Mathematics, 03.08.2019 04:50 ramireztony741

Abi takes a job with a starting salary of $100,000 for the first year. she earns a 3% increase each year. how much does abi make over six years? a. $600,000 b. $618,000 c. $646,841 d. $716,431

Answers: 1

Show answers

Answers

Answer from: glamorouspotato1251

Answer : The correct option is, (C) $646,841

Step-by-step explanation :

The formula used to find the amount for 1 year is:

$A=P(1+\frac{R}{100})^{n-1}$

where,

A = amount

P = principle = $100,000

R = rate = 3%

n = number of year

The formula to find the amount for 6 year will be:

$A=P(1+\frac{R}{100})^{1-1}+P(1+\frac{R}{100})^{2-1}+P(1+\frac{R}{100})^{3-1}+P(1+\frac{R}{100})^{4-1}+P(1+\frac{R}{100})^{5-1}+P(1+\frac{R}{100})^{6-1}$

$A=P(1+\frac{R}{100})^{0}+P(1+\frac{R}{100})^{1}+P(1+\frac{R}{100})^{2}+P(1+\frac{R}{100})^{3}+P(1+\frac{R}{100})^{4}+P(1+\frac{R}{100})^{5}$

$A=P+P(1+\frac{R}{100})^{1}+P(1+\frac{R}{100})^{2}+P(1+\frac{R}{100})^{3}+P(1+\frac{R}{100})^{4}+P(1+\frac{R}{100})^{5}$

$A=P[1+(1+\frac{R}{100})^{1}+(1+\frac{R}{100})^{2}+(1+\frac{R}{100})^{3}+(1+\frac{R}{100})^{4}+(1+\frac{R}{100})^{5}]$

Now put all the given values in this expression, we get:

$A=100,000[1+(1+\frac{3}{100})^{1}+(1+\frac{3}{100})^{2}+(1+\frac{3}{100})^{3}+(1+\frac{3}{100})^{4}+(1+\frac{3}{100})^{5}]$

$A=100,000[1+(1.03)^{1}+(1.03)^{2}+(1.03)^{3}+(1.03)^{4}+(1.03)^{5}]$

$A=\$ 646840.9\approx \$ 646841$

Thus, the amount make by Abhi over six years is, $646841

Answer from: Quest

c is the final answer! : )

Answer from: Quest

when functions are first introduced, you will probably have some simplistic "functions" and relations to deal with, usually being just sets of points. these won't be terribly useful or interesting functions and relations, but your text wants you to get the idea of what the domain and range of a function are. small sets of points are generally the simplest sorts of relations, so your book starts with those.

step-by-step explanation:

state the domain and range of the following relation. is the relation a function?

{(2, –3), (4, 6), (3, –1), (6, 6), (2, 3)}

the above list of points, being a relationship between certain x's and certain y's, is a relation. the domain is all the x-values, and the range is all the y-values. to give the domain and the range, i just list the values without duplication:

domain: {2, 3, 4, 6}

range: {–3, –1, 3, 6}

(it is customary to list these values in numerical order, but it is not required. sets are called "unordered lists", so you can list the numbers in any order you feel like. just don't duplicate: technically, repetitions are okay in sets, but most instructors would count off for this.)

while the given set does indeed represent a relation (because x's and y's are being related to each other), the set they gave me contains two points with the same x-value: (2, –3) and (2, 3). since x = 2 gives me two possible destinations (that is, two possible y-values), then this relation is not a function.

note that all i had to do to check whether the relation was a function was to look for duplicate x-values. if you find any duplicate x-values, then the different y-values mean that you do not have a function. remember: for a relation to be a function, each x-value has to go to one, and only one, y-value.

state the domain and range of the following relation. is the relation a function?

{(–3, 5), (–2, 5), (–1, 5), (0, 5), (1, 5), (2, 5)}

i'll just list the x-values for the domain and the y-values for the range:

Another question on Mathematics

Mathematics, 21.06.2019 17:00

Steve wants to develop a way to find the total cost of any item including sales tax. the sales tax in his city is 6%. his friend jenna writes the expression x + 6x where x is the cost of the item. explain whether her expression is correct based on the situation.

Answers: 1

Answer

Mathematics, 22.06.2019 01:00

The table shown below gives the approximate enrollment at the university of michigan every fifty years. how many more students were enrolled at the university of michigan in 1950 than in 1900?

Answers: 3

Answer

Mathematics, 22.06.2019 02:30

Use stokes' theorem to evaluate c f · dr where c is oriented counterclockwise as viewed from above. f(x, y, z) = xyi + 5zj + 7yk, c is the curve of intersection of the plane x + z = 8 and the cylinder x2 + y2 = 81.

Answers: 2

Answer

Mathematics, 22.06.2019 03:00

Griffin ordered a pair of sneakers online. he had a $22 credit that he applied toward the purchase, and then he used a credit card to pay for the rest of the cost. if the shoes cost $58, how much did griffin charge to his credit card when he bought the sneakers?

Answers: 1

Answer

You know the right answer?

Abi takes a job with a starting salary of $100,000 for the first year. she earns a 3% increase each...

Questions

Mathematics, 02.11.2020 09:10

WILL GIVE BRAINLIEST. 100 POINTS ...

Mathematics, 02.11.2020 09:10

Hurry pl Fill in the blank with the correct number A number is divisible by divisible by four. if the last two digits form a number...

Mathematics, 02.11.2020 09:10

Horizontal; through (-3, 4)...

Mathematics, 02.11.2020 09:10