Mathematics, 04.01.2020 02:31 russelllang606

You begin with $90 in your savings account and your friend begins with $35 in her savings account. you deposite $10 in savings each week, and your friend deposites $15 in savings each week

Answers: 3

Show answers

Answers

Answer from: rudolph34

Part a) The graph in the attached figure (see the explanation)

Part b) The friend is not correct

Step-by-step explanation:

The questions are

a. Write and graph a system of linear equations that represent the amounts in each of your savings accounts

b. Your friend says that in 10 weeks you will both have the same amount of money in your savings accounts. Is your friend correct? Use the graph from part (a) to explain your answer.

Part a)

Let

x ----> the number of weeks

y ---> the amount in the saving account

we know that

The linear equation in slope intercept form is equal to

y=mx+b

where

m is the slope or unit rate of the linear equation

b is the y-intercept or initial value of the linear equation

In this problem we have

Your saving accounts

The slope is equal to $m=\$10\ each\ week$

The y-intercept is equal to $b=\$90$

substitute

y=10x+90 ----> equation A

Your friend saving accounts

The slope is equal to $m=\$15\ each\ week$

The y-intercept is equal to $b=\$35$

substitute

y=15x+35 ----> equation B

using a graphing tool

the graph in the attached figure

Part b) Your friend says that in 10 weeks you will both have the same amount of money in your savings accounts. Is your friend correct? Use the graph from part (a) to explain your answer

we know that

When solving a system of equations by graphing, the solution of the system is the intersection point both graphs

In this problem, the intersection point is (11,200)

That means ----> In 11 weeks, both you and your friend have the same amount of money saved up, $200

Therefore

The friend is not correct

You begin with $90 in your savings account and your friend begins with $35 in her savings account. y

Answer from: Quest

answer: we have from thales theorem that because the 2 triangles are similar, jm/jk=jn/jl. we have that jn=x, jl=x+24 and that jm=7 and jk=28. substituting, we get:

x/(x+24)=7/28.

hence, x/(x+24)=1/4. this leads to 4x=x+24, 3x=24, x=8. we have solved for x=jn and this is equal to 8.

step-by-step explanation:

For what value of jn is mn parallel to kl

Answer from: Quest

−

step-by-step explanation:

Another question on Mathematics

Mathematics, 21.06.2019 19:50

Prove (a) cosh2(x) − sinh2(x) = 1 and (b) 1 − tanh 2(x) = sech 2(x). solution (a) cosh2(x) − sinh2(x) = ex + e−x 2 2 − 2 = e2x + 2 + e−2x 4 − = 4 = . (b) we start with the identity proved in part (a): cosh2(x) − sinh2(x) = 1. if we divide both sides by cosh2(x), we get 1 − sinh2(x) cosh2(x) = 1 or 1 − tanh 2(x) = .

Answers: 3

Answer

Mathematics, 21.06.2019 20:00

Write the point-slope form of the line passing through (2, -12) and parallel to y=3x.

Answers: 3

Answer

Mathematics, 22.06.2019 00:00

Urgent! 20 points! here is a you are the new manager at trusty goods wholesale produce. you need to figure out how to adjust the amount of produce in your notes after the events of the day: you got 5 more crates of bananas someone returned 2 crates of apples a worker dropped a crate of grapes (oh no! , you had to throw them out) you sold a crate of bananas you sold 5 crates of apples can you write an expression to describe your day using: "a" for crates of apples "b" for crates of bananas and "g" for crates of grapes? make sure the expression is in simplest form question 2 (3 points) explain your steps using sentences.

Answers: 1

Answer

Mathematics, 22.06.2019 00:30

Which equation could represent the relationship shown in the scatter plot? y=−3x−2 y=−3/4x+10 y=−2/3x+1 y=9x−12 scatter plot with x axis labeled variable x and y axis labeled variable y. points go from upper left to lower right.

Answers: 1

Answer

You know the right answer?

You begin with $90 in your savings account and your friend begins with $35 in her savings account. y...

Questions