All categories

2 years ago

Please send help

Mathematics

1 answer:

kap26 [50]2 years ago

3 0

Answer:

13. 36 hours

14. see below for explanation

Step-by-step explanation:

13. For "w" hours of work, David's assets (in dollars) relative to Fatima's starting value will be ...

54.00 + 8.25w

Meanwhile, Fatima's assets relative to her starting value will be ...

9.75w

These values will be equal when ...

54.00 +8.25w = 9.75w

54.00 = 1.50w

54.00/1.50 = w = 36

After David and Fatima both work 36 hours, they will both have the same amount of money.

14. You check a solution to an equation by substituting the solution value(s) for the variable(s) in the equation and doing the arithmetic. If the equation reduces to a true statement, the solution is correct.

Example:

f(x) = 2x +5

g(x) = 3x

A table of ordered pairs for f(x) might be ...

(x, f(x)) = {(4, 13), (5, 15), (6, 17)}

and a similar table of ordered pairs for g(x) might be ...

(x, g(x)) = {(4, 12), (5, 15), (6, 18)}

By comparing y-values we can see that f(x) = g(x) = 15 when x = 5. This is our solution found by using a table.

To check the answer, we can put x=5 into the equation ...

2x +5 = 3x

2·5 +5 = 3·5 . . . . substitute the value of x for the variable

10 +5 = 15 . . . . . . simplify a bit

15 = 15 . . . . . . a true statement; the answer checks OK

You might be interested in

After four years of college, Erica has to start paying off all her student loans. Her first payment is due at the end of this mo

tatiyna

Answer:

Therefore, the approximate monthly payment is $548.85

Step-by-step explanation:

The amount of student loans Erica currently has = $34,006.00

The duration over which Erica is to pay back the loan = 7 years

The annual interest rate for the loan = 9.1%

Therefore, we have the geometric sequence formula is given as follows;

$A_n = P( 1 + r)^n - M \times \left [ \dfrac{(1 + r)^n-1}{r} \right ]$

Where;

M = The monthly payment

P = The initial loan balance = $34,006.00

r = The annual interest rate = 9.1%

n = The number of monthly payment = 7 × 12 = 84

Aₙ = The amount remaining= 0 at the end of the given time for payment

Substituting the values into the above formula, , we get;

$0 = 34006 \times \left ( 1 + \dfrac{0.091}{12} \right )^{84} - M \times \left [ \dfrac{\left (1 + \dfrac{0.091}{12} \right )^{84}-1}{\dfrac{0.091}{12} } \right ]$

$M = \dfrac{34006 \times \left ( 1 + \dfrac{0.091}{12} \right )^{84} }{\left [ \dfrac{\left (1 + \dfrac{0.091}{12} \right )^{84}-1}{\dfrac{0.091}{12} } \right ]} \approx 548.85$

Therefore, the approximate monthly payment = $548.85

6 0

2 years ago

an employer will do a 50% match on your investment to a 401k retirement plan. If you decide to contribute a monthly amount of $2

faltersainse [42]

Answer:

The amount that should be in the account after 15 years is $95,321.85

Step-by-step explanation:

According to the given data, we have the following:

monthly amount of $220=R

interest rate is fixed at 2.05%. We require the monthly ineterest rate, hence monthly interest rate= 2.05%/12=0.1708%=0.0017

t=15years×12=180 months

In order to calculate how much should be in the account after 15 years, we would have to use the following formula:

Ap=R(1-(1+i)∧-t)

Ap=220(1-(1+0.0017)∧-180)

0.0017

Ap=162,04

0.0017

Ap=$95,321.85

The amount that should be in the account after 15 years is $95,321.85

6 0

2 years ago

What is the period of the function f(x) shown in the graph?

MariettaO [177]

Answer:

(0,-2)

Step-by-step explanation:

4 0

1 year ago

Read 2 more answers

What is it called when you put two of the same variables together

DaniilM [7]

Answer:

In algebra, like terms are terms that have the same variables and powers.

3 0

2 years ago

Read 2 more answers

Use the formula t=ln2/k that gives the time for a population, with a growth rate k, to double, to answer the following question.

Arturiano [62]

Answer:

k = 0.005
doubling time ≈ 139 years

Step-by-step explanation:

Matching the form

A = A0·e^(kt)

to the given equation

A = 8·e^(.005t)

we can identify the value of k as being 0.005.

k = 0.005

___

The doubling time is given by the formula ...

t = ln(2)/k = ln(2)/0.005 ≈ 138.63

It will take about 139 years for the population to double.

3 0

2 years ago