have 24 students per teacher. 10 students per tutor. There would need to be 11 tutors

Step-by-step explanation:

each tutor would have 10 students then if you do 11 times 10 you get 110

Rewrite the following improper fraction as a mixed number : 19/5

Answers

Answer:

3 4/5

Step-by-step explanation:

Answer:

3 4/5

Step-by-step explanation:

19/5

Take the numerator and divide by the denominator

19/5 = 3 with 4 left over

Take the remainder and put over the denominator

3 4/5

F= z-g/n
solve for z

Answers

Z= F+ (g/n) (you’re welcome)

А ___is just another way of saying what we want to count
by on our graph.

Answers

Answer:

An axis

Step-by-step explanation:

They give information about the states

Item 7 A parabolic spotlight is being designed with the lightbulb at the focus point. If the lightbulb is placed 2.5 inches above the vertex and the height of the spotlight is 10 inches, what is the width of the spotlight? Item 7 A parabolic spotlight is being designed with the lightbulb at the focus point. If the lightbulb is placed 2.5 inches above the vertex and the height of the spotlight is 10 inches, what is the width of the spotlight?

Answers

Answer:

The width of the spotlight is  20 inches

Step-by-step explanation:

The location of the bulb = 2.5 inches above the vertex

The height of the spotlight = 10 inches

The width of the spotlight =

The

The height of

The equation of a parabola is given as follows;

(x - h)² = 4p(y - k)

Focus, (h, k + p) = (0, 2.5)

y = k - p

k  + p = 2.5

Vertex = (h, k) = (0, 0), therefore, k = 0

p = 2.5

We have;

(x - 0)² = 4p(y - 0)

x² = 4×2.5 × y = 10·y

Therefore, given that y = 10, we have;

x² = 10 × 10 = 100

x = √100 = ±10

The coordinates of the two end points are;

(-10, 10), and (10, 10)

Therefore, the width of the spotlight = the distance between the end points  

Given that the y-values are the same, we have

Distance = 10 - (-10) = 10 + 10 = 20 inches

∴ The width of the spotlight =  20 inches.

I NEED HELP ASAP!!!!

Answers

Answer:

bring the 2 1/2 infront of the positive 2 but in between the 2 and three. bring the 3/8 behind the negitive one but on the third smallest line. bring the -7/8 behind the positive 1 but on the 7th smallest line. bring the -2 1/2 between the negitive three and two.

Step-by-step explanation:

-3/8 goes five tick marks after -1.
7/8 goes a tick mark before 1.
2/12 goes four tick marks after 2.
-2 1/2 goes four tick marks after -3 (where you had put 2 1/2.)
I hope this helps. ♡

some one knows how doing this​

Answers

The two side numbers multiply to the top number and add to the bottom number, for your problem the left side is 3 and the bottom 1

A bowl weighs 11/40
lb. Express this as a decimal.

Answers

Answer:

Decimal: 0.275           Percentage: 27.5

Step-by-step explanation:

John increased the amount of water he drinks everyday from 20 fl oz to 48 fl oz. By what percent did John increased the water he drinks?

Answers

Answer:

140%

Step-by-step explanation:

Percentage change in any variable is given by

percentage change = (new value - old value)/ old value * 100

_________________________________________________

Given

Earlier amount of drinking water = 20 fl oz

New amount of drinking water = 48 fl oz

Percentage increase in drinking of water = (48-20)/20 * 100 = 28/20 * 100

Percentage increase in drinking of water =  28*5 = 140 %

Thus, there is 140% percentage increase in water by John.

How long will it take Pablo to bike 64 miles if he is biking at a speed of 8 mph?

Answers

Answer:

It will take 8 hours to go 64 miles.

Step-by-step explanation:

x / y = z

x = 64 (Miles you need to go.)

y = 8 ( Miles per hour.)

z = How long it will take.

64/8 = z

64/8 = 8

It will take 8 hours to go 64 miles.

help me please I will give the first person five out of five stars

Answers

Answer:

3,4

Step-by-step explanation:

Just picture it in your head where the point is on the graph and move it over 4 points.

What is 9/2÷3/4?

It has to be 20 things long so....siahdifhifhidhfi
Sorry about that tho...

Answers

Answer:

[See Below]

Step-by-step explanation:

[tex]Hey~There![/tex]

____________________

Turn each fraction into a decimal:

[tex]\frac{9}{2} =4.5[/tex][tex]\frac{3}{4} =0.75[/tex]

➜ Now divide:

[tex]4.5[/tex] ÷ [tex]0.75=6[/tex]

____________________

So based on the work above we can conclude that your answer is:

Fraction Form: [tex]\frac{\bold6}{\bold1}[/tex]Exact Form: [tex]\bold6[/tex]

____________________

[tex]Hope~this~helps~Mate!\\-Your~Friendly~Answerer,~Shane[/tex]

PLEASE ANSWER THIS ASAPPPPPP

Answers

Answer:

That is very difficult

Step-by-step explanation:

I hope you got help

The Pythagorean theorem states that the sum of the squares of the legs of a right triangle is equal to the square of the

hypotenuse by the formula a2 + b2 = c2.

If a is a rational number and b is a rational number, why could c be an irrational number?

