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3 years ago

Amber and her friend Nathan are

Mathematics

2 answers:

olchik [2.2K]3 years ago

6 0

Answer: {(12-4) + (15-8)}x = 65

Step-by-step explanation:

Because...

First, you need to know what Amber earns per week : which is,

12-4

Then, Nathan earns per week is :

15 -8

After, the in total that they earned altogether is :

(12-4) + (15-8)

Which you then, Multiply by x weeks

{(12-4) + (15-8)}x

Furthermore, your answer is going to be {(12-4) + (15-8)}x = 65

* Hopefully this helps:) Mark me the brainliest:)

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Gnesinka [82]3 years ago

5 0

Answer:

{(12-4) + (15-8)}x = 65

Step-by-step explanation:

The amount Amber earns per week

12-4

The amount Nathan earns per week

15 -8

The total amount per week they earn together

(12-4) + (15-8)

Multiply by x weeks

{(12-4) + (15-8)}x

Set this equal to 65 to be the amount they need to equal 65 dollars

{(12-4) + (15-8)}x = 65

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A person invest $1200 in an account that earns 2% interest compound quarterly. Find when the value of the investment reaches $15

Basile [38]

Answer:

After 11 years the value of the investment reaches $1500.00

Step-by-step explanation:

The formula used for finding time (when the value reaches certain amount) is:

$A= P(1+\frac{r}{n})^{nt}$

where A= Future VAlue

P= Principal Value

r= rate of interest (in decimal)

n= no of times investment is compounded

t= time

Putting the values given and finding Time t,

A= $1500

P= $1200

r= 2% or 0.02

n= 4 (compound quarterly)

$A= P(1+\frac{r}{n})^{nt}$

$1500= 1200(1+\frac{0.02}{4})^{4t}$

Dividing both sides by 1200 and solving 0.02/4 = 0.005

$1.25= (1+0.005)^{4t}$

$1.25= (1.005)^{4t}$

Since t is in power we take the logarithm ln on both sides.

The rule of logarithm says that the exponent can be multiplied with the base when taking log

$\ln1.25=ln( 1.005)^{4t}\\\ln1.25=4t * ln( 1.005)\\0.22 = 4t * 0.005\\Solving\,\,\\\frac{0.22}{4*0.005} = t\\=> t= 11\, years$

8 0

3 years ago

Tamara was asked to write an example of a linear functional relationship. She wrote this example:

Llana [10]

Answer:

Tamara's example is in fact an example that represents a linear functional relationship.

This is because the cost of baby-sitting is linearly related to the amount of hours the nany spend with the child: the more hours the nany spends with the child, the higher the cost of baby-sitting, and this relation is constant: for every extra hour the cost increases at a constant rate of $6.5.

If we want to represent the total cost of baby-sitting in a graph, taking the variable "y" as the total cost of baby-sitting and the variable "x" as the amount of hours the nany remains with the baby, y=5+6.5x (see the graph attached).
The relation is linear because the cost increases proportionally with the amount of hours ($6.5 per hour).
See table attached, were you can see the increses in total cost of baby sitting (y) when the amount of hours (x) increases.