O The square of rational numbers is irrational, and sum of two irrational numbers is irrational.

O The product of two rational numbers is rational, and the sum of two rational numbers is irrational.

O The left side of the equation will result in a rational number, which is a perfect square.

O The left side of the equation will result in a rational number, which could be a non-perfect square.

Answers

Answer:

The product of two rational numbers is rational, and the sum of two rational numbers is irrational.

Step-by-step explanation:

Let be [tex]a[/tex] and [tex]b[/tex] rational numbers whose forms are, respectively:

[tex]a = \frac{m}{n}[/tex] and [tex]b = \frac{q}{r}[/tex], [tex]m[/tex], [tex]n[/tex], [tex]q[/tex], [tex]r[/tex] [tex]\in \mathbb{Z}[/tex]

We proceed to demonstrate if the Pythagorean sum of two rational numbers leads to a rational number.

1) [tex]a = \frac{m}{n}[/tex],  [tex]b = \frac{q}{r}[/tex], [tex]m[/tex], [tex]n[/tex], [tex]q[/tex], [tex]r[/tex] [tex]\in \mathbb{Z}[/tex] Given.

2) [tex]c^{2} = a^{2}+b^{2}[/tex] Given.

3) [tex]c^{2} = \left(\frac{m}{n} \right)^{2}+\left(\frac{q}{r} \right)^{2}[/tex] 1) in 2)

4) [tex]c^{2} = (m\cdot n^{-1})^{2}+(q\cdot r^{-1})^{2}[/tex] Definition of division.

5) [tex]c^{2} = [m^{2}\cdot (n^{-1})^{2}]+[q^{2}\cdot (r^{-1})^{2}][/tex]    [tex](a\cdot b)^{c} = a^{c}\cdot b^{c}[/tex]

6) [tex]c^{2} = m^{2}\cdot n^{-2}+q^{2}\cdot r^{-2}[/tex]   [tex](a^{b})^{c} = a^{b\cdot c}[/tex]

7) [tex]c^{2} = [m^{2}\cdot (n^{2})^{-1}]+[q^{2}\cdot (r^{2})^{-1}][/tex]  [tex](a^{b})^{c} = a^{b\cdot c}[/tex]

8) [tex]c^{2} = \frac{m^{2}}{n^{2}}+\frac{q^{2}}{r^{2}}[/tex] Definition of division.

9) [tex]c^{2} = \frac{m^{2}\cdot r^{2}+q^{2}\cdot n^{2}}{n^{2}\cdot r^{2}}[/tex]  [tex]\frac{x}{y} +\frac{w}{z} = \frac{x\cdot z+w\cdot y}{y\cdot z}[/tex]

10) [tex]c^{2} = \frac{(m\cdot r)^{2}+(q\cdot n)^{2}}{(n\cdot r)^{n}}[/tex]    [tex](a\cdot b)^{c} = a^{c}\cdot b^{c}[/tex]/Result.

If [tex]c[/tex] is a rational number, then [tex](m\cdot r)^{2}+(q\cdot n)^{2} = a^{2}[/tex], so that [tex]a \in \mathbb{Z}[/tex]. Which means that [tex]c[/tex] will be rational number if and only if the square root of [tex](m\cdot r)^{2}+(q\cdot n)^{2}[/tex] is an entire number.

Which means that correct answer is B.

HELP- on a map of North Carolina, Raleigh and Asheville are about 8 inches apart. if the scale is 1 inches = 12 miles, how far apart are the cities? write a proportion and solve

Answers

Answer:

96

Step-by-step explanation:

12x8  

150+18x__<__420 check inequality Algebraically​

Answers

Answer:

3ws45es56ersderts

Step-by-step explanation:

help me Asap The length of the rectangle is 3 less than twice the width. If the area is 9
square ft, the length and width of the rectangle.​

Answers

Answer:

length-5

width-2

Step-by-step explanation:

[tex]6w - 6 = 9[/tex]

Answer:

its 3 by 3

Step-by-step explanation:

3x2=6

6-3=3


The graph of the line y = 4 is a

A) vertical line with a slope of zero.
B) horizontal line with a slope of zero.
C) vertical line with an undefined slope.
D) horizontal line with an undefined slope.
E) horizontal line with a slope of one.

Answers

I think the answer is D

HELPP PLEASEEE ??????

Answers

Answer:

NM

MQ

<PMQ

<QMP

M

Step-by-step explanation:

I am sorry there is really no way to explain this other than to look at the picture

A perfect score on a test with 25 questions is 100. Each question is worth the same number of points

Fred got a score of 92 on the test Enter a division sentence using negative numbers where the quotient
represents the number of questions Fred answered incorrectly on the test

Answers

Answer:

8

Step-by-step explanation:

its 8 because if you do the math correctly witch would be b×h×92-48÷7

Can I please get help with the answer

Answers

Answer:

27

Step-by-step explanation:

5e-8+2e-1= 180

7e-9= 180

7e=189

e= 27°

( x + 7 ) ( 5x + 4 ) expand and simplify

Answers

Answer:

6x+11

Step-by-step explanation:

( x + 7 ) ( 5x + 4 )
7x + 9x
16x
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